THEORETICAL STUDIES ON OXIDATIVE ADDITION OF AMMONIA TO IRIDIUM COMPLEXES AND METATHESIS REACTIONS OF TRIPLE BONDS INVOLVING TUNGSTEN, MOLYBDENUM, CARBON AND NITROGEN EMPLOYING DENSITY FUNCTIONAL THEORY
Presented in Partial Fulfillment of the Requirements for
the Degree Doctor of Philosophy in the Graduate
School of The Ohio State University
By
Shentan Chen, M.S.
*****
The Ohio State University 2009
Dissertation Committee: Approved by Professor Bruce E. Bursten, Advisor
Professor Malcolm H. Chisholm, Advisor
Professor Sheldon G. Shore ______Professor Patrick M. Woodward Advisor Graduate Program in Chemistry
ABSTRACT
Activation and cleavage of element-hydrogen bonds, E-H, where E = H, C, N and
O, via oxidative addition to a transition metal complex is an important step in many
catalytic cycles. Hence, an understanding of the factors that influence the oxidative
addition and reductive elimination of H–E bonds is necessary to develop efficient
catalysts. Density functional theory (DFT) has been used to investigate the oxidation
addition of an N-H bond to iridium complexes. Both the electronic properties and steric
properties of the ancillary ligands (Ln) play important roles in affecting the relative
stability of LnIr(III)(NH2)H and LnIr(I)(NH3). Under similar steric effects, LnIr(I)(NH3) is more stable than LnIr(III)(NH2)H when Ln is a poor electron donating ligand and
LnIr(III)(NH2)H becomes more stable than LnIr(I)(NH3) when Ln is a good donating
ligand. The relative stability of LnIr(III)(NH2)H and LnIr(I)(NH3) can thus be manipulated by changing the electronic donating ability of Ln.
Like metal-alkylidyne complexes that are active as catalysts for alkyne metathesis
reactions, metal-nitride complexes can undergo metathesis reactions with M≡M
complexes, nitriles and alkynes. Theoretical studies employing DFT methods on the
ii reactions between the model compounds (MeO)3M≡N and CH3C≡N, where M = Mo and
W, show that the reactions proceed through a cyclobutadiene-like transition state. The
calculated energy of the transition state for M = Mo is 13 kcal/mol higher than that for M
= W. This is consistent with the experimental observation that nitrogen atom exchange
only occurs at elevated temperatures for M = Mo.
The reactivity of metal-nitride molecules is greatly influenced by the metal, the
electron configuration of the metal, and the particular set of attendant ligands. The
t electronic structures of the molecules ( BuO)3M≡N(M = Cr, Mo, W) have been studied by using the gas phase photoelectron spectroscopy and the density functional calculations.
It is found that the alkoxide orbitals mix strongly with the M≡N triple bond orbitals and contribute substantially to the valence electronic structure. The first ionization of
t ( BuO)3Cr≡N is from an orbital of a2 symmetry that is oxygen based and contains no
metal or nitrogen character by symmetry. In contrast, the first ionizations of the
molybdenum and tungsten analogs are from orbitals of a1 and e symmetry that derive
form the highest occupied M≡N σ and π orbitals mixed with the appropriate symmetry
combinations of the oxygen p orbitals. The polarity of the M≡N bond increases down the
group such that W≡N has the highest charge separation. In addition to investigation of
the effects of the metals, the electronic influences of substitution at the alkoxide ligands
have been examined for the molecules (RO)3Mo≡N (R=C(CH3)2H, C(CH3)3, and
C(CH3)2CF3). The introduction of CF3 groups stabilizes the molecular orbital energies,
iii but does not alter the overall electronic structure.
DFT has been applied to study the metathesis reaction between W2(OMe)6 and
MeCN. The reaction begins with the coordination of acetonitrile to W2(OMe)6 to give an
adduct with a planar cyclobutadiene-like W2CN core and is then followed by the cleavage
of the C-N and W-W bond in this adduct to give tungsten alkylidyne and tungsten nitride.
The rate-determining step is the cleavage step. The ditungstenazacyclobutadiene
t intermediate that is structurally related to ( BuO)6Mo2(NCNMe2) can also be readily
obtained from the starting reagents. This structure is calculated to be thermodynamically
unfavorable relative to the metathesis products and thus no such analogue for tungsten is observed in experiment.
iv
DEDICATION
To my parents and Lu
v
ACKNOWLEDGEMENTS
Fist of all, I would like to express my gratitude and thanks to two of my advisors,
Dr. Bruce E. Bursten and Dr. Malcolm H. Chisholm, not only for their patient guidance through the course of this dissertation but also for their encouragement and support throughout my Ph.D. study.
I also would like to thank Dr. Russell M. Pitzer for providing helpful suggestions and lots of education in quantum chemistry. I appreciate that many faculty members in chemistry department gave me a tremendous education. I would give my special thanks to Dr. Shore and Dr. Woodward as my committee members.
I would like to extend my gratitude to all group members in Bursten and Chisholm group, for their friendship, encouragement, and discussions. Sharing an office with Mike
Mrozik was a wonderful experience. He gave me a lot help both within and outside the office. I thank Dr. Benjamin Lear for teaching me how to use the Schlenk line techniques and dry box as well as some other experimental techniques. I thank Chandrani Chatterjee for helping me with the mass spectrum. I appreciate Lacey O'Neal for her help.
Finally I would like to thank my parents and my wife for their unconditional love and support, all the other family members and all my friends, for their encouragement.
vi
VITA
May 18, 1977………………………....Born – Fujian, P. R. China
1994 – 1998…………………………..B.S. Chemistry Nankai University, Tianjin, China
1998 – 2000…………………………..Analyst, Xiamen 3-Circles Battery Co., LTD Fujian, China
2000 – 2003…………………….…….M.S. Chemistry Nankai Univeristy, Tianjin, China
2003 – 2009………………………..…Graduate Teaching and Research Associate, The Ohio State University
PUBLICATIONS
Research publication
1. Chen, Shentan; Chisholm, Malcolm H.; Davidson, Ernest R.; English, Jason B.; Lichtenberger, Deenis L. Theoretical and Spectroscopic Investigations of the Bonding and Reactivity of (RO)3M≡N Molecules, where M = Cr, Mo and W. Inorganic Chemistry 2009, 48, 828-837.
2. Burroughs, Beth A.; Bursten, Bruce E.; Chen, Shentan; Chisholm, Malcolm H.; Kidwell, Andy R. Metathesis of Nitrogen Atoms within Triple Bonds Involving Carbon, Tungsten, and Molybdenum. Inorganic Chemistry 2008, 47, 5377-5385.
3. Bursten, Bruce E.; Chen, Shentan; Chisholm, Malcolm H. Ligand effects on the stability of the insertion products: A DFT study of oxidative addition of NH3 to iridium(I) complex. Journal of Organometallic Chemistry 2008, 693,1547-1551.
vii 4. Du, Miao; Chen, Shen-Tan; Guo, Ya-Mei; Bu, Xian-He; Ribas, Joan. Synthesis, crystal structure, spectroscopy and magnetic properties of a dinuclear Cu(II) complex with 3,5-bis(2-pyridyl)pyrazole bridging ligand. Journal of Molecular Structure 2005, 737,17-21.
5. Du, Miao; Guo, Ya-Mei; Chen, Shen-Tan; Bu, Xian-He; Batten, Stuart R.; Ribas, Joan; Kitagawa, Susumu. Preparation of Acentric Porous Coordination Frameworks from an Interpenetrated Diamondoid Array through Anion-Exchange Procedures: Crystal Structures and Properties. Inorganic Chemistry 2004, 43, 1287-1293.
6. Huang, Zheng; Song, Hai-Bin; Du, Miao; Chen, Shen-Tan; Bu, Xian-He; Ribas, Joan. Coordination Polymers Assembled from Angular Dipyridyl Ligands and CuII, CdII, CoII Salts: Crystal Structures and Properties. Inorganic Chemistry 2004, 43, 931-944.
7. Du, Miao; Bu, Xian-He; Huang, Zheng; Chen, Shen-Tan; Guo, Ya-Mei; Diaz, Carmen; Ribas, Joan. From Metallacyclophanes to 1-D Coordination Polymers: Role of Anions in Self-Assembly Processes of Copper(II) and 2,5-Bis(3-pyridyl)-1,3,4- oxadiazole. Inorganic Chemistry 2003, 42, 552-559.
8. Du, Miao; Chen, Shen-Tan; Bu, Xian-He; Ribas, Joan. Crystal structure and properties of a CuII coordination polymer with 2-D grid-like host architecture for the inclusion of organic guest molecule. Inorganic Chemistry Communications 2002, 5(11), 1003-1006.
9. Du, Miao; Chen, Shen-Tan; Bu, Xian-He. {[Cd(bpo)(SCN)2]CH3CN}n: A Novel Three-Dimensional (3D) Noninterpenetrated Channel-Like Open Framework with Porous Properties. Crystal Growth & Design 2002, 2(6), 625-629.
FIELDS OF STUDY
Major Field: Chemistry
viii
LIST OF TABLE
Table page
2.1 Selected bond lengths and bond angles of complexes 1a, 1b, 2a and 2b …….….. 35
2.2 Relative energies and relative Gibbs free energies (298K) were
given in kcal/mol. Ir-NH3 refers to ammonia coordinated compound while HIr-NH2 refers to hydrido amido compound. …………………………….. 38
4.1 Relative areas of the He I spectra regions (A, A*, B+C) of t t BuOH and ( BuO)3M≡N relative to the total area (A+A*+B+C) …….………… 90
4.2 Prominent features in the He I photoelectron spectra, and the calculated lowest ionization potentials (IP) by ADF2007.01. See Figure 4.4 for definitions of peaks. ……………………………………….… 92
4.3 Comparison of the ADF2007.01 optimized geometrical parameters t with the crystal structure parameters for ( BuO)3M≡N…………………………..100
4.4 The calculated orbital energies (in eV) of the highest six occupied t orbitals for ( BuO)3M≡N. …………………………………………………...….101
t 4.5 Calculated primary orbital characters for ( BuO)3M≡N. ………………………. 102
4.6 Mulliken charges, molecular dipole moment (µ) and M≡N bond
dissociation energies (BDE) calculated by ADF2007.01 for (RO)3M≡N. ……... 107
5.1 Free energies (kcal/mol) and selected bond distance (Å) for intermediates and transition states on the pathway from ditungstenazatetrahedrane to tungsten alkylidyne and nitride. ………………. 128
5.2 Free energies (kcal/mol) and selected bond distance (Å) for intermediates and transition states on the pathway from ditungstenazacyclobutadiene to tungsten alkylidyne and nitride. …………….... 133
ix
LIST OF FIGURE
Figure page
1.1 π-interaction between p-π lone pair orbital on N and the empty and filled d orbitals of a transition metal ……………………………………….….6
1.2 Bonding modes for bent (A) and linear (B) or (C) imido complexes ……………...7
1.3 Synthesis of tungsten-based imido alkylidene complexes form alkyldyne complexes ………………………………………………………..…….10
1.4 Catalytic intramolecular hydroamination ………………………………………....14
1.5 Bond functions of the nitrido ligand: A, terminal; B, asymmetric linear bridge; C, symmetric linear bridge; D, bent bridge; E, T-shaped bridges ……………………………………………....16
1.6 MO diagram: π bonding of nitrido ligand in an octahedral ……………………....17
1.7 Orbital interactions between orbitals at different energy levels. A represents a nucleophilic ligand; B represents an electrophilic ligand ………………………………………………………………………..…….18
1.8 The “Chatt Cycle” for nitrogen fixation ………………………………….…….…22
1.9 Proposed reaction pathway of dinitrogen cleavage with Mo(NRAr′)3 ….…….…..23
2.1 Molecular orbitals showing interactions between the ring π-orbitals and d-orbitals on the iridium in compound 1b ……………………………...... …39
2.2 PCP ligands used for study: Al denotes the type of ligands with an aliphatic backbone and Ar denotes the type of ligands with an aromatic backbone …………………………………………………….….40
x 2.3 The relative Gibbs free energies (∆G298K) vs nuclear charge of P atom. Red corresponds to Aliphatic PCP Ligand and blue corresponds to Aromatic PCP Ligand ……………………………………………………..……...44
15 15 15 3.1 N-NMR spectrum of Cl(CH2)4C≡ N (B), p-Cl-(C6H4)C≡ N (C), 15 and o-F-(C6H4)C≡ N (D); byproducts of a scrambling reaction 15 with (t-BuO)3W≡N and MeC≡ N (A) …………………………………………...52
3.2 15N NMR spectrum of the reaction mixture between Me13C≡N, 15 t MeC≡ N and PhC≡N in the presence of a trace of (Bu O)3W≡N 15 recorded in d8-THF at 298 K, 50.6 MHz. The PhC≡ N signal shows enhancement due to 15N atom exchange and appears as a singlet due to lack of coupling to 1H or 13C whereas the MeC≡N 15N signal shows coupling to 1H, 3J1H–15N = 1.7 Hz and for Me13C≡15N coupling to 13C, 1J13C–15N = 17 Hz. The signal thus appears as a central 1 :3 :3 :1 quartet flanked by 13C satellites. The unsymmetrical nature of the 13C satellites arises from 12C/13C isotopic chemical shift perturbation.………….……………………………………………………....53
3.3 Eyring plot of ln(kobs/T) vs 1/T where y = - 6727x + 7.7142, R2 = 0.9937. The enthalpy parameters were calculated to be ∆H≠ = + 13.4(7) kcal mol-1 and ∆S≠ = -32(2) eu for the 15N isotope 15 13 exchange reaction between (t-BuO)3W≡ N and Me C≡N……………………....56
3.4 Free energy (at 298K) profiles for nitrogen exchange reaction
between (MeO)3W≡N and MeC≡N and structures of transition sates and intermediates with selected calculated structural parameters (Å) …….……...60
3.5 Free energy (at 298K) profiles for nitrogen exchange reaction
between (MeO)3Mo≡N and MeC≡N and structures of transition sates and intermediates with selected calculated structural parameters (Å) …………....61
4.1 Side and top (down the N-Cr bond) views of the crystal 16 t structure of ( BuO)3Cr≡N showing the C3v symmetry ……………………….…80
3 4.2 Orbital interaction diagram of a d -L3M fragment, where L is a simple σ donor ligand (left), with the N(p) orbitals (right). The L-M-L angle is ~110-116˚ for these molecules ……………………….……...82
xi 4.3 Molecular orbital energy diagram showing the interactions
between the six highest occupied π-type combinations of the (RO)3 fragment (middle) and M≡N 2σ and 1π orbitals with two different
energies relative to the (RO)3 orbitals, left and right, of the M≡N orbitals …………………………………………………….….……...84
4.4 He I photoelectron spectra of ROH and (RO)3M≡N (M = Cr, Mo, or W; R = tBu) ………………………………………….………...... 89
t 4.5 He I photoelectron spectra of ( BuO)3M≡N (M = Cr, Mo, or W) in the 8 to 11 eV range. The major features in the spectra are labeled a, b, and c. The onset30 of ionization is designated by a (*) …………………..….91
t 4.6 He II photoelectron spectra of ( BuO)3M≡N (M = Cr, Mo, or W). The data points are the He II spectra shown in comparison to the He I spectra (solid lines). The positions of the lowest energy ionizations with M≡N σ and π character are designated by a (*) ………….……..95
4.7 He I photoelectron spectra of (RO)3Mo≡N t i (Ra= Bu, Rb= Pr, Rc= CH3)2CF3C) ……………………………………….……...98
t i 4.8 He I photoelectron spectra of (RO)3Mo≡N, R= Bu(top), R= Pr(middle), 3 R= CF3(CH )2C (bottom) from 8.5 to 12 eV. The major ionization features in the spectra are labeled a, b, and c. The onset of ionization is designated by a (*) ……………………………………………………………..98
t i 4.9 He II photoelectron spectra of (RO)3Mo≡N (Ra= Bu, Rb= Pr, Rc= CH3)2CF3C). The data points are the He II spectra shown in comparison to the He I spectra (solid lines). The positions of the lowest energy ionizations with M≡N σ and π character are designated by a (*) …………………………………………………...……….…..99
t 4.10 Correlation diagram of the Kohn-Sham orbital energies of ( BuO)3M≡N……….103
4.11 Molecular orbital plots of 2a1, 3e, 2e, and 1e valance orbitals t (contour value = ±0.04) for ( BuO)3M≡N where M = Cr, Mo, and W. The orbital plots for molecules containing Cr and Mo are represented in the same set on the right because they look similar …………………………..105
xii 5.1 Structures of the optimized ditungstenazatetrahedrane complex from different view angles. For better view, the hydrogen atoms are omitted …………...…………………………………………………….…….123
5.2 Free energy (kcal/mol)) profiles for the ditungstunazatetrahedrane
(MeO)6W2(µ-NCMe)→ (MeO)3WCMe + (MeO)3WN……………………….…124
5.3 Structures of the optimized ditungstenazacyclobutadiene complex from different view angles. For better view, the hydrogen atoms are omitted……………………………………………………………………...... 129
5.4 Free energy (kcal/mol)) profiles for the ditungstunazacyclobutadiene
(MeO)6W2(µ-NCMe)→ (MeO)3WCMe + (MeO)3WN ……………………..…130
5.5 Free energy (kcal/mol)) profiles for the starting materials to the postulated intermediates: ditungstunazacyclobutadiene and
ditungstunazatetrahedrane. {(MeO)6W2 + MeCN → (MeO)6W2(µ-NCMe)} The red solid line is the pathway leading to the ditungstunazacyclobutadiene; The blue dash line is the pathway leading to the ditungstunazatetrahedrane. ……………………………………………………....134
5.6 Free energy (kcal/mol)) profiles for the metathesis reaction between
(MeO)6W2 and MeCN. (The solid line corresponds to the pathway for (MeO)6W2 + MeCN →(MeO)3WCMe + (MeO)3WN; the red dash line corresponds to the pathway for the formation of ditungstunazacyclobutadiene.) …………..………………………………………139
xiii
TABLE OF CONTENTS
Page Abstract…………………………………………………………………………………...ii
Dedication………………………………………………………………………………..v
Acknowledgements……………………………………………………………………...vi
Vita……………………………………………………………………………………...vii
List of Tables………………………………………………………………….………...ix
List of Figures…………………………………………………………………………...x
Chapters:
1 Introduction………………………………………………………………………....1 1.1 Transition Metal Complexes Containing Metal-Nitrogen Bonds………....….1 1.2 Transition Metal Amido Complexes………………………………...…….….1 1.3 Transition Metal Imido Complexes……………………………………...... 6 1.3.1 Imido Ligand as A Spectator Ligand……………………...... ….8 1.3.2 M=NR As a Reactive Site……………………………….………11 1.4 Transition Metal Nitrido Complexes………………………………..…….....14 1.4.1 Nitrogen Atom Transfer……………………………….………...19 1.4.2 Dinitrogen Activation…………………………………..…….....21 1.4.3 Metathesis Reactions of Triple Bonds……………………….….24 1.5 Statement of Research Purpose…………………………………...…….…...25 1.6 References…………………………………………………….…...………...27
2 Insights into ligand effects on the relative stability of the NH3 coordination iridium(I) complex and the hydrido amido iridium (III) complex…………………………………………………………………..………....33 2.1 Introduction……………………………………………………..….……...33 2.2 Computational Details………………………………………….………..35 2.3 Results and Discussion…………………………………………...……...... 36 xiv 2.4 Conclusions……………………………………………………………….45 2.5 References……………………………………………………….………..46
3 Metathesis of nitrogen atoms within triple bonds involving carbon, tungsten and molybdenum…………………………………………….………..….48 3.1 Introduction…………………………………………………..……..…….48 3.2 Results and Discussion…………………………………………….……..49 3.2.1 Mo≡N + W≡W → Mo≡W + W≡N………………….....49 3.2.2 Alkylidyne and Nitride Ligand Transfer Between Molybdenum and Tungsten……………………………...... 50 3.2.3 Estimation of Activation Parameters…………………...... ….54 3.2.4 Theoretical and Computational Considerations………………...57 3.3 Concluding Remarks……………………………………………………..64 3.4 Experimental……………………………………………………………..64 3.4.1 General Procedures……………………………………….....….64 3.4.2 Spectroscopic Methods…………………………………………65 3.4.3 Computational Methods…………………………………...……65 3.4.4 Synthesis and Reactions………………………………...….…...66 3.5 References…………………………………………………...……..…….74
4. Theoretical and spectroscopic investigations of the bonding and
reactivity of (RO)3M≡N molecules, where M = Cr, Mo and W…………………..78 4.1 Introduction………………………………………………………...…….78 4.2 Results and Discussion…………………………………………..………80 4.2.1 General Bonding Considerations. ………………………….....80 4.2.2 Photoelectron Spectroscopic Studies……………………....….87 4.2.3 Density Functional Studies……………………………..….….99 4.3 Conclusions……………………………………………………..…...….107 4.4 Experimental and Computational Procedures…………………...... ….109 4.5 References…………………………………………………..……..……114
5. Theoretical study of metathesis reactions involving metal-metal triple bond and carbon-nitrogen triple bond…………………………….….…….118 5.1 Introduction……………………………………………………..………118 5.2 Computational Details…………………………………………..………119 5.3 Results and Discussion…………………………………………..….…..120 5.3.1 The ditungstenazatetrahedrane complex………………..….…122 5.3.2 The ditungstenazacyclobutadiene complex………….……..…129 5.3.3 The formation of ditungstenazatetrahedrane and ditungstenazacyclobutadiene………………..………..…..133
xv 5.3.4 The overall reaction pathway for metathesis reaction (2)…….138 5.4 Conclusion…………………………………………..…………………..140 5.5 References……………………………………………………………….142
Appendices:
A. Calculated Cartesian coordinates for selected molecules in chapter 2……………..145
B. Calculated Cartesian coordinates in chapter 3……………………………………..164
C. Calculated Cartesian coordinates for molecules in chapter 4………………………173
D. Calculated Cartesian coordinates for reactants, stationary points, and products in chapter 5…………………………………………………………..185
Bibliography………………………………………………………………………...…229
xvi CHAPTER 1
INTRODUCTION
1.1 Transition Metal Complexes Containing Metal-Nitrogen Bonds.
Transition metal complexes containing metal-nitrogen bonds compose an important category in organometallic chemistry. These complexes have been implicated as reagents, reactive intermediates, or catalysts in a wide range of metal-mediated processes.1-5 Bonds between metal and nitrogen can be roughly divided into two classes
based on the ways in which nitrogen bounds to metal. In some cases, the ligands bound
to metal only through its long pair electrons. Bonds formed in this way are relatively
weak and so termed dative bond. In other instances, the ligands bound to metal through
covalent interaction between metal and nitrogen. Such ligands including amido (-NR2),
imido (=NR) and nitrido (≡N:) are of immense importance due to their reactivity and
applications.
1.2 Transition Metal Amido Complexes.
- Metal amides are compounds in which the NR2 ligand is attached to a metal. The
simplest case has the structural unit shown in I. The amido ligand is one of the most
1 prolific of ligands. Stable compounds are found for almost all elements ranging form
main group metal to transition metal including lanthanides.
LnMNR2
I
6 The first metal amide, Zn(NEt2)2, was reported by Frankland in 1856 , but the
transition metal amides were not discovered until the late 1950’s, excluding titanium
tetrakis (diphenyl amide) which was discovered in 1935 when Dermer and Fernelius7 reacted titanium tetrachloride with potassium diphenylamide. Since then metal amide complexes have been reported for almost all transition metals except some late transition metals.8 I the 1970’s, lanthanide amides began to appear9. More recently, low-valent late
transition metal amides are of wide interest due to their ability of catalytic
transformation.
By far a variety of synthetic routs to transition metal have been developed. One of
the most common methods is the transmetallation,10 namely the reactions of
transition-metal chlorides with lithium dialkylamides generally described in Equation 1.
LnM-Cl + Li-NR2 → LnM-NR2 + Li-Cl (1)
This synthetic procedure has been successfully employed to prepare a complete
series of first row transition-metal disilylamides and several lanthanide disilyamides by
11-15 using LiN(SiMe3)2. However reaction (1) is not always applicable to the synthesis of
2 low valent late transition-metal amides. In some cases, this reaction also leads to a
change in oxidation of metal. For example, the reaction of MoCl5 and LiNMe2 leads to the formation of Mo(NMe2)4 and Mo2(NMe2)6.
Another method to synthesis transition-metal amides is the reaction of
transition-metal halides with ammonia or amines to form metal amides.16-18 This
synthetic route has wide applications for the higher oxidation state halides of the early
transition metals. The main limitation is that the reaction rarely goes to completion and
the formation of amine complexes.
Transamination reactions (Equation 2) have also been applied to the synthesis of
transition-metal amides. In this type of reactions, amine with higher volatility is
eliminated. Therefore transamination reactions are limited in their application by amine
i volatility and steric factors. Reaction of Ti(NMe2)4 with excess HNPr2 gives
i Ti(NMe2)3NPr2 while reaction of Ti(NMe2)4 with 3 equivalent of HNPr2 produces
10 TiNMe2(NPr2)3.
LnMNR2 + HNR´2 → LnMNR´2 + HNR2 (2)
In addition, the direct oxidative addition of an N-H bond of ammonia or amine is
an important way to produce metal amides, as in Equation 3.
LnM + HNR2 → LnM(H)(NR2) (3)
Oxidative addition of N-H bond is more applicable to the synthesis of late transition
3 metal amides since the oxidative addition procedure generally requires electronic rich
low valent transition metal complexes. Many late transition-metal amides have been
synthesized through this method. It has been found that such reactions depend on the
relative N-H acidity, transition metal and the ancillary ligands of metal complexes.19
Another important fact is that the oxidative addition of an N-H bond to a low valent transition metal complex is potentially an important step in catalytic processes such as alkene hydroamination.20 Therefore systematic investigation of the factors influencing the oxidative addition reactions of N-H to transition metal centers is necessary to gain
insight into the transition-metal amides as intermediates in the catalytic cycles.
The reactivity of transition-metal amides generally depends on M-N bond polarity and bond strength. For a σ-bonded amido ligand there are three possible bonding interactions. The first has a structure (II) with a pyramidal nitrogen and approximately sp3 hybridization. The second structure (III) shows the trigonal planar nitrogen geometry
which illustrates the possibility of π bonding involving p lone pair donor of nitrogen and
d orbitals of the transition metal as well as approximately sp2 hybridization on nitrogen.
The amido can also behave as a bridging ligand shown in structure IV. A possible way to
avoid the formation of amido bridging moieties is the introduction of bulky substituents on nitrogen or other ancillary ligands.
4
R R R N LnM N N LnM R R R LnM MLn II III IV
The p-π/d-π interaction can either stabilize or destabilize the transition-metal
M-N complexes as indicated by Caulton.21 As shown in Figure 1.1, if the lone pair donor
on nitrogen interacts with an empty d orbital of metal center then the complex is stabilize.
On the other hand, if the lone pair donor interacts with a filled d orbital then the p-π/d-π
repulsion destabilizes the complex. Thus the amido ligand should bound more strongly to
high valent early transition metals which have vacant d orbitals than to low valent late
transition metals which have filled d orbitals.
5 π* π*
d p d
π π
Figure 1.1 π-interaction between p-π lone pair orbital on N and the empty and filled d orbitals of a transition metal.
1.3 Transition Metal Imido Complexes
Terminal transition metal Imido complexes which have the general formula
22 LnM(NR) was discovered in the late 1950’s. Since then, they have been the focus of considerable attention.23
The imido ligand can be described to bond to a transition-metal with one σ and either one or two π interactions. As shown in Figure 1.2, structure A shows a bent M-N-R linkage with a M=N double bond (one σ and one π). Nitrogen atom in this structure can be depicted as a sp2 hybridized nitrogen with the lone pair residing in a sp2 orbital.
M-N-R linkage in transition-metal imido complexes can also be linear, indicating a sp 6 hybridized nitrogen atom. In structure B, the M=N double bond is maintained and the
lone pair p orbital on nitrogen is mainly no-bonding possibly due to the mismatch of symmetry and energy between nitrogen p and available metal d orbitals. When symmetry allows and the energy level of the p and d orbitals are close, the lone pair will interact
with the empty metal d orbital, resulting in a triple bonded M≡N-R moiety shown in
structure C. It has been found that most of the linear imido complexes can be understood
in terms of M≡N-R structure.24 In general, when then M-N-R angle is greater than
155-160º the NR-2 ligand is normally considered as a linear six-electron donor with one σ
and two π interactions. Imido group are also known to be able to bridge two and even
three metal atoms. An important character of imido complexes is that their structures and
reactivity can be profoundly changed by modification of the substituent on N atom.
N LnM LnMN R LnM N R R A B C
Figure 1.2 Bonding modes for bent (A) and linear (B) or (C) imido complexes.
Transition-metal imido complexes have found wide applications in materials,
catalysts and nitrogen transfer reagents. The reactions can be divided into two types:
7 those in which the imido ligand acts as a supporting ligand and those where the M=NR
bond itself is the reactive site.24
1.3.1 Imido Ligand as A Spectator Ligand
One of the main applications of imido complexes is for catalytic reactions. In
most cases, the imido ligand itself does not react with the substrates but only functions as
a supporting or spectator ligand.
As a spectator ligand, the imido ligand has been used to develop well-defined olefin metathesis. Olefin metathesis has been one of the most fantastic discoveries in chemistry and become the standard synthetic reaction. Shrock, Chauvin, and Grubbs have won the Nobel Prize for their brilliant work in this area. It has been accepted that the olefin metathesis reaction proceeds through the formation and decomposition of a
metallacyclobutane intermediate.25 The procedure requires a transition metal complex
containing carbene ligand to facilitate the reaction.
Early olefin metathesis catalysts were typically prepared by the reaction of W(VI)
complexes (WCl6 or WOCl4) with alkylating agents such as alkyl aluminum, alkyl
lithium, and alkyl stannane.26 However, these early catalysts were not well characterized
and the oxidation state of the metal and the nature of the ligands were never determined.
Although many of these catalysts have been found to be very active, they are generally
the short-lived and tend to produce side products. They are also readily deactivated by
common Lewis base functional groups. As a consequence, the activity of this type of
8 catalysts can not be controlled in a rational manner. Therefore, development of
well-defined catalyst for olefin metathesis is of significant importance.
t t The five coordinate tungsten complex, ( BuO)4W=CH Bu, which was believed to
be a possible well-fefined catalyst for olefin metathesis, but the first attempt to prepare
t t this complex by the reaction between ( BuO)4WO and (PEt3)2TaCl3(CH Bu) resulted in
t t 27-28 t the formation of (PEt3)2W(O)Cl2(CH Bu) and ( BuO)4TaCl. (PEt3)2W(O)Cl2(CH Bu) was found to metathesize olefins very slowly. By addition a trace of Lewis acid such as
27 t AlCl3, the rate of metathesis was dramatically increased. (PEt3)2W(O)Cl2(CH Bu) is an
18 electrons compound, AlCl3 probably removes a chloride to generate an electron deficient complex which is active to olefin metathesis. However, the metathesis activity was limited since the alkylidene complexes other than the neopentylidene were not stable.29 One strategy to stabilize the alkylidene complexes is to introduce the sterically
bulky groups such as imido ligand in place of isoelectronic oxo ligands.
In 1982, Shrock and coworkers found a simple method to synthesize imido
alkylidene tungsten complex by transferring a proton from an amido nitrogen to an
alkylidyne carbon as shown in Equation 4.30
N NH PEt PEt3 3 70ºC t (4) Cl M CtBu Cl M CH Bu Toluene Et P Et3P Cl 3 Cl
9 The concern about this reaction is the involvement of phosphine ligands. Six years later an analogous transformation was found on dimethoxyethane complex,31 as shown in
t Figure 1.3. A four coordinated complex (R´O)2W(NR)(CH Bu) could be obtained by the treatment of 5 with bulky alkoxide lithium. The metal complexes of the general formula
[M(CHR)(NAr)(OR´)2] have been widely known as Schrock’s type catalysts, where M is
Mo or W. The reactivity of this type of catalysts can be tuned by modification the alkyl groups of alkoxides.32
tBu Cl Cl Cl MeO MeO Cl t t t 3 equiv W Bu W ClMg Bu Bu W tBu MeO Cl HCLDM Cl t OMe OMe Bu E 3 1 2 NHTMS
iPr iPr
iPr iPr iPr iPr i Pr i HN Pr 10 N 2 LiOR Cl Clt N MeO MeO Bu W tBu mol% tBu -DME W W Et N RO -2LiC Cl 3 Cl RO OMe OMe l 6 5 4
Figure 1.3 Synthesis of tungsten-based imido alkylidene complexes form alkyldyne complexes.
10 In addition, imido complexes have also found application in Ziegler-Natta olefin
polymerization. Olefin polymerization using single-site metallocenes is an important
subject in the polymer industry.33-35 Extensive work has been carried out to sudy
regio-/stereo-specificity and molecular weight control.34-37 It has been found that the
reaction chemistry of ansa-metallocenes often differs significantly from that of their
nonbridged analogues. Replacing the cyclopentadienide with isolobal ligand is a possible
approach to generate new alternative catalysts to metallocenes.38 As mentioned before,
imido ligand can be considered as a six-electron donor which bound to metal center
through one σ and two π bonds. The frontier orbitals of the imido ligand are somewhat
similar to those of cyclopentadienide ligand. Therefore, it is possible to use imido ligands
instead of cyclopentadienide ligands for new catalysts with the aim to tune both the
electronic and steric requirements of the metal center.
Much progress has been made in the development of imido-supported
non-metallocene ofefin polymerization catalyst during the past couple decades. Many
imido complexes in group 4-6 have been synthesized and tested for olefin polymerization.
The most active imido-supported olefin polymerization catalysts discovered so far are
predominantly titanium based complexes.39-40
1.3.2 M=NR As a Reactive Site
Another point of interest associated with M=NR is the reactivity of the unsaturated M=NR linkage itself. The reactivity of imido ligand varies with the nature
11 and oxidation state of the transition metal as well as the structure of the M-N-R linkage and the substituent R.41
A bent imido ligand has a feature of M=N double bond with the lone pair
electrons residing in one of the sp2 hybridied orbitals on nitrogen. Thus imido ligand with
a bent structure tends to be necleophilic and Lewis basic. In general, bent imido
complexes are found in complexes containing low valent tranisiton metal and other
multiply bonded ligands. When the imido ligand appears to be linear, the bond between
the metal center and nitrogen can be considered a triple bond in most cases. By formation
of an additional π bond through donating the p lone pair to the metal d orbital, the
electron density decreases on the nitrogen. Therefore, linear imido ligand is expected to
be electrophilic. For instances, this electrophilic reactivity has been observed for imido
complexes of chromium(IV),42 chromium(V)43 and tungsten(IV).44 However, not all
linear imido ligands exhibit electrophilic reactivity. For example, [Cp*Ir(NtBu)] which
has a linear terminal imido has been found to react with methyl iodide.45
With the active M=NR linkage, imido complexes have found the applications in
reactions such as E-H (E=H, C, and S) bond activation and amination of unsaturated
molecules.4 In E-H bond activation reactions, the group 4 imido complexes show the
greatest activity. Many titatium and zirconium imido complexes have been reported to
activate C-H bonds (from sp to sp3), H-H, and S-H bonds.46-49 For example the reactions
* of Cp2 Ti(NPh) with HC≡CR (R=Ph, SiMe3) and H2 produce the anilido-acetylide
12 * 46 * 48 complex Cp2 Ti(NHPh)(C≡CR) and hydride-amido complex Cp2 Ti(NHPh)(H)
* respectively. In contrast, the reaction of Cp2 Ti(NPh) with acetylene gives the
* 50 azametallacycle Cp2 Ti[N(Ph)CH=CH] as shown in V. The preference for acetylenic
C-H over [2+2] cycloaddition is probably due to steric interactions between the imide
and alkynl substituents. Not only do the imido titanium complexes undergo [2+2]
cycloadditon with alkynes and alkynes, they react with unsaturated substrates containing
C-E (E=N, O, P) multiple bonds.51-53
Ph Cp* N Ti CH2 Cp* C H2 V
Imido complex has also been implicated as an intermediate in hydroamination
reactions.54-56 A general method used to synthesize heterocycles is the catalytic
intramolecular hydroaminations of amines with unsaturated alkyl group.57-58 As shown in
Figure 1.4, reaction of amine with CpTiCl3 gives a imido titanium intermediate which
undergoes [2+2] cycloaddition between Ti=N and C≡C to form an azametallacycle.
Further treatment of the azametallacycle results in the desired herterocycle and initial titanium complex CpTiCl3.
13 Ti(Cp)Cl NH 2 N N Ti(Cp)Cl n CpTiCl3 n n C - 2 HCl C CC C C R R R + 2 HCl - CpTiCl3
N n C
Figure 1.4 Catalytic intramolecular hygroamination.
1.4 Transition Metal Nitrido Complexes
The first transition metal nitrido complex, “potassium osmiamate”, was
synthesized by Fritsche and Struve in 1847.59 The structure of its anion was initially
assigned as that shown in VI and it was not until 1901 that the presence of a nitride
ligand in this complex was recognized.60 The correct structure is shown in VII. The first
neutral mononuclear nitrido complex was reported in 1963 by Chatt and coworkers
whose structure is given in VIII.61 By far, mononuclear nitrido complexes are known for most of the first row transition metals and some of the second and third row metals.3
Most of the nitrido complexes favor high oxidation state metals with electron configurations in the range of d0 to d2.
14 N NO N
Os Cl PPh O Os O Re 3 - O O O Ph3P Cl
VI VII VIII
The application of nitrido ligands reflects the great stability of the metal nitrogen
triple bond. In 1966, Chatt recognized the inherent strength of the metal-nitrogen triple
bond as well as the ability of the nitrido group to offer stability to organotransition metal
62 species. He reported a series of arylrhenium nitride complexes, Re(N)Ar2(PR3)3 (where
R = alkyl). Later on, Belmonte and Shapley were also able to produce a series of ruthenium(VI) and osmium(VI) alkyl derivates by using the same stabilizing ability of
the nitrido ligand.63 Applications of nitido ligands have also been extended to
pharmaceuticals and electronic materials.64
Most nitrido complexes involve a terminal nitrido ligand which consists of one
M-N σ bond and two M-N π bonds as illustrated in Figure 1.5A. The lone pair of
electrons bestows weak basicity to the nitrido ligand. The strength of the basicity
depends on the metal and ancillary ligands of the complex. Under certain conditions, the
lone pair of electrons at the nitrido ligand is able to form a dative bond to the
transition-metal center of another complex. Thus asymmetrical M≡N-M bridges (Figure
1.5B) are formed. In some instances, symmetrical bridges (Figure 1.5C) are formed. In
this case the nitrogen p-π orbitals interact with d-π orbitals on both adjacent metals to
15 form two degenerate dπ-pπ-dπ orbitals. Apart form terminal nitrido ligand and linear
bridges, bent bridges (figure 1.5D) and T-shaped bridges (figure 1.5E) have also
appeared.65
M N M N M M N M
A B C
N M
MM MNM D E
Firure 1.5 Bond functions of the nitrido ligand: A, terminal; B, asymmetric linear bridge; C, symmetric linear bridge; D, bent bridge; E, T-shaped bridges.
The reactivity of the nitrido ligands depends on the nature of the transition metal, the oxidation state of the metal center, and the ancillary ligands of the complex. Like most multiply bonded ligands, the nitrido ligands have reactivity that ranges from electrophilic to nucleophilic. In general, the most electrophilic nitrido ligands are observed in complexes of high oxidation state early transition metals. Whereas low-valent late transition metals with π-acidic ancillary ligands exhibit nucleophilic nitrido ligands reactivity. 16
* σ * σ e2g * σ π*
nb t2g nb
p
Octahedral π Nitrogen Metal atom
Figure 1.6 MO diagram: π bonding of nitrido ligand in an octahedral.
The reactivity of the nitrido ligands can be rationalized by the nature of the frontier orbitals. For simplification the π bonding between nitrido and transition metal in an octahedral environment is given in Figure1.6. The π interaction of the ligand’s p orbitals with the metal’s d orbitals can be affected by the transition metal and the ancillary ligands. If the metal’s d orbitals is higher in energy than the ligand’s p orbitals, the pπ-dπ interaction results in a π* orbital which is mostly metal in character as shown in figure 1.7A. In this case, the nitride ligand is nucleophilic. On the toher hand, the ligand is predicted to be electrophilic when the π* is mostly ligand based as shown in figure 1.7B. Thus, nucleophilic nitrido ligand is typically for early transition metal 17 complexes in high oxidation state, while electrophilic nitrido ligand is expected for late transition metal complexes in low oxidation state. The above two situations are the two extreme cases on the two ends. Between the two extreme cases, the π* orbital contains both metal and ligand’s character when the ligand p orbital is close in energy to metal d orbital. In complexes of this type, the nitrido ligands exhibit both nucleophilic and electrophilic property.
π* π*
d p
π p d π
A B
Figure 1.7 Orbital interactions between orbitals at different energy levels. A represents a nucleophilic ligand; B represents an electrophilic ligand.
Transition-metal complexes with terminal nitride ligand have recently become of great interest not only for their ability to stabilize organotransition metal complexes but also for their potential role in nitrogen atom transfer, nitrogen fixation and catalytic processes. 18 1.4.1 Nitrogen Atom Transfer
Atom and group transfer reactions mediated by transition metal centers are
important in synthetic chemistry. One notable example of atom transfer occurs in the
cytochrome P-450 enzyme, where an iron porphyrin complex transfers an oxygen atom
from an iron oxo intermediate to a substrate. Atom transfer involving oxygen and sulfur has been identified an important class of reactions in biological chemistry.66 Nitrogen
atom transfer reactions are of interest due to the fact that nitrogen atom transfer is a key
intermediate step in the nitrogen fixation pathway and has the potential application in
amination.
The first example of complete inter-metallic nitrogen atom transfer was reported
in 1985, involving the reduction of (N)MnV(TTP) with CrII(TTP) in THF(Equation 5) in
which the nitrodomanganese(V) complex is formally reduced to manganese(II) upon the
transfer of the nitrogen atom, and forms the nitridochromium(V) complex.67 Woo and
coworkers have observed reversible nitrogen atom transfer reactions for
nitridomanganese porphyrin and salen complexes,68-69 as shown in Equation 6. Both of
the above reactions involve the transfer of three electrons. In addition to three-electron
nitrogen atom transfer, two-electron transfer has also been observed for both manganese
and chromium and complexes.68,70-71 As shown in Equation 7, nitrido and chloride
ligands exchange between the two complexes and the metal in nitrido complex is reduced by two units. The reversibility of the reaction depends on the metal and ancillary. For
19 example, the reaction between N≡MnV(OEP) and Cl-CrIII(TTP) is irreversible.72
(N)MnV(TTP) + CrII(TTP) MnII(TTP) + (N)CrV(TTP) (5)
(N)MnV(TTP) + MnII(OEP) MnII(TTP) + (N)MnV(OEP) (6)
V III III V N≡M (Ln) + Cl-M (L´n) Cl-M (Ln) + N≡M (L´n) (7) Where M = Mn or Cr, Ln and L´n = porphyrin or salen ligands
The nitrogen atom transfer can also be use to synthesize nitrdo complexes which
are difficult to obtain by common synthetic routes. In 2003, Bendix prepared a simple
2- nitrido complex, [Cr(N)Cl4] , by nitrogen atom transfer between CrCl3(THF)3 and
Mn(V)(N)(Salen).73 For the first row transition metals, most of the known nitrido
complexes contain polydentate ligands such as Schiff-bases, porphyrins, and salen. This
prevalence of polydentate arises from the harsh synthetic conditions which are not
2- compatible with monodentate ligands. The success in preparation of [Cr(N)Cl4] introduces an applicable procedure to the synthesis and isolation of the first row transition-metal nitrido complexes with monodentate ligands including phosphines, pyridines, thiocyanate, and amines.
Nitrogen atom transfer finds great utility in organic synthesis besides the preparation of metal compounds.74 It can serve as a nitrogen atom transfer reagent in the
preparation of specific nitrogen-containing organic compounds. For instance, Groves has
reported that high-valent nitridomanganese(V) complexes can be used for the
aziridination of cis-cyclooctene.75 This reaction was later extended to aziridination and
20 alkene amination by Carreira and coworkers.76
1.4.2 Dinitrogen Activation
Nitrogen which is an essential element in the biosphere of this planet composes
78% of the air. However this diatomic triple-bonded molecule is inert, which makes it
challenging to use as a feedstock. In nature, the nitrogen fixation is mainly through the
conversion of dinitrogen to ammonia by nitrogenase enzymes contained in bacteria.77-78
In industry, the Haber-Bosh process is used to produce over 100 million tons of ammonia annually.79 The reaction involved in the Haber-Bosh process is simple as shown in
Equation 8, but the realization of this reaction is extremely difficult due to kinetic
stability of N≡N triple bond.
N2 + 3H2 → 2NH3 (8)
The heterogeneous iron catalysts used in Haber-Bosh process requires high temperatures
(300-500°C) and pressures (500 atm). Recent development of the Ru catalyst allows
slightly milder operating conditions (70-105 atm, 350-470°C), it is still an
energetic-demand process.80 Therefore development of dinitrogen fixation systems under
mild conditions is of significant importance. Studies on the nitrogenase enzymes suggest
that transition metal plays an important role in dinitrogen activation. For decades,
enormous efforts have been made to develop the catalysts which are capable of
dinitrogen fixation under mild conditions. It has been postulated that a transition metal
nitride species plays an intermediate role by stabilizing the nitride ions formed by the 21 reductive cleavage of the N≡N bond during nitrogen fixation.81
One of the most mechanistically elaborated transition metal systems is reported by
Chatt as show in Figure 1.8 which is called “Chatt Cycle”.82 Two equivalent of ammonia were produced by a series of protonation and reduction of N2 coordinated to the Mo(0) complex. Similar process was reported later by Shrock employing Mo(III) complex with ligated ligand.83
N N
+H NH2 +N2 P Mo P L +e N NH3 P P P P P Mo P Mo L P L P P P +H +e +H +e NH2
NH2 N
P Mo P NH3 P Mo P L P L P P P
+H NH +e 3 +H NH N
P Mo P N P Mo P P L P L P P P +H Mo P +e +e P L P
Figure 1.8 The “Chatt Cycle” for nitrogen fixation.
22 Another important trend in dinitrogen activation is the dinitrogen cleavage by
high oxidation state metal centers. The first example of facile dinitrogen cleavage was
84 reported by Cummins et al with the complex Mo(NRAr′)3 [where R=C(CD3)2CH3]. The
reaction of Mo(NRAr′)3 with nitrogen under ambient conditions produces the
corresponding terminal nitride Mo(VI) complex, (Ar′RN)3Mo≡N. The conversion is
proposed to proceed through a dinuclear µ–N2 complex which subsequently cleaves the
N-N bond to form two equivalent of a terminal nitride as shown in Figure 1.9. In 1994,
Schrock and coworkers characterized a similar paramagnetic dinuclear dinitrogen Mo(III)
complex which substantiated the presence of 2.85
ArRN N NRAr ArRN Mo N Mo(NRAr) N NRAr 3 N2 1 atm Mo N ArRN Mo NRAr ArRN NHRAr -35 C NRAr Mo 1 NRAr ArRN NRAr 1-N2 2
N 30 C Mo NRAr t = 35 min ArRN 1/2 NRAr 3
Figure 1.9 Proposed reaction pathway of dinitrogen cleavage with Mo(NRAr′)3
23 1.4.3 Metathesis Reactions of Triple Bonds
Although the nitride complexes have been known for more than 150 years,
metathesis reaction involving M≡N bond has been only been reported very recently. In
t t 1982, Shrock reported “chop-chop” reactions: ( BuO)3W≡W( BuO)3 reacts with
t t acetylenes to give two equivalent corresponding alkylidynes; ( BuO)3W≡W( BuO)3 also reacts with nitriles to produce quantitatively alkylidyne complexes and nitride complexes.86 The later has become a useful method to generate group 6 metal (Mo and
W) nitrides. The nitride complexes, L3M≡N, where L = alkoxide and M = Mo or W, have been found by Chisholm87 to undergo nitrido ligand transfer reactions as illustrated in
Equation 9-11.
13 13 L3W≡ CMe + L3Mo≡N L3W≡N + L3Mo≡ CMe (9)
15 15 L3W≡ N + L3Mo≡N L3W≡N + L3Mo≡ N (10)
L3Mo≡N + L3W≡WL3 L3W≡N + L3Mo≡WL3 (11)
The facility of nitrogen atom transfer as shown in Equation 9-11 initiates the
study of the potential for nitrogen atom exchange between metal nitrides and
t 15 organonitriles. The compound ( BuO)3W≡ N was shown to exchange its nitrogen atom
with that of acetonitrile (Equation 12) and further catalyze 15N scrambling with
benzonitrile88 (Equation 13). The similar reactions involving Mo analogue was only
observed when solution was heated up to 70°C. It has also been found that the reaction is
quite tolerant to steric factors and carbon-halogen bond as well as C=C bonds.
24 t 15 t 15 ( BuO)3W≡ N + MeC≡N (BuO)3W≡N + MeC≡ N (12)
H H
15 CN ((+)-Men-O)3W≡ C N (13) MeC15 H3CO H3CO
The reactivity of nitride toward metathesis reaction can be also extended to
alkynes.89-91 The conversion from alkylidyne to nitride upon the reaction between
t 92 RC≡W(O Bu)3 and PhCN has been observed by Schrock for more than two decades.
However, the first example of a conversion in the opposite direction was only reported by
89 Johnson very recently. It was found that N≡Mo(OC(CF3)2Me)3 undergoes metathesis
reaction with 3-hexyne at high temperature to give the corresponding propylidyne which
is a active catalyst for alkyne metathesis. The rate of this reaction increases when the
more highly fluorinated alkoxide ligands are involved. This discovery facilitates the
synthesis of the highly reactive catalysts for alkyne metathesis reactions.90-91
1.5 Statement of Research Purpose
The work in this thesis describes our computational studies employing the density
functional theory (DFT) on the oxidative addition of ammonia to iridium metal
complexes and the metathesis reactions of triple bonds involving the metal nitride
complexes. In chapter 2 we study the effects of ancillary ligand on the relative stability of
an ammonia iridium complex and its isomer, hydrido amido iridium complex to gain
insight into the N-H bond activation through direct cleavage by a transition metal 25 complex. In chapter 3 we study the nitrogen atom exchange between tungsten (or molybdenum) nitride and acetonitrile. The calculated reaction pathways show that the reactions proceed through a 2+2 cycloaddition and the reaction barriers are influenced by metal center. In chapter 4 we investigate the electronic structures of the molecules
(RO)3M≡N(M = Cr, Mo, W) with gas phase photoelectron spectroscopy and density functional calculations. The reactivity of this series of nitride complexes is sensitive to both metal center and the alkoxide ligands. In chapter 5 we perform a detailed computational study on the metathesis-like reaction between W≡W hexaalkoxides and acetonitrile which yields alkylidyne and nitride tungsten complexes to elucidate its mechanism.
26 1.6 References
(1) Bryndza, H. E.; Tam, W. Chem. Rev. 1988, 88, 1163.
(2) Roundhill, D. M. Chem. Rev. 1992, 92, 1.
(3) Hartwig, J. F. Angew. Chem., Int. Ed. 1998, 37, 2047.
(4) Nugent, W. A.; Mayer, J. M. Metal-Ligand Multiple Bonds; Wiley-Interscience: New York, 1998.
(5) Hazari, N; Mountford, P. Acc. Chem. Res. 2005, 38, 839.
(6) Eikey, R. A.; Abu-Omar, M. M. Coord. Chem. Rev. 2003, 243, 83.
(7) Bell, N. A., J. Chem. Soc (A), 1966, 542.
(8) Dermer, D. C.; Fernelius, W. C. Z. Anorg, Chem. 1935, 221, 83
(9) Bradley, D. C.; Chisholm, M. H. Acc. Chem. Res. 1976, 9, 273.
(10) Ghotra, J. S.; Hursthouse, M. B.; Welch, A. J. Chem. Comm. 1973, 669.
(11) Bradley, D. C.; Thomas, I. M. J. Chem. Soc. 1960, 3857.
(12) Burger, H.; Wannagat, U. Monatsh, Chem. 1963, 94, 1007.
(13) Burger, H.; Forker, C.; Goubeau, J. Monatsh, Chem. 1965, 96, 597.
(14) Bradley, D. C.; Copperthwaite, R. G.. Chem. Comm. 1971, 765.
(15) Alyea, E. C.; Bradley, D. C.; Copperthwaite, R. G.. J. Chem. Soc., Dalton Trans. 1972, 1580.
(16) Bradley, D. C.; Copperthwaite, R. G..; Cotton, S. A.; Gibson, J.; Sales, K. D. J. Chem. Soc., Dalton Trans. 1973, 191.
(17) Cowdell, R. T.; Fowles, G. W. A. J. Chem. Soc. 1960, 2522.
(18) Fowles, G.. W. A.; Pleass, C. M. J. Chem. Soc. 1957, 1674.
27 (19) Edwards, D. A.; Fowles, G. W. A. J. Chem. Soc. 1961, 24.
(20) Macgregor, S. A. Organometallics 2001, 20, 1860.
(21) Hartwig, J. F. Angew. Chem. Int. Ed. 1998, 37, 2046.
(22) Caulton, K. G.. New J. Chem. 1994, 18, 25.
(23) Clifford, A. F.; Kobayashi, C. S., Abstracts, 130th National Meeting of the American Chemical Society, Atlantic City, NJ, Sept. 1956, P50R.
(24) Nugent, W. A.; Haymore, B. L. Coord, Chem. Rev. 1980, 31, 123.
(25) Wigley, D. E. Prog. Inorg. Chem. 1994, 42, 239.
(26) Herisson J. L.; Chauvin,Y. Makromol. Chem. 1970, 141, 161.
(27) Ivin, K. J. Ofefin Metathesis, Academic, New York, 1983.
(28) Wengrovius, J. H.; Schrock, R. R.; Churchill, M. R.; Missert, J. R.; Youngs, W. J. J. Am. Chem. Soc. 1980, 102, 4515.
(29) Churchill, M. R.; Rheingold, A. L.; Youngs, W. J.; Schrock, R. R. J. Organomet. Chem. 1981, 204, C17.
(30) Wengrovius, J. H.; Schrock, R. R. Organometallics 1982, 1, 148.
(31) Rocklage, S. M.; Schrock, R. R.; Chruchill, M. R.; Wasserman, H. J. Organometallics 1982, 1, 1332.
(32) Schrock. R. R.; DePue, R.; Feldman, J; Schaverien, C. J.; Dewan, J. C.; Liu, A. H. J. Am. Chem. Soc. 1988, 110, 1423.
(33) Schrock, R. R.; Hoveyda, A. H. Angew, Chem. Int. Ed. 2003, 42, 4592.
(34) Bochmann, M. J. Chem. Soc. Dalton Trans. 1996. 255.
(35) Alt, H. G.; Koppl, A. Chem. Rev. 2000, 100, 1205.
(36) Coates, G. W. Chem. Rev. 2000, 100, 1223.
28 (37) Resconi, L.; Cavallo, L.; Fait, A.; Piemontesi, F. Chem. Rev. 2000, 100, 1253.
(38) McKnight, A. L.; Waymouth, R. M. Chem. Rev. 1998, 98, 2587.
(39) Hoffmann, R. Angew. Chem. Int. Ed. 1982, 21, 711.
(40) Gade, L. H.; Mountford, P. Coord. Chem. Rev. 2001, 216-217, 65.
(41) Duncan, A. P.; Bergman, R. G. Chem. Rec. 2002, 2, 431.
(42) Eikey, R. A.; Abu-Omar, M. M. Coord. Chem. Rev. 2003, 243, 83.
(43) Moubaraki, B.; Murray, K. S.; Nichols, P. J.; Thomson, S.; West, B. O. Polyhedron 1994, 13, 485.
(44) Leung, W.-H.; Wu, W.-C.; Wang, Y. J. Chem. Soc. Dalton Reans. 1994, 1659.
(45) Perez, P. J.; White, P. S.; Brookhart, M.; Templeton, J. L. Inorg. Chem. 1994, 33, 6050.
(46) Glueck, D. S.; Hollander, F. J.; Bergman, R. G. J. Am. Chem. Soc. 1989, 111, 2719. (47) Polse, J. L.; Andersen, R. A.; Bergman, R. G. J. Am. Chem. Soc. 1998, 120, 13405.
(48) Cundari, T. R.; Klinckman, T. R.; Wolczanski, P. T. J. Am. Chem. Soc. 2002, 124, 1481.
(49) Hanna, T. E.; Keresztes, I.; Lobkovsky, E.; Bernskoetter, W. H.; Chirik, P. J. Organometallics 2004, 23, 3448.
(50) Mountford, P. J. Organomet. Chem. 1997, 528, 15.
(51) Ward, B. D.; Maisse-Francois, A.; Mountford, P.; Gade, L. H. Chem. Commun. 2004, 704.
(52) Pugh, S. M.; Tro¨ sch, D. J. M.; Wilson, D. J.; Bashall, A.; Cloke, F.G. N.; Gade, L. H.; Hitchcock, P. B.; McPartlin, M.; Nixon, J. F.; Mountford, P. Organometallics 2000, 19, 3205.
(53) Guiducci, A. E.; Cowley, A. R.; Skinner, M. E. G.; Mountford, P. Dalton Trans. 2001, 1392. 29 (54) Cloke, G. N.; Hitchcock, P. B.; Nixon, J. F.; Wilson, P. J.; Mountford, P. Chem. Commun. 1999, 661.
(55) Bytschkov, I.; Doye, S. Eur. J. Org. Chem. 2003, 935.
(56) Pohlki, F.; Doye, S. Chem. Soc. Rev. 2003, 32, 104.
(57) Odom, A. L. Dalton Trans. 2005, 225.
(58) McGrane, P. L.; Jensen, M.; Livinghouse, T. J. Am. Chem. Soc. 1992, 114, 5459.
(59) McGrane, P. L.; Livinghouse, T. J. Am. Chem. Soc. 1993, 115, 11485.
(60) Fritzsche, j.; Struve, H. Prakt. Chem. 1847, 41, 97.
(61) Werner, A.; Dinklage, K. Chem. Ber. 1901, 34, 2698.
(62) Chatt, J.; Garforth, J. D.; Rowe, G. A. Chem. Ind. 1963, 332.
(63) Chatt, J.; Garforth, J. D.; Rowe, G. A. J. Chem. Soc. A 1966, 1834.
(64) Belmonte, P. A.; Own, Z.-Y. J. Am. Chem. Soc. 1984, 106, 7493.
(65) Toth, L. E. “Transition Metal Cardides and Nitrides” Academic, New York, 1971.
(66) Dehnicke, L.; Strahle, J. Angew, Chem. Int. Ed. Engl. 1992, 31, 955.
(67) Holm, R. H. Chem. Rev. 1987, 87, 1401.
(68) Woo. L. K. Chem. Rev. 1993, 93, 1125.
(69) Woo, L. K.; Goll, J. G. J. Am. Chem. Soc. 1989, 111, 3755.
(70) Woo, L. K.; Goll, J. G.; Czapla, D. J.; Hays, J. A. J. Am. Chem. Soc. 1991, 113, 8478.
(71) Chang, C. J.; Low, D. L.; Gray, H. B. Inorg. Chem. 1997, 36, 270.
(72) Neely, F. L.; Bottomley, L. A. Inorg. Chem. 1997, 36, 5432.
30 (73) Bottomley, L. A.; Neely, F. L. J. Am. Chem. Soc. 1989, 111, 5955.
(74) Bendix, J. J. Am. Chem. Soc. 2003, 125, 13348.
(75) Kemp, J. E. G. In Comprehensive Organic Synthesis; Ley, S. V., Ed.; Pergamon: Oxford, U.K., 1991; Vol. 7, p469.
(76) Goves, J. T.; Takahashi, T. J. Am. Chem. Soc. 1983, 105, 2073.
(77) Bois, J. D.; Tomooka, C. S.; Hong, J.; Carreira, E. M. Acc. Chem. Res. 1997, 30, 364.
(78) Burgess B. K.; Lowe, D. J. Chem. Rev. 1996, 96, 2983.
(79) Sellmann, D.; Sutter, J. Acc. Chem. Res. 1997, 30, 460.
(80) Smil, V., Entriching the Earth. MIT Press: Cambridge, MA, 2001.
(81) Mayer, A.; Hoffmeister, H. Adv. Organomet. Chem. 1991, 32, 227.
(82) Chatt, J.; Dilworth, J.; Raymond, R. L. Chem. Rev. 1978, 78, 589.
(83) Chatt, J.; Pearman, A. J.; Richards, R. L. J. Chem. Soc., Dalton Trans. 1977, 1852.
(84) Yandulov, D. V.; Schrock, R. R. Science 2003, 301, 76.
(85) Laplaza, C. E.; Cummins, C. C. Science 1995, 268, 861.
(86) Shish, K.-Y.; Schrock Richard, R.; Kempe, R. J. Am. Chem. Soc 1994, 116, 8804.
(87) Schrock, R. R.; Listemann, M. L.; Strugeoff, L. G. J. Am. Chem. Soc. 1982, 104, 4291.
(88) Chisholm, M. H.; Delbridge, E. E.; Kidwell, A. R.; Quinlan, K. B. Chem. Commun, 2003 126.
(89) Burroughs, B. A. M.S. Thesis, The Ohio State University, 2005.
(90) Gdula, R. L.; Johnson, M. J. A. J. Am. Chem. Soc. 2006, 128, 9614.
31 (91) Geyer, A. M.; Gdula, R. L.; Wiedner, E. S.; Johnson, M. J. A. J. Am. Chem. Soc. 2007, 129, 3800.
(92) Geyer, A. M.; Wiedner, E. S.; Gary, J. B.; Gdula, R. L.; Kuhlmann, N. C,; Johnson, M. J. A.; Dunietz, B. D.; Kampf, J. W. J. Am. Chem. Soc. 2008, 130, 8984.
(93) Schrock, R. R.; Listemann, M. L.; Sturgeoff, L. G. J. Am. Chem. Soc. 1982, 104, 4291.
32 CHAPTER 2
INSIGHTS INTO LIGAND EFFECTS ON THE RELATIVE STABILITY OF THE NH3 COORDINATION IRIDIUM (I) COMPLEX AND THE HYDRIDO AMIDO IRIDIUM (III) COMPLEX
2.1 Introduction
Activation and cleavage of element-hydrogen bonds, E-H, where E = H, C, N and
O via oxidative addition to a transition metal complex is an important step of many
catalytic cycles. Hence, an understanding of the factors that influence the oxidative
addition and reductive elimination of H-E bonds is necessary to develop efficient
catalysts, and has attracted a lot of attention, especially for activation of dihydrogen and
alkanes.1-7 However, transition metal catalyzed reactions of ammonia by oxidative
addition or reductive elimination of H-N bonds are rare.8-10 The difficulties in activation
of the H-N bond of ammonia might be partially due to its strong Lewis base character,5 together with strong π-donating properties of the amide ligand.
The first example of the oxidative addition of ammonia to a mononuclear transition metal complex was reported by Casalnuovo and coworkers in 1987.8 The
iridium complex containing labile ethylene ligands, Ir(PEt3)2(C2H4)Cl, was reported to
33 insert the N-H bond of ammonia to form a very stable amide bridged dinuclear iridium
complex. The high stability of the amido bridge prohibits further reaction of the dimer.
Therefore, formation of the amido bridge should be avoided for a system to be suitable
for a catalytic cycle. The first terminal amido complex prepared by oxidative addition
of ammonia was not reported until 2005.11 Elegant work by Hartwig and coworkers
reported that an Ir(I) complex containing a PCP tridentate-pincer ligand cleaved the N-H
bond of ammonia readily at room temperature to form a hydrido amido Ir(III) complex.
They found that oxidative addition of ammonia can be achieved by switching from an
aromatic backbone to an aliphatic backbone of PCP ligand and this was attributed to the stronger electron donating ability of PCP ligand with aliphatic backbone than that of the
PCP ligand with aromatic backbone.
To achieve the oxidative addition of ammonia, a hydrido amido complex should
be favored over the isomeric ammonia coordination complex. The work herein, density
functional theory (DFT) calculations were used to study the effects of PCP ancillary
ligands on the relative stabilities of hydrido amido complexes and ammonia coordination
complexes. The geometries and energies of the four compounds 1a, 1b, 2a, and 2b 34 containing PCP ligands with t-butyl groups on P which are the same ligands used in
experiments were calculated. To evaluate the electronic and steric effects of the PCP
ligand, different substituents have been used to replace the tert-butyl group on
phosphorous atoms for each of the four compounds. An alternative method using charge
variation on P atoms to study the ligand effects is also reported.
2.2 Computational Details
All DFT calculations were performed using the Amsterdam Density Functional
(ADF) software package, version 2004.01, developed by Barends et al.12 and vectorized
by Ravenek.13 The numerical integration scheme used was developed by teVelde et
al.,14 and the geometry optimization procedure was based on the method of Versluis and
Ziegler.15 All geometry optimizations were carried out with no symmetry constraints
under the C1 point group by using the local exchange-correlation potential of Vosko et
al.16 and the non-local exchange and correlation corrections of Perdew and Wang
(PW91).17 All atoms were described using a triple-ζ Slater type orbital (STO) basis set
with one polarization function (TZP); the core was frozen at the 4f level for iridium, 1s for the second row atoms and 2p for the third row atoms. All atoms were corrected for scalar relativistic effects by using the Zeroth Order Regular Approximation (ZORA) method.18 All calculations utilized an INTEGRATION value of 7, geometries were converged to a gradient of 10-4 au/Å. The self-consistent field energy was converged to a value of 10-8. Frequencies were calculated by numerical differentiation of energy
35 gradients in slightly displaced geometries using double-sided displacements.19 Molecular
orbitals were visualized using molecular graphics package MOLEKEL.20
2.3 Results and Discussion
The geometries and energies of the four iridium compounds, 1a, 1b, 2a and 2b, which bear the same ligands used in the experiments, were calculated.11, 21 The purpose
was to evaluate the theoretical method chosen. The choice of the level of theory for this
work is mainly based on earlier work of this group.22-25 Where it was found that the
PW91/TZP described many transition metal complexes and actinide complexes fairly
well. Unfortunately, the iridium compounds were not among those calculated in these
studies. Therefore, it was necessary to evaluate the accuracy of this method for iridium
complexes. The selected geometrical parameters of these compounds are given in Table
2.1
36 C5 C2 C4 P1
C1 Ir NH3
P 1 C6 C3 C7 1a 1b 2a 2b Cal. Cal. Exp.21 Cal. Exp.11 Cal. Ir-H(1) 1.511 1.5131.51 Ir-N 1.980 2.209 2.215 1.973 1.999 2.202 Ir-C(1) 2.041 2.000 2.013 2.108 2.128 2.072 Ir-P(1) 2.325 2.269 2.261 2.332 2.298 2.284 Ir-P(2) 2.325 2.272 2.274 2.335 2.299 2.284 H(1)-Ir-N 141.9 142.4 139.4 H(1)-Ir-C(1) 62.5 65.866.80 N-Ir-C(1) 155.6 178.1 175.87 151.8 153.69 176.2 P(1)-Ir-P(2) 157.9 164.7 164.52 165.0 165.95 161.4 C(2)-P(1)-C(4) 106.5 103.7 104..4 107.0 105.37 104.9 C(4)-P(1)-C(5) 116.4 122.6 110.2 117.1 109.65 122.4 C(5)-P(1)-C(2) 103.6 102.4 102.5 102.4 101.91 102.7 C(3-P(2)-C(7) 106.5 102.9 102.7 106.4 105.85 104.9 C(7)-P(2)-C(6) 116.4 123.0 110.5 116.5 109.75 122.4 C(6)-P(2)-C(3) 103.6 102.7 102.6 103.2 101.54 102.7
Table 2.1 Selected bond lengths and bond angles of complexes 1a, 1b, 2a and 2b.
The calculated structures of 1b and 2a are close to experimental crystal structures except that the calculated bond angles C(7)-P(2)-C(6) deviate from the experimental
37 values by an average of 10º. This could be attributed to the crystal packing effects in
the solid state structures. For compound 2a, both the calculated and experimental
structures show that the H1, Ir, C1 and N atoms are in the same plane (the sum of the
angles H(1)-Ir-N, H(1)-Ir-C(1) and N-Ir-C(1) are 360.0 and 360.2 degree) and the
molecule exhibits a distorted trigonal bipyramidal structure. For compounds containing
the aromatic backbone PCP ligand, the ammonia coordinated compound (1b) is
calculated to be 0.60kcal/mol lower in energy than the hydrido amido compound (1a).
While for compounds containing the aliphatic backbone PCP ligand, the hydrido amido compound (2a) was calculated to be 2.95kcal/mol lower in energy than the ammonia coordinated compound (2b). Corrections for zero-point energies were not included for
the above calculations. Although the difference in zero-point energies for the ammonia
coordinated compound to hydrido amido compound could have significant impacts on
the absolute numbers of the relative energies, it would not affect the trend that the aliphatic backbone PCP ligand stabilizes the hydrido amido compound more than the aromatic PCP ligand does. This may be due to the stronger electron-donating ability of the aliphatic backbone than that of the aromatic backbone. As shown in Figure 2.1, in compound 1b there are molecular orbitals showing interaction between the ring
π-orbitals and d-orbitals on the iridium thus reducing the election density on the iridium.
While in coumpound 2b, there is no such π system on the aliphatic backbone ligand
available to interact with the d-orbitals on iridium. The calculated mulliken charges on
38 iridium are -0.0031 and -0.5015 for 1b and 2b respectively, which indicates that part of
the electron density on iridium is delocalized to the π system of the aromatic backbone
PCP ligand. These results are consistent with the experimental results.11, 21 Therefore, the level of theory chosen seems able to describe the system appropriately and was used in our further studies of the systems.
HOMO HOMO-6
Figure 2.1 Molecular orbitals showing interactions between the ring π-orbitals and d-orbitals on the iridium in compound 1b.
To systematically study the ligand affects on the relative stabilities of the
ammonia coordinated complexes versus the isomeric hydrido amido complexes, the
types of PCP ligands (figure 2.2) due to the rigidity of the PCP ligands were chosen, so
39 that they can be electronically modified for a specific property without changing the steric properties significantly.
PR2 PR2
PR2 PR2 Al Ar
Figure 2.2 PCP ligands used for study: Al denotes the type of ligands with an aliphatic backbone and Ar denotes the type of ligands with an aromatic backbone.
Aliphatic Aromatic
Ir-NH3 HIr-NH2 Ir-NH3 HIr-NH2
∆E ∆G298K ∆E ∆G298K ∆E ∆G298K ∆E ∆G298K H 0 0 3.69 1.95 0 0 8.86 7.10 Me 0 0 30.21 28.78 0 0 23.04 20.95 tBu 0 0 -2.95 — 0 0 0.60 —
Table 2.2 Relative energies and relative Gibbs free energies (298K) were given in kcal/mol. Ir-NH3 refers to ammonia coordinated compound while HIr-NH2 refers to hydrido amido compound.
40 The obvious way to modify the PCP ligands is to utilize different substituents R on
phosphorus atoms and three substituents (R=H, Me and tBu) were used for both Al and
Ar PCP ligands. The relative energies and Gibbs free energies (298K) in table 2.2 were defined with respect to ammonia coordinated compound.
Surprisingly, the relative energy is most positive when the substituent on the P atom is a methyl group not an H atom. In general, the methyl group substituted phosphine ligand is considered to be a stronger electron donating ligand than the non-substituted phosphine and thus the methyl substituted phosphorous ligand should stabilize the insertion compound relative to the ammonia complex. However, this is not the case for PCP ligands. It seems that the methyl group acts in an electron withdrawing role. To evaluate the electron-donating ability of the ligands with different substituents, we calculated model compounds with CO coordination to the metal fragments (LnIr), where Ln represents the aliphatic backbone PCP ligands. [Such
calculation has not been done for the aromatic backbone PCP ligand]. The stretching
frequency of the carbonyl is known to be a sensitive tool for determining the electronic
properties of the ligands Ln. Since frequency calculations are very expensive, we
calculated the frequency for complexes with H and methyl substituents only. The
computational results show the CO stretching frequency is lower for H (1961 cm-1) than for methyl (1978 cm-1), thus indicating that the ligand with methyl groups is a weaker electron donor than that with H atoms. Intuitively, this can be attributed to steric effects
41 since the size for different substituents are obviously different. By carefully comparing
the geometries of hydrido amido compounds for different substituents on the Al PCP
ligands, we found that the Ir-P bond length is the shortest when the substituents are
methyl groups (Ir-P bond length: 2.265, 2.255 and 2.332 Å for H, Me and tBu
respectively) but other parameters increase or decrease with the size of substituents.
The same phenomena were observed for ammonia coordinated complexes (Ir-P bond length: 2.245, 2.237 and 2.284 Å for H, Me and tBu respectively). One possible
explanation for this is that the ligand with methyl substituents is a better π acceptor than
the ligands with H or t-butyl substituents.
An alternative method was used to study the ligand effects introduced by different
substituents on the phosphorus atoms26 through varying the nuclear charge on the
phosphorus atoms of PCP ligand. Such variation in nuclear charge on phosphorus
atoms is equivalent to modifying the electronegativity of the phosphorus atoms and thus
modifying the electronic properties of the ligand. One advantage of this method is that
one can choose a small substituent and keep it consistent for all calculations and this
significantly reduces the computational cost. In this study, H atoms were used as the
substituents for both types of PCP ligands. The nuclear charge of phosphorus atom was
varied from 14.6 to 15.4 by 0.2 steps and the electronic energies and Gibbs free energies at 298K of hydride amido complexes and ammonia coordinated complexes were calculated for each nuclear charge of the phosphorus atoms. Again the relative electronic
42 energies and relative free energies were defined with respect to the ammonia coordinated compound. The relative free energies plotted against the nuclear charge of phosphorus atom are shown in Figure 2.3.
As shown in Figure 2.3, the relative free energies decrease with the nuclear charge of the phosphorus atoms for both aliphatic and aromatic backbone PCP ligands.
Decreasing the nuclear charge of an atom is equivalent to decreasing the electronegativity of the atom thus increasing the electron releasing ability of the atom.
Therefore, the PCP ligands with less nuclear charge on the phosphorus atoms are stronger electron donors. The figure shows a straight trend that increasing the electron donating ability favors the hydrido amido complexes over the ammonia coordination complexes. At each nuclear charge, we can also see that the relative free energy is always higher for aromatic backbone PCP ligands than for aliphatic backbone PCP ligands. Although the negative relative free energy can be approached by decreasing the nuclear charge on the phosphorus atoms for both types of PCP ligand, the aromatic backbone PCP ligand requires a smaller phosphorus nuclear charge than the aliphatic backbone PCP ligand does. In other words, it is harder for an aromatic backbone PCP ligand to favor the insertion over coordination. To achieve such a goal, substituents with better electron donating ability are required for aromatic backbone PCP ligand.
This is consistent with the experiment result that the insertion compound is favored by the aliphatic backbone PCP ligand with t-butyl substituents and the coordination
43 compound is favored by the aromatic backbone PCP ligand with t-butyl substituents.
20
15
10
Aliphatic Aromatic (Kcal/mol) 298K
G 5 ∆
0 15.4 15.2 15 14.8 14.6
-5 Nuclear charge
Figure 2.3 The relative Gibbs free energies (∆G298K) vs nuclear charge of P atom. Red corresponds to Aliphatic PCP Ligand and blue corresponds to Aromatic PCP Ligand.
44 2.4 Conclusions
The study of the subsituent effects has shown that the oxidative addition of ammonia by an iridium complex to form a hydrido amido complex can be achieved by increasing the electron donating ability of the PCP ligand since the ligand with a better electron donating ability stabilizes the insertion compound relative to the coordination compound. Of course, instead of modifying the substituents on the phosphorous atom
of the PCP ligands, we can also modify the backbone of the PCP ligand. One typical
example is to use the aliphatic backbone instead of the aromatic backbone. The nuclear
charge variation method can also be applied to the backbone modification of PCP ligand.
45 2.5 References
(1) E. L. Muetterties, Chem. Soc. Rev. 1983, 12, 283.
(2) R. G. Bergman, Science 1984, 223, 902.
(3) R. H. Crabtree, Chem. Rev. 1985, 85, 245.
(4) D. M. Roundhill, Chem. Rev. 1992, 92, 1.
(5) D. G. Musaev, K. Morokma, J. Am. Chem. Soc. 1995, 117, 799.
(6) K. K. Jespersen, M. Czerw, K. Zhu, B. Singh, M. Kanzelberger, N. Darji, P. D. Achord, K. B. Renkema, A. S. Goldman, J. Am. Chem. Soc. 2002, 124, 10797.
(7) A. C. Sykes, P. White, M. Brookhart, Organometallics 2006, 25, 1664.
(8) A. L. Casalnuovo, J. C. Calabese, D. Milstein, Inorg. Chem. 1987, 26, 973.
(9) S. Park, D. M. Roundhill, A. L. Rheingold, Inorg. Chem. 1987, 26, 3972.
(10) G. L. Hillhouse, J. E. Bercaw, J. Am. Chem. Soc. 1984, 106, 5472.
(11) J. Zhao, A. S. Goldman, J. F. Hartwig, Science, 2005, 307, 1080.
(12) (a) E.J. Baerends, D.E. Ellis, P. Ros, Chem. Phys. 1973, 2, 41. (b) E.J. Baerends, P. Ros, Chem. Phys. 1973, 2, 52. (c) G. teVelde, E.J. Baerends, J. Comput. Phys. 1992, 99, 84. (d) C.G. Fonseca, O. Visser, J.G. Snijders, G. teVelde, E.J. Baerends, in Methods and Techniques in Computational Chemistry, METECC-95, ed. E. Clementi and G. Corongiu, STEF, Cagliara, Italy, 1995, pg. 305.
(13) W. Ravenek, in Algorithms and Applications on Vector and Parallel Computers, ed. H.J.J. teRiele, T.J. Dekker and H.A. van deHorst, Elsevier, Amsterdam, 1987.
(14) P.M. Boerrigter, G. teVelde, E.J. Baerends, Int. J. Quantum Chem. 1998, 87.
(15) L. Verslius, T. Ziegler, J. Chem. Phys. 1998, 88, 322.
(16) H. Vosko, L. Wilk, M. Nusair, Can. J. Phys. 1980, 58, 1200.
46 (17) P. Perdew, Phys. Rev. B. 1992, 46, 6671.
(18) E. VanLenthe, A.E. Ehlers, E.J. Baerends, J. Chem. Phys. 1999, 110, 8943.
(19) (a) L. Fan, T. Ziegler, J. Chem. Phys. 1992, 96, 9005. (b) L. Fan, T. Ziegler, J.Am. Chem. Soc. 1992, 114, 10890.
(20) P. Flükiger, H. P. Lüthi, S. Portmann, J. Weber, Swiss Center for Scientific Computing, Manno (Switzerland), 2000.
(21) M. Kanzeleberger, X. Zhang, T. J. Emge, A. S. Goldman, J. Zhao, C. Incarvito, J. F. Hartwig, J. Am. Chem. Soc. 2003, 125, 13644.
(22) M. L. Drummond, Ph.D. Dissertation, The Ohio State University, 2005.
(23) E. J. Palmer, Ph.D. Dissertation, The Ohio State University, 2005.
(24) C. M. Brett, Ph.D. Dissertation, The Ohio State University, 2005.
(25) J. L. Sonnenberg, Ph.D. Dissertation, The Ohio State University, 2005.
(26) B. F. Gherman, C. J. Cramer, Inorg. Chem. 2004, 43, 7281.
47 CHAPTER 3
METATHESIS OF NITROGEN ATOMS WITHIN TRIPLE BONDS INVOLVING CARBON, TUNGSTEN AND MOLYBDENUM
Reproduced with permission from Inorganic Chemistry, 2008, 47, 5377-5385. Copyright 2008 American Chemical Society
3.1 Introduction
The evolution of olefin metathesis involving transition metal alkylidenes is one of
the most fascinating and preparatively useful stories in chemistry.1 Not long after the
initial industrial discovery of olefin metathesis, Pennella, Banks and Bailey2 disclosed a
seemingly even more miraculous tale of triple bond metathesis involving alkynes. In
1975, Katz and McGinnis3 addressed the mechanism of olefin metathesis involving metal
carbene intermediates, and proposed that alkyne metathesis proceeded via a similar mechanism involving the 2+2 cycloaddition of C≡C and M≡C bonds to give a planar metallacyclobutadiene intermediate. This was soon thereafter demonstrated by the elegant work of Schrock and coworkers4 involving the reactions between trialkoxy
tungsten alkylidynes and alkynes. This reaction too has entered into the tool kit of
organic reagents.5 We describe here our findings of the metathesis reaction involving
48 metal-nitrogen and carbon-nitrogen triple bonds where the metals are either tungsten or
molybdenum. A preliminary report on this work appeared in 20036 and subsequently
related work was reported by Johnson in 2005.7,8
3.2 Results and Discussion
3.2.1 Mo≡N + W≡W → Mo≡W + W≡N
t 9 t t 10 The reaction between (Bu O)3Mo≡N and (Bu O)3W≡W(OBu )3 proceeds quite rapidly in hydrocarbon solutions to give the mixed metal MoW triply bonded complex
t t 11 t MoW(OBu )6 with the formation of (Bu O)3W≡N. The compound MoW(OBu )6 can
readily be identified in the mass spectrum by the presence of the molecular ion which shows the distinct isotopic distribution predicted for a MoW containing species. It is also seen in the 1H NMR spectrum where two But singlets are observed as expected for each
of the three alkoxide ligands bound to each metal. However, it has not been possible to
isolate this heteronuclear MM’ bonded compound because this compound reacts further
t t t with (Bu O)3Mo≡N with the ultimate formation of Mo2(OBu )6 and (Bu O)3W≡N. The
t t t compounds Mo2(OBu )6, MoW(OBu )6 and W2(OBu )6 show similar solubilities and
almost certainly co-crystallize. The driving force for this reaction rests with the favorable
redox reaction involving the two metals: Mo(VI) + W(III) → Mo(III) + W(VI) and almost certainly proceeds by way of an activated trinuclear cluster involving a triply bridging nitride. Structural precedent for this exists in the form of the tetranuclear cluster
49 i 12 13 13 Mo4(µ3-N)2(OPr )12 and in related M3(µ3-O)(OR)10 , MoW2(µ3-O)(OR)10 and W3(µ3-
14 P)(OR)9 clusters.
3.2.2 Alkylidyne and Nitride Ligand Transfer Between Molybdenum and Tungsten
Although the triple bonds between the metals Mo and W and carbon and nitrogen
are estimated to be ~120-155 kcal/mol15, 16 they are kinetically labile and readily
transferable between metal centers as shown in the reactions 1, 2, and 3 below, where L =
ButO.
13 13 L3W≡ CMe + L3Mo≡CPh L3W≡CPh + L3Mo≡ CMe (1)
13 13 L3W≡ CMe + L3Mo≡N L3W≡N + L3Mo≡ CMe (2)
15 15 L3W≡ N + L3Mo≡N L3W≡N + L3Mo≡ N (3)
These reactions can be monitored by NMR spectroscopy in solvents such as toluene-d8.
The presence of 183W, I=1/2 which occurs in ~15% natural abundance aids in the
13 15 1 detection of C and N nuclei by the presence of J183W satellites.
These observations led us to interrogate the metathesis reactions involving M≡N and
C≡N described below.
W≡N* + RC≡N W≡N + RC≡N*
t 15 t The compound (Bu O)3W≡ N is readily prepared from the reaction between W2(OBu )6
15 and labeled acetonitrile CH3C≡ N and if this reaction is carried out in a hydrocarbon
solvent the tungsten nitride is formed as a finely divided microcrystalline product.17 The
t compound (Bu O)3W≡N is only sparingly soluble in solvents such as toluene and in the 50 solid-state exists as an infinite polymeric chain involving the connectivity
(→W≡N→W≡N→).11 Because of the poor solubility in hydrocarbons our studies of N atom exchange were carried out in the more polar and coordinating solvent THF. The
t molybdenum analogue (Bu O)3Mo≡N adopts an analogous structure in the solid state but
is somewhat more soluble in hydrocarbon solvents because of the weaker donor strength
of the less polar Mo≡N bond.
15 t 15 The reaction between MeC≡ N and (Bu O)3W≡N in THF-d8 was followed by N
NMR. The signal at δ~248 ppm decreased in intensity as the signal due to
t 15 (Bu O)3W≡ N grew in intensity at δ~732 ppm. A similar reaction was carried out
t employing (Bu O)3Mo≡N in THF-d8 but no reaction was observed at room temperature.
However, heating the solution to 70 °C did bring about a similar reaction with the
t 15 formation of (Bu O)3Mo≡ N.
The tungsten nitride complex was then used as a catalyst for the N atom exchange
as shown in eq. 4. The reactions were again monitored by 15N NMR spectroscopy.
Cat. MeC≡15N + RC≡N MeC≡N + RC≡15N (4)
A broad range of nitriles was chosen to both test the generality of the N atom exchange
t and also to test the tolerance of (Bu O)3W≡N toward various functional groups. For the
groups where R = ortho and para-C6H4F, -C6H4Cl, (CH2)4Cl, Me3C, Ph, PhCH2, Ph2CH,
Ph3C and –CH=CH-CN scrambling of the label was observed. The reaction is quite tolerant to steric factors and carbon-halogen bonds as well as C=C bonds. Rather
51 interestingly the ortho-fluorophenyl nitrile showed 15N-19F coupling with its signal at δ
271.7 appearing as a doublet. See Figure 3.1. At this point it is worth noting that
Johnson has recently demonstrated that alkynes will react with fluorinated alkoxide
molybdenum and tungsten nitrides to yield the respective alkylidynes and nitriles.8
15 15 15 Figure 3.1 N-NMR spectrum of Cl(CH2)4C≡ N (B), p-Cl-(C6H4)C≡ N (C), and o-F- 15 15 (C6H4)C≡ N (D); byproducts of a scrambling reaction with (t-BuO)3W≡N and MeC≡ N (A).
In order to establish that in reaction 4 the metathesis involved solely nitrogen
atom exchange and not a cyano group exchange, we also examined the reaction between 52 Me13C≡N, MeC≡15N and PhC≡N. As shown in Figure 3.2 the exchange catalyzed by
t (Bu O)3W≡N involved exclusively W≡N and C≡N metathesis.
Figure 3.2 15N NMR spectrum of the reaction mixture between Me13C≡N, MeC≡15N and t PhC≡N in the presence of a trace of (Bu O)3W≡N recorded in d8-THF at 298 K, 50.6 MHz. The PhC≡15N signal shows enhancement due to 15N atom exchange and appears as a singlet due to lack of coupling to 1H or 13C whereas the MeC≡N 15N signal shows coupling to 1H, 3J1H–15N = 1.7 Hz and for Me13C≡15N coupling to 13C, 1J13C–15N = 17 Hz. The signal thus appears as a central 1 :3 :3 :1 quartet flanked by 13C satellites. The unsymmetrical nature of the 13C satellites arises from 12C/13C isotopic chemical shift perturbation.
53 The exchange reactions noted above do not occur in pyridine-d5 which is a good
donor to tungsten and presumably blocks coordination of the weaker nitrile donor. Also
t 18 the siloxide bridged dimeric compound [(Bu Me2SiO)3W≡N]2 does not react with
MeC≡15N.
19 The chiral menthoxide complexes, both [(+)-men-O]3W≡N and [(-)-men-
19 15 O]3W≡N were prepared and shown to catalyze exchange of N between MeC≡ N and the bulky enantiomerically pure (S)-2-(6-methoxy, 2-napthyl)-propionitrile (See eq. 5).
This raises the possibility of enantio-selective N atom exchange but we have not investigated this further at this time.
H H ((+)-Men-O)3W(N) CN C15N
MeC15N H3CO H3CO (5)
3.2.3 Estimation of Activation Parameters.
The atom exchange reaction proceeds at convenient rates under ambient conditions to allow its study by a variety of conventional techniques. However, the specifics of the system proved problematic. For example, the limited solubility and the
t high air-sensitivity of (Bu O)3W≡N made following the course of the reaction by react-IR
unreliable. Similarly, mass spectrometry was complicated by relative intensities of RCN+ and RCNH+ ions due to experimental conditions and 15N NMR required too long
acquisition times. We finally resorted to the use of 13C NMR spectroscopy to follow the 54 13 t 15 13 13 reaction between Me C≡N and (Bu O)3W≡ N. The C signal for Me C≡N appears as a
singlet at δ 116.96 ppm and upon 15N atom exchange coupling to 15N, I=1/2 leads to a
doublet at 117.01 and 116.77 ppm. The line –shape analysis program in XWIN-NMR
makes it possible to extrapolate relative concentrations of Me13C≡N and Me13C≡15N with
t 15 time and hence obtain data for kinetics. By keeping the concentration of (Bu O)3W≡ N
constant and varying the concentration of nitrile, it was determined that the reaction is
first order in nitrile. (See experimental.) A variable temperature study (20-50℃)
following the decay of Me13C≡N allowed for the production of the Eyring plot shown in
Figure 3.3. Based on this an estimation of the activation parameters can be made: ∆H≠ =
+13.4(7) kcal/mol and ∆S≠ = -32(2) eu.
55 -12.5 0.00305 0.0031 0.00315 0.0032 0.00325 0.0033 0.00335 0.0034 0.00345
-13
-13.5
-14 ln(kobs/T)
-14.5
-15
-15.5 1/T
2 Figure 3.3 Eyring plot of ln(kobs/T) vs 1/T where y = - 6727x + 7.7142, R = 0.9937. The enthalpy parameters were calculated to be ∆H≠ = + 13.4(7) kcal mol-1 and ∆S≠ = -32(2) 15 15 13 eu for the N isotope exchange reaction between (t-BuO)3W≡ N and Me C≡N.
Although the alkyne metathesis reaction has been well explored in terms of its
synthetic utility and reaction pathway, to our knowledge the kinetics and activation
parameters have only been determined for a related reaction involving the exchange of alkyne units and the metallacyclobutadiene complex, (DIPP)3W(C3R3), where R = Et, and
n 20 Pr and DIPP = 2,6-diisopropylphenoxide, with 3-hexyne-d10 (See eq. 6).
56 (DIPP)3W(C3R3) + R’C≡CR’ → (DIPP)3W(C3RR’2) + RC≡CR (6) n Where R = Et, Pr . R’ = CD2CD3
For R = Et, a variable temperature study led to the determination of ∆H≠ = +26.1(4)
kcal/mol and ∆S≠ = +15.2(15) eu while for P = Prn, ∆H≠ = +25.4(5) kcal/mol and ∆S≠ =
+16.3(16) eu.20 The reaction was also shown to be the 1st order in tungsten and
independent of 3-hexyne-d10 in the concentration range studied. Thus the activation parameters reported by Schrock pertain to a rate limiting elimination of RCCR from the metallacyclobutadiene whereas in our study the parameters most likely reflect an associative 2+2 reaction. Qualitatively, we can see that this is reflected in the positive entropy of activation for reaction 6 and the negative ∆S≠ value for the N atom metathesis reaction.
3.2.4 Theoretical and Computational Considerations
Following the initial theoretical considerations of Bursten21 in 1983 considerable
attention has been given to the relative stabilities and bonding in metallacyclobutadiene
and metallatetrahedrane complexes and their role in the alkyne metathesis reaction.22-24
This work has led up to the most recent 2006 publication25 dealing with the total reaction
pathway for alkyne metathesis by molybdenum and tungsten (RO)3M≡CMe complexes as
determined by density functional theory employing B3LYP and the effective core
potentials of Hay and Walt with a double-ζ valence basis set including one f polarization
function for Mo and W atoms.
57 We have employed density functional theory using exchange and gradient-
corrected correlation functional PW91 to investigate the reaction pathway leading to the nitrogen atom metathesis reactions described above. Two kinds of basis set systems, BS-
I (LanL2DZ basis sets augmented by a f polarization function for metal atoms and the 6-
31G* basis sets for non-metal atoms) and BS-II (SDD basis sets for metal atoms and cc-
pVTZ basis sets for non-metal atoms), were used to study the potential energy surfaces of
the metathesis reactions between (MeO)3M≡N (where M=W, Mo) and MeC≡N. The
reaction pathways found by employing a larger basis set system, BS-II, are similar to
those found by using BS-I. For both basis set systems, the same number of stationary
points with similar structures on the reaction pathway was found for each reaction. The
slightly higher activation free energies obtained by using BS-II than by using BS-I is
mainly due to the lack of f polarization function for metal atoms in BS-II. This is evident
by comparing the activation free energies for reaction between (MeO)3W≡N and MeC≡N
obtained from BS-I, BS-II, BS-III (LanL2DZ for metal atoms and 6-31G* for non-metal
atoms) and BS-IV (SDD for metal atoms and 6-31G* for non-metal atoms). The
activation free energy is defined by the difference of free energies between the high lying
transition structure (TS1A) and the starting materials. The calculated activation free
energies from BS-I to BS-IV are 25.9, 31.7, 29.4 and 29.3kcal/mol respectively. The
almost same values based on BS-III and BS-IV indicate that the different effective core potentials seem to have no effect on the activation free energy for this calculation.
58 Employment of an f function brings down the energy by about 3.5kcal/mol, while
employment of triple basis sets cc-pVTZ for non-metal atoms slightly increases the
activation free energy but does not have a significant effect on the reaction pathway. The
calculated activation free energy by using BS-I is closest to the experimental value.
Based on the above facts, we presented our results calculated by using BS-I.
The calculated free energy profiles for the nitrogen atom exchange reaction
between (MeO)3M≡N and and MeC≡N and structures of transition sates and
intermediates with selected calculated structural parameters (Å) for W and Mo using BS-I
are shown in Figure 3.4 and 3.5 respectively.
59
Figure 3.4 Free energy (at 298K) profiles for nitrogen exchange reaction between
(MeO)3W≡N and MeC≡N and structures of transition sates and intermediates with selected calculated structural parameters (Å).
60
Figure 3.5 Free energy (at 298K) profiles for nitrogen exchange reaction between
(MeO)3Mo≡N and MeC≡N and structures of transition sates and intermediates with selected calculated structural parameters (Å).
61 The overall reaction between (MeO)3W≡N and MeC≡N involves nitrogen
exchange and a conformation change. The nitrogen exchange is endothermic (∆G = 4.6
kcal/mol, which is principally caused by the presence of the different conformations of
(MeO)3W≡N in RA and PA′). In this step, two transition states, Ts1A and Ts2A, are located. The higher lying transition stateTs1A connects minima Int1A and Int2A. The intermediate Int2A is transformed to another intermediate Int3A through transition state
Ts2A. However, we shall not overemphasize the existence of intermediate Int2A and
Ts2A since the barrier for transformation from Int2A to Int3A is only about 0.6kcal/mol and the analogous intermediate and transition state were not found in the reaction
pathway involving the molybdenum analogue. Dissociation of Int1A and Int3A, leading
to formation of separate tungsten nitride and acetonitrile, can occur without barriers. The
Int1A has a free energy of 3.3 kcal/mol, which is essentially caused by the loss of entropy
associated with the interaction between (MeO)3W≡N and MeC≡N. The higher free
energy of Int3A than that of PA′ is also caused by such a loss of entropy. As can be seen
in Figure 3.4, different conformations of (MeO)3W≡N are present in the product of
nitrogen exchange step, PA′, and the reactant, RA. The conformer A′ in PA′ is calculated
to be higher in free energy than conformer A in RA by 4.6kcal/mol, which accounts for
the difference of the free energies between RA and PA′. A′ can be readily transformed into the more stable conformer A by crossing an energy barrier of about 3kcal/mol. The
similar metathesis pathway was calculated for reaction between the (MeO)3Mo≡N and
62 MeC≡N except that neither analog of Int2A nor analog of TS2A was found in this
pathway. The transition state Ts1B connects minima Int1B and Int2B which further
dissociates to form (MeO)3Mo≡N and MeC≡N. Similar conformation transfer from B′ to
B was also observed.
The transition state Ts1A was calculated to be higher in free energy than the
starting materials by 25.9 kcal/mol (about 12 kcal/mol in enthalpy). This calculated free
energy barrier for the nitrogen atom exchange reaction between (MeO)3W≡N and
MeC≡N is in good agreement with the experimental observations. While for reaction
involving (MeO)3Mo≡N and MeC≡N the transition state Ts1B was calculated to be
higher in free energy than the starting materials by 39.2 kcal/mol which is about 13
kcal/mol higher than for the tungsten ananogue. This result is also consistent with the
t experimental observation that nitrogen atom exchange between (Bu O)3Mo≡N and
MeC≡N only occurs at elevated temperatures.
The calculated pathways leading to N atom metathesis and alkyne metathesis bear
the similarity that reactions proceed through 2+2 cycloaddition but there exist differences between them. In both types of metathesis reactions, the ring-closing step is the rate determining step. However, no metal-alkyne adduct can be located along the pathway for alkyne metathesis and this was attributed to the fact that the d0 metal center can not
stabilize an alkyne complex by back donation. Metal-nitrile complexes (i.e. Int1A and
Int1B) were found along the reaction coordinates for the N atom exchange reactions and
63 the formation of metal-nitrile complexes is probably due to the dipole-dipole interactions and weak van der Waals interactions between the metal nitride fragment and nitrile since the distance between the two fragments is fairly large and both fragments are almost unperturbed. DFT may have problem handling with such interactions and higher level of theoretical considerations might be needed to study these weakly associated complexes.
3.3 Concluding Remarks
The facility of nitrogen atom metathesis described herein together with the recent report by Johnson et al7,8 on the metathesis involving molybdenum nitrogen triple bonds
and alkynes to form molybdenum-alkylidynes and organic nitriles shows the kinetic
lability of these strong M≡N bonds. If these reactions can be coupled to the Cummins26-
29 reductive cleavage of N≡N by Mo(NR2)3 compounds then a relative simple and
inexpensive route to 15N labeled organic compounds will be achieved. Interestingly, the
t 30 compound ( BuO)3CrN does not appear to entertain this type of chemistry though in
t reactions with M2(O Bu)6 redox chemistry is observed with the formation of the blue
t 31 t volatile compound Cr(O Bu)4 along with the compounds ( BuO)3MN as identified by their molecular ions in the mass spectrometer.
3.4 Experimental
3.4.1 General Procedures
All operations were carried out under an inert atmosphere of argon with dry and deoxygenated solvents using standard Schlenk-line and dry box procedures. All
64 chemicals were purchased from commercial sources and were used as received unless
duly noted. Aromatic and aliphatic hydrocarbon solvents were dried over either sodium
or potassium and THF and diethylether were distilled from sodium/benzophenone.
CH3CN was dried over CaH2 and distilled prior to use. All distilled solvents were stored
over 4Å molecular sieves. The nitriles employed in the N atom exchange reactions were
stored over 4Å sieves and were subjected to three freeze/thaw degas cycles prior to use.
Deuterated solvents and 13C/15N labeled isotopically enriched compounds were obtained from Cambridge Isotope Laboratories, Inc. and were similarly dried and degassed prior to
use.
3.4.2 Spectroscopic Methods
1H, 19F, 13C{1H}, 15N NMR spectra were recorded on Brucker Avance 400 and
500 MHz spectrometers. IR spectra were recorded on a Perkin-Elmer GX FT-IR
spectrophotometer as KBr pellets. Mass spectra were recorded on a Kratos MS25 RFA
double focusing magnetic sector mass spectrometer as positive ions.
3.4.3 Computational Methods
All calculations were performed using density functional theory as implemented
in the Guassian 03 suite of programs.34 The PW91PW9135 [Perdew and Wang’s 1991
exchange and gradient-corrected correlation functional] density functional were used for all calculations. Two types of basis set systems, BS-I and BS-II were used for potential
energy surface calculations. In BS-I, the LanL2DZ36 basis sets augmented by an f
65 polarization function (ζ(f)=0.823, W; ζ(f)=1.043, Mo ) 37 were used for transition metal
atoms and the 6-31G* basis sets38 were used for all other non-metal atoms in the model
compounds. In BS-II, the SDD basis sets39 were used for transition metal atoms and cc-
pVTZ basis sets40 were used for all other non-metal atoms. Two other basis set systems,
BS-III (LanL2DZ for metal atoms and 6-31G* for non-metal atoms) and BS-IV (SDD for
metal atoms and 6-31G* for non-metal atoms), were also used for activation energy
calculations to assess the influences of different effective core potential and the f
polarization functions. All the structures were fully optimized. Frequency calculations
were also performed to confirm that all the stationary points were minima or transition
states (no imaginary frequency for minimum and one imaginary frequency for transition
state). Intrinsic reaction coordinates (IRC)41 calculations were carried out on transition states to confirm these structures are indeed connecting two minima. The discussed energies are relative Gibbs free energies (∆G298K). The relative enthalpies (∆H298K)
are also provided for reference. All the relative energies were defined with respect to the
starting materials.
3.4.4 Synthesis and Reactions
t 10 19 19 The compounds W2(OR)6, where R = OBu , (+)-menthyl and (-)-menthyl ,
32 t 30 were prepared by alcoholysis reactions involving W2(NMe2). (Bu O)3CrN,
t 9 t 33 (Bu O)3MoN and (Bu O)3MoCPh were prepared according to literature procedures.
66 15 Synthesis of (O-t-Bu)3W N. W2(O-t-Bu)6 (1.00 g, 1.24 mmol) was dissolved
in hexane (250 mL) with rapid stirring. A hexane solution (10 mL) containing MeC15N
( 0.4 g, 9.5 mmol) was added to the dark red solution with rapid stirring. Immediately after addition of the acetonitrile, the color changed to dark amber and a brown precipitate
15 was formed. The brown precipitate [(O-t-Bu)3W N] was collected over an air-
sensitive filter frit, washed with three 10 mL portions of hexane, and dried in vacuo (500
1 15 mg, 96 % yield). H-NMR (500 MHz, d8-THF): = 1.49 (s, 9H, OC(CH3)3). N-NMR
183 15 (500 MHz, d8-THF): = 732 ppm [(s), J( W- N) 54 Hz]. IR (KBr plates, Nujol mull):
934 cm-1 (W15N); the 1020 cm-1 band attributed to (WN) for the unlabelled derivative was absent.
Synthesis of [(+)-Men-O]3WN. [(+)-Men-O]3WC -Et (500 mg, 0.72 mmol)
was dissolved in hexane (150 mL) with rapid stirring. Benzonitrile (1 mL) was added via
a gas tight syringe to the stirring hexane solution. The vessel was placed under vacuum,
sealed and stirred for 24 hours. After stirring, the volume was reduced to ca 2 mL of
hexane. Acetonitrile (5 mL) was added and a brown jelly-like solid was formed. The
solid was titurtated (15 minutes) until a brown powder formed. The brown solid was
filtered, washed with acetonitrile five times, and dried in vacuo (389 mg, 81% yield). 1H-
NMR (500 MHz, C6D6): = 4.77 (m, 1H); 2.91 (d, 1 H); 2.54 (m, 1H); 1.82 (d, 2H);
1.58 (qt, 2H); 1.34 (d, 3H); 1.19 and 1.15 (d of d, 8H) 1.0 (m, 1H). 13C-NMR (500 MHz,
67 C6D6): = 88.41, 51.59, 45.49, 35.12, 32.28, 25.87, 23.23, 23.13, 21.59, 16.45. IR
(KBr plates, Nujol mull): 1023 cm-1 (WN).
Synthesis of [(-)-Men-O]3WN. [(-)-Men-O]3WC -Et (750 mg, 1.09 mmol)
was dissolved in hexane (150 mL) with rapid stirring. Benzonitrile (1 mL) was added via
a gas tight syringe to the stirring hexane solution. The vessel was placed under vacuum,
sealed and stirred for 24 hours. After stirring, the volume was reduced to 2 mL of hexane.
Acetonitrile (5 mL) was added and a brown jelly-like solid formed. The solid was
titurtated (15 minutes) until a brown powder formed. The brown solid was filtered,
washed with acetonitrile five times, and dried in vacuo (512 mg, 72 % yield). 1H-NMR
(500 MHz, C6D6): = 4.77 (m, 1H); 2.91 (d, 1 H); 2.54 (m, 1H); 1.82 (d, 2H); 1.58 (qt,
2H); 1.34 (d, 3H); 1.19 and 1.15 (d of d, 8H) 1.0 (m, 1H). 13C-NMR (500 MHz,
C6D6): = 88.41, 51.59, 45.49, 35.12, 32.28, 25.87, 23.23, 23.13, 21.59, 16.45. IR
(KBr plates, Nujol mull): 1021cm-1 (WN).
t t t Reaction of ( BuO)3Mo≡N with W2(O Bu)6. W2(O Bu)6 (0.25 g) and hexanes
t (10 mL) were added to a Schlenk flask and allowed to stir. Separately ( BuO)3Mo≡N
(0.20 g) and hexanes (10 mL) were added to a second Schlenk flask and allowed to stir.
t t The ( BuO)3Mo≡N solution was added to the W2(O Bu)6 solution via cannula. The
mixture was left to stir at room temperature overnight. A white precipitate formed and
t the solution was filtered. The white solid was identified as (Bu O)3WN by NMR and
68 mass spectrometry. The filtrate was concentrated and yielded a red microcrystalline solid.
t + t + By mass spectrometry the ions Mo2(OBu )6 and MoW(OBu )6 were identified.
t t t Reaction of ( BuO)3Cr≡N with Mo2(O Bu)6. ( BuO)3Cr≡N (0.057 g, 0.2 mmol) was added with hexanes (10 mL) to a Schlenk flask and allowed to stir. Separately,
t Mo2(O Bu)6 (0.126 g, 0.2 mmol) was added with hexanes (10 mL) to a Schlenk flask and allowed to stir. Both flasks were placed in a dry ice/acetone bath and were allowed to stir
t for 1 h until the solution had cooled to -78 ºC. The ( BuO)3Cr≡N solution was slowly (15
t min) added via cannula to the Mo2(O Bu)6 solution. The mixture was kept at -78 ºC and
was allowed to stir for 2 h. The solvent was removed in vacuo. As the flask slowly
warmed a blueish-green liquied formed around the stopper of the flask. The blueish-
t green volatile compound was identified as Cr(O Bu)4 by comparison of the infrared
t 1 spectrum with that of known Cr(O Bu)4. H NMR of reaction mixture (C6D6 solvent,
t C6D5H reference, ppm): δ 1.59 (b.s.), δ 1.57 (s), δ 1.55 (s), δ 1.48 (s, ( BuO)3Mo≡N).
t + The mass spectrum of the dried reaction product showed the ( BuO)3Mo≡N) ion.
t t t Reaction of ( BuO)3Cr≡N with W2(O Bu)6. ( BuO)3Cr≡N (0.063 g, 0.22 mmol)
was added with hexanes (10 mL) to a Schlenk flask and allowed to stir. Separately,
t W2(O Bu)6 (0.177 g, 0.22 mmol) was added with hexanes (10 mL) to a Schlenk flask and
allowed to stir. Both flasks were place in a dry ice/acetone bath and were allowed to stir
t for 1 h until the solutions had cooled to -78 ºC. The ( BuO)3Cr≡N solution was slowly
t (15 min) added via cannula to the W2(O Bu)6 solution. The mixture was kept at -78 ºC
69 and was allowed to stir for 2 h. The solvent was removed in vacuo. As the flask slowly
warmed a blueish-green liquid formed around the stopper of the flask. The blueish-green
t volatile compound was identified as Cr(O Bu)4 by comparison of the infrared spectrum
t 31 1 with that of known Cr(O Bu)4. H NMR of reaction mixture (C7D8 solvent, C7D7H
t reference, ppm): δ 3.42 (s), δ 2.1 (s), δ 1.59 (s, ( BuO)3W≡N), δ 1.48 (s), δ 1.45 (s). The
t mass spectrum of the dried reaction product has the correct peak range for ( BuO)3W≡N).
t 15 t t 15 Reaction of ( BuO)3W≡ N with ( BuO)3Mo≡N. ( BuO)3W≡ N (0.0209 g, 0.05
t mmol) and ( BuO)3Mo≡N (0.0165 g, 0.05 mmol) were added to a NMR tube and allowed
1 to react in d8-THF at room temperature for 1 week. The H NMR spectrum of reaction
mixture shows no change from starting materials. The 15H NMR spectrum of reaction
t 15 mixture (d8-THF solvent, d7-THF reference, ppm): δ 828.8 (s, ( BuO)3W≡ N), δ 731.8
t 15 ( BuO)3W≡ N). Mass spectral analysis of the reaction products verifies the presence of
t 15 ( BuO)3Mo≡ N.
t t t Reaction of ( BuO)3W≡CMe with ( BuO)3Mo≡N. (BuO)3W≡CMe (0.0215 g,
0.05 mmol) was made in an NMR tube according to a previously reported method.
t ( BuO)3Mo≡N (0.0165 g, 0.05 mmol) was added to the tube and allowed to react at room
1 temperature for 1 week. H NMR of reaction mixture (C6D6 solvent, C6D5H reference,
t t ppm): δ 3.57 (s, 3, JHW = 7.2 HZ, ( BuO)3W≡CMe), δ 2.58 (s, 3, ( BuO)3Mo≡CMe), δ
t t 1.48 (s, 27, ( BuO)3Mo≡N), δ 1.46 (s), δ 1.44 (s, 27, ( BuO)3W≡CMe), δ 1.44 (s), δ 1.42
70 13 1 (s). C{ H} NMR (C6D6 solvent, C6D5H reference, ppm): δ 333.1 (s), δ 279.6 (s, 1,
t t ( BuO)3Mo≡CMe), δ 254.1 (s, 1, JCW = 306.5 HZ, ( BuO)3W≡CMe).
t t t Reaction of ( BuO)3W≡CMe with ( BuO)3Mo≡CPh. ( BuO)3W≡CMe (0.0054 g,
0.0125 mmol) was made in an NMR tube according to a previously reported method.
t ( BuO)3Mo≡CPh (0.0051 g, 0.0125 mmol) was added to the tube and allowed to react at
1 room temperature for 1 week. H NMR of reaction mixture (C6D6 solvent, C6D5H
t t reference, ppm): δ 7.49 (d, 2, ( BuO)3Mo≡CPh), δ 7.33 (d, 2, ( BuO)3W≡CPh), δ 7.23 (t,
t t t 2, ( BuO)3W≡CPh), δ 7.09 (t, 2, ( BuO)3Mo≡CPh), δ 6.87 (t, 1, ( BuO)3Mo≡CPh), δ 6.82
t t (t, 1, ( BuO)3W≡CPh), δ 3.57 (s, 3, JHW = 7.2 HZ, ( BuO)3W≡CMe), δ 2.58 (s, 3,
t t ( BuO)3Mo≡CMe), δ 1.49 (s, 27, ( BuO)3Mo≡CPh), δ 1.48 (s), δ 1.44 (s, 27,
t t 13 1 ( BuO)3W≡CMe), δ 1.42 (s, 27, ( BuO)3W≡CPh). C{ H} NMR of reaction mixture
(C6D6 solvent, C6D5H reference, ppm): δ 333.1 (s), δ 307.8 (s), δ 279.8 (s, 1,
t t ( BuO)3Mo≡CPh), δ 254.1 (s, 1, JCW = 306.5 HZ, ( BuO)3W≡CMe).
t i t t i Reaction of ( BuO)3W≡C Pr with ( BuO)3Mo≡N. (BuO)3W≡C Pr (0.0229 g,
t 0.05 mmol) and ( BuO)3Mo≡N (0.0165 g, 0.05 mmol) were added to a NMR tube and
1 allowed to react at room temperature for 1 week. H NMR of reaction mixture (C6D6
t i solvent, C6D5H reference, ppm): δ 4.05 (sept, 1, JHW = 6.85 HZ, ( BuO)3W≡C Pr), δ 3.11
t i t t i (sept, 1, ( BuO)3Mo≡C Pr), δ 1.48 (s, 27, ( BuO)3Mo≡N), δ 1.47 (s, 27, ( BuO)3Mo≡C Pr),
t i t t i δ 1.46 (s, 27, ( BuO)3W≡C Pr), δ 1.45 (s, 27, ( BuO)3W≡N), δ 1.24 (d, 6, ( BuO)3W≡C Pr),
t i δ 1.16 (d, 6, ( BuO)3Mo≡C Pr).
71 Preparation of samples for the determination of kinetics. All samples were
prepared in a NMR tube equipped with a J. Young® adapter. For all runs a stock solution
13 of Me CN in d8-THF was prepared by weighing 48.5 mg in a 5 mL volumetric flask to produce a 0.231 M solution. For the determination of the enthalpy parameters 890 µL of
15 d8-THF was added to 11.3 mg of (O-t-Bu)3W N via a gas tight syringe and transferred to
the NMR tube. Addition of 110 µL of the stock solution with a gas tight syringe followed.
Preparation occurred immediately before NMR spectra were collected. In this instance,
catalyst and nitrile concentration remained constant throughout the temperature range (50
C, 40 C, 35 C, 21 C). In each case the same was heated in the probe and once
the overnight run finished the sample was removed and placed in respective temperature
oil bath for the time.. In the case of the determination of the reaction order in nitrile, the
amount of catalyst remained the same while the amount of stock solution was changed
accordingly to desired ratio ([cat:nitrile] = 1:1, 1:0.5, 1:2).
The nitrile cleavage reaction involving Me13CN was monitored by 13C{1H} NMR spectroscopy. The parameters used were as follows: number of scans (NS = 15), number of data points (TD = 65 536), receiver gain (RG = 2896) and relaxation time (D1 = 75 s).
The deconvolution of 13C NMR spectra was done using XWIN-NMR version 3.5 PL6.
13 The T1 relaxation times for acetonitrile (15.2 s) C signals were measured at 298 K. The
Ernst equation (1) [where t1= T1 relaxation time, pw 90 = 90 pulse width, at =
acquistion time and d1 = delay time between pulses]. NMR probe temperatures were
72 calibrated with a sample of ethylene glycol and van Greet’s equation was used to
determine the optimal pulse widths for the delay time used in NMR experiments.
Calculation of the kinetics and activation parameters. The absolute concentration of catalyst in solution was determined by a proton integration of the O-t-Bu
resonance (s, 1.49 ppm) versus the Me13C N methyl resonance (d, 1.95 J=10.7 Hz). The
cleavage and atom exchange was measured by following the disappearance of a singlet at
115.9 ppm (Me13C N) and the appearance of a doublet at 115.95 and 115.82 ppm(Me13C 15N). The lorentizan deconvulation of 13C spectra was performed using
XWIN-NMR 3.5 PL6. All of the cleavage and atom exchanges reactions were of the type
A + B C + D where the rate law was determined (Equation 2) where = [A] – [A]eq.
By plotting ln[( /( (1-1/K) + [A]e + [B]e + (1/K)([C]e +[D]e))] vs time the slope is
inserted into Equation 2 to solve for kobs. The enthalpy parameters were calculated by
≠ ≠ plotting ln(kobs/T) vs (1/T) where the slope = - H /R and the intercept = ( S /R) + 23.8.
The order of nitrile was determined by doubling the concentration of the nitrile compared
to a constant catalyst concentration.
73 3.5 References
(1) (a). Grubbs, R. H. Advanced Synthesis and Catalysis 2007, 349, 34 (b). Bielawski, C. W.; Grubbs, R. H. Progr. Polymer Sci. 2007, 32, 1 (c). Grubbs, R. H. Prix Nobel 2006, 194 (d). Schrock, R. R; Czekelius, C. Advanced Synthesis and Catalysis 2007, 349, 55 (e). Schrock, R. R. Advanced Synthesis and Catalysis 2007, 349, 41 (f). Schrock, R. R. Prix Nobel 2006, 216.
(2) Pennella, F.; Banks, R. L.; Bailey, G. C. Chem. Commun. 1968, 1548.
(3) Katz, T. J.; McGinnis, J. J. Am. Chem. Soc. 1975, 97, 1592.
(4) Wengrovius, J. H.; Sancho, J. Schrock, R. R. J. Am. Chem. Soc. 1981, 103, 3932.
(5) Schrock, R. R. Chem. Rev. 2002, 102, 145.
(6) Chisholm, M. H.; Delbridge, E. E.; Kidwell, A. R.; Quinlan, K. R. Chem. Commun. 2003, 126.
(7) Gdula, R. L.; Johnson, M. J. A.; Ockwig, N. W. Inorg. Chem. 2005, 44, 9140.
(8) Gdula, R. L.; Johnson, M. J. A. J. Am. Chem. Soc. 2006, 128, 9614.
(9) Chan, D. M.-T.; Chisholm, M. H.; Folting, K.; Huffman, J. C.; Marchant, N. S. Inorg. Chem. 1986, 25, 4170.
(10) (a). Chisholm, M. H.; Extine, M. W. J. Am. Chem. Soc. 1975, 97, 5625 (b). Chisholm, M. H.; Gallucci, J. C.; Hollandsworth, C. B. Polyhedron 2006, 25, 827.
(11) Chisholm, M. H.; Hoffman, D. M.; Huffman, J. C. Inorg. Chem. 1983, 22, 2903.
(12) Chisholm, M. H.; Folting, K.; Huffman, J. C.; Leonelli, J.; Marchant, N. S.; Smith, C. A.; Taylor, L. C. E. J. Am. Chem. Soc. 1985, 107, 3722.
(13) Chisholm, M. H.; Folting, K.; Huffman, J. C.; Kober, E. M. Inorg. Chem. 1985, 24, 241.
(14) Chisholm, M. H.; Folting, K.; Pasterczyk, J. W. Inorg. Chem. 1988, 27, 3057.
74 (15) Chisholm, M. H.; Davidson, E. R.; Quinlan, K. B. J. Am. Chem. Soc. 2002, 124, 15351.
(16) Cherry, J.-P. F.; Johnson, A. R.; Baraldo, L. M.; Tsai, Y.-C.; Cummins, C. C.; Kryatov, S. V.; Rybak-Akimova,E. V.; Capps, K. B.; Hoff, C. D.; Harr, C. M.; Nolan, S. P. J. Am. Chem. Soc. 2001, 123, 7271
(17) Weingrovius, J. H.; Sancho, J.; Schrock, R. R. J. Am. Chem. Soc. 1981, 103, 3932.
(18) Chisholm, M. H.; Folting, K.; Lynn, M. L.; Tiedtke, D. B.; Lemiogno, F.; Eisenstein, O. Chem. A. Eur. J. 1999, 5, 2318.
(19) Parkin, I. P.; Folting, K. J. Chem. Soc. Dalton Trans. 1992, 2343.
(20) Chirchill, M. R.; Ziller, J. W.; Freudenberger, J. H.; Schrock, R. R. Organometallics 1984, 3, 1554.
(21) Bursten, B. E. J. Am. Chem. Soc. 1983, 105, 121.
(22) Woo, J.; Folga, E.; Ziegler, T. Organometallics 1993, 12, 1289.
(23) Lin, Z.; Hall, M. B. Organometallics 1994, 12, 2878.
(24) Sheng, Y.-H.; Wu, Y.-D. J. Am. Chem. Soc. 2001, 123, 6662.
(25) Guochen, J. Z.; Lin, Z. Organometallics 2006, 25, 1812.
(26) Cummins, C. C. Chem. Commun. 1998, 1778.
(27) Laplaza, C. E.; Johnson, M. J. A.; Peters, J.; Odom, A. L.; Kim, E.; Cummins, C. C.; George, G. N.; Pickering, I. J. J. Am. Chem. Soc. 1996, 118, 8623.
(28) Laplaza, C. E.; Johnson, A. R.; Cummins, C. C. J. Am. Chem. Soc. 1996, 118, 709.
(29) Laplaza, C. E.; Cummins, C. C. Science (Washington D. C.) 1995, 268, 861.
(30) (a). Chiu, H.-T.; Chen, Y.-P.; Chuang, S.-H.; Jen, J.-S.; Lee, G.-H.; Peng, S.-M. Chem. Commun. 1996, 139 (b). Fickes, M.G.; Davis, E.M.; Cummins, C. C. J. Am. Chem. Soc. 1995, 117, 6384.
75 (31) Alyea, E. C.; Basi, J. S.; Bradley, D. C. J. Chem. Soc. A. 1971, 772.
(32) Chisholm, M. H.; Cotton, F. A.; Extine, M. W.; Stultz, B. R. J. Am. Chem. Soc. 1976, 98, 4477.
(33) Strutz, H.; Schrock, R. R. Organometallics 1984, 3, 1600.
(34) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Montgomery, J. A.; Vreven, T., Jr.; Kudin, K. N.; Burant J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.; Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li, X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Zakrewski, V. G.; Dapprich, S.; Daniels, A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.; Fresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu, G. Liashenko, A.; Piskorz, P.; Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.; Challocombe, M.; Gill, P. M. W.; Johnson, B.; Chen, W.; Wong, M. W.; Gonzalez, C.; Pople, J. A. Gaussian 03, Revision C.02, Gaussian, Inc., Wallingford CT, 2004.
(35) (a). Burke, K.; Perdew, J. P.; Wang, Y. in Electronic Density Functional Theory: Recent Progress and New Directions, Ed. J. F. Dobson, G. Vignale, and M. P. Das (Plenum, 1998), pp. 81-111 (b). Perdew, J. P. in Electronic Structure of Solids ’91, Ed. P. Ziesche and H. Eschrig (Akademie Verlag, Berlin, 1991), p. 11 (c). Perdew, J. P.; Chevary, J. A.; Vosko, S. H.; Jackson, K. A.; Pederson, M. R.; Sing, D. J.; Fiolhais, C. Phys. Rev. B: Condens. Matter 1992, 46, 6671 (d). Perdew, J. P.; Chevary, J. A.; Vosko, S. H.; Jackson, K. A.; Pederson, M. R. Singh, D. J.; Fiolhais, C. Phys. Rev. B: Condens. Matter 1993, 48, 4978 (e). Perdew, J. P.; Burke, K.; Wang, Y. Phys. Rev. B: Condens. Matter 1996, 54, 1653.
(36) (a) Hay, P. J.; Wadt, W. R. J. Chem. Phys. 1985, 82, 270. (b) Wadt, W.R.; Hay, P. J. J. Chem. Phys. 1985, 82, 284. (c) Hay, P. J.; Wadt, W. R. J. Chem. Phys. 1985, 82, 299.
(37) (a). Huzinaga, S. Gaussian Basis Sets for Molecular Calculations; Elsevier Science Pub. Co.: Amsterdam; 1984 (b). Ehlers, A. W.; Bohme, M.; Dapprich, S.; Gobbi, A.; Hollwarth, A.; Jonas, B.; Kohler, K. F.; STegmann, R.; Veldkamp, A.; Frenking, G. Chem. Phys. Lett. 1993, 208, 111.
76 (38) (a). Ditchfield, R.; Hehre, W. J.; Pople, J. A. J. Chem. Phys. 1971, 54, 724. (b). Hehre, W. J.; Ditchfield, R.; Pople, J. A. J. Chem. Phys. 1972, 56, 2257. (c). Hariharan, P. C.; Pople, J. A. Mol. Phys. 1974, 27, 209. (d). Gordon, M. S. Chem. Phys. Lett. 1980, 76, 163. (e). Hariharan, P. C.; Pople, J. A. Theor. Chim. Acta 1973, 28, 213.
(39) Andrae, D.; Hauessermann, U.; Dolg, M.; Preuss, H. Theor, Chim. Acta 1990, 77, 123.
(40) Dunning, T.H., Jr. J. Chem. Phys. 1989, 90, 1007
(41) (a). Fukui, K. J. Phys. Chem. 1970, 74, 4161 (b). Fukui, K. Acc. Chem. Res. 1981, 14, 363.
77 CHAPTER 4
THEORETICAL AND SPECTROSCOPIC INVESTIGATIONS OF THE BONDING
AND REACTIVITY OF (RO)3M≡N MOLECULES, WHERE M = CR, MO AND W
Reproduced with permission from Inorganic Chemistry, 2009, 48, 828-837. Copyright 2009 American Chemical Society
4.1 Introduction Spurred by the discovery of metal-alkylidyne complexes that are active as catalysts for alkyne metathesis reactions, the interest in compounds containing metal-heteroatom multiple bonds has increased rapidly in the last twenty years.1-6
Transition metal-organic and transition metal-heteroatom multiple bonds are functional groups with diverse reactivities, ranging from stabilization of metals in high oxidation states to serving as the center of reactivity in a molecule.5 Some common reactions
involving the metal-heteroatom bond include atom or group transfer reactions and
metathesis reactions.7-11 The reactivity of metal-heteroatom molecules is greatly
influenced by the metal, the electron configuration of the metal, and the particular set of attendant ligands.
78 In traversing the transition elements from group 4 to group 10, one finds that the
electronegativity increases and that with increasing dn electron count one encounters what
has been described as an “OXO Wall” after which multiple bonding is not favored. Also
early transition metal terminal oxo groups are considered nucleophilic while for the later
elements in their high oxidation states they have been considered electrophilic. To a less
extent the same considerations have been applied to the terminal metal-nitride ligand.
Nucleophilic nitrides of the early transition elements are often subject to hydrolysis
yielding ammonia while the nitrides of high valent group VII~VIII elements have been
shown to react with tertiary phosphine, carbanions, dienes and thiolates.12-15
In this work we examine the electronic structure of a series of tris-alkoxide group
6 transition metal-nitrido molecules. The effect of the metal on the electronic structure is
t observed in ( BuO)3M≡N where M is Cr, Mo, or W, and the effect of substitutions on the
t i alkoxides is observed in the series of molecules (RO)3Mo≡N where R is Bu, Pr, or
16-18 CF3Me2C. The combination of gas phase UV photoelectron spectroscopy and
calculations employing density functional theory provide insight into the nature of the
frontier molecular orbitals in the series of compounds and the electron distribution within
the M≡N bond. A comparison is also made with simple organic nitriles.
79
Figure 4.1 Side and top (down the N-Cr bond) views of the crystal structure16 of t ( BuO)3Cr≡N showing the C3v symmetry.
4.2 Results and Discussion
4.2.1 General Bonding Considerations.
Unlike dinitrogen and organic nitriles, the multiple bonds to nitrogen in
metal-nitrido molecules involve metal d orbitals, which are also involved in interactions
with the attendant ligands. As a first step in considering the metal interactions with the
alkoxides, the oxygen donors simply serve to determine the relative ordering of the d
orbitals. The effect of the σ donor orbitals of the alkoxides on the d orbitals is shown on
the left side of Figure 4.2 for a typical (RO)3M fragment. The ligand σ donor orbitals
form a1 and e symmetry combinations, as illustrated in 1 below for the oxygen p orbitals
directed at the metal. The ligand e symmetry orbitals in 1 mix with the two sets of metal e
symmetry orbitals, the dx2-y2, dxy and dxz, dyz. The resulting upper e orbitals on the left of
Figure 4.2 are the antibonding counterparts of M-L σ bonds. At the trigonal N≡M–O
80 16, 17, 24 angle of ~101-108˚ for these alkoxides these orbitals are primarily dx2-y2, dxy in
character with smaller amounts of dxz, dyz. The lower e orbitals on the left of Figure 4.1
are mostly nonbonding and primarily dxz, dyz in character. The ligand a1 combination in 1
mixes with the metal dz2 orbital to destabilize the predominantly dz2 orbital. The resultant
order of the predominantly metal fragment orbitals is then: dxz, dyz ≤dz2 < dx2-y2, dxy which is the same as the crystal field splitting of d orbitals for the trigonal angles of these alkoxides.
A qualitative representation of the interaction of these L3M fragment orbitals with
the nitrogen p orbitals is shown in the middle of Figure 4.2. The HOMO is designated
with the label 2σ, and the SHOMO is label 1π. The 1π orbital is formed primarily from interaction of the N pπ orbitals with the predominantly metal dxz,dyz orbitals, and further
mixing with the predominantly metal dx2-y2, dxy orbitals is ignored in the diagram. This
order of 2σ above 1π is partly a consequence of the N(2s) contributions to this M≡N σ
orbital, similar to the description of the bonding in HCN and CH3CN. From ADF
calculations, the N(2s) contributions to the highest occupied orbital of σ symmetry of
these molecules is on the order of 30%.19 An additional reason for the destabilization of
the 2σ relative to the 1π is the contribution from the ligand a1 orbital shown on the left of 81 Figure 4.2. For the purposes of the present work, the splitting of the 2σ and 1π orbitals
from these interactions is small, particularly in comparison to effects of the oxygen π
donor orbitals discussed next. As one additional contrast to nitrogen triple bonds in
organic nitriles, the lowest unoccupied molecular orbitals are the predominantly metal
dx2-y2 and dxy orbitals labeled 1δ rather than the C-N π* orbitals of organic nitriles.
3 Figure 4.2 Orbital interaction diagram of a d -L3M fragment, where L is a simple σ donor ligand (left), with the N(p) orbitals (right). The L-M-L angle is ~110-116˚ for these molecules.
Alkoxide π-donor effects. Discussion of the effects of the oxygen π donor orbitals
on the electronic structure could be continued in terms of the interaction of the (RO)3M fragment with a nitrogen atom. However, as will be seen, the effects of the oxygen π donor orbitals are much more significant than a simple perturbation of the character and
82 relative energy of the predominantly metal d orbitals. An alternative approach is to view
the system in terms of (RO)3 and M≡N fragments. This approach separates the alkoxide ligand framework (the constant in the system) from the variable M≡N framework. Hence, it allows ready analysis of the effects of M substitution on the electronic structure of the system. Conversely, for the (RO)3 Mo≡N molecules where the alkoxide is varied, the
constant Mo≡N framework is separated from the alkoxide framework so that the effects
of alkoxide substitution on the electronic structure can be effectively probed.
For simplicity, the oxygen p orbitals that are π with respect to the metal are
separated into two groups: those parallel to the M≡N framework and those perpendicular
are shown in 2. The a1 (׀׀)to the M≡N framework. The parallel combinations a1 and e
combination has (׀׀)combination has reasonable overlap with the M≡N σ orbital, and the e
reasonable overlap with the M≡N π orbitals. The perpendicular ligand combinations a2 and e(┴) shown in 3 will interact much less significantly with the M≡N orbitals. In fact,
by symmetry the a2 combination does not interact with the M≡N orbitals at all. The
a2) follows from the> (׀׀)relative ordering of the six oxygen pπ combinations (a1 combinations, being of the (׀׀)nodal and overlap properties of the orbitals. The e(┴) and e same symmetry, may further mix and split with each other. Most important, it should be 83 noted that the a2 orbital is completely antibonding and is the most destabilized of the combinations. Figure 4.3 Molecular orbital energy diagram showing the interactions between the six highest occupied π-type combinations of the (RO)3 fragment (middle) and M≡N 2σ and 1π orbitals with two different energies relative to the (RO)3 orbitals, left and right, of the M≡N orbitals. A qualitative molecular orbital diagram illustrating the interactions of the (RO)3 π-type combinations with the M≡N orbitals is presented in Figure 4.3. The diagram presents two possibilities with regards to the relative energies of the M≡N fragment orbitals and the ligand orbitals. On the right of the diagram the relative energies and interactions of the M≡N orbitals with the alkoxide orbitals are such that the 2a1 and 3e 84 orbitals become the highest occupied. On the left of the diagram the M≡N orbitals are more stable and the alkoxide a2 orbital becomes the highest occupied. Depending on the particular transition metal, the actual electronic structure of the (RO)3M≡N molecules may correspond to either description. The relative ordering and character of the orbitals is the subject of the present photoelectron and computational studies. Regardless of the orbitals form bonding and antibonding (׀׀)relative energies, the ligand a1 and e combinations with the M≡N σ and π orbitals, respectively. Hence, the definitions of localized M≡N σ and π orbitals are no longer valid because of significant orbital mixing with the strong π donor ligand orbitals. We will label the occupied valence molecular orbitals of the (RO)3M≡N molecules according to the designations given in Figure 4.3. Note that the top cluster, the 2a1, 3e, a2, and 2e, are all either antibonding between the M≡N orbitals and the oxygen donor orbitals or antibonding between the oxygen donor orbitals themselves (the a2). In contrast, the lower set of orbitals, the 1e and 2a1, are bonding both within the M≡N orbitals and between M≡N orbitals and the oxygen donor orbitals. An energy gap between the antibonding and bonding sets is expected. The orbital interaction diagram, Figure 4.3, assumes that the relative energies of the ligand symmetry combinations remain constant as the metal is changed. However, as the metal-oxygen distances decrease (M=W ≈ Mo > Cr), the distances between the oxygen atoms also decrease and the intramolecular interactions between the oxygen atoms increase. The spread of the ligand symmetry orbitals will be greatest for the 85 (RO)3Cr≡N molecule because the bonding or antibonding nature of each particular symmetry orbital becomes more important as the overlap between the oxygen p orbitals increases. With this in mind, the ligand a2 combination will be least stable for the distances between the oxygen atoms in the Cr molecule and more stable for the distances in the Mo and W molecules. Electronegativity Consideration. Some trends in the orbital stabilities and characters may be anticipated from the relative electronegativity of the atoms. For instance, in the cases of HC≡N, and CH3C≡N, the N atom is more electronegative than the C atom, so the highest occupied σ and π orbitals are polarized towards N, but otherwise correspond directly to the 2σg and 1πu orbitals of N2. Simply put, both hydrogen cyanide and acetonitrile are better σ donors than N2. The lower electronegativities of the metal atoms would by themselves suggest similar polarizations in the transition metal-nitrido molecules, but the effects of the attendant ligand on the metal must also be taken into account. The electronegativities of the transition metals decrease as a group is descended: Cr(VI)=3.37, Mo(VI)=2.20, and W(VI)=1.67.20 Therefore, the description of the Cr molecule would be expected to lie to the left of the descriptions of the Mo and W molecules in the interactions depicted in Figure 4.2. Based on these considerations, ionizations containing substantial M≡N σ and π character should decrease in energy as M = Cr > Mo > W. The M≡N polarity as well as the N atom basicity should increase as the group is descended (M = Cr < Mo < W). 86 The orbital framework developed thus far is sufficient for discussion of the photoelectron spectra. The description to this stage has not included the full set of atomic functions or the effects of mixing the oxygen p orbitals with the alkyl σ framework. These interactions, which will be discussed in the computational section following analysis of the photoelectron spectra, have lesser influence on the relative energies, bonding, and polarity of the orbitals that make up the metal-nitride triple bond in these tris-alkoxide complexes. 4.2.2 Photoelectron Spectroscopic Studies Just as in the studies of triple bonds to nitrogen in simpler molecules, photoelectron spectroscopy helps to quantify the nature of the orbital interactions and the trends in energies in metal-nitrides discussed in the previous section. The He I t photoelectron spectra of the ( BuO)3M≡N (M=Cr, Mo, or W) molecules in the 8.5 to 15.0 eV ionization energy range are presented in Figure 4.4. For comparison the spectrum of tBuOH is included. The tBuOH spectrum provides a benchmark for understanding the t contribution of the alkoxide ligands to the ( BuO)3M≡N spectra. The alcohol spectrum consists of three distinct regions in the 10 to 15 eV range. Band A at 10.22 eV derives from the oxygen p orbital (lone pair) that is perpendicular to the C-O-H plane, and band B derives from the oxygen p orbital (long pair) that is in the C-O-H plane, bisecting the C-O-H angle. Both are strongly mixed with the C-C and C-H σ bonds of the t-butyl group, and the in-plane orbital is additionally mixed with the O-H σ bond. The different mixings, 87 particularly with the O-H bond, account for the different energies of the ionizations. The mixing in band B is more bonding in nature than the mixing in band A, as evidenced by the width of the ionization band. Band C can be assigned to the O-C(σ), C-C(σ), as well as the C-H(σ) ionizations. The ionizations of the alcohol are related to those of the alkoxides by removing the hydroxyl proton from the alcohol and placing the resulting alkoxide on the metal. In a stepwise process, removal of the proton produces an alkoxide with three-fold symmetry (C3v), and the oxygen-based ionization that was in band B, which was stabilized by overlap with the H(1s) function, becomes degenerate with band A in an e symmetry pair that is predominantly the oxygen px and py orbitals (assuming the z axis is along the three-fold symmetry axis). The loss of stabilization provided by the proton in comparison to the metal destabilizes all of the alkoxide ionizations relative to the alcohol. Judging by the shift of band C from the alcohol to the alkoxide spectra, the predominantly oxygen px and py ionizations will be about 10 eV before overlap interactions with the M≡N and neighboring ligand orbitals in the molecule. These interactions produce the spread of ionizations from 8.5 to 11.5 eV in the spectra of the tris-alkoxide metal-nitride molecules. The spread of 3 eV indicates substantial interaction. 88 Figure 4.4 He I photoelectron spectra of ROH and (RO)3M≡N (M = Cr, Mo, or W; R = tBu) Metal Substitution. One of the most helpful means of assigning ionizations is to look at a series of molecules with the same ligand set but different transition metals, because ionizations from metal-based orbitals will shift as the metal is changed. Looking at the spectra of the transition metal nitrides, the spectra can once again be separated into 89 three separate regions: A+A*(8.5-10.5eV), B(10.5 to 11.5 eV), and C(11.5 to 15.0 eV). Region C is essentially the same as M is changed, implying the region is dominated by ionizations from ligand-based orbitals. The region contains the C-C(σ), C-H(σ), as well as the C-O(σ) and perhaps M-O(σ) ionizations on the low energy side of the region. Not surprisingly, this region closely matches the corresponding region of tBuOH, with some broadening on the leading edge. Band B is fairly consistent as M is changed, once again implying dominant ligand character. However, subtle changes are apparent in the spectra that signal the presence of ionizations from orbitals containing some metal character. Not surprisingly, the leading bands (A+A*) of the spectra show the largest changes, implying that this region contains the ionizations from the orbitals that contain the most metal character. (RO) M≡N ROH 3 Cr Mo W 8.5 – 10.0 eV (A) 0.09 0.13 0.21 0.18 10.0 – 10.5 eV (A*) 0.065 10.5 – 14.5 eV (B+C) 0.91 0.80 0.77 0.82 Table 4.1 Relative areas of the He I spectra regions (A, A*, B+C) of tBuOH and t ( BuO)3M≡N relative to the total area (A+A*+B+C). It is useful to compare the relative areas of the ionization bands of the Cr, Mo, and W analogs, shown in Table 4.1. This is particularly helpful in showing that the 90 t ionization feature labeled A* in the ( BuO)3Cr≡N spectrum shifts into band A in the spectra of the Mo and W compounds, because the relative area of combined A*+A agrees t well with the relative areas of band A for ( BuO)3M≡N (M = Mo or W). In terns of the molecular orbital model shown in Figure 3.3, band A contains the ionizations with antibonding character that form the first cluster of molecular orbitals (2a1, 3e, a2, and 2e), while band B contains the ionizations with bonding combinations of the M≡N σ and π with the ligand a1 and e (1a1 and 1e). t Figure 4.5 He I photoelectron spectra of ( BuO)3M≡N (M = Cr, Mo, or W) in the 8 to 11 eV range. The major features in the spectra are labeled a, b, and c. The onset30 of ionization is designated by a (*). 91 Focusing on the region containing the first cluster of ionizations, photoelectron spectra were recollected in the 8.5 to 10.5 eV region, Figure 4.5, so that a more detailed analysis of the ionization features could be obtained. The ionization energies of the t prominent features of the ( BuO)3M≡N spectra are given in Table 4.2. The experimental trend for the onset of ionization21 is W < Cr < Mo. For ionizations from similar orbitals containing metal character, the expected trend of ionization energy is W < Mo < Cr. Further evidence of this unexpected trend is obtained from the positions of the first band of each molecule, where the experimental trend in ionization energies follows as Cr < W < Mo. The observation that the Cr analog does not fall in line with the Mo and W systems leads to the proposition that the first spectral feature of the Cr molecule is not due to ionization of an orbital containing Cr≡N σ and/or π character. From the molecular orbital t considerations shown in Figure 4.3, the first ionization of ( BuO)3Cr≡N more than likely corresponds to ionization of the a2 ligand combination. (RO)3M≡N Ionization Energy (eV) M R (*)30 a b c IP(calc.) 9.43 Cr (CH ) C 8.77 9.03 10.20 8.42 3 3 9.57 Mo (CH3)3C 8.89 9.279.58 9.96 8.54 9.39 10.03 W (CH ) C 8.75 9.21 8.46 3 3 9.71 10.16 Mo (CH3)2HC 9.10 9.48 9.85 10.26 8.76 Mo CF3(CH3)2C 9.73 10.36 10.36 10.91 9.45 Table 4.2 Prominent features in the He I photoelectron spectra, and the calculated lowest ionization potentials (IP) by ADF2007.01. See Figure 4.4 for definitions of peaks. 92 As mentioned before, this orbital is completely antibonding between the oxygen atoms and shorter distances between the oxygen atoms will lead to a less stable orbital and lower ionization energy. On the other hand, since the first spectral features of the Mo and W analogs do follow the expected trend for metal-based ionizations, it is likely that the first ionization features of these molecules are due to ionization of orbitals containing some M≡N σ and/or π character, specifically the 2a1 and 3e orbitals in Figure 4.3. The ligand a2 orbital, being completely non-bonding with respect to the metal, should be stabilized as one moves from Cr to Mo to W. Therefore, the ionization from the a2 orbital more than likely occurs under b for the Mo analog and under b or c for the W analog. This then leaves band c to be tentatively assigned to the ionization of the other e combination, labeled 2e in Figure 4.3. The spectrum of the W complex gives evidence of spin-orbit splitting in this ionization as expected for this assignment. He II Spectra. To provide additional evidence of the position of ionizations that contain M≡N σ and π character, the photoelectron spectra were recollected using a He II photon source. Experimental cross-sections for ionizations from molecules roughly follow the trends predicted by the Gelius model, where molecular cross sections are treated as the sum of the atomic cross sections of the atoms that contribute to the molecular orbital character.22 Yeh and Landau have performed calculations to predict the cross-sectional behavior of the atomic elements.22 The calculated valence atomic He II/He I ionization cross-section ratios for the atoms in these molecules are H(0.153); C2p 93 (0.306); N2p (0.4); O2p (0.639); F2p (0.905); Cr3d (0.925); Mo4d (0.323); and W5d (0.322). Although ionizations from Mo and W-based orbitals are predicted to drop in intensity when He II is used as the photon source, experimentally they are known to gain in intensity under He II radiation.23 The calculated cross-sections do not account for the Super-Koster Kronig transitions that occur for second and third row transition metals; these processes increase the intensity of ionizations from orbitals containing metal character.23 Thus in comparing He II spectra with He I spectra, ionizations with metal character are expected to grow with respect to those with oxygen and nitrogen character, which in turn are expected to grow with respect those with carbon and hydrogen character. The He II ionization intensities of the (RO)3M≡N analogs in the 8 to 15 eV region are compared to the He I ionization intensities in Figure 4.6. The ionizations in the 8.5 to 11.5 eV region (bands A, A* and B grow in intensity relative to band C under He II radiation, consistent with substantial oxygen, metal, and nitrogen character in regions A and B substantial C-C σ and C-H σ character in region C. Not surprisingly, the ionization between 8.0 and 10.5 eV (bands A and A*) show the most growth in intensity when He II is used as the photon source, indicating the most metal character in the ionizations of this region. 94 t Figure 4.6 He II photoelectron spectra of ( BuO)3M≡N (M = Cr, Mo, or W). The data points are the He II spectra shown in comparison to the He I spectra (solid lines). The positions of the lowest energy ionizations with M≡N σ and π character are designated by a (*). t Looking more closely at the ( BuO)3Cr≡N spectra, the most growth under He II radiation occurs around 9.5 eV (the high end of band A designated by *); therefore, the ionizations with Cr≡N σ and π character must occur in this region of the spectrum. This does not correspond to the first ionization feature of the Cr spectra. Based on this data, the first ionization does not correspond to ionization of a Cr-containing orbital, consistent with assignment of the first ionization of the Cr compound to the a2 ligand combination. 95 Looking at the 8.5 to 11.5 eV region of the Mo molecule, the most growth occurs in the beginning of band A under He II radiation. A similar conclusion is reached when looking at the spectra of the W molecule, although the intensity changes are not as pronounced. Spin-orbit coupling when orbitals are close in energy and contain W character will increase the mixing between orbitals and diminish the intensity effects. Nonetheless, the assignment of M≡N σ and π character to the first ionization feature of the Mo and W spectra is supported by the He II data analysis. Although the positions of the ionization containing the most metal character are identified in the He II spectral analysis, the overall growth in the region points toward extensive mixing between the M≡N orbitals and the alkoxide framework. Ligand Substitution. Another useful technique for assigning ionizations in photoelectron spectroscopy is to study a series of molecules with varying ancillary ligands attached to the same transition metal center. In this particular instance, we have studied the (RO)3Mo≡N molecules where R = C(CH3)3, CH(CH3)3, or CCF3(CH3)2. This allows one to study the effects of alkoxide substitution on the electronic structure of the transition metal nitrides. The general layout of the spectra from 8.0 to 15.0 eV is unaffected by alkoxide substitution; the spectra still consist of three distinct regions: A, B, and C (see Figure 4.7). The spectral features all shift in accordance with the expected donor capacity of the alkoxide ligand: -OC(CH3)3 > -OCH(CH3)2> -OCCF3(CH3)2. In general, the shifts correlate well with the shift of the lone pair ionizations of the free 96 alcohols, where (CH3)3COH = 10.22eV, (CH3)2HCOH = 10.36 eV, and (CH3)2(CF3)COH = 11.11 eV. Although the overall layout of the spectra does not change as the alkoxide donor identity is changed, subtle changes are present in ionization band A, shown in Figure 4.8. The prominent ionization features in band A are labeled a, b, and c, and, as seen in Table 4.2, these features shift in accordance with the overall donor ability of the t alkoxide ligand. The cross-sectional changes seen in the ( BuO)3Mo≡N He II spectrum are also seen in the He II spectra of the substituted alkoxide molecules (see Figure 4.9). The leading edge of band A grows substantially with respect to the rest of the spectrum for all of the substituted molybdenum nitrides. Hence, changing the alkoxide donor group serves only to shift the overall ionization energies in the spectra and the ionizations from the M≡N σ and π remaining the first ionizations of the molybdenum-nitride molecules. 97 t i Figure 4.7 He I photoelectron spectra of (RO)3Mo≡N (Ra= Bu, Rb= Pr, Rc= CH3)2CF3C). t i Figure 4.8 He I photoelectron spectra of (RO)3Mo≡N, R= Bu(top), R= Pr(middle), R= 3 CF3(CH )2C (bottom) from 8.5 to 12 eV. The major ionization features in the spectra are labeled a, b, and c. The onset of ionization is designated by a (*). 98 t i Figure 4.9 He II photoelectron spectra of (RO)3Mo≡N (Ra= Bu, Rb= Pr, Rc= CH3)2CF3C). The data points are the He II spectra shown in comparison to the He I spectra (solid lines). The positions of the lowest energy ionizations with M≡N σ and π character are designated by a (*). 4.2.3 Density Functional Studies t First, the gas phase geometries of the ( BuO)3M≡N molecules, where M = Cr, Mo and W, were calculated by employing density functional theory as implemented by ADF2007.01. Computational details are given in the experimental section. The calculated bond distances and angles for the C3v symmetric (CO)3M≡N cores are given in Table 4.3 where a comparison is made with their observed solid-state molecular structures.16,17,24 Whereas the solid-state structure for M = Mo and W contain an infinite chain involving 99 (M≡N→M≡N→)∞ interactions with very long dative N→M bond distance > 2.5 Å, the chromium containing molecule is discrete and thus might be expected to more closely represent the calculated gas phase structure. In comparing the experimental and calculated we note first the relative good agreement and then that the maximum deviations are seen for tungsten where the calculated W≡N distance is 1.715 Å and the observed is 1.740 Å. The observed lengthening of the W≡N bond in the solid-state structure may well rest with its strong dative bond. Cr Mo W (tBuO) M≡N 3 Exp. Calc. Exp. Calc. Exp. Calc. M-N (Å) 1.538 1.549 1.661 1.680 1.740 1.715 M-O (Å) 1.739 1.765 1.882 1.904 1.872 1.910 O-C (Å) 1.442 1.452 1.452 1.462 1.475 1.467 C-C(Å) (avg.) 1.499 1.530 1.522 1.529 1.526 1.528 N-M-O (°) 108.2 109.1 103.3 107.4 101.6 107.3 M-O-C (°) 137.4 133.9 135.1 134.2 136.6 134.2 O-C-C (°) (avg.) 106.9 107.7 108.1 107.6 108.6 107.5 O O (Å) 2.86 2.890 3.17 3.146 3.18 3.159 Table 4.3 Comparison of the ADF2007.01 optimized geometrical parameters with the t crystal structure parameters for ( BuO)3M≡N. The calculated orbital energies of the highest six occupied frontier orbitals for each of the metal containing nitrides are given in Table 4.4 The HOMOs, which are underlined in Table 4.4, follow the expected trend and indicate that for M = Cr, the HOMO is indeed an alkoxide oxygen pπ combination of a2 symmetry. We also note the 100 calculations predict a significant energy gap between the HOMO-4 and HOMO-5 orbitals of ~1.0 eV. Thus of the six occupied frontier orbitals there is a set of four (a2, 2a1, 3e, 2e) above two (1e, 1a1). The principal atomic orbital contribution of these frontier orbitals is given in Table 4.5. Label Orbital Makeup Cr Mo W a2 OR (a2) -6.21 -6.44 -6.53 2a1 M≡N σ – OR (a1) -6.59 -6.32 -6.27 3e M≡N π and OR (e) -6.54 -6.60 -6.40 2e M≡N π and OR (e) -7.07 -6.87 -6.83 M≡N π and OR (e) 1e -7.80 -7.86 -7.82 and M(dxy, dx2-y2) 1a1 M≡N σ + OR (a1) -8.00 -7.95 -7.80 Table 4.4 The calculated orbital energies (in eV) of the highest six occupied orbitals for t ( BuO)3M≡N. In looking at the data shown in Table 4.5, one is struck by orbital mixing in what might formally constitute the metal-nitrogen triple bond as represented by the valence bond description M≡N. Only the a2 orbital is in a sense easily described as ligand based lone pair combination. The principal features of the M≡N σ component arise from 2a1 and 1a1 where it can be seen that for M=W 2a1 has a dominant contribution while for M=Cr it is the more stabilized 1a1 orbital. The M≡N π orbitals are seen to be extensively mixed with alkoxide ligand orbitals. The M≡N π bonding orbitals have e symmetry and as can be seen from Table 4.5 the entries for chromium and molybdenum are similar and 101 Cr Mo W a2 76% O p 74% O p 73% O p 17% C p 18% C p 19% C p 2a1 3% N s 3% N s 6% N s 37% N p 42% N p 53% N p 4% Cr dz2 6% Mo dz2 10% W dz2 34% O p 32% O p 18% O p 15% C p 8% C p 4% C p 3e 7% N p 8% N p 43% N p 7% Cr dxz,dyz 5% Mo dxz,dyz 19% W dxz,dyz 2% W p 56% O p 57% O p 20% O p 17% C p 18% C p 6% C p 2e 32% N p 37% N p 9% N p 11% Cr dxz,dyz 12% Mo dxz,dyz 2% W dxz,dyz 3% Cr dxy,dx2-y2 1% Mo dxy,dx2-y2 5% Cr p 4% Mo p 2% W p 25% O p 26% O p 56% O p 12% C p 11% C p 15% C p 1e 12% N p 9% N p 5% N p 12% Cr dxy,dx2-y2 10% Mo dxy,dx2-y2 9% W dxy,dx2-y2 11% Cr dxz,dyz 9% Mo dxz,dyz 6% W dxz,dyz 10% O p 10% O p 15% O p 36% C p 40% C p 44% C p 12% H s 13% H s 14% H s 1a1 3% N s 3% N s 2% N s 23% N p 17% N p 10% N p 26% Cr dz2 20% Mo dz2 15% W dz2 2% Cr p 3% Mp p 2% W p 6% O p 10% O p 19% O p 26% C p 31% C p 34% C p 8% H s 8% H s 12% H s t Table 4.5 Calculated primary orbital characters for ( BuO)3M≡N. quite different from those for tungsten. For M=Cr and Mo, the metal dxz, dyz contribution is largely split between the 1e and 2e orbitals with the latter having the greater N 2p(π) 102 character. For M=W, the 3e orbital carries the major contribution of metal dxz, dyz and N pπ orbitals. Despite the similarity in the frontier orbital atomic compositions for M=Cr and Mo, the relative energies of the orbitals are different. For M=Cr, the order is a2>3e>2a1; for M=Mo, 2a1>a2>3e and for M=W, 2a1>3e>a2 and these are depicted in Figure 4.10. It is also particularly interesting to note the closeness in energy for t ( BuO)3W≡N of the W≡N σ/lone pair with that of the W≡N π bonding MO. t Figure 4.10 Correlation diagram of the Kohn-Sham orbital energies of ( BuO)3M≡N. 103 A pictorial representation of the native of the key frontier orbitals is given in Figure 4.11. From these views the 2a1 orbital for M=W is somewhat more extended toward the vacant site while the corresponding orbital for M=Cr is more delocalized. Although the change is subtle, it likely contributes to the observation that the t ( BuO)3W≡N molecules are associated in the solid-state while the chromium analogue exists as a monomer. Also in Figure 4.11 the principal W≡N π bonding orbital is clearly seen to be the 3e orbital while for M=Cr, the π bonding is less obvious but is comprised of in parts of the 1e and 2e orbitals. 104 t t ( BuO)3W≡N ( BuO)3M≡N (M=Cr,Mo) 2a1 2a1 3e 3e 2e 2e 1e 1e Figure 4.11 Molecular orbital plots of 2a1, 3e, 2e, and 1e valance orbitals (contour value t = ±0.04) for ( BuO)3M≡N where M = Cr, Mo, and W. The orbital plots for molecules containing Cr and Mo are represented in the same set on the right because they look similar. The calculated lowest ionization energies are given in Table 4.2 along with a comparison with the experimental values. In all cases the calculated ionization energies are smaller than the experimental but differ by less than 1 eV. The calculated values 105 correlated well with the experimental results with regard to changing the metal Cr (CH3)2HCO < (CF3)(CH3)2CO. The orbital origin of ionization is calculated to be for M=Cr, a2; for M=Mo, 2a1, and for M=W, 3e. Thus, for tungsten we see an example of where Koopmans’ theorem breaks down as it does indeed for N2. [Although strictly speaking Koopmans’ theorem applies to Hartree-Fock orbital eigenvalues and not directly t to Kohn-Sham orbital energies.] For ( BuO)3W≡N we have the ground state 2 4 2 t + 2 2 3 configuration ···a2 (3e) (2a1) and for [( BuO)3W≡N] , ···a2 (2a1) (3e) . For N2 in its 2 4 + 4 1 ground state the order is ···(2σg) (1π) and for N2 , ···(1π) (2σg) . The calculated ionization energies for the W≡N 2a1 and 3e orbitals for M=W are 8.60 and 8.46 eV, respectively. The calculations also produce a number of other interesting comparisons within this series. The results of Mulliken charges on the metal, nitrogen and oxygen atoms are compared in Table 4.6 along with the molecules’ dipole moments and M≡N bond dissociation energies. It is clearly seen that the effective positive charge on the metal and the negative charge on nitrogen increases down the series of the group 6 elements. This results in a change of sign of the dipole moment but only for M=W is the sign negative because of the influence of the negative charges on the oxygen atoms. The reversed sign of the dipole moment for tungsten is the only example where the simple bond polarity of the metal-nitride bond, Mδ+-Nδ- is seen to determine the overall direction of the dipole. In 106 the case of ((CF3)(CH3)2CO)3Mo≡N the large positive dipole arises from the position of the three CF3 group in an anti-configuration with respect to the W≡N bond. t (BuO)3M≡N (RO)3Mo≡N Cr Mo W (CH3)2HC CF3(CH3)2C M +1.51 +1.95 +2.00 +1.89 +1.97 N -0.53 -0.63 -0.66 -0.60 -0.60 O -0.67 -0.75 -0.77 -0.75 -0.75 µ(debye) 0.569 0.129 -0.417 -0.108 5.488 BDE(kcal/mol) 127.2 163.6 181.3 162.8 162.1 Table 4.6 Mulliken charges, molecular dipole moment (µ) and M≡N bond dissociation energies (BDE) calculated by ADF2007.01 for (RO)3M≡N. The M≡N stretching frequencies were also calculated and these followed the trend observed experimentally: Cr>Mo~W though the calculated and experimental values differed significantly. Experimental (calculated) frequencies in cm-1: M=Cr, 1037(1110); M=Mo, 1020(1045); M=W, 1010(1048). Rather interestingly the experimental to calculated values of δ15N (relative to 15NH3) were in close agreement: M=Mo, 828(822); t M=W, 732(735). The calculated value of ( BuO)3Cr≡N was 935 ppm. 4.3 Conclusions From the experimental and computational studies reported herein, the bonding in the molecules (RO)3M≡N can be understood in terms of extensions of the multiple bonding in N≡N and CH3C≡N. However, unlike N2 and CH3CN, the present study 107 indicates the importance of the alkoxide donors to the electronic structure. Because of extensive mixing with the oxygen orbitals, the 2a1 orbital of the tungsten and molybdenum analogs, which contains substantial N(2pz) character, contains little metal dz2 character and is largely non-bonding. Therefore, this orbital is capable of donating electrons with little cost to the stability of the molecule. This explains the formation of the linear chains of the Mo and W molecules in the solid state with only small structural changes in the molecules. The HOMO of the chromium molecules is the highest-occupied alkoxide a2 orbital because of the strong antibonding character between the oxygen atoms and the smaller metal atom that serves to provide short Cr-O and O-O distances. Therefore, the chromium molecule is easier to oxidize than would be anticipated in comparison to the molybdenum and tungsten molecules. Both the charge distribution of the molecules and the N atom basicity are directly dependent on the identity of M. The polarization of the M≡N bond increases as M=Cr Because the 2a1 orbital of the Cr molecules is not the HOMO and the N atom is less basic in the Cr molecule than in the Mo and W molecules, the Cr molecule has less tendency to form linear chains in the solid state. The substitutions on the alkoxide donor ligands studied here have little affect on the electronic structure of the (RO)3Mo≡N molecules other than shifting all of the ionization energies together, again pointing to the extensive delocalization of the 108 molecular orbitals. The orbital compositions and relative orbital positions are not substantially changed because all of the orbitals are shifted similarly in accordance with the overall donor ability of the alkoxide ligand. The reactivity of the transition metal nitrides, analogous to that of the organic nitriles, is not particularly surprising in light of this understanding of the electronic structure and bonding. The W≡N molecule not only has the greatest charge dipole (Mδ+-Nδ-) but also the greatest N-atom basicity. The M≡N bond strength increases as M=Cr Cr. This underscores the importance of not relating thermodynamics of bonds to their kinetic lability. 4.4 Experimental and Computational Procedures General Methods. All manipulations were carried out using an argon (Ar) or dinitrogen (N2) atmosphere and standard air and moisture sensitive techniques in a Vacuum Atmospheres Glovebox or Schlenk line. Solvents were distilled from CaH2 or Na/Benzophenone ketyl, purged of oxygen with either Ar or N2 and stored over 4 Å sieves. All reagents were purchased from Aldrich unless otherwise stated and used without further purification. tert-Butanol was vacuum distilled from CaSO4. Fluoroalcohols (Lancaster Synthesis) were distilled under Ar and stored over 4 Å sieves. Molybdenum pentachloride (Strem Chemicals) was used as purchased. Lithium, sodium 109 or potassium alkoxide and fluoroalkoxide salts were prepared using a reported method25. Molybdenum tetrachloride-bisacetonitrile (MoCl4(CH3CN)2) was prepared via a reported 26,27 t t method. The compounds ( BuO)3MN, where M = Cr, Mo, W, and M2(O Bu)6 (where M = Mo and W) were prepared via reported syntheses.16,18,28,29 The molybdenum nitrido alkoxides and fluoroalkoxides were prepared via modification of a reported synthesis.17 Spectroscopic methods. Proton (1H) and fluorine (19F) NMR were carried out on a Varian Gemini 2000 spectrometer operating at a 300 MHZ proton and 282 MHZ fluorine NMR Larmor frequencies. Infrared (IR) Spectra were taken as KBr pellets on a Nicolet 510P FT-IR spectrophotometer using OMNI E. S. P. software. Mass spectra were taken on a Kratos MS 80 high resolution mass spectrometer using Negative Ion CI with methane (CH4) as reagent gas. A Kratos MS 25 RFA double focusing magnetic sector mass spectrometer was also used to record the missed metal spectrum. A positive ion EI source with a trap current of 100 µA at a temp of 225 °C at 52 eV. A 3kV analyzer was used with a resolution of 2000 using the 5% peak height definition. The scanning rate was 5 sec/decade with a mass range of 1100 to 275. A third party (MSS) data system was used. Photoelectron spectra. The photoelectron spectra were recorded using an instrument that features a 36 cm radius, 8 cm gap McPherson hemispherical analyzer with custom-designed sample cells, detection system, and control electonics.30 The excitation source was a quartz lamp with the ability, depending on operating conditions, 110 to produce He Iα (21.218 eV) or He IIα (40.814 eV) photons. The ionization energy scale 2 2 was calibrated by using the E1/2 ionization of methyl iodide (9.538 eV). The argon P3/2 ionization was also used as an internal calibration lock for the energy scale during He I and He II data collection runs. Resolution (measured as full-width-at-half-maximum of 2 the argon P3/2 ionization) was 0.016-0.024 eV during He I data collection. Assuming a linear dependence of analyzer intensity to the kinetic energy of the electrons within the energy range of these experiments, all data were intensity corrected with the experimentally-determined analyzer sensitivity function. Because discharge sources are not monochromatic31, each spectrum was corrected for the presence of ionizations from other source lines. The He I spectra were corrected for ionizations from the He Iβ line (1.957 eV) higher in energy with 3% of the intensity of ionizations from the He Iα line. He II spectra were similarly corrected for ionizations from the He IIβ line (7.568 eV higher in energy and 12% of the intensity of the He IIα line.) The samples sublimed cleanly with no detectable evidence of decomposition products in the gas phase or as solid residue. The sublimation ranges (°C at ~10-4 Torr) t t t for each molecule were ( BuO)3Cr≡N, -4 to 20; ( BuO)3Mo≡N, 38 to 57; ( BuO)3W≡N, 58 i to 78; ( PrO)3Mo≡N, 42 to 75; (Me2CF3CO)3Mo≡N, 28 to 61. The temperatures were measured using a “K” type thermocouple attached directly to the ionization cell through a vacuum feedthrough. 111 Data Analysis. In the figures of the photoelectron spectra, the vertical length of each data mark represents the experimental variance of that point.32 The ionization bands are represented analytically with the best fit of asymmetric Gaussian Peaks. Due to the extensive overlap of many ionization features, the individual peaks used to obtain an analytical representation of a band do not necessarily represent separate ion states. The number of peaks used was the minimum necessary to get an analytical representation of the He I spectrum. For fitting the He II spectra, the peak positions and half-widths were fixed to those of the He I fit, and only the relative intensities were allowed to vary. The confidence limits for the relative integrated peak areas are ±5%. The primary source of uncertainty is the determination of the baseline. The baseline is caused by electron scattering and is taken to be linear over the small energy range of these spectra. The fitting procedures used to fit the spectra have been described in more detail elsewhere.32 Computational Details. All DFT calculations were performed using the Amsterdam Density Functional (ADF) software package, version 2007.01,33 developed by Baerends and co-workers.34 The numerical integration scheme used was developed by teVelde et al.,35 and the geometry optimization procedure was based on the method of 36 Versluis and Ziegler. All geometry optimizations were carried out under C3v symmetry by using the local exchange-correlation potential of Vosko et al.37 and the non-local exchange and correlation corrections of Perdew and Wang (PW91).38 All atoms were 112 described using a triple-ζ Slater type orbital (STO) basis set with one polarization function (TZP); the core was frozen at the 2p, 3d and 4f level for chromium, molybdenum and tungsten, and 1s for the second row atoms. All atoms were corrected for scalar relativistic effects by using the Zeroth Order Regular Approximation (ZORA) method.39 All calculations utilized an INTEGRATION value of 6, geometries were converged to a gradient of 10-3 au/Å. The self-consistent field energy was converged to a value of 10-6. Frequencies were calculated by numerical differentiation of energy gradients in slightly displaced geometries using double-sided displacements.40 Molecular orbitals were visualized with the molecular graphics package MOLEKEL, a free utility from the Swiss Center for Scientific Computing41. The plots were created with an isosurface value of ±0.04. 113 4.5 References. (1) Caulton, K. G,; Chisholm, M. H.; Doherty, S.; Folting, K. Organometallics 1995, 14, 2585. (2) Blau, R. J.; Chisholm, M. H.; Eichorn, B. W.; Huffman, J. C.; Kramer, K. S.; Lobkowsky, E. B.; Streib, W. E. Organometallics 1995, 14, 1855. (3) Baxter, D. V.; Chisholm, M. H.; Distasi, V. F.; Haubrick, S. T. Chemistry of Materials 1995, 7, 84. (4) Chisholm, M. H.; Foltingstreib, K.; Tiedtke, D. B.; Lemoigno, F.; Eisenstein, O. Angew Chem Int Edit 1995, 34, 110. (5) Mayer, J. M.; Nugent, W. A. Metal-Ligand Multiple Bonds: the Chemistry of Transition Metal Complexes Containing Oxo, Nitrido, Imido, Alkylidene, or Alkylidyne Ligands; John Wiley & Sons: New York, 1988. (6) Wang, X.; Andrews, L.; Lindh, R.; Veryazov, V.; Roos, B. O. J. Phys. Chem. A 2008, 112, 8030. (7) (a) Burroughs, B. A.; Bursten, B. E.; Chen, S.; Chisholm, M. H.; Kidwell, A. R. Inorg. Chem. 2008, 47, 5377. (b) Chisholm, M. H.; Delbridge, E. E.; Kidwell, A. R.; Quinlan, K. R. Chem. Commun. 2003, 126. (8) (a) Geyer, A. M.; Wiedner, E. S.; Gary, J. B.; Gdula, R. L.; Kuhlmann, N. C.; Johnson, M. J. A.; Dunietz, B. D.; Kampf, J. W. J. Am. Chem. Soc. 2008, 130, 8984. (b) Gdula, R. L.; Johnson, M. J. A. J. Am. Chem. Soc. 2006, 128, 9614. (c) Gdula, R. L.; Johnson, M. J. A.; Ockwig, N. W. Inorg. Chem. 2005, 44, 9140. (9) Cherry, J.-P. F.; Johnson, A. R.; Baraldo, L. M.; Tsai, Y.-C.; Cummins, C. C.; Kryatov, S. V.; Rybak-Akimova,E. V.; Capps, K. B.; Hoff, C. D.; Harr, C. M.; Nolan, S. P. J. Am. Chem. Soc. 2001, 123, 7271 (10) Bendix, J. J. Am. Chem. Soc. 2003, 125, 13348. (11) Woo, K. L.; Goll, G. J.; Czapla, D. J.; Hays, A. J. J. Am. Chem. Soc. 1991, 113, 8478. 114 (12) (a) Wong, T.-W.; Lau, T.-C.; Wong, W.-T. Inorg. Chem. 1999, 38, 6181. (b) Chiu, S.-M.; Wong, T.-W.; Man, W.-T.; Wong, W.-T.; Peng, S.-M.; Lau, T.-C. J. Am. Chem. Soc. 2001, 123, 12720. (c) Chan, P.-M.; Yu, W.-Y.; Che, C.-M.; Cheung, K.-K. J. Chem. Soc. Dalton Trans. 1998, 3183. (13) Crevier, T.J.; Bennett, B.K.; Soper, J.D.; Bowman, J.A.; Dehestani, A.; Hrovat, D.A.; Lovell, S.; Kaminsky, W.; Mayer, J.M. J. Am. Chem. Soc. 2001, 123, 1059. (14) Maestri, A.G.; Cherry, K.S.; Toboni, J.J.; Brown, S.N. J. Am. Chem. Soc. 2001, 123, 7459. (15) Huynh, M.V.; White, P.S.; Meyer, T.J. J. Am. Chem. Soc. 2001, 123, 9170. (16) Chui, H. T.; Chen, Y. P.; Chuang, S. H.; Jen, J. S.; Lee, G. H.; Peng, S. M. Chem. Commun. 1996, 139. (17) Chan, D. M. T.; Chisholm, M. H.; Folting, K.; Huffman, J. C.; Marchant, N. S. Inorg. Chem. 1986, 25, 4170. (18) Schrock, R. R.; Listemann, M. L.; Sturgeoff, L. G. J. Am. Chem. Soc. 1982, 104, 4291. (19) All % characters are from ADF2007.01 geometry optimizations. (20) Sanderson, R. T. Simple Inorganic Substances; Krieger: Malabar, FL, 1989. (21) Onset of ionization (*) = ionization energy at which the amplitude is 10% of the maximum amplitude of the lowest energy Gaussian peaks used to fit each spectrum. (22) Yeh, J.J.; Lindau, I. Atomic Data and Nuclear Data Tables 1985, 32, 1. (23) Green, J. C. Acc. Chem. Res. 1994, 27, 131. (24) Chisholm, M. H.; Hoffman, D. M.; Huffman, J. C. Inorg. Chem. 1983, 22, 2903. (25) Samuels, J. A.; Lobkovsky, E. B.; Folting, K.; Huffman, J. C.; Zwanziger, J. W.; Caulton, K. G. J. Am. Chem. Soc. 1993, 115, 5093. (26) Dilworth, J. R.; Richards, R. L. Inorg. Synth. 1980. 20. 119. 115 (27) Allen, E. A.; Brisdon, B. J.; Fowles, G. W. A. J. Chem. Soc. 1964, 4531. (28) Chisholm, M. H.; Cotton, F. A.; Murillo, C. A.; Reichert, W. W. Inorg. Chem. 1977, 16, 1801. (29) Akiyama, M.; Chisholm, M. H.; Cotton, F. A.; Extine, M. W.; Haitko, D. A.; Little, D.; Fanwick, P. E. Inorg. Chem. 1979, 18, 2266. (30) Lichtenberger, D. L.; Kellogg, G. E.; Kristofzski, J. G.; Page, D.; Turner, S.; Klinger, G.; Lorenzen, J. Rev. Sci. Instrum. 1986, 57, 2366. (31) Turner, D. W.; Baker, C.; Baker, A. D.; Brundle, C. R. Molecular Photoelectron Spectroscopy; Wiley-Interscience: New York, 1970. (32) Lichtenberger, D. L.; Copenhaver, A. S. J. Electron. Spectrosc. Relate. Phenom. 1990, 50, 335. (33) ADF2007.01; SCM, Theoretical Chemistry, Vrije Universiteit: Amsterdam, The Netherlands; http://www.scm.com. (34) (a) Baerends, E. J.; Ellis, D. E.; Ros, P. Chem. Phys. 1973, 2, 41. (b) te Velde, G.; Baerends, E. J. J. Comput. Phys. 1992, 99, 84. (c) Fonseca Guerra, C.; Snijders, J. G.; te Velde, G.; Baerends, E. J. Theor. Chim. Acc. 1998, 99, 391. (d) Bickelhaupt, F. M.; Baerends, E. J. ReV. Comput. Chem. 2000, 15, 1. (e) te Velde, G.; Bickelhaupt, F. M.; Fonseca Guerra, C.; van Gisbergen, S. J. A.; Baerends, E. J.; Snijders, J. G.; Ziegler, T. J. Comput. Chem. 2001, 22, 931. (35) Boerrigter, P.M.; teVelde, G.; Baerends, E.J. Int. J. Quantum Chem. 1998, 87. (36) Verslius, L.; Ziegler, T. J. Chem. Phys. 1998, 88, 322. (37) Vosko, H.; Wilk, L.; Nusair, M. Can. J. Phys. 1980, 58, 1200. (38) Perdew, P. Phys. Rev. B. 1992, 46, 6671. (39) VanLenthe, E.; Ehlers, A.E.; Baerends, E.J. J. Chem. Phys. 1999, 110, 8943. (40) (a) Fan, L.; Ziegler, T. J. Chem. Phys. 1992, 96, 9005. (b) Fan, L.; Ziegler, T. J.Am. Chem. Soc. 1992, 114, 10890. 116 (41) (a) MOLEKEL4.3: P. Flükiger, H. P. Lüthi, S. Portmann, J.Weber, Swiss Center for Scientific Computing, Manno, Switzerland,2000–2002; (b) S. Portmann, H. P. Lüthi, Chimia 2000, 54,766. 117 CHAPTER 5 THEORETICAL STUDY OF METATHESIS REACTIONS INVOLVING METAL-METAL TRIPLE BOND AND CARBON-NITROGEN TRIPLE BOND 5.1 Introduction The metathesis of triple bonds is one of the most impressive synthetic methodologies in organometallic chemistry.1-4 Of particular interest are the dimetal hexaalkoxide complexes M2(OR)6 (M =Mo, W) which react with small organic molecules containing C≡E (E = C, N, O) moiety leading to cleavage of the C≡E bond or to a reduction of its bond order.5 The most remarkable reactions of this type are the mutual scission of M-M and C-E (E = C, N) triple bonds, the ‘chop-chop’ reactions (Equation 1 and 2), which were first noted by Schrock in 1982.6 t t W2(O Bu)6 + RC≡CR 2( BuO)3W≡CR (1) t t t W2(O Bu)6 + RC≡N (BuO)3W≡CR + ( BuO)3W≡N (2) A wide variety of alkynes have been found to undergo the metathesis reactions with the ditungsten hexaalkoxides to give tungsten alkylidyne complexes which are active towards alkyne metathesis.5-8 Both Experimental and theoretical studies on reaction (1) show that this reaction may begin with the coordination of the alkyne to the ditungsten alkoxide 118 2 leading to the formation of an alkyne adduct [(RO)6W2(µ,η -C2R´2)] which has a 8-11 tetrahedrane-like core W2C2. Similarly the reaction of ditungsten alkoxide with nitriles gives quantitatively tungsten alkylidynes and nitrides as shown in Equation 2.6 This reaction has become a useful method to synthesize tungsten and molybdenum nitrides. Interestingly, when t M2(O Bu)6 (M = W, Mo) reacts with dimethylcyanamide (Me2NCN), metathesis was observed for tungsten while 1:1 adduct formation occured for molybdenum.12-14 The observation of the nitrile adduct of dimolybdenum alkoxide sheds some light on the t elucidation of the reaction pathways of the metathesis between W2(O Bu)6 and RCN. However, the detailed reaction pathway remains unclear. In this chapter we report computational studies employing density functional theory (DFT) aimed at elucidating the mechanism of this reaction. 5.2 Computational Details All calculations were performed using density functional theory as implemented in the Guassian 03 suite of programs.15 The PW91PW9116-20 [Perdew and Wang’s 1991 exchange and gradient-corrected correlation functional] density functional were used for all calculations. The LanL2DZ21-23 was used for transition metal atoms and the 6-31G* basis sets24-28 were used for all other non-metal atoms in the model compounds. All the structures were fully optimized without symmetry constrained. Frequency calculations were also performed to confirm that all the stationary points were minima or transition 119 states (no imaginary frequency for minimum and one imaginary frequency for transition state). Intrinsic reaction coordinates (IRC)29-30 calculations were carried out on transition states to confirm these structures are indeed connecting two minima. The discussed energies are relative Gibbs free energies (∆G298K). All the relative energies were defined with respect to the starting materials. 5.3 Results and Discussion Although crystallography is rarely a reliable method for the elucidation of 31 t 13 reaction pathways, we believed that the structure of [( BuCH2O)6Mo2(µ-NCNMe2)] provided some insight into the mechanism of reaction (2). In this adduct the Me2NCN is bound to both metal centers with C-N bond of the cyano group oriented in the same plane as Mo-Mo bond and thus gives a planar core Mo2CN as shown in I. An analogue [(RO)6W2(µ-CNR2)] has been therefore assumed as a possible intermediate in the metathesis reaction (2). This adduct will be referred as a ditungstenazacyclobutadiene complex later. Another possible intermediate has been postulated as the nitrile adduct with a pseudo tetrahedral W2CN core (II). Such adducts which will be referred as ditungstenazatetrahedrane complexes later have been observed for several ditungsten 32-33 systems but not directly for the M2(OR)6 species. 120 R C N MM I II We study the geometry and energies of the two possible intermediates first and then the possibility for the conversion from the intermediates to alkylidyne and nitride. We also perform an examination of the formation of the two possible intermediate from the starting materials. Finally, we analyze the whole reaction pathway for the metathesis reaction between ditungsten hexaalkoxides and nitriles. In these studies we employ methoxide rather than tert-butoxide ligands to reduce the computational time. 121 5.3.1 The ditungstenazatetrahedrane complex The optimized structure of the ditungstenazatetrahedrane complex, as shown in Figure 5.1, contains two bridged methoxide ligands. The acetonitrile is bonded to both metal centers with C-N bond perpendicular to the W-W bond resulting in a tetrahedral-like W2NC core where the C-N bond distance is calculated to be 1.434 Å and W-W bond distance 2.572 Å. It is also interesting to note that nitrogen is bounded to the metal centers equally and so is the carbon. The distances from nitrogen to metal centers are calculated to be 2.073 Å which is very close to the distances from carbon to the metal centers (2.061 Å). In this respect, the ditungstenazatetrahedrane complex closely t 2 8 resembles the adduct [( BuCH2O)6W2(py)(µ,η -C2Et2)]. The tetrahedral geometry of the W2NC core of the ditungstenazatetrahedrane complex is similar to that of the W2C2 core 2 of [(NpO)6W2(py)(µ,η -C2Et2)]. In contrast, the bond distances of the W2NC core and the 2 C-C≡N angle in [(MeO)6W2(µ,η -MeCN)] are quite different from those in a similar 2 ditungsten nitrile adduct W2Cl4(µ,η -MeCN)(µ-dppm)2] which also contains a tetrahedral 32 W2NC core. These parameters in the latter are as follows: C-N=1.303 Å, W-W=2.499 Å, W-N=2.103/2.101 Å, W-C=2.114/2.096 Å, C-C-N=116.4º. 122 Figure 5.1 Structures of the optimized ditungstenazatetrahedrane complex from different view angles. For better view, the hydrogen atoms are omitted. The calculated free energy of the ditungstenazatetrahedrane complex is about 10.0 kcal/mol higher than that of the separated (MeO)6W2 and MeCN. To determine if this adduct is indeed an intermediate in the metathesis-like reaction, we examined the possibility of obtaining the tungsten alkylidyne and tungsten nitride from this adduct. The calculated reaction pathway for the conversion from the ditungstenazatetrahedrane complex to alkoxide bridged alkylidyne and nitride is given in Figure 5.2. The free energies and selected bond lengths of the transition states and intermediates along the reaction pathway are given in Table 5.1 and their structures are shown in V1 to V19. 123 Figure 5.2 Free energy (kcal/mol)) profiles for the ditungstunazatetrahedrane (MeO)6W2(µ-NCMe)→ (MeO)3WCMe + (MeO)3WN The overall reaction pathway calculated for the conversion from ditungstenaza- tetrahedrane complex (V1) to metathesis products involves a series of transition states and minima. The highest lying transition state V2 is calculated to be 18.7 kcal/mol higher in free energy than the starting reagents, (MeO)6W2 and MeCN. In the structure of V2, the C-N axis is rotated approximately 45º to the W-W axis. The imaginary frequency for V2 corresponds to the twisting of C-N axis away and back to its perpendicular position relative to W-W axis. In the forward direction, V2 connects to a minimum V3 and in the backward direction, V2 connects to V1. The second highest lying transition state V10 is 124 only about 1 kcal/mol lower in energy than v2. The imaginary frequency of V10 shows a C-N stretch indicating a cleavage of C-N bond involved. The transition state V10 connects, in the forward direction, to a minimum (V11) in which there is no longer either a C-N bond or a W-W bond and the distances for C to N and W to W are 2.953 Å and 2.949 Å, respectively. However, the tungsten alkylidyne is not completely formed in V11 since the C-W distance is somewhat longer than an alkylidyne C-W distance and the C-C-W angle is 160º. The minimum V11 is about 9 kcal/mol lower in energy than V1. Through a few low lying transition states (V12, V14, V16, V18) which are all below the V1 in energy, V11 is transformed into an tungsten alkylidyne and tungsten nitride adduct (V19) in which the metal centers are bridged by two methoxide ligands and the nitride and alkylidyne group are anti to each other. This adduct is calculated to be about 3 kcal/mol lower in free energy than the separated tungsten alkylidyne and tungsten nitride. V1 V2 V3 125 V4 V5 V6 V7 V8 V9 V10 V11 V12 V13 V14 V15 V16 V17 V18 126 V19 In the backward direction, the transition state V10 connects the minimum V9 whose structure is similar to that of V3 except for the orientation of some methoxide groups. Three transition states (V4, V6, V8) are located between V3 and V9. These transition states and the minima to which they connect are close in energy within a range of 4 kcal/mol. Two observations may explain the small change in energy: the imaginary frequency for each of the three transition states shows only methoxide ligand rotation which has a small barrier; the bond distances of the W2CN core barely change. Although the reaction pathway for the conversion from ditungstenazatetrahedral to tungsten alkylidyne and nitride is complicated, only two high lying transition states V2 and V10 are kinetically significant, as others occur at much lower energy. The former corresponds to the twisting of C-N bond and the later the cleavage of the C-N bond and W-W bond. 127 ∆G298K W-W C-N W1-C W2-C W1-N W2-N V1 10.0 2.572 1.435 2.061 2.061 2.073 2.073 V2 18.6 2.539 1.445 1.990 2.176 2.449 1.913 V3 11.0 2.601 1.418 1.997 2.293 2.895 1.843 V4 11.5 2.612 1.416 2.002 2.291 2.929 1.837 V5 10.9 2.618 1.411 2.010 2.291 2.947 1.834 V6 12.2 2.641 1.422 2.005 2.317 2.957 1.815 V7 10.0 2.633 1.413 2.012 2.323 2.949 1.822 V8 11.0 2.649 1.418 2.004 2.362 2.946 1.816 V9 8.3 2.628 1.417 2.000 2.346 2.925 1.822 V10 17.6 2.658 1.802 1.919 2.254 3.288 1.750 V11 0.9 2.949 2.953 1.808 2.481 4.020 1.696 V12 1.7 2.940 2.937 1.809 2.476 4.016 1.697 V13 0.3 2.931 2.950 1.802 2.561 3.966 1.700 V14 3.8 2.980 3.130 1.795 2.664 4.011 1.699 V15 1.1 3.050 3.217 1.782 2.905 3.965 1.701 V16 1.8 3.345 4.241 1.769 3.600 4.424 1.702 V17 -1.7 3.564 5.444 1.766 4.298 4.873 1.702 V18 1.4 3.645 6.339 1.767 4.906 5.017 1.701 V19 -7.2 3.635 6.697 1.779 5.156 5.044 1.698 Table 5.1 Free energies (kcal/mol) and selected bond distance (Å) for intermediates and transition states on the pathway from ditungstenazatetrahedrane to tungsten alkylidyne and nitride. 128 5.3.2 The ditungstenazacyclobutadiene complex The calculated ditungstenazacyclobutadiene is given in Figure 5.3. The acetonitrile bridges the two tungsten atoms and the C-N bond lies in the same plane as the W-W bond. The nitrogen is bound to both metal centers while the carbon is only bound to one metal center. There are five terminal methoxide ligands with two of them binding to the tungsten atom that is bound to both nitrogen and carbon and the rest binding to the other tungsten atom. The sixth methoxide ligand is a bridging ligand which binds to the tungsten atom with three terminal alkoxide ligands more strongly (W-O = 2.000 Å) than to the one with two terminal alkoxide ligands (W-O = 2.324Å). In this structure, the C-N distance has lengthened by 0.196 Å from 1.171 Å (the C-N distance in free MeCN) to 1.367 Å. The increase of the C-N distance is similar to that of the molybdenum analogues seen in the solid-state structures.13-14 Figure 5.3 Structures of the optimized ditungstenazacyclobutadiene complex from different view angles. For better view, the hydrogen atoms are omitted 129 The ditungstenazacyclobutadiene is calculated to be 2.9 kcal/mol higher in free energy than the starting materials, which is about 7 kcal/mol lower than the ditungsten- azatetrahedrane. We further examine the possibility for the conversion from the ditungstenazacyclobutadiene to tungsten alkylidyne and nitride. The calculated reaction coordinate is given in Figure 5.4. The free energies and selected bond lengths of the transition states and intermediates along the reaction pathway are given in Table 5.2 and their structures are shown in P1 to P9. 18.7 P6 9.0 P2 2.7 P4 P1 2.9 P3 -1.8 1.6 P8 P5 P9 -2.0 -2.0 P7 -6.7 Figure 5.4 Free energy (kcal/mol)) profiles for the ditungstunazacyclobutadiene (MeO)6W2(µ-NCMe)→ (MeO)3WCMe + (MeO)3WN 130 P1 P2 P3 P4 P5 P6 P7 P8 P9 The overall reaction pathway for ditungstenazacycloazabutadiene is less complicated. The highest lying transition state P6 is 18.7 kcal/mol higher in energy than the starting reagents. In this structure, both the C-N bond and the W-W are significantly lengthened. Indeed, the C-N distance of 2.016 Å indicates that the C-N bond is cleaved. The imaginary frequency for P6 moves MeC and N groups apart and together leading to the cleavage and the formation of the C-N bond and the W-W bond. 131 The minimum P7 which is connected to the transition state P6 in the forward direction is calculated to be 6.7 kcal/mol lower in free energy than the starting reagents. In this structure, both of the C-N and W-W bond are cleaved with distances of 3.039 and 3.265 Å respectively. The tungsten alkylidyne and tungsten nitride are almost formed since the calculated distances of the W-C and W-N bond (1.768 and 1.741 Å respectively) are only slightly longer than those in the free alkylidyne and nitride. Also a near linear C-C-W bond angle is observed with a value of 179º. Although the minimum P7 is about 2.7 kcal/mol lower in free energy than the separated tungsten alkylidyne and nitride, such a dimer has not been observed in experiments. This might be due to the formation of the nitride polymer and alkylidyne dimer is more energetically favorable.14 The transition state P6 connects, in the backward direction, to a minimum (P5) which is calculated to be 2 kcal/mol lower in free energy than the starting reagents. In P5, the C-N axis remains almost in the same plane as the W-W axis with the nitrogen and their bond distances are 1.364 and 2.653 Å respectively. In going form P1 to P5, the main change in the structure is the orientation of the methoxide ligands, especially for the position of the bridged methoxide ligands. In P1, the bridged methoxide group is in the same plane as the W2CN core while in P5, the bridged methoxide ligand rotates out of the plane by 52º. The transformation of the ditungstenazacyclotadiene into the metathesis products, tungsten alkylidyne and nitride begins with the rearrangement of the methoxide ligand. 132 This rearrangement slightly perturbs the W2CN core and thus leads to a molecular geometry which facilitates the following step, the cleavage of the C-N and W-W bonds. The rate-determining step is the cleavage step with a barrier of 18.6 kcal/mol. ∆G298K W-W C-N W1-C W2-C W1-N W2-N P1 2.9 2.554 1.367 1.948 3.312 1.970 2.081 P2 9.0 2.662 1.365 1.922 3.267 1.998 2.020 P3 1.6 2.602 1.331 1.951 3.236 2.032 2.041 P4 2.7 2.626 1.345 1.939 3.205 2.043 1.996 P5 -2.0 2.653 1.364 1.929 3.108 2.158 1.921 P6 18.7 2.782 2.016 1.800 3.472 2.293 1.788 P7 -6.7 3.265 3.039 1.768 4.094 2.134 1.741 P8 1.8 3.671 3.002 1.775 4.388 2.206 1.710 P9 -2.0 2.999 3.903 1.772 4.573 2.206 1.707 Table 5.2 Free energies (kcal/mol) and selected bond distance (Å) for intermediates and transition states on the pathway from ditungstenazacyclobutadiene to tungsten alkylidyne and nitride. 5.3.3 The formation of ditungstenazatetrahedrane and ditungstenazacyclo- butadiene The calculated reaction pathways for the reactions from the ditungstenazatetra- hedrane and ditungstenazacyclobutadiene to tungsten alkylidyne and nitride show both of 133 them can be readily cleaved to give quantitatively tungsten alkylidyne and nitride, but to confirme if they are indeed the intermediates for the reaction between W2(MeO)6 and MeCN, we consider the possibility for the formation of these two postulated intermediates from the starting reagents, W2(MeO)6 and MeCN , in this section. The calculated reaction pathways for the formation of the ditungstenazacyclo- butadiene and ditungstenazatetrahedrane from the starting reagents are given in Figure 5.5 and the structures of the transition states and intermediates are shown in F1 to F5, C6 to C11 and T6 to T19. Figure 5.5 Free energy (kcal/mol)) profiles for the starting materials to the postulated intermediates: ditungstunazacyclobutadiene and ditungstunazatetrahedrane. {(MeO)6W2 + MeCN → (MeO)6W2(µ-NCMe)} The red solid line is the pathway leading to the ditungstunazacyclobutadiene; The blue dash line is the pathway leading to the ditungstunazatetrahedrane. 134 As shown in Figure 5.5, there is a common part in the reaction pathways for the formation of the ditungstenazacyclobutadiene and ditungstenazatetrahedrane. This is the beginning part of both reaction pathways (from R to F5). First the MeCN coordinates to one of the tungsten atoms in the W2(OMe)6 to give an adduct (F1). In F1, the MeCN binds to tungsten atom through its lone pair donor on nitrogen and lies perpendicular to the W-W axis. Moving forward from F1, the MeCN tilts towards the other tungsten center to form a minimum (F3) containing a cyclobutadiene-like core W2CN. This transformation involves a transition state (F2) whose energy is calculated to be 16.6 kcal/mol higher than the starting reagents. Another transition state (F4), about 5 kcal/mol higher than F5, is required to connect the minimum F3 and F5. The difference between F3 and F5 is that one of the methoxide ligand bridges the tungsten atoms in F5, but no bridging methoxide ligand is observed in F3. From the minimum F5, two distinct pathways evolve for accounting for the formation of the ditungstenazacyclobutadiene and ditungstenazatetrahedrane. When F5 crosses the transition state C6, the reaction leads to the formation of ditungstenaza- cyclobutadiene. On the other hand, the reaction will result in the formation of ditungstenazatetrahedrane if F5 crosses the transition state T6. The pathway leading to the formation of the ditungstenazacyclobutadiene is straightforward and facile from the minimum F5. In going from F5 to C11, three transition states with low barriers are found and their imaginary frequencies show that 135 these transformations only involve the rotation of the methoxide ligands. In contrast, the pathway leading to the formation of the ditungstenazatetrahedrane is much more complicated and energetically unfavorable. The highest lying transition state (T10) on the pathway between F5 and T19 is calculated to be 24.2 kcal/mol higher in free energy than the starting reagents. This transition state corresponds to the transformation from a planar W2CN to a structure where the C-N rotates to 30º relative to the W-W axis. Another transition state T18 which is significantly higher in energy than the rest is 18.6 kcal/mol higher in free energy than the starting regents. T18 is a transition state transforming the W2CN where the C-N rotates to 30º relative to the W-W axis to a tetrahedral-like W2CN. F1 F2 F3 F4 F5 T6 136 T7 T8 T9 T10 T11 T12 T13 T14 T15 T16 T17 T18 137 T19 C6 C7 C8 C9 C10 C11 5.3.4 The overall reaction pathway for metathesis reaction (2) We now consider the overall reaction pathway for the metathesis reaction between W2(OMe)6 and MeCN. It has been found that the formation of the possible intermediate, ditungstenazacyclobutadiene, is more energetically favored over the formation of the ditungstenazatetrahedrane. The ditungstenazacyclobutadiene is 7 kcal/mol more stable than the ditungstenazatetrahedrane. The formation of the latter needs to overcome a 138 barrier of 24.2 kcal/mol which is approximately 8 kcal/mol higher than that required for the former. In addition, the conversions from these two postulated intermediates to metathesis products have similar barriers. The metathesis reaction between W2(OMe)6 and MeCN is therefore more likely to proceed through the formation and cleavage the ditungsten of a ditungstenazacyclobutadiene intermediate. Figure 5.6 Free energy (kcal/mol)) profiles for the metathesis reaction between (MeO)6W2 and MeCN. (The solid line corresponds to the pathway for (MeO)6W2 + MeCN →(MeO)3WCMe + (MeO)3WN; the red dash line corresponds to the pathway for the formation of ditungstunazacyclobutadiene.) 139 The overall reaction pathway for the metathesis reaction is given in Figure 5.6. The reaction begins with the coordination of acetonitrile to W2(OMe)6 to give an adduct with a planar cyclobutadiene-like W2CN core. Before the scission of the C-N and W-W bond in this adduct, a series of rearrangements of the position of the methoxide group are necessary. The rate-determining step is the cleavage step. It is also interesting to note that the ditungstenazacyclobutadiene structurally similar to the molybdenum analogue characterized in experiment is not among the stationary points found on the overall pathway. Such a structure can be, however, readily obtained from the minimum (C7) on the pathway. The minima C7 is identical to the minimum P5 located on the pathway for the conversion from the ditungstenazacyclobutadiene to metathesis products. In the backward direction from P5, the ditungstenazacyclobutadiene is formed. 5.4 Conclusion DFT has been applied to study the metathesis reaction between W2(OMe)6 and MeCN. The reaction begins with the coordination of acetonitrile to W2(OMe)6 to give an adduct with a planar cyclobutadiene-like W2CN core and is then followed by the cleavage of the C-N and W-W bond in this adduct to give tungsten alkylidyne and tungsten nitride. The rate-determining step is the cleavage step. The ditungstenazacyclobutadiene t intermediate, which is structurally related to ( BuO)6Mo2(NCNMe2), can also be readily obtained from the starting reagents. This structure is calculated to be thermodynamically unfavorable relative to the metathesis products and thus no such analogue for tungsten is 140 observed experimentally. For reaction between Mo2(OMe)6 and MeCN, the formation of molybdenum alkylidyne and nitride is calculated to be slightly thermodynamically unfavorable by about 2 kcal/mol higher in free energy relative to the starting reagents. The acetonitrile adduct (MeO)6Mo2(NCMe) that is structurally related to t ( BuO)6Mo2(NCNMe2), namely a dimolybdenumcyclobutadiene is calculated to be 10 kcal/mol above the starting materials. However, when dimethylcyanamide is substituted for acetonitrile, the adduct (MeO)6Mo2(NCNMe2) is calculated to be about 4 kcal/mol lower in free energy than the starting reagents. This is consistent with the observation that t 34 R2NCN reversibly binds to Mo2(O Bu)6 in toluene-d8 solutions (R = Me, Et). 141 5.5 References (1) Schrock, R. R. Chem. Rev. 2002, 102, 145. (2) Bunz, U. H. F. Acc. Chem. Res. 2001, 34, 998. (3) Chisholm, M. H.; Delbridge, E. E.; Kidwell, A. R.; Quinlan, K. R. Chem. Comm. 2003, 126. (4) Geyer, A. M.; Wiedner, E. S.; Gary, J. B.; Gdula, R. L.; Kuhlmann, N. C,; Johnson, M. J. A.; Dunietz, B. D.; Kampf, J. W. J. Am. Chem. Soc. 2008, 130, 8984. (5) Chisholm, M. H.; J. Chem. Soc., Dalton Trans. 1996, 1781. (6) Schrock, R. R.; Listemann, M. L.; Strugeoff, L. G. J. Am. Chem. Soc. 1982, 104, 4291. (7) Listermann, M. L.; Schrock, R. R. Organometallics 1985, 4, 74. (8) Chisholm, M. H.; Folting, K.; Hoffman, D. M.; Huffman, J. C. J. Am. Chem. Soc. 1984, 106, 6794. (9) Chisholm, M. H.; Conroy, B. K.; Folting, K.; Hoffman, D. M.; Huffman, J. C. Organometallics 1986, 5, 2457. (10) Eglin, J. L.; Hines, E. M.; Valente, E. J.; Zubkowski, J. D. Inorg. Chem. Acta 1995, 229, 113. (11) Chisholm, M. H.; Davidson, E. R.; Quinlan, K. B. J. Am. Chem. Soc. 2002, 124, 15351. (12) Chisholm, M. H.; Kelly, R. L. Inorg. Chem. 1979, 18, 2321. (13) Chisholm, M. H.; Huffman, J. C.; Marchant, N. S. J. Am. Chem. Soc. 1983, 105, 6162. (14) Chisholm, M. H.; Huffman, J. C.; Marchant, N. S. Organometallics. 1987, 6, 1073. (15) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; 142 Cheeseman, J. R.; Montgomery, J. A.; Vreven, T., Jr.; Kudin, K. N.; Burant J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.; Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li, X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Zakrewski, V. G.; Dapprich, S.; Daniels, A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.; Fresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu, G. Liashenko, A.; Piskorz, P.; Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.; Challocombe, M.; Gill, P. M. W.; Johnson, B.; Chen, W.; Wong, M. W.; Gonzalez, C.; Pople, J. A. Gaussian 03, Revision C.02, Gaussian, Inc., Wallingford CT, 2004. (16) Burke, K.; Perdew, J. P.; Wang, Y. in Electronic Density Functional Theory: Recent Progress and New Directions, Ed. J. F. Dobson, G. Vignale, and M. P. Das (Plenum, 1998), pp. 81-111. (17) Perdew, J. P. in Electronic Structure of Solids ’91, Ed. P. Ziesche and H. Eschrig (Akademie Verlag, Berlin, 1991), p. 11. (18) Perdew, J. P.; Chevary, J. A.; Vosko, S. H.; Jackson, K. A.; Pederson, M. R.; Sing, D. J.; Fiolhais, C. Phys. Rev. B: Condens. Matter 1992, 46, 6671. (19) Perdew, J. P.; Chevary, J. A.; Vosko, S. H.; Jackson, K. A.; Pederson, M. R. Singh, D. J.; Fiolhais, C. Phys. Rev. B: Condens. Matter 1993, 48, 4978. (20) Perdew, J. P.; Burke, K.; Wang, Y. Phys. Rev. B: Condens. Matter 1996, 54, 1653. (21) Hay, P. J.; Wadt, W. R. J. Chem. Phys. 1985, 82, 270. (22) Wadt, W.R.; Hay, P. J. J. Chem. Phys. 1985, 82, 284. (23) Hay, P. J.; Wadt, W. R. J. Chem. Phys. 1985, 82, 299. (24) Ditchfield, R.; Hehre, W. J.; Pople, J. A. J. Chem. Phys. 1971, 54, 724. (25) Hehre, W. J.; Ditchfield, R.; Pople, J. A. J. Chem. Phys. 1972, 56, 2257. (26) Hariharan, P. C.; Pople, J. A. Mol. Phys. 1974, 27, 209. 143 (27) Gordon, M. S. Chem. Phys. Lett. 1980, 76, 163. (28) Hariharan, P. C.; Pople, J. A. Theor. Chim. Acta 1973, 28, 213. (29) Fukui, K. J. Phys. Chem. 1970, 74, 4161. (30) Fukui, K. Acc. Chem. Res. 1981, 14, 363. (31) Wilson, S. R.; Huffman, J. C. J. Org. Chem. 1980, 45, 560. (32) Eglin, J. L.; Hines, E. M.; Valente, E. J.; Zubkowshi, J. D. Inorg. Chem. Acta 1995, 229, 113. (33) Cotton, F. A.; Kuhn, F. E. J. Am. Chem. Soc. 1996, 118, 5826. (34) Budzichowski, T. A.; Chisholm, M. H.; Folting, K. Chem. Eur. J. 1996, 2, 110. 144 APPENDIX A CALCULATED CARTESIAN COORDINATES FOR SELECTED MOLECULES IN CHAPTER 2 Supporting Ligands Used in Chapter 1: PR2 PR2 Al (R = H, Me, tBu) PR2 PR2 Ar (R = H, Me, tBu) 145 (Al)Ir(H)NH2 R=H C -0.117560 0.084189 -2.529540 H 0.470033 0.023450 -3.453586 H -0.843012 0.904806 -2.634021 C 0.729790 0.276277 -1.266667 H 1.542504 -0.468259 -1.255181 H 1.207954 1.271395 -1.294271 C -0.121657 0.126977 0.000000 H -0.855831 0.953702 0.000000 C 0.729790 0.276277 1.266667 H 1.207954 1.271395 1.294271 H 1.542504 -0.468259 1.255181 C -0.117560 0.084189 2.529540 H 0.470033 0.023450 3.453586 H -0.843012 0.904806 2.634021 P -1.103490 -1.459645 -2.239944 P -1.103490 -1.459645 2.239944 Ir -1.411153 -1.590226 0.000000 N -3.346069 -2.086093 0.000000 H -3.907992 -2.253916 0.828905 H -3.907992 -2.253916 -0.828905 H 0.072954 -2.180831 0.000000 H -0.325295 -2.469642 2.877711 H -2.118666 -1.387983 3.246387 H -2.118666 -1.387983 -3.246387 H -0.325295 -2.469642 -2.877711 (Al)Ir(H)NH2 R=Me C -0.068292 -0.001282 -2.499843 H 0.472136 -0.155358 -3.442876 H -0.652892 0.926342 -2.585046 C 0.827250 0.052284 -1.263773 H 1.522725 -0.798882 -1.254369 H 1.449834 0.962070 -1.281016 C -0.018005 0.035642 0.000000 H -0.633199 0.945001 0.000000 C 0.827250 0.052284 1.263773 H 1.449834 0.962070 1.281016 146 H 1.522725 -0.798882 1.254369 C -0.068292 -0.001282 2.499843 H 0.472136 -0.155358 3.442876 H -0.652892 0.926342 2.585046 P -1.243120 -1.386990 -2.234757 P -1.243120 -1.386990 2.234757 Ir -1.539192 -1.446927 0.000000 N -3.528130 -1.490574 0.000000 H -4.111059 -1.484074 0.826333 H -4.111059 -1.484074 -0.826333 H -0.191205 -2.256111 0.000000 C -0.330424 -2.800912 2.922478 H -0.204079 -2.623304 4.001880 H -0.866153 -3.739551 2.746147 H 0.650789 -2.863357 2.438217 C -2.577562 -1.0848523.418344 H -2.097893 -0.927195 4.400512 H -3.145093 -0.193764 3.126366 H -3.262359 -1.940647 3.467787 C -2.577562 -1.084852 -3.418344 H -2.097893 -0.927195 -4.400512 H -3.262359 -1.940647 -3.467787 H -3.145093 -0.193764 -3.126366 C -0.330424 -2.800912 -2.922478 H -0.866153 -3.739551 -2.746147 H -0.204079 -2.623304 -4.001880 H 0.650789 -2.863357 -2.438217 t (Al)Ir(H)NH2 R=Bu C -0.003073 -0.000409 -2.545102 H 0.978196 -0.250057 -2.963719 H -0.534289 0.581210 -3.310751 C 0.129017 0.740766 -1.223209 H 0.907437 1.518835 -1.304080 H -0.810476 1.278936 -1.027050 C 0.414833 -0.145203 0.000000 C 0.129017 0.740766 1.223209 H -0.810476 1.278936 1.027050 H 0.907437 1.518835 1.304080 147 C -0.003073 -0.000409 2.545102 H 0.978196 -0.250057 2.963719 H -0.534289 0.581210 3.310751 P -0.883263 -1.591644 -2.277036 P -0.883263 -1.591644 2.277036 Ir -0.586683 -1.999620 0.000000 H 1.462983 -0.453643 0.000000 N -0.591300 -3.972666 0.000000 H -0.719914 -4.538676 -0.821864 H -0.719914 -4.538676 0.821864 H -1.506207 -0.798110 0.000000 C -2.762808 -1.267425 -2.629872 C -3.564410 -2.395600 -1.958266 C -3.112706 0.063066 -1.942226 C -3.209294 -1.127331 -4.101312 H -3.394754 -3.366697 -2.438293 H -3.313455 -2.495235 -0.899331 H -4.638849 -2.169820 -2.032372 H -2.639503 0.920468 -2.435592 H -4.202549 0.209144 -2.003929 H -2.844371 0.077669 -0.882315 H -4.288712 -0.890424 -4.081429 H -2.708527 -0.296131 -4.630249 H -3.100059 -2.051369 -4.694517 C 0.022467 -2.757079 -3.449675 C 1.372053 -3.006665 -2.748195 C -0.777657 -4.054573 -3.577809 C 0.300186 -2.194802 -4.854472 H 1.962714 -2.083081 -2.701762 H 1.255200 -3.373816 -1.723866 H 1.955372 -3.735210 -3.324646 H -1.733119 -3.868861 -4.085000 H -0.211283 -4.782557 -4.176966 H -0.998743 -4.519341 -2.608455 H 0.871067 -2.951378 -5.417911 H -0.624336 -1.980444 -5.419988 H 0.914580 -1.278276 -4.831403 C -2.762808 -1.267425 2.629872 C -3.112706 0.063066 1.942226 C -3.564410 -2.395600 1.958266 148 C -3.209294 -1.127331 4.101312 H -2.639503 0.920468 2.435592 H -2.844371 0.077669 0.882315 H -4.202549 0.209144 2.003929 H -3.394754 -3.366697 2.438293 H -4.638849 -2.169820 2.032372 H -3.313455 -2.495235 0.899331 H -4.288712 -0.890424 4.081429 H -3.100059 -2.051369 4.694517 H -2.708527 -0.296131 4.630249 C 0.022467 -2.7570793.449675 C -0.777657 -4.054573 3.577809 C 1.372053 -3.006665 2.748195 C 0.300186 -2.194802 4.854472 H -1.733119 -3.868861 4.085000 H -0.998743 -4.519341 2.608455 H -0.211283 -4.782557 4.176966 H 1.962714 -2.083081 2.701762 H 1.955372 -3.735210 3.324646 H 1.255200 -3.373816 1.723866 H 0.871067 -2.951378 5.417911 H 0.914580 -1.278276 4.831403 H -0.624336 -1.980444 5.419988 (Al)IrNH3 R=H C 0.021140 -0.014334 0.014429 H 1.120634 -0.032530 0.053406 H -0.314030 1.029547 -0.009508 C -0.573981 -0.844719 1.151868 H -0.186669 -0.488226 2.122608 H -1.666607 -0.698175 1.173969 C -0.250779 -2.336487 0.960858 C -0.839859 -3.141843 2.132882 H -1.933588 -3.005418 2.168089 H -0.442872 -2.768008 3.093114 C -0.524228 -4.629052 1.978642 H 0.556796 -4.810577 2.076176 H -1.056668 -5.281742 2.681392 P -0.492942 -0.940589 -1.501876 149 P -0.987333 -4.979315 0.222765 Ir -0.567999 -3.121277 -0.967512 H -0.081349 -3.443078 -3.681959 H -0.256287 -4.938793 -3.041015 H -1.583863 -4.027536 -3.366574 N -0.626430 -3.987863 -3.012675 H 0.851082 -2.420123 1.064847 H -1.742347 -0.313772 -1.809610 H 0.225825 -0.262959 -2.544854 H -2.363717 -5.347066 0.361179 H -0.534648 -6.329895 0.038038 (Al)IrNH3 R=Me C -0.001298 -0.000970 -2.489565 H 1.088869 -0.081426 -2.604197 H -0.419999 0.408665 -3.418943 C -0.350702 0.774860 -1.235018 H 0.156550 1.753319 -1.216464 H -1.426958 0.994387 -1.204877 C 0.036041 -0.030312 0.000000 C -0.350702 0.774860 1.235018 H -1.426958 0.994387 1.204877 H 0.156550 1.753319 1.216464 C -0.001298 -0.000970 2.489565 H 1.088869 -0.081426 2.604197 H -0.419999 0.408665 3.418943 P -0.699976 -1.664142 -2.201729 P -0.699976 -1.664142 2.201729 Ir -0.579365 -2.040629 0.000000 H -0.202719 -4.731411 0.000000 H -1.590773 -4.512773 0.816694 H -1.590773 -4.512773 -0.816694 N -1.070651 -4.201558 0.000000 H 1.131602 -0.094613 0.000000 C -2.426609 -1.376811 -2.714447 H -2.401052 -1.118397 -3.785094 H -3.058535 -2.255590 -2.549921 H -2.840643 -0.540536 -2.141956 150 C 0.010767 -2.664053 -3.526419 H -0.451959 -3.656313 -3.597630 H -0.171491 -2.080005 -4.451313 H 1.087171 -2.780419 -3.354088 C -2.426609 -1.376811 2.714447 H -3.058535 -2.255590 2.549921 H -2.401052 -1.118397 3.785094 H -2.840643 -0.540536 2.141956 C 0.010767 -2.664053 3.526419 H -0.171491 -2.080005 4.451313 H -0.451959 -3.656313 3.597630 H 1.087171 -2.780419 3.354088 (Al)IrNH3 R=tBu C 0.006973 -0.012426 -2.494643 H 0.530383 -0.263349 -3.422557 H -0.376257 1.007522 -2.607182 C 0.860353 -0.110918 -1.237389 H 1.452070 -1.033128 -1.236903 H 1.580526 0.723369 -1.194240 C -0.020738 -0.083122 0.000000 H -0.497582 0.899625 0.000000 C 0.860353 -0.110918 1.237389 H 1.580526 0.723369 1.194240 H 1.452070 -1.033128 1.236903 C 0.006973 -0.012426 2.494643 H 0.530383 -0.263349 3.422557 H -0.376257 1.007522 2.607182 P -1.413434 -1.151684 -2.254437 P -1.413434 -1.151684 2.254437 Ir -1.531002 -1.501357 0.000000 H -2.942784 -3.708149 -0.820112 H -2.942784 -3.708149 0.820112 H -4.002383 -2.793460 0.000000 N -3.034320 -3.110898 0.000000 C -2.960744 -0.116892 -2.718591 C -4.187191 -0.846339 -2.143080 C -2.834769 1.175778 -1.889509 C -3.162549 0.263153 -4.190399 151 H -4.306605 -1.863574 -2.534793 H -4.098501 -0.886674 -1.049955 H -5.099603 -0.281940 -2.382919 H -2.095129 1.876063 -2.286575 H -3.807086 1.687742 -1.886211 H -2.575461 0.946824 -0.856069 H -4.026957 0.946325 -4.255207 H -2.290107 0.804358 -4.597467 H -3.374808 -0.600768 -4.841701 C -0.883900 -2.695392 -3.238602 C 0.183839 -3.330576 -2.312889 C -2.077154 -3.647332 -3.377093 C -0.256138 -2.466611 -4.630316 H 1.102954 -2.736319 -2.304113 H -0.163923 -3.400595 -1.272761 H 0.443391 -4.333610 -2.675332 H -2.906301 -3.183076 -3.929490 H -1.764398 -4.550033 -3.924844 H -2.455126 -3.996823 -2.402164 H -0.001375 -3.454536 -5.053124 H -0.939312 -1.960811 -5.338320 H 0.689118 -1.895386 -4.582349 C -2.960744 -0.116892 2.718591 C -2.834769 1.175778 1.889509 C -4.187191 -0.846339 2.143080 C -3.162549 0.263153 4.190399 H -2.095129 1.876063 2.286575 H -2.575461 0.946824 0.856069 H -3.807086 1.687742 1.886211 H -4.306605 -1.863574 2.534793 H -5.099603 -0.281940 2.382919 H -4.098501 -0.886674 1.049955 H -4.026957 0.946325 4.255207 H -3.374808 -0.600768 4.841701 H -2.290107 0.804358 4.597467 C -0.883900 -2.695392 3.238602 C -2.077154 -3.647332 3.377093 C 0.183839 -3.330576 2.312889 C -0.256138 -2.466611 4.630316 H -2.906301 -3.183076 3.929490 152 H -2.455126 -3.996823 2.402164 H -1.764398 -4.550033 3.924844 H 1.102954 -2.736319 2.304113 H 0.443391 -4.333610 2.675332 H -0.163923 -3.400595 1.272761 H -0.001375 -3.454536 5.053124 H 0.689118 -1.895386 4.582349 H -0.939312 -1.960811 5.338320 (Al)IrCO R=H C -0.139084 0.212251 2.530038 H 0.432959 0.236263 3.465371 H -0.957486 0.943826 2.603185 C 0.697730 0.465831 1.272231 H 1.065436 1.507013 1.280873 H 1.589948 -0.180567 1.292915 C -0.123976 0.187178 0.000696 C 0.697923 0.465883 -1.270768 H 1.589979 -0.180656 -1.291456 H 1.065736 1.506962 -1.279107 C -0.138801 0.212756 -2.528721 H -0.956721 0.944835 -2.602084 H 0.433477 0.236437 -3.463922 P -0.922887 -1.437754 -2.239535 H -1.925746 -1.538407 -3.249181 H 0.005637 -2.338450 -2.841623 P -0.921973 -1.438709 2.240427 H 0.008069 -2.338790 2.841092 H -1.923823 -1.541100 3.250908 Ir -1.242280 -1.662017 0.000432 H -0.956616 0.921702 0.000647 C -2.297978 -3.244026 -0.000053 O -2.940856 -4.217416 -0.000536 (Al)IrCO R=Me C -0.170611 1.682718 2.519569 H 0.340912 2.005358 3.436400 H -1.253553 1.801459 2.666550 153 C 0.287250 2.401616 1.255563 H -0.029641 3.456894 1.276701 H 1.386137 2.418537 1.215883 C -0.250372 1.707279 -0.000093 C 0.287329 2.401417 -1.255837 H 1.386306 2.418260 -1.216010 H -0.029470 3.456656 -1.277135 C -0.170316 1.682373 -2.519801 H -1.253176 1.801307 -2.667172 H 0.341559 2.004702 -3.436543 P 0.176997 -0.086440 -2.213665 P 0.177178 -0.086076 2.213741 Ir -0.122687 -0.434386 0.000057 H -1.346048 1.837280 -0.000079 C -0.005052 -2.301273 -0.000116 O 0.163855 -3.454007 -0.000432 C -0.609916 -0.991593 3.565674 H -0.321615 -2.049337 3.548658 H -0.257811 -0.502680 4.491738 H -1.700376 -0.921684 3.484336 C 1.957844 -0.193728 2.601434 H 2.075063 0.057643 3.665802 H 2.338944 -1.201730 2.406419 H 2.520759 0.517233 1.988133 C -0.610205 -0.991594 -3.565772 H -0.257428 -0.502852 -4.491666 H -0.322666 -2.049532 -3.548726 H -1.700637 -0.920888 -3.484831 C 1.957672 -0.194724 -2.601094 H 2.338265 -1.202968 -2.406312 H 2.075228 0.056894 -3.665356 H 2.520833 0.515763 -1.987481 (Al)IrCO R=tBu C -0.233325 1.701988 2.546867 H 0.319016 2.100367 3.407500 H -1.295541 1.713143 2.821438 C -0.010598 2.475735 1.250154 H -0.558959 3.431371 1.285783 154 H 1.047216 2.743203 1.153785 C -0.413899 1.683347 0.003080 C 0.009093 2.478454 -1.235760 H 1.069518 2.731608 -1.129911 H -0.527106 3.440947 -1.270533 C -0.214147 1.713194 -2.537633 H -1.275489 1.732562 -2.815043 H 0.343365 2.112567 -3.394276 P 0.214019 -0.055880 -2.269835 P 0.206093 -0.063801 2.272941 Ir 0.043743 -0.365548 0.000681 H -1.510587 1.624164 -0.006081 C 0.231922 -2.221839 -0.003331 O 0.301322 -3.383488 -0.007406 C -1.104762 -1.051366 3.218512 C -0.670403 -2.519376 3.324078 C -1.448571 -0.496075 4.611645 C -2.360195 -0.955939 2.318614 H -0.443887 -2.960430 2.346462 H 0.208629 -2.629551 3.974619 H -1.490829 -3.103949 3.769062 H -1.849419 0.532310 4.571806 H -2.239791 -1.130260 5.046196 H -0.589663 -0.512442 5.306821 H -3.184785 -1.500320 2.799445 H -2.690248 0.081878 2.177088 H -2.187400 -1.386044 1.324704 C 2.058134 -0.235152 2.716267 C 2.599158 -1.555969 2.140275 C 2.750973 0.905147 1.944903 C 2.407385 -0.108201 4.205671 H 2.085877 -2.438427 2.538208 H 2.509727 -1.571967 1.049459 H 3.665923 -1.641832 2.394602 H 2.540833 1.888652 2.375917 H 3.838230 0.748404 1.981156 H 2.449147 0.910267 0.894003 H 3.506771 -0.114649 4.299438 H 2.052122 0.840083 4.647658 H 2.024913 -0.946146 4.812525 155 C -1.101650 -1.035596 -3.216741 C -1.448292 -0.470852 -4.605400 C -0.668035 -2.503128 -3.331837 C -2.354357 -0.944516 -2.312393 H -1.844349 0.559187 -4.558135 H -0.592128 -0.487349 -5.304116 H -2.244197 -1.098684 -5.040512 H -0.449231 -2.952259 -2.356258 H -1.486018 -3.083030 -3.787263 H 0.215404 -2.609114 -3.977054 H -3.180590 -1.487240 -2.792074 H -2.176993 -1.377678 -1.320717 H -2.684086 0.092831 -2.165403 C 2.063706 -0.234168 -2.721567 C 2.766104 0.923178 -1.985907 C 2.611355 -1.540195 -2.118770 C 2.400175 -0.141766 -4.216788 H 2.542249 1.898395 -2.429175 H 2.491908 0.946138 -0.927653 H 3.853037 0.769808 -2.045533 H 2.077126 -2.431262 -2.466452 H 3.667749 -1.646242 -2.406680 H 2.561413 -1.515801 -1.025271 H 3.498719 -0.134966 -4.318761 H 2.025441 -1.001254 -4.797577 H 2.026747 0.789045 -4.680415 (Ar)Ir(H)NH2 R=H C 0.000176 -0.000494 -1.203798 C 1.400327 0.009016 -1.213193 C 2.134359 0.037384 0.000000 C 1.400327 0.009016 1.213193 C 0.000176 -0.000494 1.203798 C -0.706844 0.010182 0.000000 H -0.543806 -0.018213 -2.151288 H -0.543806 -0.018213 2.151288 H -1.795729 0.013497 0.000000 C 2.134458 -0.089878 2.534913 H 2.107993 -1.125096 2.906472 156 H 1.712154 0.549849 3.318999 C 2.134458 -0.089878 -2.534913 H 2.107993 -1.125096 -2.906472 H 1.712154 0.549849 -3.318999 Ir 4.201714 0.104951 0.000000 H 3.716061 1.619263 0.000000 P 3.918622 0.291679 2.239206 H 4.112988 1.575445 2.818111 H 4.582275 -0.457416 3.257546 P 3.918622 0.291679 -2.239206 H 4.582275 -0.457416 -3.257546 H 4.112988 1.575445 -2.818111 N 5.855102 -1.009403 0.000000 H 6.362266 -1.305644 -0.828813 H 6.362266 -1.305644 0.828813 (Ar)Ir(H)NH2 R=Me C 0.130941 0.082181 -1.206746 C 1.530314 -0.004498 -1.215462 C 2.242867 -0.029189 0.000000 C 1.530314 -0.004498 1.215462 C 0.130941 0.082181 1.206746 C -0.572691 0.146696 0.000000 H -0.410839 0.097307 -2.156222 H -0.410839 0.097307 2.156222 H -1.659586 0.225043 0.000000 C 2.281284 -0.181115 2.515283 H 2.186707 -1.219863 2.862892 H 1.923322 0.463763 3.326585 C 2.281284 -0.181115 -2.515283 H 2.186707 -1.219863 -2.862892 H 1.923322 0.463763 -3.326585 Ir 4.294728 -0.118418 0.000000 H 3.924613 1.404905 0.000000 P 4.069054 0.114347 2.229900 P 4.069054 0.114347 -2.229900 N 5.764809 -1.458599 0.000000 C 4.299353 1.822626 -2.815981 H 5.320463 2.167112 -2.622857 157 H 4.082484 1.856805 -3.893202 H 3.602398 2.472288 -2.275182 C 4.907117 -0.904034 -3.471927 H 4.440619 -0.683869 -4.447078 H 5.976878 -0.660261 -3.503929 H 4.794707 -1.967190 -3.229502 C 4.299353 1.822626 2.815981 H 4.082484 1.856805 3.893202 H 5.320463 2.167112 2.622857 H 3.602398 2.472288 2.275182 C 4.907117 -0.904034 3.471927 H 5.976878 -0.660261 3.503929 H 4.440619 -0.683869 4.447078 H 4.794707 -1.967190 3.229502 H 6.233952 -1.809379 -0.826475 H 6.233952 -1.809379 0.826475 t (Ar)Ir(H)NH2 R=Bu C 0.039540 -0.198738 1.207952 C 1.422757 0.057402 1.209982 C 2.125715 0.238330 0.000000 C 1.422757 0.057402 -1.209982 C 0.039540 -0.198738 -1.207952 C -0.662063 -0.326727 0.000000 H -0.479270 -0.349749 2.160827 H -0.479270 -0.349749 -2.160827 H -1.727664 -0.564999 0.000000 C 2.166825 0.079914 -2.528260 H 2.027345 1.033825 -3.049766 H 1.813165 -0.692473 -3.220621 C 2.166825 0.079914 2.528260 H 2.027345 1.033825 3.049766 H 1.813165 -0.692473 3.220621 P 3.976354 -0.112002 2.269191 P 3.976354 -0.112002 -2.269191 Ir 4.163425 0.357687 0.000000 H 3.544643 -1.020707 0.000000 N 5.916500 1.278402 0.000000 H 6.487911 1.403260 0.821845 158 H 6.487911 1.403260 -0.821845 C 4.728374 1.151138 3.445520 C 6.241325 0.902497 3.516503 C 4.416797 2.507197 2.785927 C 4.148286 1.161236 4.869919 H 6.453324 -0.015378 4.081969 H 6.707667 0.788270 2.529012 H 6.734528 1.739224 4.033459 H 3.335406 2.689435 2.768321 H 4.876252 3.311711 3.373745 H 4.773573 2.568578 1.754530 H 4.659717 1.953440 5.441365 H 3.070656 1.397928 4.885785 H 4.306733 0.208894 5.405782 C 4.387931 -1.972584 2.623667 C 3.305600 -2.804359 1.921568 C 5.750477 -2.2908351.983823 C 4.400591 -2.425387 4.099821 H 2.309145 -2.656985 2.353813 H 3.244713 -2.608098 0.849179 H 3.562556 -3.868435 2.041368 H 6.578773 -1.792243 2.501371 H 5.928555 -3.375485 2.042297 H 5.784132 -2.001341 0.929431 H 4.593520 -3.513431 4.091353 H 5.202358 -1.967974 4.704541 H 3.431180 -2.277912 4.608910 C 4.728374 1.151138 -3.445520 C 4.416797 2.507197 -2.785927 C 6.241325 0.902497 -3.516503 C 4.148286 1.161236 -4.869919 H 3.335406 2.689435 -2.768321 H 4.773573 2.568578 -1.754530 H 4.876252 3.311711 -3.373745 H 6.453324 -0.015378 -4.081969 H 6.734528 1.739224 -4.033459 H 6.707667 0.788270 -2.529012 H 4.659717 1.953440 -5.441365 H 4.306733 0.208894 -5.405782 H 3.070656 1.397928 -4.885785 159 C 4.387931 -1.972584 -2.623667 C 5.750477 -2.290835 -1.983823 C 3.305600 -2.804359 -1.921568 C 4.400591 -2.425387 -4.099821 H 6.578773 -1.792243 -2.501371 H 5.784132 -2.001341 -0.929431 H 5.928555 -3.375485 -2.042297 H 2.309145 -2.656985 -2.353813 H 3.562556 -3.868435 -2.041368 H 3.244713 -2.608098 -0.849179 H 4.593520 -3.513431 -4.091353 H 3.431180 -2.277912 -4.608910 H 5.202358 -1.967974 -4.704541 (Ar)IrNH3 R=H C 0.000262 -0.002371 -1.202509 C 1.401138 0.005214 -1.209038 C 2.155459 0.052078 0.000000 C 1.401138 0.005214 1.209038 C 0.000262 -0.002371 1.202509 C -0.710791 0.010642 0.000000 H -0.540788 -0.023230 -2.152799 H -0.540788 -0.023230 2.152799 H -1.800118 0.011988 0.000000 C 2.130892 -0.099377 2.526920 H 2.223580 -1.150843 2.837068 H 1.653824 0.449271 3.346940 C 2.130892 -0.099377 -2.526920 H 2.223580 -1.150843 -2.837068 H 1.653824 0.449271 -3.346940 P 3.843453 0.490410 -2.204842 P 3.843453 0.490410 2.204842 Ir 4.181428 0.250786 0.000000 N 6.396440 0.328654 0.000000 H 6.804437 -0.128035 0.817175 H 6.804437 -0.128035 -0.817175 H 6.734965 1.293194 0.000000 H 3.823042 1.832483 2.684796 H 4.574387 -0.036278 3.318569 160 H 3.823042 1.832483 -2.684796 H 4.574387 -0.036278 -3.318569 (Ar)IrNH3 R=Me C -0.000433 -0.007295 -1.204502 C 1.403660 0.001449 -1.205912 C 2.144634 0.032852 0.000000 C 1.403660 0.001449 1.205912 C -0.000433 -0.007295 1.204502 C -0.712684 0.004670 0.000000 H -0.539351 -0.008851 -2.156991 H -0.539351 -0.008851 2.156991 H -1.803746 0.014786 0.000000 C 2.161170 -0.034384 2.506222 H 2.336471 -1.066212 2.838498 H 1.663289 0.498147 3.325276 C 2.161170 -0.034384 -2.506222 H 2.336471 -1.066212 -2.838498 H 1.663289 0.498147 -3.325276 Ir 4.159641 0.364366 0.000000 P 3.773159 0.738748 2.159432 P 3.773159 0.738748 -2.159432 C 3.325737 2.503684 -2.331859 H 4.144049 3.163417 -2.031888 H 3.058660 2.686849 -3.381787 H 2.463998 2.704838 -1.688307 C 4.791428 0.418922 -3.619754 H 4.146588 0.653072 -4.490137 H 5.677364 1.069220 -3.623753 H 5.109398 -0.630527 -3.646548 C 3.325737 2.503684 2.331859 H 3.058660 2.686849 3.381787 H 4.144049 3.163417 2.031888 H 2.463998 2.704838 1.688307 C 4.791428 0.418922 3.619754 H 5.677364 1.069220 3.623753 H 4.146588 0.653072 4.490137 H 5.109398 -0.630527 3.646548 H 6.794714 0.285609 -0.819051 161 H 6.582119 1.674662 0.000000 H 6.794714 0.285609 0.819051 N 6.338454 0.684579 0.000000 t (Ar)IrNH3 R=Bu C 0.009577 0.181919 1.205960 C 1.408842 0.040840 1.203049 C 2.142791 -0.016382 0.000000 C 1.408842 0.040840 -1.203049 C 0.009577 0.181919 -1.205960 C -0.704214 0.265872 0.000000 H -0.522034 0.236993 2.164553 H -0.522034 0.236993 -2.164553 H -1.789741 0.387976 0.000000 C 2.136629 -0.084124 -2.513952 H 1.744146 0.562989 -3.303746 H 2.058681 -1.103870 -2.901939 C 2.136629 -0.084124 2.513952 H 1.744146 0.562989 3.303746 H 2.058681 -1.103870 2.901939 P 3.904692 0.257662 2.248890 P 3.904692 0.257662 -2.248890 Ir 4.141086 0.070957 0.000000 C 4.089990 2.094294 2.746279 C 5.446004 2.597323 2.229113 C 3.010094 2.809966 1.917161 C 3.901232 2.459794 4.226485 H 6.296452 2.061197 2.672378 H 5.484680 2.518763 1.134701 H 5.561063 3.661113 2.485166 H 1.993110 2.574238 2.242856 H 3.154656 3.894753 2.010783 H 3.085070 2.538833 0.865017 H 3.929536 3.560843 4.306651 H 2.920582 2.138498 4.622020 H 4.695775 2.064461 4.883149 C 4.739909 -1.147648 3.206415 C 4.499667 -2.367340 2.288058 C 6.246710 -0.877658 3.309511 162 C 4.164681 -1.457520 4.599121 H 3.433405 -2.590549 2.176574 H 4.886635 -2.195757 1.276427 H 4.985784 -3.250958 2.721364 H 6.452903 0.023172 3.906541 H 6.745172 -1.727315 3.802368 H 6.712949 -0.761991 2.320382 H 4.720840 -2.311052 5.021369 H 4.266291 -0.612729 5.303324 H 3.103606 -1.756945 4.561100 C 4.089990 2.094294 -2.746279 C 3.010094 2.809966 -1.917161 C 5.446004 2.597323 -2.229113 C 3.901232 2.459794 -4.226485 H 1.993110 2.574238 -2.242856 H 3.085070 2.538833 -0.865017 H 3.154656 3.894753 -2.010783 H 6.296452 2.061197 -2.672378 H 5.561063 3.661113 -2.485166 H 5.484680 2.518763 -1.134701 H 3.929536 3.560843 -4.306651 H 4.695775 2.064461 -4.883149 H 2.920582 2.138498 -4.622020 C 4.739909 -1.147648 -3.206415 C 6.246710 -0.877658 -3.309511 C 4.499667 -2.367340 -2.288058 C 4.164681 -1.457520 -4.599121 H 6.452903 0.023172 -3.906541 H 6.712949 -0.761991 -2.320382 H 6.745172 -1.727315 -3.802368 H 3.433405 -2.590549 -2.176574 H 4.985784 -3.250958 -2.721364 H 4.886635 -2.195757 -1.276427 H 4.720840 -2.311052 -5.021369 H 3.103606 -1.756945 -4.561100 H 4.266291 -0.612729 -5.303324 N 6.343514 0.241098 0.000000 H 6.685064 0.750586 -0.814747 H 6.685064 0.750586 0.814747 H 6.836884 -0.652043 0.000000 163 APPENDIX B CALCULATED CARTESIAN COORDINATES IN CHAPTER 3 (MeO)3WN W 0.000158 -0.000703 -0.069258 N 0.001110 -0.000414 1.615016 O -0.085099 1.809095 -0.556939 O -1.525354 -0.978438 -0.556445 O 1.610604 -0.831067 -0.557220 C 2.680555 -1.383619 0.204012 H 2.790370 -2.449685 -0.055543 H 3.613456 -0.856280 -0.055931 H 2.481515 -1.280445 1.284307 C -0.139280 3.012731 0.203582 H -0.123949 2.790386 1.284180 H 0.727387 3.641315 -0.060475 H -1.064053 3.555885 -0.052783 C -2.543348 -1.623165 0.203930 H -3.519948 -1.187432 -0.064977 H -2.551252 -2.696736 -0.047705 H -2.361733 -1.494473 1.284597 MeCN C 0.000000 0.000000 -1.182685 H 0.000000 1.031900 -1.567583 H 0.893651 -0.515950 -1.567583 H -0.893651 -0.515950 -1.567583 C 0.000000 0.000000 0.276783 N 0.000000 0.000000 1.448308 164 Int1A W -0.613763 0.000022 -0.159029 O -0.066921 -1.562122 -1.029880 O -0.067605 1.562893 -1.029012 O -2.445579 -0.000535 0.242950 C 3.489993 0.000053 0.447675 N 3.532041 0.000802 -0.724377 N 0.175665 -0.000166 1.332604 C 0.908248 2.562368 -0.745743 H 1.148231 2.573516 0.331050 H 1.821963 2.346204 -1.321443 H 0.501912 3.541075 -1.048620 C 3.392935 -0.000890 1.902165 H 3.881914 0.891812 2.322705 H 2.321804 0.001078 2.176431 H 3.877963 -0.896455 2.321195 C 0.909321 -2.561404 -0.747320 H 1.822890 -2.344588 -1.323013 H 1.149443 -2.573111 0.329437 H 0.503296 -3.540080 -1.050715 C -3.170526 -0.000882 1.469645 H -2.481628 -0.001017 2.331489 H -3.811188 0.895824 1.505749 H -3.811031 -0.897716 1.505323 Int2A W 0.206000 -0.116638 -0.126031 O 0.913300 1.575801 0.412564 O -0.102143 -1.872979 0.492893 O 1.954151 -0.498128 -0.671406 C -1.903796 0.491892 -0.236923 N -0.986457 0.183520 -1.435665 N -1.445842 0.428120 0.970511 C -1.205218 -2.569335 1.037857 H -1.792937 -1.890541 1.682848 H -1.852766 -2.943087 0.224772 H -0.833631 -3.421889 1.628823 C -3.298255 0.838555 -0.671938 165 H -3.924695 1.046292 0.206021 H -3.262442 1.715502 -1.337213 H -3.714211 0.003502 -1.257286 C 0.392067 2.692738 1.105220 H 0.055936 3.456426 0.380911 H -0.468479 2.391036 1.729088 H 1.184539 3.125600 1.738734 C 3.260870 -0.192930 -0.225142 H 3.568076 -0.893839 0.570053 H 3.954922 -0.283703 -1.075264 H 3.271294 0.841398 0.164035 Int3A W 0.581212 -0.000016 0.088391 O 0.204563 -1.546732 -0.890629 O 0.204198 1.547259 -0.889548 O 2.318901 -0.000089 0.855622 C -3.525205 0.000378 -0.016935 N -0.460027 -0.000790 1.413385 N -3.342622 0.001847 -1.175552 C -0.798903 2.557637 -0.796998 H -1.611632 2.319924 -1.500987 H -1.204504 2.606513 0.227457 H -0.343740 3.524366 -1.066333 C -3.705424 -0.001760 1.429440 H -2.703864 -0.001995 1.898060 H -4.262543 0.891904 1.751539 H -4.261699 -0.896879 1.748942 C -0.798706 -2.557002 -0.798806 H -1.203916 -2.606931 0.225759 H -1.611669 -2.318351 -1.502214 H -0.343877 -3.523542 -1.069380 C 3.482923 -0.000038 0.023435 H 3.244989 -0.000175 -1.059605 H 4.080801 0.898415 0.248215 H 4.081092 -0.898253 0.248405 166 Ts1A W 0.232453 -0.146176 -0.054050 O 0.942778 1.631700 -0.255932 O -0.277674 -1.980560 -0.096206 O 2.028134 -0.688614 -0.219334 C -1.787355 0.561333 0.037638 N -1.324411 0.313162 -1.180210 N -0.950099 0.369047 1.247645 C -1.511036 -2.637682 0.047991 H -1.984695 -2.350524 1.008001 H -2.186731 -2.344593 -0.779404 H -1.359958 -3.729140 0.024294 C -3.174436 1.067167 0.320458 H -3.674434 0.372979 1.013471 H -3.106231 2.042352 0.826946 H -3.740931 1.158536 -0.615231 C 0.332772 2.884444 -0.070828 H -0.420552 3.054273 -0.865287 H -0.181995 2.918251 0.911015 H 1.090988 3.683355 -0.121708 C 3.184646 -0.230058 0.464040 H 3.144451 -0.486254 1.537759 H 4.064464 -0.715344 0.013692 H 3.262228 0.866267 0.350103 Ts2A W -0.231904 -0.099827 0.093839 O -0.811441 1.628433 -0.479357 O 0.044332 -1.855929 -0.568853 O -1.976753 -0.447832 0.679962 C 2.032902 0.443765 -0.022157 N 0.828670 0.083165 1.463317 N 1.508121 0.376777 -1.127901 C 1.166568 -2.697714 -0.725394 H 1.849670 -2.285949 -1.490507 H 1.715193 -2.802287 0.229445 H 0.820840 -3.691670 -1.054218 C 3.300195 0.711324 0.691590 167 H 3.578404 -0.166537 1.292636 H 4.089686 0.942937 -0.039357 H 3.160363 1.552808 1.385706 C -0.191902 2.869854 -0.735309 H 0.254725 3.283805 0.188256 H 0.601529 2.756792 -1.495989 H -0.950916 3.575676 -1.112303 C -3.245655 -0.195497 0.103733 H -3.467467 -0.933584 -0.687519 H -4.011805 -0.274245 0.891218 H -3.258590 0.822093 -0.328149 A' W 0.000001 0.010481 0.101793 N 0.000038 -0.726791 1.612956 O 1.555618 -0.594541 -0.752698 O -0.000075 1.865467 0.506361 O -1.555568 -0.594673 -0.752693 C -2.603384 -1.467147 -0.333418 H -3.555908 -0.912309 -0.346298 H -2.670353 -2.308313 -1.042856 H -2.405946 -1.848160 0.682562 C 2.603507 -1.466928 -0.333424 H 2.406097 -1.847964 0.682552 H 2.670553 -2.308083 -1.042868 H 3.555983 -0.912007 -0.346295 C -0.000138 2.866932 -0.514323 H -0.897788 3.495764 -0.394436 H 0.897696 3.495567 -0.394762 H -0.000375 2.450278 -1.541732 Ts-A' W 0.000911 -0.025797 0.048256 N 0.513471 0.181973 1.640866 O 0.051959 1.692630 -0.688681 O -1.684520 -0.841552 0.116452 O 1.311673 -1.120612 -0.722528 C 2.485830 -1.722028 -0.181471 168 H 2.394744 -2.818029 -0.260254 H 3.356471 -1.392736 -0.772424 H 2.617206 -1.431389 0.874517 C 0.418307 2.959696 -0.144393 H 0.695577 2.857067 0.918131 H 1.269872 3.359257 -0.719160 H -0.435902 3.648887 -0.246388 C -3.035276 -0.969342 -0.250710 H -3.262557 -0.402300 -1.171873 H -3.259272 -2.035088 -0.427194 H -3.683928 -0.604225 0.565112 (MeO)3MoN Mo -0.000187 -0.000275 -0.092891 N 0.000068 0.001093 1.566949 O 0.243546 1.810226 -0.587727 O -1.689909 -0.694933 -0.586307 O 1.445941 -1.116659 -0.586307 C 2.384273 -1.841499 0.194417 H 2.306639 -2.915093 -0.050988 H 3.403419 -1.495870 -0.052027 H 2.199872 -1.698102 1.274497 C 0.405220 2.983805 0.194357 H 0.376180 2.749708 1.273892 H 1.373437 3.453074 -0.053047 H -0.403807 3.694704 -0.048480 C -2.788452 -1.140840 0.194525 H -3.680456 -0.542853 -0.061595 H -2.993711 -2.199749 -0.040963 H -2.577052 -1.039772 1.274429 Int1B Mo 0.782591 -0.000177 -0.214068 O 0.232777 1.578334 -1.089082 O 0.236757 -1.578250 -1.092767 O 2.629398 0.000486 0.194945 C -3.341492 0.002345 0.445242 N -3.377237 0.011815 -0.726664 169 N -0.000132 -0.002452 1.254298 C -0.755976 -2.547090 -0.783685 H -0.977376 -2.553355 0.298655 H -1.679267 -2.314992 -1.339581 H -0.383066 -3.539623 -1.088565 C -3.262567 -0.010609 1.901211 H -3.750784 -0.910910 2.306168 H -2.198846 -0.008306 2.196427 H -3.759615 0.877073 2.322878 C -0.758063 2.547739 -0.775521 H -1.680869 2.321155 -1.334395 H -0.981473 2.547491 0.306376 H -0.382151 3.541256 -1.073354 C 3.322644 0.002402 1.434781 H 2.619817 -0.004523 2.286951 H 3.969969 -0.890053 1.487171 H 3.957671 0.903403 1.491750 Int2B Mo 0.739231 0.000006 0.120290 O 0.387062 -1.564137 -0.872083 O 0.387078 1.564249 -0.871937 O 2.476178 -0.000239 0.922996 C -3.396277 0.000004 -0.019304 N -0.314000 -0.000109 1.405316 N -3.184919 0.000114 -1.172753 C -0.631131 2.552548 -0.774128 H -1.438645 2.313584 -1.485340 H -1.047946 2.589420 0.247780 H -0.193210 3.532286 -1.029078 C -3.621607 -0.000120 1.421148 H -4.188613 0.894024 1.723952 H -4.188572 -0.894350 1.723778 H -2.640916 -0.000149 1.928064 C -0.631209 -2.552383 -0.774358 H -1.047921 -2.589408 0.247589 H -1.438778 -2.313226 -1.485438 H -0.193385 -3.532104 -1.029531 C 3.616929 0.000014 0.065600 170 H 3.355059 0.002175 -1.012810 H 4.223336 0.897832 0.274228 H 4.221546 -0.899725 0.271138 TsB Mo 0.309836 -0.162776 -0.138647 O 0.952651 1.672620 -0.224977 O -0.162786 -2.030756 -0.119087 O 2.122186 -0.632942 -0.378612 C -1.750908 0.470325 -0.054292 N -1.282178 0.266192 -1.263730 N -0.886097 0.279475 1.160134 C -1.337249 -2.676990 0.282273 H -1.724724 -2.224043 1.220091 H -2.112494 -2.565592 -0.502949 H -1.146188 -3.752228 0.441063 C -3.151304 0.913992 0.262927 H -3.618717 0.179896 0.937612 H -3.114871 1.875934 0.797574 H -3.731176 1.012067 -0.664394 C 0.318120 2.854079 0.175601 H -0.426520 3.158034 -0.588301 H -0.218634 2.698221 1.136390 H 1.056894 3.666773 0.287078 C 3.175649 -0.303036 0.510590 H 3.001940 -0.716065 1.521727 H 4.106437 -0.734613 0.108543 H 3.270637 0.796953 0.572723 Ts-B' Mo 0.024354 -0.062221 0.054164 N 0.461913 0.252242 1.626928 O -0.423326 1.623677 -0.660437 O -1.382192 -1.337576 0.100867 O 1.591600 -0.773172 -0.721795 C 2.869695 -1.015289 -0.148238 H 3.094599 -2.093791 -0.210148 H 3.630759 -0.459381 -0.722274 171 H 2.894596 -0.691984 0.907590 C -0.389257 2.926084 -0.089097 H -0.078655 2.884300 0.969677 H 0.319625 3.549873 -0.659616 H -1.394681 3.373905 -0.163683 C -2.752647 -1.459982 -0.207233 H -3.059583 -0.774682 -1.019841 H -2.948583 -2.496446 -0.533214 H -3.369730 -1.252502 0.686450 B' Mo -0.000007 0.011457 0.140588 N -0.000161 -0.731436 1.622333 O 1.572001 -0.578259 -0.730459 O 0.000289 1.876730 0.563060 O -1.572175 -0.577768 -0.730500 C -2.610084 -1.449417 -0.301259 H -3.566094 -0.898351 -0.298706 H -2.688258 -2.291227 -1.010444 H -2.406735 -1.838577 0.711868 C 2.609574 -1.450316 -0.301233 H 2.406078 -1.839410 0.711890 H 2.687420 -2.292150 -1.010426 H 3.565797 -0.899621 -0.298677 C 0.000566 2.835357 -0.493173 H -0.897876 3.469652 -0.402955 H 0.898445 3.470284 -0.401828 H 0.001387 2.378887 -1.504573 172 APPENDIX C CALCULATED CARTESIAN COORDINATES FOR MOLECULES IN CHAPTER 4 t ( BuO)3CrN Cr 0.000000 0.000000 0.142516 N 0.000000 0.000000 -1.406651 O 1.668282 0.000000 0.718769 O -0.834141 -1.444774 0.718769 O -0.834141 1.444774 0.718769 C -1.480656 2.564571 0.057394 C 2.961312 0.000000 0.057394 C -1.480656 -2.564571 0.057394 C -1.991722 3.449764 1.199162 H -1.155264 3.782387 1.826914 H -2.502616 4.334657 0.795910 H -2.698011 2.891682 1.826914 C -2.638071 2.043585 -0.794809 H -2.261786 1.383614 -1.586214 H -3.346901 1.483120 -0.171867 H -3.171903 2.881363 -1.263809 C -0.450760 3.306429 -0.794809 H -0.909383 4.187630 -1.263809 H 0.389031 3.640062 -0.171867 H -0.067351 2.650571 -1.586214 C -0.450760 -3.306429 -0.794809 H -0.067351 -2.650571 -1.586214 H 0.389031 -3.640062 -0.171867 H -0.909383 -4.187630 -1.263809 C -1.991722 -3.449764 1.199162 H -2.698011 -2.891682 1.826914 173 H -2.502616 -4.334657 0.795910 H -1.155264 -3.782387 1.826914 C -2.638071 -2.043585 -0.794809 H -3.171903 -2.881363 -1.263809 H -3.346901 -1.483120 -0.171867 H -2.261786 -1.383614 -1.586214 C 3.088832 -1.262845 -0.794809 H 2.957870 -2.156942 -0.171867 H 2.329138 -1.266958 -1.586214 H 4.081285 -1.306267 -1.263809 C 3.088832 1.262845 -0.794809 H 2.957870 2.156942 -0.171867 H 4.081285 1.306267 -1.263809 H 2.329138 1.266958 -1.586214 C 3.983444 0.000000 1.199162 H 5.005231 0.000000 0.795910 H 3.853275 0.890705 1.826914 H 3.853275 -0.890705 1.826914 t ( BuO)3MoN Mo 0.000000 0.000000 0.161963 N 0.000000 0.000000 -1.517669 O 0.908237 -1.573113 0.732535 O -1.816474 0.000000 0.732535 O 0.908237 1.573113 0.732535 C 1.551075 2.686541 0.037300 C 1.551075 -2.686541 0.037300 C -3.102150 0.000000 0.037300 C 2.077162 3.597750 1.148495 H 2.793107 3.055894 1.779829 H 2.582333 4.472732 0.717009 H 1.249929 3.946848 1.779829 C 0.508435 3.404413 -0.818463 H 0.115433 2.729636 -1.589648 H -0.322522 3.754960 -0.192608 H 0.958255 4.274159 -1.316579 C 2.694090 2.142524 -0.818463 H 3.222403 2.966953 -1.316579 H 3.413152 1.598168 -0.192608 174 H 2.306217 1.464786 -1.589648 C -3.202526 1.261888 -0.818463 H -3.090630 2.156792 -0.192608 H -2.421650 1.264850 -1.589648 H -4.180658 1.307206 -1.316579 C -3.202526 -1.261888 -0.818463 H -3.090630 -2.156792 -0.192608 H -4.180658 -1.307206 -1.316579 H -2.421650 -1.264850 -1.589648 C -4.154323 0.000000 1.148495 H -5.164666 0.000000 0.717009 H -4.043035 -0.890954 1.779829 H -4.043035 0.890954 1.779829 C 0.508435 -3.404413 -0.818463 H -0.322522 -3.754960 -0.192608 H 0.115433 -2.729636 -1.589648 H 0.958255 -4.274159 -1.316579 C 2.694090 -2.142524 -0.818463 H 3.413152 -1.598168 -0.192608 H 3.222403 -2.966953 -1.316579 H 2.306217 -1.464786 -1.589648 C 2.077162 -3.597750 1.148495 H 2.582333 -4.472732 0.717009 H 2.793107 -3.055894 1.779829 H 1.249929 -3.946848 1.779829 t ( BuO)3WN W 0.000000 0.000000 0.140993 N 0.000000 0.000000 -1.573612 O 0.911903 -1.579462 0.709283 O -1.823806 0.000000 0.709283 O 0.911903 1.579462 0.709283 C 1.556867 2.696573 0.009633 C 1.556867 -2.696573 0.009633 C -3.113735 0.000000 0.009633 C 2.082609 3.607185 1.120007 H 2.799254 3.066291 1.751529 H 2.587586 4.481831 0.687950 H 1.255859 3.957371 1.751529 175 C 0.511509 3.408362 -0.845915 H 0.116809 2.725884 -1.609424 H -0.316830 3.764232 -0.219441 H 0.959905 4.274269 -1.351896 C 2.695973 2.147161 -0.845915 H 3.221673 2.968437 -1.351896 H 3.418335 1.607733 -0.219441 H 2.302280 1.464101 -1.609424 C -3.207483 1.261201 -0.845915 H -3.101505 2.156499 -0.219441 H -2.419089 1.261783 -1.609424 H -4.181578 1.305833 -1.351896 C -3.207483 -1.261201 -0.845915 H -3.101505 -2.156499 -0.219441 H -4.181578 -1.305833 -1.351896 H -2.419089 -1.261783 -1.609424 C -4.165218 0.000000 1.120007 H -5.175173 0.000000 0.687950 H -4.055113 -0.891080 1.751529 H -4.055113 0.891080 1.751529 C 0.511509 -3.408362 -0.845915 H -0.316830 -3.764232 -0.219441 H 0.116809 -2.725884 -1.609424 H 0.959905 -4.274269 -1.351896 C 2.695973 -2.147161 -0.845915 H 3.418335 -1.607733 -0.219441 H 3.221673 -2.968437 -1.351896 H 2.302280 -1.464101 -1.609424 C 2.082609 -3.607185 1.120007 H 2.587586 -4.481831 0.687950 H 2.799254 -3.066291 1.751529 H 1.255859 -3.957371 1.751529 i ( PrO)3MoN Mo 0.000000 0.000000 -0.023293 N 0.000000 0.000000 1.652468 O -1.831423 0.000000 -0.539811 O 0.915712 -1.586059 -0.539811 O 0.915712 1.586059 -0.539811 176 C 1.517387 2.628192 0.263043 C -3.034775 0.000000 0.263043 C 1.517387 -2.628192 0.263043 C 0.806102 3.937884 -0.047457 H 0.906952 4.183328 -1.113349 H -0.261594 3.864123 0.193683 H 1.239286 4.757058 0.542288 C 3.007257 2.667047 -0.047457 H 3.500090 3.451782 0.542288 H 3.477225 1.705514 0.193683 H 3.169392 2.877108 -1.113349 C 0.806102 -3.937884 -0.047457 H -0.261594 -3.864123 0.193683 H 0.906952 -4.183328 -1.113349 H 1.239286 -4.757058 0.542288 C 3.007257 -2.667047 -0.047457 H 3.477225 -1.705514 0.193683 H 3.500090 -3.451782 0.542288 H 3.169392 -2.877108 -1.113349 C -3.813359 1.270838 -0.047457 H -3.215632 2.158608 0.193683 H -4.076344 1.306220 -1.113349 H -4.739376 1.305276 0.542288 C -3.813359 -1.270838 -0.047457 H -3.215632 -2.158608 0.193683 H -4.739376 -1.305276 0.542288 H -4.076344 -1.306220 -1.113349 H 1.365411 2.364961 1.322575 H 1.365411 -2.364961 1.322575 H -2.730822 0.000000 1.322575 (Me2CF3CO)3MoN Mo 0.000000 0.000000 0.262954 N 0.000000 0.000000 1.938252 O -0.914286 -1.583590 -0.281152 O 1.828572 0.000000 -0.281152 O -0.914286 1.583590 -0.281152 C -1.540887 2.668895 0.430246 C -1.540887 -2.668895 0.430246 177 C 3.081774 0.000000 0.430246 C -2.073053 3.590633 -0.697567 C -0.511612 3.422181 1.270017 H -0.137289 2.750121 2.051892 H 0.324661 3.758083 0.647112 H -0.970560 4.294025 1.751113 C -2.707890 2.154160 1.270017 H -3.233455 2.987542 1.751113 H -3.416926 1.597877 0.647112 H -2.313030 1.493957 2.051892 C 3.219502 1.268022 1.270017 H 3.092265 2.160207 0.647112 H 2.450319 1.256164 2.051892 H 4.204014 1.306483 1.751113 C 3.219502 -1.268022 1.270017 H 3.092265 -2.160207 0.647112 H 4.204014 -1.306483 1.751113 H 2.450319 -1.256164 2.051892 C 4.146105 0.000000 -0.697567 C -0.511612 -3.422181 1.270017 H 0.324661 -3.758083 0.647112 H -0.137289 -2.750121 2.051892 H -0.970560 -4.294025 1.751113 C -2.707890 -2.154160 1.270017 H -3.416926 -1.597877 0.647112 H -3.233455 -2.987542 1.751113 H -2.313030 -1.493957 2.051892 C -2.073053 -3.590633 -0.697567 F -2.703312 4.682273 -0.168522 F -1.075434 4.051086 -1.495255 F -2.970626 2.956896 -1.495255 F -2.703312 -4.682273 -0.168522 F -2.970626 -2.956896 -1.495255 F -1.075434 -4.051086 -1.495255 F 5.406623 0.000000 -0.168522 F 4.046060 -1.094190 -1.495255 F 4.046060 1.094190 -1.495255 178 t + [( BuO)3CrN] Cr 0.000000 0.000000 0.119148 N 0.000000 0.000000 -1.420220 O 1.676644 0.000000 0.705588 O -0.838322 -1.452016 0.705588 O -0.838322 1.452016 0.705588 C -1.488799 2.578676 0.085187 C 2.977599 0.000000 0.085187 C -1.488799 -2.578676 0.085187 C -1.996713 3.458409 1.222523 H -1.165109 3.800108 1.850838 H -2.504599 4.338092 0.807502 H -2.708435 2.909068 1.850838 C -2.640697 2.046036 -0.795082 H -2.255929 1.405461 -1.596205 H -3.351149 1.485902 -0.175687 H -3.155488 2.903799 -1.244631 C -0.451571 3.309928 -0.795082 H -0.937020 4.184633 -1.244631 H 0.388746 3.645132 -0.175687 H -0.089201 2.656422 -1.596205 C -0.451571 -3.309928 -0.795082 H -0.089201 -2.656422 -1.596205 H 0.388746 -3.645132 -0.175687 H -0.937020 -4.184633 -1.244631 C -1.996713 -3.458409 1.222523 H -2.708435 -2.909068 1.850838 H -2.504599 -4.338092 0.807502 H -1.165109 -3.800108 1.850838 C -2.640697 -2.046036 -0.795082 H -3.155488 -2.903799 -1.244631 H -3.351149 -1.485902 -0.175687 H -2.255929 -1.405461 -1.596205 C 3.092267 -1.263893 -0.795082 H 2.962404 -2.159229 -0.175687 H 2.345129 -1.250961 -1.596205 H 4.092508 -1.280833 -1.244631 C 3.092267 1.263893 -0.795082 H 2.962404 2.159229 -0.175687 179 H 4.092508 1.280833 -1.244631 H 2.345129 1.250961 -1.596205 C 3.993427 0.000000 1.222523 H 5.009197 0.000000 0.807502 H 3.873544 0.891040 1.850838 H 3.873544 -0.891040 1.850838 t + [( BuO)3MoN] Mo 0.000000 0.000000 0.137914 N 0.000000 0.000000 -1.536269 O 0.901801 -1.561966 0.687057 O -1.803603 0.000000 0.687057 O 0.901801 1.561966 0.687057 C 1.556384 2.695736 0.038271 C 1.556384 -2.695736 0.038271 C -3.112768 0.000000 0.038271 C 2.063979 3.574917 1.204878 H 2.774895 3.016296 1.823800 H 2.569285 4.450132 0.777021 H 1.224741 3.911277 1.823800 C 0.517581 3.443425 -0.793638 H 0.143970 2.804115 -1.604743 H -0.324080 3.769219 -0.170494 H 0.978576 4.332748 -1.241279 C 2.723303 2.169951 -0.793638 H 3.262982 3.013846 -1.241279 H 3.426279 1.603948 -0.170494 H 2.356450 1.526739 -1.604743 C -3.240884 1.273475 -0.793638 H -3.102199 2.165271 -0.170494 H -2.500420 1.277376 -1.604743 H -4.241558 1.318902 -1.241279 C -3.240884 -1.273475 -0.793638 H -3.102199 -2.165271 -0.170494 H -4.241558 -1.318902 -1.241279 H -2.500420 -1.277376 -1.604743 C -4.127959 0.000000 1.204878 H -5.138570 0.000000 0.777021 H -3.999636 -0.894981 1.823800 180 H -3.999636 0.894981 1.823800 C 0.517581 -3.443425 -0.793638 H -0.324080 -3.769219 -0.170494 H 0.143970 -2.804115 -1.604743 H 0.978576 -4.332748 -1.241279 C 2.723303 -2.169951 -0.793638 H 3.426279 -1.603948 -0.170494 H 3.262982 -3.013846 -1.241279 H 2.356450 -1.526739 -1.604743 C 2.063979 -3.574917 1.204878 H 2.569285 -4.450132 0.777021 H 2.774895 -3.016296 1.823800 H 1.224741 -3.911277 1.823800 t + [( BuO)3WN] W 0.000000 0.000000 0.073802 N 0.000000 0.000000 -1.641626 O 0.895779 -1.551535 0.652895 O -1.791558 0.000000 0.652895 O 0.895779 1.551535 0.652895 C 1.571891 2.722595 0.063463 C 1.571891 -2.722595 0.063463 C -3.143781 0.000000 0.063463 C 2.052169 3.554461 1.265638 H 2.750366 2.974781 1.880238 H 2.567316 4.446722 0.888059 H 1.201053 3.869278 1.880238 C 0.543998 3.486743 -0.764054 H 0.184494 2.869096 -1.597757 H -0.307610 3.795795 -0.145699 H 1.010043 4.389393 -1.179290 C 2.747609 2.214487 -0.764054 H 3.296304 3.069419 -1.179290 H 3.441060 1.631499 -0.145699 H 2.392463 1.594325 -1.597757 C -3.291607 1.272256 -0.764054 H -3.133449 2.164295 -0.145699 H -2.576957 1.274771 -1.597757 H -4.306347 1.319973 -1.179290 181 C -3.291607 -1.272256 -0.764054 H -3.133449 -2.164295 -0.145699 H -4.306347 -1.319973 -1.179290 H -2.576957 -1.274771 -1.597757 C -4.104338 0.000000 1.265638 H -5.134632 0.000000 0.888059 H -3.951419 -0.894497 1.880238 H -3.951419 0.894497 1.880238 C 0.543998 -3.486743 -0.764054 H -0.307610 -3.795795 -0.145699 H 0.184494 -2.869096 -1.597757 H 1.010043 -4.389393 -1.179290 C 2.747609 -2.214487 -0.764054 H 3.441060 -1.631499 -0.145699 H 3.296304 -3.069419 -1.179290 H 2.392463 -1.594325 -1.597757 C 2.052169 -3.554461 1.265638 H 2.567316 -4.446722 0.888059 H 2.750366 -2.974781 1.880238 H 1.201053 -3.869278 1.880238 i + [( PrO)3MoN] Mo 0.000000 0.000000 0.093654 N 0.000000 0.000000 1.768996 O -1.803039 0.000000 -0.446615 O 0.901520 -1.561478 -0.446615 O 0.901520 1.561478 -0.446615 C 1.554517 2.692503 0.169905 C -3.109034 0.000000 0.169905 C 1.554517 -2.692503 0.169905 C 0.806070 3.963416 -0.200319 H 0.869654 4.138138 -1.282945 H -0.249824 3.903283 0.088296 H 1.259686 4.816594 0.318597 C 3.029384 2.679785 -0.200319 H 3.541450 3.499217 0.318597 H 3.505254 1.735288 0.088296 H 3.148906 2.822211 -1.282945 C 0.806070 -3.963416 -0.200319 182 H -0.249824 -3.903283 0.088296 H 0.869654 -4.138138 -1.282945 H 1.259686 -4.816594 0.318597 C 3.029384 -2.679785 -0.200319 H 3.505254 -1.735288 0.088296 H 3.541450 -3.499217 0.318597 H 3.148906 -2.822211 -1.282945 C -3.835454 1.283631 -0.200319 H -3.255430 2.167995 0.088296 H -4.018560 1.315927 -1.282945 H -4.801136 1.317377 0.318597 C -3.835454 -1.283631 -0.200319 H -3.255430 -2.167995 0.088296 H -4.801136 -1.317377 0.318597 H -4.018560 -1.315927 -1.282945 H 1.456986 2.523575 1.263358 H 1.456986 -2.523575 1.263358 H -2.913973 0.000000 1.263358 + [(Me2CF3CO)3MoN] Mo 0.000000 0.000000 0.348858 N 0.000000 0.000000 2.019437 O -0.907197 -1.571312 -0.185291 O 1.814394 0.000000 -0.185291 O -0.907197 1.571312 -0.185291 C -1.551232 2.686813 0.451794 C -1.551232 -2.686813 0.451794 C 3.102465 0.000000 0.451794 C -2.057580 3.563833 -0.766131 C -0.538142 3.489822 1.261570 H -0.189850 2.873293 2.100655 H 0.315673 3.790902 0.645330 H -1.016151 4.388839 1.667412 C -2.753203 2.210955 1.261570 H -3.292770 3.074432 1.667412 H -3.440854 1.622070 0.645330 H -2.393420 1.601062 2.100655 C 3.291345 1.278866 1.261570 H 3.125181 2.168832 0.645330 183 H 2.583270 1.272231 2.100655 H 4.308922 1.314407 1.667412 C 3.291345 -1.278866 1.261570 H 3.125181 -2.168832 0.645330 H 4.308922 -1.314407 1.667412 H 2.583270 -1.272231 2.100655 C 4.115160 0.000000 -0.766131 C -0.538142 -3.489822 1.261570 H 0.315673 -3.790902 0.645330 H -0.189850 -2.873293 2.100655 H -1.016151 -4.388839 1.667412 C -2.753203 -2.210955 1.261570 H -3.440854 -1.622070 0.645330 H -3.292770 -3.074432 1.667412 H -2.393420 -1.601062 2.100655 C -2.057580 -3.563833 -0.766131 F -2.690112 4.659410 -0.289558 F -1.025454 3.965301 -1.536715 F -2.921324 2.870720 -1.536715 F -2.690112 -4.659410 -0.289558 F -2.921324 -2.870720 -1.536715 F -1.025454 -3.965301 -1.536715 F 5.380223 0.000000 -0.289558 F 3.946778 -1.094581 -1.536715 F 3.946778 1.094581 -1.536715 184 APPENDIX D CALCULATED CARTESIAN COORDINATES FOR REACTANTS, STATIONARY POINTS, AND PRODUCTS IN CHAPTER 5 MeCN C 0.000000 0.000000 -1.182558 H 0.000000 1.031670 -1.567566 H 0.893452 -0.515835 -1.567566 H -0.893452 -0.515835 -1.567566 C 0.000000 0.000000 0.276768 N 0.000000 0.000000 1.448205 185 W2(OMe)6 W 1.170548 0.009984 0.020459 W -1.170326 -0.009859 -0.020614 O 1.672467 1.591869 -0.911332 O 1.699371 -1.588950 -0.866219 O 1.635088 0.039506 1.866035 O -1.699561 1.591061 0.861644 O -1.634878 -0.044593 -1.865837 O -1.672310 -1.589086 0.915279 C -1.017372 -2.664259 1.569806 H -1.356500 -2.710216 2.619670 H -1.290396 -3.612413 1.073968 H 0.080851 -2.547901 1.548589 C -0.951217 -0.057039 -3.109350 H -1.262813 -0.946136 -3.685288 H -1.225753 0.844495 -3.684911 H 0.144598 -0.079476 -2.972740 C -1.065609 2.696755 1.485750 H -1.386528 3.627900 0.986437 H -1.376746 2.744378 2.544200 H 0.035155 2.619941 1.435374 C 1.064119 -2.697222 -1.484385 H 1.365111 -3.624362 -0.965541 H -0.036419 -2.607340 -1.455034 H 1.393825 -2.764258 -2.536131 C 0.950710 0.056095 3.109072 H 1.242888 -0.831948 3.696777 H 1.244202 0.958910 3.673100 H -0.145279 0.055063 2.971919 C 1.017581 2.664856 -1.569415 H -0.081275 2.560306 -1.528352 H 1.308784 3.616331 -1.090590 H 1.339219 2.693857 -2.625392 186 F1 W -1.191804 -0.227844 -0.055979 W 1.153230 -0.162463 0.092286 O 1.671358 0.146563 1.929322 O 1.827675 0.135212 -1.712896 O -1.604352 -0.821752 1.734575 O 1.473864 -2.075728 0.112526 O -1.584613 -1.524339 -1.379507 O -1.681831 1.586795 -0.510984 N 1.046802 1.998017 0.065277 C 0.908397 3.158788 -0.008416 C -3.053562 1.877718 -0.781088 H -3.403766 2.667864 -0.092851 H -3.153128 2.240216 -1.819564 H -3.721624 0.999672 -0.662632 C 0.715683 4.596969 -0.089130 H 1.335135 5.114508 0.660947 H 1.003223 4.960982 -1.088292 H -0.342163 4.851047 0.084808 C 1.284578 0.757427 -2.853160 H 1.956964 0.589645 -3.714777 H 0.281822 0.358304 -3.102137 H 1.184862 1.851734 -2.704343 C 1.021293 0.670082 3.069304 H 0.058598 0.160297 3.244318 H 1.676412 0.535007 3.948992 H 0.831215 1.755355 2.946894 C -2.959682 -1.152749 2.047439 H -3.034539 -2.237535 2.237049 H -3.260510 -0.609475 2.960274 H -3.677620 -0.893965 1.240696 C -0.820458 -2.481925 -2.119330 H -1.485175 -3.325247 -2.372125 H -0.456630 -2.020428 -3.053050 H 0.039090 -2.830765 -1.526209 C 2.803381 -2.553628 0.283078 H 2.783831 -3.656856 0.314649 H 3.457285 -2.239762 -0.554809 H 3.238999 -2.184090 1.232102 187 F2 W -1.024514 -0.460906 -0.000041 W 1.257801 0.217014 -0.000057 O 1.815343 0.844655 1.731419 O 1.815255 0.845110 -1.731384 O -1.584426 0.009572 1.809494 O 2.301633 -1.399495 -0.000232 O -1.213470 -2.333229 -0.000138 O -1.584530 0.009930 -1.809449 N -0.120784 1.862613 0.000163 C -1.109195 2.521841 0.000423 C -2.865175 -0.442812 -2.244416 H -3.178713 0.162413 -3.113272 H -2.821515 -1.504713 -2.548382 H -3.647135 -0.343349 -1.462003 C -2.242156 3.429596 0.000526 H -2.865674 3.258740 0.893818 H -1.909793 4.482411 0.001562 H -2.864633 3.260156 -0.893763 C 1.156385 1.460951 -2.827025 H 1.772312 1.307826 -3.730485 H 0.154093 1.033211 -2.984298 H 1.064831 2.550346 -2.653601 C 1.156513 1.460265 2.827212 H 0.154612 1.031811 2.985023 H 1.772978 1.307834 3.730421 H 1.064017 2.549547 2.653572 C -2.864970 -0.443447 2.244501 H -2.821826 -1.506158 2.545718 H -3.177236 0.159788 3.115191 H -3.647567 -0.341380 1.463068 C -0.287779 -3.425263 -0.000389 H -0.475033 -4.040168 0.896203 H -0.474712 -4.039522 -0.897493 H 0.750855 -3.063447 -0.000090 C 3.725481 -1.380524 0.000212 H 4.095557 -2.419881 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-2.472611 -2.091249 H 0.003771 -2.816944 -0.593991 223 V17 W 1.661171 0.003878 -0.218118 W -1.891693 0.122820 0.030306 O -2.640741 -0.276471 -1.658641 O -2.211607 -1.247352 1.295089 O -0.231081 1.216290 0.151682 O 0.010834 -1.113916 -0.637754 O 2.438767 1.723882 -0.550358 O 2.804452 -1.106607 -1.250432 N -2.959678 1.328079 0.582702 C 2.138474 -0.379459 1.437983 C 3.895367 -1.953835 -0.935973 H 4.829098 -1.501422 -1.314820 H 3.980351 -2.104118 0.154230 H 3.755364 -2.928895 -1.434809 C 2.512958 -0.752383 2.822321 H 1.677661 -0.561602 3.520767 H 2.765194 -1.825327 2.903718 H 3.384445 -0.178328 3.186447 C -3.125684 -1.284787 2.387553 H -3.665236 -0.325608 2.473418 H -3.844172 -2.105788 2.224832 H -2.562309 -1.483589 3.314655 C -3.804201 0.251650 -2.289833 H -4.262601 1.035726 -1.662307 H -3.516478 0.671916 -3.267844 H -4.524782 -0.567424 -2.452602 C -0.141315 2.579532 0.614177 H 0.371321 3.175721 -0.154563 H -1.158443 2.956253 0.793031 H 0.446451 2.598344 1.545681 C 3.275082 2.598675 0.183228 H 2.810551 3.600101 0.246645 H 3.458136 2.216428 1.202642 H 4.240914 2.701900 -0.343122 C -0.025748 -2.539034 -0.583285 H -0.963315 -2.886965 -1.049684 H 0.828566 -2.956557 -1.143061 H 0.011006 -2.891758 0.462181 224 V18 W -1.682051 -0.000689 0.097138 W 1.958990 0.121550 -0.006676 O 2.294338 -0.730979 1.647379 O 2.513524 -0.908826 -1.500637 O 0.374219 1.292199 -0.102983 O -0.067335 -1.162282 -0.188229 O -2.283320 1.824849 0.118516 O -2.386937 -0.705971 1.702045 N 3.154117 1.332093 -0.002926 C -2.746216 -0.691359 -1.132148 C -3.506066 -1.520670 2.014704 H -4.268634 -0.911390 2.530747 H -3.941082 -1.957008 1.100091 H -3.180110 -2.327220 2.693730 C -3.622953 -1.232890 -2.198453 H -3.523900 -2.330209 -2.288714 H -4.688276 -1.017217 -1.997031 H -3.379720 -0.799653 -3.185329 C 3.644049 -0.739870 -2.351056 H 4.202804 0.171380 -2.075200 H 4.299385 -1.622410 -2.256490 H 3.296688 -0.665788 -3.395316 C 3.291185 -0.461072 2.629355 H 3.904096 0.407182 2.331011 H 2.793608 -0.257465 3.592224 H 3.932062 -1.351723 2.741621 C 0.386621 2.735215 -0.145308 H -0.243711 3.119307 0.668229 H 1.425068 3.082839 -0.044534 H -0.035654 3.064173 -1.107574 C -3.314313 2.513315 -0.560707 H -2.890275 3.365573 -1.124104 H -3.849546 1.847301 -1.260652 H -4.033412 2.913502 0.177185 C -0.081866 -2.494489 -0.702506 H 0.933410 -2.758132 -1.039989 H -0.401928 -3.197530 0.086163 H -0.781793 -2.564918 -1.551773 225 V19 W -1.687334 0.000007 -0.007903 W 1.946074 0.000009 -0.110931 O 2.316823 1.579875 0.868679 O 2.316778 -1.579980 0.868502 O 0.400499 0.000112 -1.291632 O -0.169168 -0.000064 1.225532 O -1.992763 -1.585353 -1.020256 O -1.992791 1.585490 -1.020057 N 3.199752 0.000057 -1.256285 C -3.060190 -0.000077 1.123611 C -3.020458 2.563140 -0.981380 H -3.549951 2.574457 -1.950690 H -3.741520 2.349959 -0.173506 H -2.569104 3.557561 -0.817731 C -4.198823 -0.000142 2.073541 H -4.186462 0.890532 2.728443 H -5.169001 -0.001193 1.542959 H -4.185259 -0.889832 2.729757 C 3.368641 -2.528242 0.713239 H 4.019989 -2.251811 -0.133946 H 3.960696 -2.561642 1.643584 H 2.927895 -3.523834 0.536889 C 3.368697 2.528140 0.713510 H 4.020044 2.251783 -0.133700 H 2.927963 3.523754 0.537255 H 3.960748 2.561444 1.643861 C 0.344844 0.000166 -2.725726 H -0.203346 0.899273 -3.048055 H 1.366900 0.000407 -3.134751 H -0.202950 -0.899145 -3.048158 C -3.020388 -2.563051 -0.981664 H -2.568972 -3.557485 -0.818266 H -3.741364 -2.350065 -0.173661 H -3.549989 -2.574195 -1.950916 C -0.097279 -0.000190 2.651877 H 0.452116 -0.898729 2.979120 H 0.452160 0.898265 2.979277 H -1.110918 -0.000198 3.081748 226 (MeO)3WCMe W -0.000258 0.000037 -0.248707 O 1.500502 -1.040565 -0.768057 O 0.150642 1.820952 -0.764658 O -1.653107 -0.778365 -0.765332 C 0.001260 -0.001682 1.519958 C -2.775316 -1.308819 -0.077486 H -2.641328 -1.234856 1.014956 H -3.680362 -0.750801 -0.374639 H -2.907503 -2.367885 -0.359843 C 0.252721 3.057783 -0.076384 H 0.236958 2.905511 1.016047 H 1.194676 3.556841 -0.363546 H -0.591372 3.706674 -0.368347 C 2.522205 -1.746492 -0.081231 H 3.505394 -1.338656 -0.374167 H 2.399168 -1.657039 1.011334 H 2.484345 -2.811721 -0.368722 C 0.003115 -0.003359 3.003124 H 0.927477 0.446523 3.408568 H -0.848302 0.571022 3.411031 H -0.068264 -1.029088 3.408092 (MeO)3WN W 0.000000 -0.000162 -0.072554 N -0.000038 -0.000005 1.619745 O 1.627772 -0.829696 -0.562716 O -0.095864 1.824221 -0.562790 O -1.532482 -0.994720 -0.562866 C -2.532077 -1.646586 0.215700 H -3.516818 -1.221651 -0.040967 H -2.532991 -2.721070 -0.032633 H -2.337862 -1.513339 1.293504 C 2.693023 -1.368126 0.215504 H 2.478299 -1.272064 1.293390 H 2.822349 -2.431748 -0.045518 H 3.622217 -0.826733 -0.028817 227 C -0.160528 3.016064 0.215446 H 0.703212 3.653652 -0.036752 H -1.087549 3.557093 -0.037734 H -0.148536 2.781364 1.293380 228 BIBLIOGRAPHY References for chapter 1 (1) Bryndza, H. E.; Tam, W. Chem. Rev. 1988, 88, 1163. (2) Roundhill, D. M. Chem. Rev. 1992, 92, 1. (3) Hartwig, J. F. Angew. Chem., Int. Ed. 1998, 37, 2047. (4) Nugent, W. A.; Mayer, J. M. Metal-Ligand Multiple Bonds; Wiley-Interscience: New York, 1998. (5) Hazari, N; Mountford, P. Acc. Chem. Res. 2005, 38, 839. (6) Eikey, R. A.; Abu-Omar, M. M. Coord. Chem. Rev. 2003, 243, 83. (7) Bell, N. A., J. Chem. Soc (A), 1966, 542. (8) Dermer, D. C.; Fernelius, W. C. Z. Anorg, Chem. 1935, 221, 83 (9) Bradley, D. C.; Chisholm, M. H. Acc. Chem. Res. 1976, 9, 273. (10) Ghotra, J. S.; Hursthouse, M. B.; Welch, A. J. Chem. Comm. 1973, 669. (11) Bradley, D. C.; Thomas, I. M. J. Chem. Soc. 1960, 3857. (12) Burger, H.; Wannagat, U. Monatsh, Chem. 1963, 94, 1007. (13) Burger, H.; Forker, C.; Goubeau, J. Monatsh, Chem. 1965, 96, 597. (14) Bradley, D. C.; Copperthwaite, R. G.. Chem. Comm. 1971, 765. 229 (15) Alyea, E. C.; Bradley, D. C.; Copperthwaite, R. G.. J. Chem. Soc., Dalton Trans. 1972, 1580. (16) Bradley, D. C.; Copperthwaite, R. G..; Cotton, S. A.; Gibson, J.; Sales, K. D. J. Chem. Soc., Dalton Trans. 1973, 191. (17) Cowdell, R. T.; Fowles, G. W. A. J. Chem. Soc. 1960, 2522. (18) Fowles, G.. W. A.; Pleass, C. M. J. Chem. Soc. 1957, 1674. (19) Edwards, D. A.; Fowles, G. W. A. J. Chem. Soc. 1961, 24. (20) Macgregor, S. A. Organometallics 2001, 20, 1860. (21) Hartwig, J. F. Angew. Chem. Int. Ed. 1998, 37, 2046. (22) Caulton, K. G.. New J. Chem. 1994, 18, 25. (23) Clifford, A. F.; Kobayashi, C. S., Abstracts, 130th National Meeting of the American Chemical Society, Atlantic City, NJ, Sept. 1956, P50R. (24) Nugent, W. A.; Haymore, B. L. Coord, Chem. Rev. 1980, 31, 123. (25) Wigley, D. E. Prog. Inorg. Chem. 1994, 42, 239. (26) Herisson J. L.; Chauvin,Y. Makromol. Chem. 1970, 141, 161. (27) Ivin, K. J. Ofefin Metathesis, Academic, New York, 1983. (28) Wengrovius, J. H.; Schrock, R. R.; Churchill, M. R.; Missert, J. R.; Youngs, W. J. J. Am. Chem. Soc. 1980, 102, 4515. (29) Churchill, M. R.; Rheingold, A. L.; Youngs, W. J.; Schrock, R. R. J. Organomet. Chem. 1981, 204, C17. (30) Wengrovius, J. H.; Schrock, R. R. Organometallics 1982, 1, 148. (31) Rocklage, S. M.; Schrock, R. R.; Chruchill, M. R.; Wasserman, H. J. Organometallics 1982, 1, 1332. 230 (32) Schrock. R. R.; DePue, R.; Feldman, J; Schaverien, C. J.; Dewan, J. C.; Liu, A. H. J. Am. Chem. Soc. 1988, 110, 1423. (33) Schrock, R. R.; Hoveyda, A. H. Angew, Chem. Int. Ed. 2003, 42, 4592. (34) Bochmann, M. J. Chem. Soc. Dalton Trans. 1996. 255. (35) Alt, H. G.; Koppl, A. Chem. Rev. 2000, 100, 1205. (36) Coates, G. W. Chem. Rev. 2000, 100, 1223. (37) Resconi, L.; Cavallo, L.; Fait, A.; Piemontesi, F. Chem. Rev. 2000, 100, 1253. (38) McKnight, A. L.; Waymouth, R. M. Chem. Rev. 1998, 98, 2587. (39) Hoffmann, R. Angew. Chem. Int. Ed. 1982, 21, 711. (40) Gade, L. H.; Mountford, P. Coord. Chem. Rev. 2001, 216-217, 65. (41) Duncan, A. P.; Bergman, R. G. Chem. Rec. 2002, 2, 431. (42) Eikey, R. A.; Abu-Omar, M. M. Coord. Chem. Rev. 2003, 243, 83. (43) Moubaraki, B.; Murray, K. S.; Nichols, P. J.; Thomson, S.; West, B. O. Polyhedron 1994, 13, 485. (44) Leung, W.-H.; Wu, W.-C.; Wang, Y. J. Chem. Soc. Dalton Reans. 1994, 1659. (45) Perez, P. J.; White, P. S.; Brookhart, M.; Templeton, J. L. Inorg. Chem. 1994, 33, 6050. (46) Glueck, D. S.; Hollander, F. J.; Bergman, R. G. J. Am. Chem. Soc. 1989, 111, 2719. (47) Polse, J. L.; Andersen, R. A.; Bergman, R. G. J. Am. Chem. Soc. 1998, 120, 13405. (48) Cundari, T. R.; Klinckman, T. R.; Wolczanski, P. T. J. Am. Chem. Soc. 2002, 124, 1481. (49) Hanna, T. E.; Keresztes, I.; Lobkovsky, E.; Bernskoetter, W. H.; Chirik, P. J. Organometallics 2004, 23, 3448. 231 (50) Mountford, P. J. Organomet. Chem. 1997, 528, 15. (51) Ward, B. D.; Maisse-Francois, A.; Mountford, P.; Gade, L. H. Chem. Commun. 2004, 704. (52) Pugh, S. M.; Tro¨ sch, D. J. M.; Wilson, D. J.; Bashall, A.; Cloke, F.G. N.; Gade, L. H.; Hitchcock, P. B.; McPartlin, M.; Nixon, J. F.; Mountford, P. Organometallics 2000, 19, 3205. (53) Guiducci, A. E.; Cowley, A. R.; Skinner, M. E. G.; Mountford, P. Dalton Trans. 2001, 1392. (54) Cloke, G. N.; Hitchcock, P. B.; Nixon, J. F.; Wilson, P. J.; Mountford, P. Chem. Commun. 1999, 661. (55) Bytschkov, I.; Doye, S. Eur. J. Org. Chem. 2003, 935. (56) Pohlki, F.; Doye, S. Chem. Soc. Rev. 2003, 32, 104. (57) Odom, A. L. Dalton Trans. 2005, 225. (58) McGrane, P. L.; Jensen, M.; Livinghouse, T. J. Am. Chem. Soc. 1992, 114, 5459. (59) McGrane, P. L.; Livinghouse, T. J. Am. Chem. Soc. 1993, 115, 11485. (60) Fritzsche, j.; Struve, H. Prakt. Chem. 1847, 41, 97. (61) Werner, A.; Dinklage, K. Chem. Ber. 1901, 34, 2698. (62) Chatt, J.; Garforth, J. D.; Rowe, G. A. Chem. Ind. 1963, 332. (63) Chatt, J.; Garforth, J. D.; Rowe, G. A. J. Chem. Soc. A 1966, 1834. (64) Belmonte, P. A.; Own, Z.-Y. J. Am. Chem. Soc. 1984, 106, 7493. (65) Toth, L. E. “Transition Metal Cardides and Nitrides” Academic, New York, 1971. (66) Dehnicke, L.; Strahle, J. Angew, Chem. Int. Ed. Engl. 1992, 31, 955. (67) Holm, R. H. Chem. Rev. 1987, 87, 1401. 232 (68) Woo. L. K. Chem. Rev. 1993, 93, 1125. (69) Woo, L. K.; Goll, J. G. J. Am. Chem. Soc. 1989, 111, 3755. (70) Woo, L. K.; Goll, J. G.; Czapla, D. J.; Hays, J. A. J. Am. Chem. Soc. 1991, 113, 8478. (71) Chang, C. J.; Low, D. L.; Gray, H. B. Inorg. Chem. 1997, 36, 270. (72) Neely, F. L.; Bottomley, L. A. Inorg. Chem. 1997, 36, 5432. (73) Bottomley, L. A.; Neely, F. L. J. Am. Chem. Soc. 1989, 111, 5955. (74) Bendix, J. J. Am. Chem. Soc. 2003, 125, 13348. (75) Kemp, J. E. G. In Comprehensive Organic Synthesis; Ley, S. V., Ed.; Pergamon: Oxford, U.K., 1991; Vol. 7, p469. (76) Goves, J. T.; Takahashi, T. J. Am. Chem. Soc. 1983, 105, 2073. (77) Bois, J. D.; Tomooka, C. S.; Hong, J.; Carreira, E. M. Acc. Chem. Res. 1997, 30, 364. (78) Burgess B. K.; Lowe, D. J. Chem. Rev. 1996, 96, 2983. (79) Sellmann, D.; Sutter, J. Acc. Chem. Res. 1997, 30, 460. (80) Smil, V., Entriching the Earth. MIT Press: Cambridge, MA, 2001. (81) Mayer, A.; Hoffmeister, H. Adv. Organomet. Chem. 1991, 32, 227. (82) Chatt, J.; Dilworth, J.; Raymond, R. L. Chem. Rev. 1978, 78, 589. (83) Chatt, J.; Pearman, A. J.; Richards, R. L. J. Chem. Soc., Dalton Trans. 1977, 1852. (84) Yandulov, D. V.; Schrock, R. R. Science 2003, 301, 76. (85) Laplaza, C. E.; Cummins, C. C. Science 1995, 268, 861. (86) Shish, K.-Y.; Schrock Richard, R.; Kempe, R. J. Am. Chem. Soc 1994, 116, 8804. 233 (87) Schrock, R. R.; Listemann, M. L.; Strugeoff, L. G. J. Am. Chem. Soc. 1982, 104, 4291. (88) Chisholm, M. H.; Delbridge, E. E.; Kidwell, A. R.; Quinlan, K. B. Chem. Commun, 2003 126. (89) Burroughs, B. A. M.S. Thesis, The Ohio State University, 2005. (90) Gdula, R. L.; Johnson, M. J. A. J. Am. Chem. Soc. 2006, 128, 9614. (91) Geyer, A. M.; Gdula, R. L.; Wiedner, E. S.; Johnson, M. J. A. J. Am. Chem. Soc. 2007, 129, 3800. (92) Geyer, A. M.; Wiedner, E. S.; Gary, J. B.; Gdula, R. L.; Kuhlmann, N. C,; Johnson, M. J. A.; Dunietz, B. D.; Kampf, J. W. J. Am. Chem. Soc. 2008, 130, 8984. (93) Schrock, R. R.; Listemann, M. L.; Sturgeoff, L. G. J. Am. Chem. Soc. 1982, 104, 4291. References for chapter 2 (1) E. L. Muetterties, Chem. Soc. Rev. 1983, 12, 283. (2) R. G. Bergman, Science 1984, 223, 902. (3) R. H. Crabtree, Chem. Rev. 1985, 85, 245. (4) D. M. Roundhill, Chem. Rev. 1992, 92, 1. (5) D. G. Musaev, K. Morokma, J. Am. Chem. Soc. 1995, 117, 799. (6) K. K. Jespersen, M. Czerw, K. Zhu, B. Singh, M. Kanzelberger, N. Darji, P. D. Achord, K. B. Renkema, A. S. Goldman, J. Am. Chem. Soc. 2002, 124, 10797. (7) A. C. Sykes, P. White, M. Brookhart, Organometallics 2006, 25, 1664. (8) A. L. Casalnuovo, J. C. Calabese, D. Milstein, Inorg. Chem. 1987, 26, 973. 234 (9) S. Park, D. M. Roundhill, A. L. Rheingold, Inorg. Chem. 1987, 26, 3972. (10) G. L. Hillhouse, J. E. Bercaw, J. Am. Chem. Soc. 1984, 106, 5472. (11) J. Zhao, A. S. Goldman, J. F. Hartwig, Science, 2005, 307, 1080. (12) (a) E.J. Baerends, D.E. Ellis, P. Ros, Chem. Phys. 1973, 2, 41. (b) E.J. Baerends, P. Ros, Chem. Phys. 1973, 2, 52. (c) G. teVelde, E.J. Baerends, J. Comput. Phys. 1992, 99, 84. (d) C.G. Fonseca, O. Visser, J.G. Snijders, G. teVelde, E.J. Baerends, in Methods and Techniques in Computational Chemistry, METECC-95, ed. E. Clementi and G. Corongiu, STEF, Cagliara, Italy, 1995, pg. 305. (13) W. Ravenek, in Algorithms and Applications on Vector and Parallel Computers, ed. H.J.J. teRiele, T.J. Dekker and H.A. van deHorst, Elsevier, Amsterdam, 1987. (14) P.M. Boerrigter, G. teVelde, E.J. Baerends, Int. J. Quantum Chem. 1998, 87. (15) L. Verslius, T. Ziegler, J. Chem. Phys. 1998, 88, 322. (16) H. Vosko, L. Wilk, M. Nusair, Can. J. Phys. 1980, 58, 1200. (17) P. Perdew, Phys. Rev. B. 1992, 46, 6671. (18) E. VanLenthe, A.E. Ehlers, E.J. Baerends, J. Chem. Phys. 1999, 110, 8943. (19) (a) L. Fan, T. Ziegler, J. Chem. Phys. 1992, 96, 9005. (b) L. Fan, T. Ziegler, J.Am. Chem. Soc. 1992, 114, 10890. (20) P. Flükiger, H. P. Lüthi, S. Portmann, J. Weber, Swiss Center for Scientific Computing, Manno (Switzerland), 2000. (21) M. Kanzeleberger, X. Zhang, T. J. Emge, A. S. Goldman, J. Zhao, C. Incarvito, J. F. Hartwig, J. Am. Chem. Soc. 2003, 125, 13644. (22) M. L. Drummond, Ph.D. Dissertation, The Ohio State University, 2005. (23) E. J. Palmer, Ph.D. Dissertation, The Ohio State University, 2005. (24) C. M. Brett, Ph.D. Dissertation, The Ohio State University, 2005. 235 (25) J. L. Sonnenberg, Ph.D. Dissertation, The Ohio State University, 2005. (26) B. F. Gherman, C. J. Cramer, Inorg. Chem. 2004, 43, 7281. References for chapter 3 (1) (a). Grubbs, R. H. Advanced Synthesis and Catalysis 2007, 349, 34 (b). Bielawski, C. W.; Grubbs, R. H. Progr. Polymer Sci. 2007, 32, 1 (c). Grubbs, R. H. Prix Nobel 2006, 194 (d). Schrock, R. R; Czekelius, C. Advanced Synthesis and Catalysis 2007, 349, 55 (e). Schrock, R. R. Advanced Synthesis and Catalysis 2007, 349, 41 (f). Schrock, R. R. Prix Nobel 2006, 216. (2) Pennella, F.; Banks, R. L.; Bailey, G. C. Chem. Commun. 1968, 1548. (3) Katz, T. J.; McGinnis, J. J. Am. Chem. Soc. 1975, 97, 1592. (4) Wengrovius, J. H.; Sancho, J. Schrock, R. R. J. Am. Chem. Soc. 1981, 103, 3932. (5) Schrock, R. R. Chem. Rev. 2002, 102, 145. (6) Chisholm, M. H.; Delbridge, E. E.; Kidwell, A. R.; Quinlan, K. R. Chem. Commun. 2003, 126. (7) Gdula, R. L.; Johnson, M. J. A.; Ockwig, N. W. Inorg. Chem. 2005, 44, 9140. (8) Gdula, R. L.; Johnson, M. J. A. J. Am. Chem. Soc. 2006, 128, 9614. (9) Chan, D. M.-T.; Chisholm, M. H.; Folting, K.; Huffman, J. C.; Marchant, N. S. Inorg. Chem. 1986, 25, 4170. (10) (a). Chisholm, M. H.; Extine, M. W. J. Am. Chem. Soc. 1975, 97, 5625 (b). Chisholm, M. H.; Gallucci, J. C.; Hollandsworth, C. B. Polyhedron 2006, 25, 827. (11) Chisholm, M. H.; Hoffman, D. M.; Huffman, J. C. Inorg. Chem. 1983, 22, 2903. (12) Chisholm, M. H.; Folting, K.; Huffman, J. C.; Leonelli, J.; Marchant, N. S.; Smith, C. A.; Taylor, L. C. E. J. Am. Chem. Soc. 1985, 107, 3722. 236 (13) Chisholm, M. H.; Folting, K.; Huffman, J. C.; Kober, E. M. Inorg. Chem. 1985, 24, 241. (14) Chisholm, M. H.; Folting, K.; Pasterczyk, J. W. Inorg. Chem. 1988, 27, 3057. (15) Chisholm, M. H.; Davidson, E. R.; Quinlan, K. B. J. Am. Chem. Soc. 2002, 124, 15351. (16) Cherry, J.-P. F.; Johnson, A. R.; Baraldo, L. M.; Tsai, Y.-C.; Cummins, C. C.; Kryatov, S. V.; Rybak-Akimova,E. V.; Capps, K. B.; Hoff, C. D.; Harr, C. M.; Nolan, S. P. J. Am. Chem. Soc. 2001, 123, 7271 (17) Weingrovius, J. H.; Sancho, J.; Schrock, R. R. J. Am. Chem. Soc. 1981, 103, 3932. (18) Chisholm, M. H.; Folting, K.; Lynn, M. L.; Tiedtke, D. B.; Lemiogno, F.; Eisenstein, O. Chem. A. Eur. J. 1999, 5, 2318. (19) Parkin, I. P.; Folting, K. J. Chem. Soc. Dalton Trans. 1992, 2343. (20) Chirchill, M. R.; Ziller, J. W.; Freudenberger, J. H.; Schrock, R. R. Organometallics 1984, 3, 1554. (21) Bursten, B. E. J. Am. Chem. Soc. 1983, 105, 121. (22) Woo, J.; Folga, E.; Ziegler, T. Organometallics 1993, 12, 1289. (23) Lin, Z.; Hall, M. B. Organometallics 1994, 12, 2878. (24) Sheng, Y.-H.; Wu, Y.-D. J. Am. Chem. Soc. 2001, 123, 6662. (25) Guochen, J. Z.; Lin, Z. Organometallics 2006, 25, 1812. (26) Cummins, C. C. Chem. Commun. 1998, 1778. (27) Laplaza, C. E.; Johnson, M. J. A.; Peters, J.; Odom, A. L.; Kim, E.; Cummins, C. C.; George, G. N.; Pickering, I. J. J. Am. Chem. Soc. 1996, 118, 8623. (28) Laplaza, C. E.; Johnson, A. R.; Cummins, C. C. J. Am. Chem. Soc. 1996, 118, 709. 237 (29) Laplaza, C. E.; Cummins, C. C. Science (Washington D. C.) 1995, 268, 861. (30) (a). Chiu, H.-T.; Chen, Y.-P.; Chuang, S.-H.; Jen, J.-S.; Lee, G.-H.; Peng, S.-M. Chem. Commun. 1996, 139 (b). Fickes, M.G.; Davis, E.M.; Cummins, C. C. J. Am. Chem. Soc. 1995, 117, 6384. (31) Alyea, E. C.; Basi, J. S.; Bradley, D. C. J. Chem. Soc. A. 1971, 772. (32) Chisholm, M. H.; Cotton, F. A.; Extine, M. W.; Stultz, B. R. J. Am. Chem. Soc. 1976, 98, 4477. (33) Strutz, H.; Schrock, R. R. Organometallics 1984, 3, 1600. (34) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Montgomery, J. A.; Vreven, T., Jr.; Kudin, K. N.; Burant J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.; Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li, X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Zakrewski, V. G.; Dapprich, S.; Daniels, A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.; Fresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu, G. Liashenko, A.; Piskorz, P.; Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.; Challocombe, M.; Gill, P. M. W.; Johnson, B.; Chen, W.; Wong, M. W.; Gonzalez, C.; Pople, J. A. Gaussian 03, Revision C.02, Gaussian, Inc., Wallingford CT, 2004. (35) (a). Burke, K.; Perdew, J. P.; Wang, Y. in Electronic Density Functional Theory: Recent Progress and New Directions, Ed. J. F. Dobson, G. Vignale, and M. P. Das (Plenum, 1998), pp. 81-111 (b). Perdew, J. P. in Electronic Structure of Solids ’91, Ed. P. Ziesche and H. Eschrig (Akademie Verlag, Berlin, 1991), p. 11 (c). Perdew, J. P.; Chevary, J. A.; Vosko, S. H.; Jackson, K. A.; Pederson, M. R.; Sing, D. J.; Fiolhais, C. Phys. Rev. B: Condens. Matter 1992, 46, 6671 (d). Perdew, J. P.; Chevary, J. A.; Vosko, S. H.; Jackson, K. A.; Pederson, M. R. Singh, D. J.; Fiolhais, C. Phys. Rev. B: Condens. Matter 1993, 48, 4978 (e). Perdew, J. P.; Burke, K.; Wang, Y. Phys. Rev. B: Condens. Matter 1996, 54, 1653. 238 (36) (a) Hay, P. J.; Wadt, W. R. J. Chem. Phys. 1985, 82, 270. (b) Wadt, W.R.; Hay, P. J. J. Chem. Phys. 1985, 82, 284. (c) Hay, P. J.; Wadt, W. R. J. Chem. Phys. 1985, 82, 299. (37) (a). Huzinaga, S. Gaussian Basis Sets for Molecular Calculations; Elsevier Science Pub. Co.: Amsterdam; 1984 (b). Ehlers, A. W.; Bohme, M.; Dapprich, S.; Gobbi, A.; Hollwarth, A.; Jonas, B.; Kohler, K. F.; STegmann, R.; Veldkamp, A.; Frenking, G. Chem. Phys. Lett. 1993, 208, 111. (38) (a). Ditchfield, R.; Hehre, W. J.; Pople, J. A. J. Chem. Phys. 1971, 54, 724. (b). Hehre, W. J.; Ditchfield, R.; Pople, J. A. J. Chem. Phys. 1972, 56, 2257. (c). Hariharan, P. C.; Pople, J. A. Mol. Phys. 1974, 27, 209. (d). Gordon, M. S. Chem. Phys. Lett. 1980, 76, 163. (e). Hariharan, P. C.; Pople, J. A. Theor. Chim. Acta 1973, 28, 213. (39) Andrae, D.; Hauessermann, U.; Dolg, M.; Preuss, H. Theor, Chim. Acta 1990, 77, 123. (40) Dunning, T.H., Jr. J. Chem. Phys. 1989, 90, 1007 (41) (a). Fukui, K. J. Phys. Chem. 1970, 74, 4161 (b). Fukui, K. Acc. Chem. Res. 1981, 14, 363. References for chapter 4 (1) Caulton, K. G,; Chisholm, M. H.; Doherty, S.; Folting, K. Organometallics 1995, 14, 2585. (2) Blau, R. J.; Chisholm, M. H.; Eichorn, B. W.; Huffman, J. C.; Kramer, K. S.; Lobkowsky, E. B.; Streib, W. E. Organometallics 1995, 14, 1855. (3) Baxter, D. V.; Chisholm, M. H.; Distasi, V. F.; Haubrick, S. T. Chemistry of Materials 1995, 7, 84. (4) Chisholm, M. H.; Foltingstreib, K.; Tiedtke, D. B.; Lemoigno, F.; Eisenstein, O. Angew Chem Int Edit 1995, 34, 110. 239 (5) Mayer, J. M.; Nugent, W. A. Metal-Ligand Multiple Bonds: the Chemistry of Transition Metal Complexes Containing Oxo, Nitrido, Imido, Alkylidene, or Alkylidyne Ligands; John Wiley & Sons: New York, 1988. (6) Wang, X.; Andrews, L.; Lindh, R.; Veryazov, V.; Roos, B. O. J. Phys. Chem. A 2008, 112, 8030. (7) (a) Burroughs, B. A.; Bursten, B. E.; Chen, S.; Chisholm, M. H.; Kidwell, A. R. Inorg. Chem. 2008, 47, 5377. (b) Chisholm, M. H.; Delbridge, E. E.; Kidwell, A. R.; Quinlan, K. R. Chem. Commun. 2003, 126. (8) (a) Geyer, A. M.; Wiedner, E. S.; Gary, J. B.; Gdula, R. L.; Kuhlmann, N. C.; Johnson, M. J. A.; Dunietz, B. D.; Kampf, J. W. J. Am. Chem. Soc. 2008, 130, 8984. (b) Gdula, R. L.; Johnson, M. J. A. J. Am. Chem. Soc. 2006, 128, 9614. (c) Gdula, R. L.; Johnson, M. J. A.; Ockwig, N. W. Inorg. Chem. 2005, 44, 9140. (9) Cherry, J.-P. F.; Johnson, A. R.; Baraldo, L. M.; Tsai, Y.-C.; Cummins, C. C.; Kryatov, S. V.; Rybak-Akimova,E. V.; Capps, K. B.; Hoff, C. D.; Harr, C. M.; Nolan, S. P. J. Am. Chem. Soc. 2001, 123, 7271 (10) Bendix, J. J. Am. Chem. Soc. 2003, 125, 13348. (11) Woo, K. L.; Goll, G. J.; Czapla, D. J.; Hays, A. J. J. Am. Chem. Soc. 1991, 113, 8478. (12) (a) Wong, T.-W.; Lau, T.-C.; Wong, W.-T. Inorg. Chem. 1999, 38, 6181. (b) Chiu, S.-M.; Wong, T.-W.; Man, W.-T.; Wong, W.-T.; Peng, S.-M.; Lau, T.-C. J. Am. Chem. Soc. 2001, 123, 12720. (c) Chan, P.-M.; Yu, W.-Y.; Che, C.-M.; Cheung, K.-K. J. Chem. Soc. Dalton Trans. 1998, 3183. (13) Crevier, T.J.; Bennett, B.K.; Soper, J.D.; Bowman, J.A.; Dehestani, A.; Hrovat, D.A.; Lovell, S.; Kaminsky, W.; Mayer, J.M. J. Am. Chem. Soc. 2001, 123, 1059. (14) Maestri, A.G.; Cherry, K.S.; Toboni, J.J.; Brown, S.N. J. Am. Chem. Soc. 2001, 123, 7459. (15) Huynh, M.V.; White, P.S.; Meyer, T.J. J. Am. Chem. Soc. 2001, 123, 9170. (16) Chui, H. T.; Chen, Y. P.; Chuang, S. H.; Jen, J. S.; Lee, G. H.; Peng, S. M. Chem. Commun. 1996, 139. 240 (17) Chan, D. M. T.; Chisholm, M. H.; Folting, K.; Huffman, J. C.; Marchant, N. S. Inorg. Chem. 1986, 25, 4170. (18) Schrock, R. R.; Listemann, M. L.; Sturgeoff, L. G. J. Am. Chem. Soc. 1982, 104, 4291. (19) All % characters are from ADF2007.01 geometry optimizations. (20) Sanderson, R. T. Simple Inorganic Substances; Krieger: Malabar, FL, 1989. (21) Onset of ionization (*) = ionization energy at which the amplitude is 10% of the maximum amplitude of the lowest energy Gaussian peaks used to fit each spectrum. (22) Yeh, J.J.; Lindau, I. Atomic Data and Nuclear Data Tables 1985, 32, 1. (23) Green, J. C. Acc. Chem. Res. 1994, 27, 131. (24) Chisholm, M. H.; Hoffman, D. M.; Huffman, J. C. Inorg. Chem. 1983, 22, 2903. (25) Samuels, J. A.; Lobkovsky, E. B.; Folting, K.; Huffman, J. C.; Zwanziger, J. W.; Caulton, K. G. J. Am. Chem. Soc. 1993, 115, 5093. (26) Dilworth, J. R.; Richards, R. L. Inorg. Synth. 1980. 20. 119. (27) Allen, E. A.; Brisdon, B. J.; Fowles, G. W. A. J. Chem. Soc. 1964, 4531. (28) Chisholm, M. H.; Cotton, F. A.; Murillo, C. A.; Reichert, W. W. Inorg. Chem. 1977, 16, 1801. (29) Akiyama, M.; Chisholm, M. H.; Cotton, F. A.; Extine, M. W.; Haitko, D. A.; Little, D.; Fanwick, P. E. Inorg. Chem. 1979, 18, 2266. (30) Lichtenberger, D. L.; Kellogg, G. E.; Kristofzski, J. G.; Page, D.; Turner, S.; Klinger, G.; Lorenzen, J. Rev. Sci. Instrum. 1986, 57, 2366. (31) Turner, D. W.; Baker, C.; Baker, A. D.; Brundle, C. R. Molecular Photoelectron Spectroscopy; Wiley-Interscience: New York, 1970. (32) Lichtenberger, D. L.; Copenhaver, A. S. J. Electron. Spectrosc. Relate. Phenom. 1990, 50, 335. 241 (33) ADF2007.01; SCM, Theoretical Chemistry, Vrije Universiteit: Amsterdam, The Netherlands; http://www.scm.com. (34) (a) Baerends, E. J.; Ellis, D. E.; Ros, P. Chem. Phys. 1973, 2, 41. (b) te Velde, G.; Baerends, E. J. J. Comput. Phys. 1992, 99, 84. (c) Fonseca Guerra, C.; Snijders, J. G.; te Velde, G.; Baerends, E. J. Theor. Chim. Acc. 1998, 99, 391. (d) Bickelhaupt, F. M.; Baerends, E. J. ReV. Comput. Chem. 2000, 15, 1. (e) te Velde, G.; Bickelhaupt, F. M.; Fonseca Guerra, C.; van Gisbergen, S. J. A.; Baerends, E. J.; Snijders, J. G.; Ziegler, T. J. Comput. Chem. 2001, 22, 931. (35) Boerrigter, P.M.; teVelde, G.; Baerends, E.J. Int. J. Quantum Chem. 1998, 87. (36) Verslius, L.; Ziegler, T. J. Chem. Phys. 1998, 88, 322. (37) Vosko, H.; Wilk, L.; Nusair, M. Can. J. Phys. 1980, 58, 1200. (38) Perdew, P. Phys. Rev. B. 1992, 46, 6671. (39) VanLenthe, E.; Ehlers, A.E.; Baerends, E.J. J. Chem. Phys. 1999, 110, 8943. (40) (a) Fan, L.; Ziegler, T. J. Chem. Phys. 1992, 96, 9005. (b) Fan, L.; Ziegler, T. J.Am. Chem. Soc. 1992, 114, 10890. (41) (a) MOLEKEL4.3: P. Flükiger, H. P. Lüthi, S. Portmann, J.Weber, Swiss Center for Scientific Computing, Manno, Switzerland,2000–2002; (b) S. Portmann, H. P. Lüthi, Chimia 2000, 54,766. References for chapter 5 (1) Schrock, R. R. Chem. Rev. 2002, 102, 145. (2) Bunz, U. H. F. Acc. Chem. Res. 2001, 34, 998. (3) Chisholm, M. H.; Delbridge, E. E.; Kidwell, A. R.; Quinlan, K. R. Chem. Comm. 2003, 126. (4) Geyer, A. M.; Wiedner, E. S.; Gary, J. B.; Gdula, R. L.; Kuhlmann, N. C,; Johnson, M. J. A.; Dunietz, B. D.; Kampf, J. W. J. Am. Chem. Soc. 2008, 130, 8984. 242 (5) Chisholm, M. H.; J. Chem. Soc., Dalton Trans. 1996, 1781. (6) Schrock, R. R.; Listemann, M. L.; Strugeoff, L. G. J. Am. Chem. Soc. 1982, 104, 4291. (7) Listermann, M. L.; Schrock, R. R. Organometallics 1985, 4, 74. (8) Chisholm, M. H.; Folting, K.; Hoffman, D. M.; Huffman, J. C. J. Am. Chem. Soc. 1984, 106, 6794. (9) Chisholm, M. H.; Conroy, B. K.; Folting, K.; Hoffman, D. M.; Huffman, J. C. Organometallics 1986, 5, 2457. (10) Eglin, J. L.; Hines, E. M.; Valente, E. J.; Zubkowski, J. D. Inorg. Chem. Acta 1995, 229, 113. (11) Chisholm, M. H.; Davidson, E. R.; Quinlan, K. B. J. Am. Chem. Soc. 2002, 124, 15351. (12) Chisholm, M. H.; Kelly, R. L. Inorg. Chem. 1979, 18, 2321. (13) Chisholm, M. H.; Huffman, J. C.; Marchant, N. S. J. Am. Chem. Soc. 1983, 105, 6162. (14) Chisholm, M. H.; Huffman, J. C.; Marchant, N. S. Organometallics. 1987, 6, 1073. (15) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Montgomery, J. A.; Vreven, T., Jr.; Kudin, K. N.; Burant J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.; Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li, X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Zakrewski, V. G.; Dapprich, S.; Daniels, A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.; Fresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu, G. Liashenko, A.; Piskorz, P.; Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.; Challocombe, M.; Gill, P. M. W.; Johnson, B.; Chen, W.; Wong, M. W.; Gonzalez, C.; Pople, J. A. Gaussian 03, Revision C.02, Gaussian, Inc., Wallingford CT, 2004. 243 (16) Burke, K.; Perdew, J. P.; Wang, Y. in Electronic Density Functional Theory: Recent Progress and New Directions, Ed. J. F. Dobson, G. Vignale, and M. P. Das (Plenum, 1998), pp. 81-111. (17) Perdew, J. P. in Electronic Structure of Solids ’91, Ed. P. Ziesche and H. Eschrig (Akademie Verlag, Berlin, 1991), p. 11. (18) Perdew, J. P.; Chevary, J. A.; Vosko, S. H.; Jackson, K. A.; Pederson, M. R.; Sing, D. J.; Fiolhais, C. Phys. Rev. B: Condens. Matter 1992, 46, 6671. (19) Perdew, J. P.; Chevary, J. A.; Vosko, S. H.; Jackson, K. A.; Pederson, M. R. Singh, D. J.; Fiolhais, C. Phys. Rev. B: Condens. Matter 1993, 48, 4978. (20) Perdew, J. P.; Burke, K.; Wang, Y. Phys. Rev. B: Condens. Matter 1996, 54, 1653. (21) Hay, P. J.; Wadt, W. R. J. Chem. Phys. 1985, 82, 270. (22) Wadt, W.R.; Hay, P. J. J. Chem. Phys. 1985, 82, 284. (23) Hay, P. J.; Wadt, W. R. J. Chem. Phys. 1985, 82, 299. (24) Ditchfield, R.; Hehre, W. J.; Pople, J. A. J. Chem. Phys. 1971, 54, 724. (25) Hehre, W. J.; Ditchfield, R.; Pople, J. A. J. Chem. Phys. 1972, 56, 2257. (26) Hariharan, P. C.; Pople, J. A. Mol. Phys. 1974, 27, 209. (27) Gordon, M. S. Chem. Phys. Lett. 1980, 76, 163. (28) Hariharan, P. C.; Pople, J. A. Theor. Chim. Acta 1973, 28, 213. (29) Fukui, K. J. Phys. Chem. 1970, 74, 4161. (30) Fukui, K. Acc. Chem. Res. 1981, 14, 363. (31) Wilson, S. R.; Huffman, J. C. J. Org. Chem. 1980, 45, 560. (32) Eglin, J. L.; Hines, E. M.; Valente, E. J.; Zubkowshi, J. D. Inorg. Chem. Acta 1995, 229, 113. 244 (33) Cotton, F. A.; Kuhn, F. E. J. Am. Chem. Soc. 1996, 118, 5826. (34) Budzichowski, T. A.; Chisholm, M. H.; Folting, K. Chem. Eur. J. 1996, 2, 110. 245