Fluorophosphonium Chemistry: Applying Strategies Learned from Boron to Phosphorus
by
Shawn William Postle
A thesis submitted in conformity with the requirements for the degree of Doctor of Philosophy
Department of Chemistry University of Toronto
Fluorophosphonium Chemistry: Applying Strategies Learned from Boron to Phosphorus
Shawn William Postle
Doctor of Philosophy
Department of Chemistry University of Toronto
Abstract
Since the inception of frustrated Lewis pair chemistry, interest in main group catalysts has undergone a resurgence. Central to the success of many main group systems is the pentafluorophenyl substituent, which provides both chemical stability and electrophilicity to the catalyst. Pentafluorophenyl substituents have been used with boranes, alanes, and recently in fluorophosphonium cations. This thesis investigates a range of related aryl substituents applied to fluorophosphonium chemistry to elicit new catalyst properties. Nitrene insertion into the bonds of borane substituents, including perfluorophenyl groups, was used to tune the electrophilicity of main group systems. Sterically demanding pentachlorophenyl substituents were used to add protection to sensitive fluorophosphonium catalysts. Perfluorobiphenyl groups were used to generate more electrophilic fluorophosphonium catalysts. Binaphthyl substituents were employed to create chiral fluorophosphonium cations.
ii
This work is dedicated in memory of my grandpa,
William Kerr, for instilling in me a genuine curiosity of the world.
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Acknowledgements
First and foremost, I would like to thank Prof. Doug Stephan for providing me with this experience. By providing me with the freedom to pursue my own interests and offering insightful guidance whenever it was sought, you have helped me become a better chemist. I would like to thank my committee members, Prof. Bob Morris and Prof. Ulrich Fekl, for their enthusiasm and encouragement. I am grateful to Prof. Datong Song and my external examiner Prof. Chuck Macdonald for providing me with invaluable feedback. I am also extremely thankful to Dr. Barb Morra for her mentorship and collaboration. Additionally, I would like to thank my undergraduate supervisor Prof. Peter Legzdins for setting me upon this path.
I have been incredibly fortunate to have worked alongside such a fantastic group of labmates, both past and present. I am grateful to Dr. Gab Menard for taking the time to get me situated in the lab. Vitali Podgorny, it was a pleasure to collaborate with you on our perchloroaryl chemistry. James LaFortune, I couldn’t ask for a better desk or gym partner. Tim Johnstone, you have been incredibly generous with your time and expertise, for which I am incredibly appreciative. I would also like to thank Julia Bayne, Louie Fan, James LaFortune, Eliar Mosaferi and Kevin Szkop for editing chapters of my thesis. I’m also indebted to our group’s fantastic evolving crystallography team over the years for providing me with some colour to break up the text herein.
I am grateful to Darcy Burns, Sergiy Nokhrin, and Jack Sheng from the NMR department for fixing our spectrometer, helping me with difficult experiments, and fixing our spectrometer. I would like to thank Matthew Forbes, Fung Chung Woo, and Michelle Young of the AIMS lab for all their effort in finding just the right method for my compounds. I would like to thank Rose Balazs and the rest of the ANALEST staff for their expertise. I am also very appreciative of all the help John Ford of the Machine Shop has provided me over the years.
I would like to thank Mom, Dad, Chris, and Michelle for all their unwavering love and continuous support. And finally, to my dearest Samantha, every day with you is a joy and you make me excited for everything yet to come.
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List of Abbreviations
α alpha
Å angstrom, 10-10 m
AN Gutmann acceptor number atm. atmosphere
β beta
BCF B(C6F5), tris(pentafluorophenyl)borane br broad
Bu butyl
C Celsius cm centimeter
C6D6 deuterated benzene
C6F5 pentafluorophenyl
C12F9 2-nonafluorobiphenyl
C10H6 naphthyl
C20H12 1,1’-binaphthyl calcd. calculated
CH2Cl2 dichloromethane
Cls SO2(4-ClC6H4), 4-chlorobenzenesufonyl
COSY correlational spectroscopy
δ delta, chemical shift
v
Δ Delta
° degrees
d doublet, days
-dn n-deuteron isotopologue
DART direct analysis in real time
DEPT distortionless enhancement by polarization transfer
DFT density functional theory
η eta, hapticity
E energy
eq. equivalent(s)
eV electron volts
ESI electrospray ionization
Et ethyl
Et2O diethyl ether
FIA fluoride ion affinity
FLP frustrated Lewis acid g gram
GEI global electrophilicity index h hour
HRMS high resolution mass spectrometry
HMBC heteronuclear multiple bond correlation
vi
HOESY heteronuclear Overhauser effect spectroscopy
HSQC heteronuclear single quantum coherence
Hz Hertz
iPr Isopropyl
IR infrared
n Jxy n-bond scalar coupling between nuclides x and y
κ kappa, denticity
K Kelvin
kJ/mol kilojoules per mole
μ mu, bridging, absorption coefficient
m multiplet, meta
Mes mesityl
Me methyl
mg milligram
MHz megahertz
mL milliliter
mmol millimole
MS mass spectrometry
Ms SO2(CH3), methanesulfonyl
NHC N-heterocyclic carbene
NMR nuclear magnetic resonance
vii
Ns SO2(4-NO2C6H4), 4-nitrobenzenesufonyl
ω omega, global electrophilicity index value o ortho
- OTf (CF3SO3) , triflate anion
π pi p para ppm parts-per-million, 10-6
pent. n-pentane
POV-Ray Persistence of Vision Raytracer
Ph phenyl
q quartet
quin. quintet
RT room temperature
σ sigma
s singlet
SCE saturated calomel electrode
t triplet
tBu tert-butyl
THF tetrahydrofuran
tol tolyl
Ts SO2(4-(CH3)C6H4), 4-toluenesulfonyl
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Table of Contents Abstract ...... ii
Acknowledgements ...... iv
List of Abbreviations ...... v
Table of Tables ...... xiii
Table of Schemes ...... xiv
Table of Figures ...... xvii
Chapter 1 Introduction ...... 1
1.1 Elemental Phosphorus ...... 1
1.2 Lewis Acidic Phosphorus Species ...... 2
1.2.1 Phosphenium Cations...... 2
1.2.2 Phosphonium Cations ...... 3
1.2.3 Fluorophosphonium Catalysts ...... 5
1.2.4 Dicationic Phosphorus Catalysts...... 9
1.3 Electrophilicity and Lewis Acidity Measurement Scales ...... 10
1.3.1 Chemical Shift Electrophilicity Scales ...... 11
1.3.2 Computational Electrophilicity Measures...... 14
1.4 Scope of Thesis ...... 16
1.5 References ...... 18
Chapter 2 Nitrene Insertion into Boranes ...... 23
2.1 Introduction ...... 23
2.1.1 Hypervalent Iodine Reagents ...... 23
2.1.2 Electrophilic Borane Reagents ...... 25
2.1.3 Frustrated Lewis Pair Chemistry ...... 27
2.1.4 Post-Synthetic Tuning Strategies ...... 28
ix
2.2 Results and Discussion ...... 29
2.2.1 Synthesis and Characterization of Aminoboranes ...... 29
2.2.2 Electrophilicity of Aminoboranes ...... 39
2.2.3 Reactivity of Aminoboranes ...... 43
2.2.4 Mechanism of Nitrene Insertion ...... 45
2.2.5 Synthesis and Characterization of Phosphinimines ...... 46
2.3 Conclusion ...... 50
2.4 Experimental ...... 51
2.4.1 General Experimental Methods ...... 51
2.4.2 X-ray Crystallography ...... 55
2.5 References ...... 58
Chapter 3 Perchloroaryl Fluorophosphonium Cations ...... 63
3.1 Introduction ...... 63
3.1.1 Perchloroaryl Boranes ...... 63
3.1.2 Perchloroaryl Phosphines...... 67
3.2 Results and Discussion ...... 68
3.2.1 Synthesis and Characterization of Phosphines ...... 68
3.2.2 Synthesis of Perchloroaryl Difluorophosphoranes ...... 73
3.2.3 Synthesis of Pentachlorophenyl Phosphonium Cations ...... 77
3.2.4 Electrophilicity of Fluorophosphonium Cations ...... 82
3.2.5 Reactivity of Pentachlorophenyl Fluorophosphonium Cations ...... 89
3.2.6 Catalytic Activity of Perchlorophenyl Phosphonium Cations ...... 91
3.3 Conclusion ...... 93
3.4 Experimental ...... 95
3.4.1 General Experimental Methods ...... 95
x
3.4.2 X-ray Crystallography ...... 102
3.5 References ...... 106
Chapter 4 Perfluorobiphenyl Fluorophosphonium Cations ...... 111
4.1 Introduction ...... 111
4.1.1 Perfluorobiphenyl Groups in Transition Metal Applications ...... 111
4.1.2 Perfluorobiphenyl Groups in Main Group Applications ...... 116
4.2 Results and Discussion ...... 118
4.2.1 Synthesis of Perfluorobiphenyl Phosphines by Lithiation ...... 118
4.2.2 Synthesis of Perfluorobiphenyl Phosphines by Zincation ...... 122
4.2.3 Synthesis of 2-Perfluorobiphenyl Difluorophosphoranes ...... 126
4.2.4 Synthesis of Fluorophosphonium cations ...... 128
4.2.5 Measures of electrophilicity ...... 131
4.2.6 Solubility of Perfluorobiphenyl Salts ...... 138
4.2.7 Stability of Perfluorobiphenyl Phosphonium Cations ...... 139
4.2.8 Catalysis ...... 141
4.3 Conclusion ...... 144
4.4 Experimental ...... 144
4.4.1 General Experimental Methods ...... 144
4.4.2 X-ray Crystallography ...... 158
4.5 References ...... 161
Chapter 5 Binaphthyl Fluorophosphonium Cations ...... 166
5.1 Introduction ...... 166
5.2 Results and Discussion ...... 170
5.2.1 Synthesis and Characterization of BINAP Fluorophosphonium Cation...... 170
5.2.2 Electrophilicity of BINAP-derived Fluorophosphonium Cation ...... 173
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5.2.3 Catalytic Activity of BINAP-derived Fluorophosphonium Cation ...... 173
5.2.4 Synthesis of Pentafluorophenyl Binaphthyl Fluorophosphonium Cation ...... 174
5.2.5 Mechanism for Phosphole Synthesis ...... 178
5.2.6 Electrophilicity of Perfluorophenyl Binaphthyl Fluorophosphonium...... 179
5.2.7 Reactivity of a Perfluoroaryl Binaphthyl Fluorophosphonium Cation ...... 181
5.3 Conclusion ...... 182
5.4 Experimental ...... 182
5.4.1 General Experimental Methods ...... 182
5.4.2 X-ray Crystallography ...... 188
5.5 References ...... 190
Chapter 6 Conclusion ...... 194
6.1 Future Work ...... 194
6.2 Summary ...... 195
6.3 References ...... 199
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Table of Tables
Table 2.1. Gutmann-Beckett 31P{1H} NMR and Gutmann acceptor numbers ...... 40
Table 2.2. Computed LUMO and HOMO Energies and Calculated ω Values...... 43
Table 3.1. Calculated LUMO and HOMO energies for cations of 3-10 – 3-13,
[FP(C6Cl5)3][B(C6F5)4], and [FP(C6F5)3][B(C6F5)4]...... 85
Table 3.2. Calculated Electrophilic Index, ω, values for the cations of 3-10 – 3-13,
[FP(C6Cl5)3][B(C6F5)4], and [FP(C6F5)3][B(C6F5)4]...... 86
Table 3.3. Fluoride Ion Affinities for the Cations of 3-10 – 3-13, [FP(C6Cl5)3][B(C6F5)4], and
[FP(C6F5)3][B(C6F5)4]...... 88
Table 3.4. Air-Stability of Fluorophosphonium Salts 3-10 – 3-13 and [FP[C6F5)3][B(C6F5)4] in PhBr...... 90
Table 4.1. Selected NMR Chemical Shift Data for Phosphines 4-1 – 4-8...... 120
Table 4.2. Calculated LUMO and HOMO energies for cations of 4-20 – 4-23, and
[PF(C6F5)3][B(C6F5)4]...... 135
Table 4.3. Calculated ω values for cations of 4-20 – 4-23, and [PF(C6F5)3][B(C6F5)4]...... 136
Table 4.4. Fluoride Ion Affinities for Cations of 4-20 – 4-23 and [PF(C6F5)3][B(C6F5)4]...... 137
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Table of Schemes
Scheme 1.1. Synthesis of benzothiazolium phosphenium cation...... 2
Scheme 1.2. Phosphenium-phosphine adduct formation...... 2
Scheme 1.3. Phosphenium cation cycloaddition with 1,3-diene. .. Error! Bookmark not defined.
Scheme 1.4. Hypervalent interaction between a phosphonium cation and Lewis base...... 3
Scheme 1.5. The Wittig reaction mechanism...... 4
Scheme 1.6. Catalytic activity of oxo-bridged bis-phosphonium salt...... 5
Scheme 1.7. Phosphonium ionic liquid carbonyl activation...... 5
Scheme 1.8. Catalytic hydrodefluorination activity of fluorophosphonium catalysts...... 6
Scheme 1.9. Dehydrocoupling hydrogenation reactivity of fluorophosphonium cations...... 7
Scheme 1.10. Ketone hydrosilylation reactivity of chloro- and bromophosphonium cations...... 8
Scheme 1.11. Dimerization of 1,1-diphenylethylene reactivity of alkyl-linked bis-phosphonium cations...... 9
Scheme 1.12. Oxide-fluoride exchange reactivity of NHC-stabilized dication...... 10
Scheme 1.13. Hydrodefluorination reactivity of pyridinium-phosphonium dications...... 10
Scheme 1.14. Childs’ method protocol for BCF...... 12
Scheme 1.15. Gutmann-Beckett protocol for BCF...... 13
Scheme 1.16. Fluoride ion affinity for a fluorophosphonium cation...... 15
Scheme 2.1. Synthesis of hypervalent iodine reagents from diacetoxyiodobenzene...... 24
Scheme 2.2. General reactivity patterns of λ3-iodanes...... 24
Scheme 2.3. Reactivity of iodine reagent with triphenylphosphine (top) and dimethylsulfoxide (bottom)...... 25
Scheme 2.4. Synthesis of tris(pentafluorophenyl)borane (BCF)...... 26
Scheme 2.5. Summary of BCF Lewis acid catalyzed reactivity...... 26
Scheme 2.6. Reactivity of Piers’ borane with THF (top) and styrene (bottom)...... 27
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Scheme 2.7. Synthesis of phenyliodonium sulfonylimides...... 29
Scheme 2.8. Synthesis of tosylaminoborane 2-1...... 30
Scheme 2.9. Synthesis of adduct (C6F5)2BN(Ts)(C6F5)·OPEt3 2-2...... 31
Scheme 2.10. Reaction of PhI=NTs with (C6F5)2BPh to generate 2-3...... 33
Scheme 2.11. Synthesis of nitrene inserted products 2-4 – 2-7 from Piers’ borane...... 35
Scheme 2.12. Synthesis of nitrene inserted products 2-4 – 2-7 from ClB(C6F5)2...... 38
Scheme 2.13. Summary of reactivity of aminoboranes...... 45
Scheme 2.14. Mechanism of Insertion reaction between PhI=NTS with boranes...... 46
Scheme 2.15. Synthesis of phosphinimines 2-8 and 2-9...... 47
Scheme 2.16. Hydrolysis of 2-8 and 2-9 to corresponding phosphine oxides...... 47
Scheme 2.17. Proposed mechanism of formation for phosphinimines 2-8 and 2-9...... 49
Scheme 3.1. Hydrolysis of BCF (top). Water-adduct formation of B(C6F5)2(C6Cl5) (bottom) .... 65
Scheme 3.2. Proposed mechanism for hydrogenation with B(C6F5)2(C6Cl5)...... 66
Scheme 3.3. Hydrogen activation using B(C6Cl5)3/PR3 FLPs (top). Formic acid activation using
B(C6Cl5)3/PR3 FLPs (bottom)...... 66
Scheme 3.4. Synthesis of pentachlorophenyl-substituted phosphines...... 67
Scheme 3.5. Functionalization of pentachlorophenyl groups with trimethylchlorosilane...... 68
Scheme 3.6. Synthesis of perchlorophenyl substituted phosphines 3-1 – 3-5...... 69
Scheme 3.7. Synthesis of 1,2-diphosphine ((C6Cl5)2P)2...... 70
Scheme 3.8. Synthesis of pentachlorophenyl-substituted difluorophosphoranes...... 74
Scheme 3.9. Reactivity of 3-3 with XeF2...... 76
Scheme 3.10. Synthesis of pentachlorophenyl-substituted phosphonium cations...... 78
Scheme 3.11. Direct fluorophosphonium synthesis from 3-6 using NFSI...... 80
Scheme 3.12. Reaction of 3-3 with fluorinating agent NFSI to generate 3-14...... 81
Scheme 4.1. Synthesis of 2-bromoperfluorobiphenyl, BrC12F9...... 111
xv
Scheme 4.2. Mechanism of 2-bromoperfluorobiphenyl synthesis...... 112
Scheme 4.3. Synthesis of perfluorobiphenyl substituted borane (top) and fluoroaluminate (bottom)...... 113
Scheme 4.4. Proposed decomposition route of cationic zirconocene compounds...... 114
Scheme 4.5. Divergent reactivity of KCN with B(C12F9) (top) and BCF (bottom)...... 115
Scheme 4.6. Decarboxylation of B(C12F9)3 FLP (top) and CO2 activation by BCF FLP (bottom)...... 117
Scheme 4.7. Divergent reactivity of ethylene towards [Mes3PH][(μ-H)((Al(C12F9)3)2] (top) and
[Mes3PH][(μ-H)(Al(C6F5)3)2] (bottom)...... 118
Scheme 4.8. Synthesis of perfluorobiphenyl phosphines 4-1 – 4-7...... 119
Scheme 4.9. Synthesis of bis(perfluorobiphenyl) phosphines 4-9 and 4-10...... 121
Scheme 4.10. Synthesis of 1,2-diphosphines 4-11 and 4-12...... 125
Scheme 4.11. Synthesis of 2-perfluorobiphenyl substituted difluorophosphoranes 4-13 – 4-19...... 126
Scheme 4.12. Synthesis of perfluorophenyl fluorophosphonium cations 4-20 – 4-25...... 129
Scheme 4.13. Summary of reactivity for catalysts 4-20 – 4-23...... 143
Scheme 5.1. Chiral induction in decarboxylation reaction by brucine...... 167
Scheme 5.2. Chiral BINAP rhodium hydrogenation catalyst ...... 168
Scheme 5.3. Chiral binaphthyl FLP hydrosilylation of 1,2-diketone...... 169
Scheme 5.4. Asymmetric amination of β-keto ester with phosphonium catalyst...... 169
Scheme 5.5. Oxidation of BINAP by XeF2 to generate bis(difluorophosphorane) 5-1...... 171
Scheme 5.6. Synthesis of fluorophosphonium salt 5-2...... 171
Scheme 5.7. Synthesis of bis(fluorophosphonium) 5-2b (top) and fluorophosphonium-phosphine 5-2c (bottom) from BINAP using NFSI...... 173
Scheme 5.8. Summary of catalytic activity for 5-2...... 174
xvi
Scheme 5.9 Reaction of binaphthyl Grignard reagent with BrP(3,5-(CF3)2C6H3)2 (top, literature 21 procedure ), and BrP(C6F5)2 to form 5-3 (bottom)...... 175
Scheme 5.10. Air-oxidation of 5-3 to form phosphine oxide 5-4 ...... 176
Scheme 5.11. Oxidation of 5-3 by XeF2 to synthesize difluorophosphorane 5-5...... 177
Scheme 5.12. Synthesis of fluorophosphonium salt 5-6...... 177
Scheme 5.13. Proposed mechanism for the formation of 5-3 and P(C6F5)3...... 179
Scheme 5.14. Summary of reactivity for 5-6...... 181
xvii
Table of Figures
Figure 1.1. Lewis-acidic orbitals of a fluorophosphonium cation (left), silylium cation (middle), and borane (right)...... 7
Figure 1.2. Electrophilic index values (ω) and FIA values of a series of phenoxyphosphonium cations...... 8
Figure 2.1. Structural types of λ3-iodanes (left, middle) and λ5-iodanes (right)...... 23
Figure 2.2. Seminal FLP systems: arene-linked phosphine-borane (left), ethylene-bridged phosphine-borane (middle), and intermolecular BCF-phosphine (right)...... 28
Figure 2.3. POV-ray depiction of 2-2; C: light grey, B: yellow-green, O: red, S: yellow, N: blue, P: orange, F: pink, hydrogen atoms have been omitted for clarity...... 32
Figure 2.4. Partial 19F NMR spectrum (-127 – -164 ppm), variable temperature study of 5-3 in toluene-d8 (bottom – top: 25 °C, 40 °C, 60 °C, 80 °C, 100 °C)...... 34
Figure 2.5. POV-ray depiction of 2-4; C: light grey, B: yellow-green, O: red, S: yellow, N: blue, P: orange, F: pink, hydrogen atoms have been omitted for clarity...... 36
Figure 2.6. POV-ray depiction of 2-5 (top) and 2-6 (bottom); C: light grey, B: yellow-green, O: red, S: yellow, N: blue, Cl: green, F: pink, hydrogen atoms have been omitted for clarity...... 37
Figure 2.7 Surface contour plot of LUMO of 2-4 (top left), 2-5 (top right), 2-6 (bottom left), and 2-7 (bottom right); C: dark grey, H: light grey, N: dark blue, O: red, F: light blue...... 42
Figure 2.8. POV-ray depiction of 2-8; C: light grey, P: orange, O: red, S: yellow, N: blue, F: pink, hydrogen atoms have been omitted for clarity...... 48
Figure 2.9. Surface contour plots of 2-8 orbitals: HOMO (left) and LUMO (right)...... 49
Figure 3.1. Electrophilicity and Lewis acidity trends for perchlorophenyl-substituted boranes. . 63
Figure 3.2. Halogen mesomeric stabilization effects of fluorine (left) and chlorine (right)...... 64
Figure 3.3. POV-ray depiction of 3-1 (top) and 3-4 † (bottom); C: light grey, P: orange, F: pink, Cl: green, hydrogen atoms have been omitted for clarity...... 69
Figure 3.4. Orthogonal POV-ray depictions of ((C6Cl5)2P)2; C: light grey, P: orange, Cl: green, hydrogen atoms have been omitted for clarity...... 71
xviii
31 1 Figure 3.5. Stacked partial P{ H} NMR spectra (top to bottom: 3-3, 3-2, 3-1, PPh3, P(C6F5)Ph2,
P(C6F5)3)...... 72
Figure 3.6. Sample DART mass spectrum displaying isotopic distribution of 3-3...... 73
Figure 3.7. POV-ray depiction of 3-6 † (top) and 3-9 † (bottom); C: light grey, P: orange, F: pink, Cl: green, hydrogen atoms have been omitted for clarity...... 75
Figure 3.8. POV-ray depiction of (C6Cl5)2; C: light grey, Cl: green...... 77
Figure 3.9. POV-ray depiction of 3-11; C: light grey, B: yellow-green, P: orange, F: pink, Cl: green, hydrogen atoms have been omitted for clarity...... 79
Figure 3.10. POV-ray depiction of [Ph2PF(C6Cl5)][N(SO2Ph)2], 3-10NFSI †; C: light grey, B: yellow-green, O: red, S: yellow, N: blue, P: orange, F: pink, Cl: green, hydrogen atoms have been omitted for clarity...... 80
Figure 3.11. Surface contour plots of the LUMO oriented along the P-F bond for cations of 3-10 (top left), 3-11 (top right), 3-12 (bottom left), 3-13 (bottom right); P: orange, C: black, F: blue, Cl: green, H: light grey...... 84
Figure 3.12. Correlation of LUMO energies to ω for salts 3-10 – 3-13, [FP(C6Cl5)3][B(C6F5)4], and
[FP(C6F5)3][B(C6F5)4] (left). Correlation of chemical shift to ω for salts 3-10 – 3-13, with
[FP(C6F5)3][B(C6F5)4] outlier (right)...... 86
Figure 3.13. Correlation of 31P{1H} NMR chemical shifts and FIA values for the cations of
3-10 – 3-13, and [FP(C6F5)3][B(C6F5)4]...... 88
Figure 3.14. Catalytic activity of fluorophosphonium salts 3-10 – 3-13. Catalytic screening for compounds 3-10, 3-12, and 3-13 was completed by Vitali Podgorny...... 93
Figure 4.1. Steric encapsulation of cyano group by B(C12F9): POV-ray (left, fluorine atoms omitted), space-filling model (right)...... 116
Figure 4.2. POV-ray depiction of 4-11 (top), Br-aryl interaction of 4-11 (middle), T-shaped π-π interaction of 4-11 (bottom); C: light grey, B: yellow-green, Br: purple, P: orange, F: pink, Centroid: red; selected fluorine atoms have been omitted for clarity...... 124
Figure 4.3. POV-ray depiction of (C12F9)POF2,H2O; C: light grey, P: orange, F: pink, H: white...... 128
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Figure 4.4. POV-ray depiction of 4-20 (top left, counterion omitted), 4-21 (top right, counterion omitted), and 4-22 (bottom); C: light grey, B: yellow-green, P: orange, F: pink, hydrogen atoms have been omitted for clarity...... 130
Figure 4.5. POV-ray depiction of 4-23; C: light grey, B: yellow-green, O: red, P: orange, F: pink, H: white...... 131
Figure 4.6. Surface contour plot of the LUMO oriented along the P-F bond for cations 4-20 (top left), 4-21 (top right), 4-22 (bottom left), 4-23 (bottom right); P: orange, C: black, F: blue, H: light grey...... 134
Figure 4.7. Partial 19F NMR spectrum (3 – -2 ppm) of competition experiment between 4-23 and
PF2(C6F5)3 in CH2Cl2 after 1 h (left) and 24 h (right)...... 138
Figure 5.1. POV-ray depiction of 5-4; C: light grey, O: red, P: orange, F: pink, hydrogen atoms have been omitted for clarity...... 176
Figure 5.2. Contour plot for the LUMO of 5-6...... 180
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Chapter 1 Introduction 1.1 Elemental Phosphorus Phosphorus is the eleventh most abundant element and the most abundant pnictogen in the Earth’s crust, found mainly as inorganic mineral phosphates.1 Phosphorus is found ubiquitously in an incredibly diverse range of roles: organometallic catalysts, detergents, water treatments, fertilizers, biological systems, pesticides and electronics to name a few.2 The versatility arises from the structural and electronic diversity accessible to phosphorus containing compounds. Phosphorus compounds range from one-coordinate to six-coordinate with oxidation states ranging from +5 to -3 have been observed.3,4
Elemental phosphorus exists as a variety of allotropes, the most common of which are white and red phosphorus. White phosphorus, or tetraphosphorus, is a molecule containing four phosphorus atoms arranged in a tetrahedron. White phosphorus exhibits spherical aromaticity, delocalization of electron density around the outer radius of the tetrahedron.5 White phosphorus is obtained by vapourizing the phosphorus from phosphate minerals at temperatures exceeding 1200 °C and condensed under water. Red phosphorus is a polymeric allotrope resulting from the linkage
between P4 fragments found in white phosphorus and is obtained when white phosphorus is heated or exposed to light.2
The controlled reaction of white phosphorus with elemental chlorine yields phosphorus trichloride,6 which, along with the other trihalides of phosphorus, are used as starting materials in
the synthesis of a diverse array of phosphorus(III) compounds. Phosphines of the form PR3, where R is an organic substituent, play an important role in synthetic inorganic and organic chemistry as versatile Lewis bases. By varying the phosphine substituents, the steric bulk and electronics can be fine-tuned to achieve desired properties.
1
1.2 Lewis Acidic Phosphorus Species 1.2.1 Phosphenium Cations
While organophosphorus species are commonly associated with the Lewis basic properties of phosphines, there are reported examples of Lewis acidic phosphorus centres. Phosphenium cations are two-coordinate phosphorus cations, which are known to exhibit both Lewis acidic and Lewis basic behaviour. Dimroth and Hoffman reported the first phosphenium cations, which were obtained by the reaction of reaction of 2-chlorobenzothiazolium salts with tris(hydroxymethyl)phosphine (Scheme 1.1).4
Scheme 1.1. Synthesis of benzothiazolium phosphenium cation.
Phosphenium cations are stabilized by extensive charge delocalization over the substituents, which are commonly amido groups due to their high π-donor ability.7 Phosphenium cations derive their Lewis acidic behavior from the vacant p-orbital and formal positive charge on the phosphorus centre. Phosphenium cations form adducts with phosphines, as first observed by Parry in the reaction of tris(dimethylamino)phosphine with various phosphenium cations to form diphosphorus cations (Scheme 1.2)8
Scheme 1.2. Phosphenium-phosphine adduct formation.
Interestingly, due to the presence of Lewis basic lone-pair of electrons and a Lewis acidic vacant orbital on the phosphorus centre, phosphenium cations are also very effective reagents in the reaction with 1,3-dienes. The related McCormack reaction that combines 1,3-dienes with dihalophosphines proceeds slowly at very high temperatures to produce P-heterocyclic products.9 The reaction of phosphenium reagents as dieneophiles with substituted 1,3-butadienes was reported by Cowley and Baxter in back-to-back reports (Scheme 1.3).10,11 The reaction of
2
phosphenium with 1,3-butadienes readily generates cyclic phosphonium cations, in contrast to the slow generation of cyclic phosphines generated by the McCormack reaction.
Scheme 1.2. Phosphenium-phosphine adduct formation.
1.2.2 Phosphonium Cations
Phosphonium cations are another class of phosphorus compounds that exhibits Lewis acidic behavior. Unlike phosphenium cations, phosphonium cations do not possess a lone-pair of electrons. Phosphonium cations have a tetrahedral four-coordinate phosphorus centre, and are related to phosphenium cations by the process of oxidative addition.12 Phosphonium cations contain neither a lone-pair of electrons nor a vacant p-orbital on the phosphorus centre. Unlike borane and phosphenium Lewis acids which use a vacant p-orbital, phosphonium cations instead use a low energy σ* orbital.13 Interaction of the Lewis base with a phosphonium cation forms a five-coordinated trigonal-bipyramidal phosphorane species with a hypervalent interaction (Scheme 1.4).
Scheme 1.4. Hypervalent interaction between a phosphonium cation and Lewis base.
The stability of pentavalent phosphorane species increases with the total electronegativity of the substituents.2 The hypervalent interaction is most stabilized when the two apical positions involved in the interaction are electron withdrawing.13 The apicophilicity, or tendency of a group to occupy the apical position, is related to the electronegativity, steric size, and π-acceptor nature. The following trend has been proposed for apicophilicity:
F > H > CF3 > OPh > Cl > SMe > OMe > NMe2 > Me > Ph
3
Depending on the relative apicophilicity of substituents on a phosphorane, rearrangements of geometry can occur through either Berry pseudorotation or turnstile rotation.14 In Berry pseudorotation, the two apical substituents distort to form a square pyramidal intermediate, followed by rotation of the two previously equatorial substituents into the apical positions. The net change of a Berry pseudorotation exchanges two equatorial substituents with two apical substituents. In a turnstile rotation, two pairs of one equatorial and one apical substituent rotate about an axis perpendicular to the three other substituents. Pseudorotation is significantly inhibited by the presence of two substituents with low apicophilicity and virtually eliminated when three such substituents are present.15
Wittig reported the reaction of a triphenylphosphonium ylide with ketones to generate an alkene and triphenylphosphine oxide.16 Quaternary phosphonium salts are generated through the reaction of triphenylphosphine with an alkyl halide and are subsequently used to generate the ylide through deprotonation by a strong organolithium base. The mechanism for the reaction between the ylide and ketone proceeds through a [2+2] cycloaddition with a four-membered cyclic oxaphosphetane intermediate. While the ylide α-carbon acts as a nucleophile, the phosphorus centre acts as a Lewis acid, accepting a lone pair of electrons to form a bond with oxygen (Scheme 1.5).
Scheme 1.5. The Wittig reaction mechanism.
In an extension of this chemistry, Merz reported employing a two-phase system of CH2Cl2 and aqueous NaOH solution with a variety of phosphonium cations to carry out olefination of aldehydes.17 Deprotonation of phosphonium with NaOH generated an ylide species which would react with aldehydes to form the corresponding alkenes. The reaction of the ylide proceeds sufficiently fast that decomposition of the quaternary salts to phosphine oxide does not occur appreciably.
Matsu and coworkers have reported the use of bis-phosphonium salts as catalysts in the formation of β-aminoesters from corresponding imines and ketene silyl acetals (Scheme 1.6).18 The phosphonium species, an oxo-bridged bis-trialkylphosphonium salt, has also demonstrated
4 catalytic competency in the aldol-type reaction of aldehydes or acetals with various nucleophiles, and the Michael reaction of ketones or acetals with silyl nucleophiles.19 High yields were obtained even with catalyst loading as low as 2.5 mol%. The reaction of 4-dimethylaminobenzaldehyde with tert-butyldimethylsilyl ketene acetal was catalyzed effectively by the phosphonium catalyst, while the amine was found to quench other Lewis acids. The mechanism is proposed to proceed through initial activation of the imine by the Lewis-acidic bis-phosphonium and subsequent attack of the ketene silyl acetal to generate the β-aminoester and regenerate the catalyst.
Scheme 1.6. Catalytic activity of oxo-bridged bis-phosphonium salt.
Considerable utility has been found in the application of phosphonium salts as ionic liquids, which demonstrate enhanced thermal and chemical stability over more conventional imidazolium and ammonium ionic liquids.20,21 While most phosphonium based ionic liquids employ very large alkyl substituents, the phosphonium centres are still able to function as weak Lewis acid catalysts. McNulty and coworkers employed trihexyl(tetradecyl)phosphonium decanoate to catalyze the nucleophilic attack of diethylzinc onto the activated benzaldehyde carbonyl (Scheme 1.7).22
Scheme 1.7. Phosphonium ionic liquid carbonyl activation.
1.2.3 Fluorophosphonium Catalysts
In 2013, our group reported the synthesis of two highly electrophilic fluorophosphonium cations 23 [(C6F5)3-nPFPhn][B(C6F5)4] for n = 0, 1. These fluorophosphonium cations were obtained by
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oxidation of P(C6F5)3 or (C6F5)2PPh using XeF2 to generate the corresponding
difluorophosphorane species and subsequent fluoride-abstraction using [SiEt3][B(C6F5)]·C7H8. Both fluorophosphonium cations were found to activate alkyl C-F bonds leading to concomitant generation of a carbocation and the corresponding difluorophosphorane species. Catalytic
hydrodefluorination of alkanes was achieved by introducing HSiEt3 as a hydride source and fluoride sink (Scheme 1.8).
Scheme 1.8. Catalytic hydrodefluorination activity of fluorophosphonium catalysts.
The mechanism was proposed to begin with the activation of a fluoroalkane by
[PF(C6F5)3][B(C6F5)4] to form difluorophosphorane and carbocation. Subsequent delivery of hydride by HSiEt3 produces an alkane and silylium cation, which regenerates the fluorophosphonium catalyst by fluoride abstraction from the difluorophosphorane. This mechanism is supported by the observation that combination of [PF(C6F5)3][B(C6F5)4] with HSiEt3
results in no reaction, even after several weeks, whereas [PF(C6F5)3][B(C6F5)4] reacts rapidly with
fluoroalkanes. Further, addition of silylium cation [SiEt3][B(C6F5)]·C7H8 to a 1:1 mixture of
PF2(C6F5)3 and perfluorotoluene results in the exclusive reaction with PF2(C6F5)3 to generate
[PF(C6F5)3][B(C6F5)4] and FSiEt3. Computations were carried out that support initial C-F
activation by [PF(C6F5)3][B(C6F5)4] as more favourable than initial H-Si activation. Computations of the LUMO show a significant lobe on the phosphorus centre, consistent with a low energy P-F σ*-orbital being the site of Lewis acidity (Figure 1.1). Dissimilar to phosphonium cations, both silylium cations and boranes use a vacant p-orbital as the site of reactivity.
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Figure 1.1. Lewis-acidic orbitals of a fluorophosphonium cation (left), silylium cation (middle), and borane (right).
This family of fluorophosphonium cations represent a very significant improvement in phosphonium catalyst design. The high combined electron-withdrawing nature of the substituents stabilizes difluorophosphorane intermediates. Additionally, the drastically different
apicophilicities of the F and C6F5 substituents eliminate rearrangements of corresponding five- coordinate species. The observed stability of related trifluorophosphorane species, which contain a highly apicophilic substituent in the equatorial position have demonstrated significantly reduced stability compared to difluorophosphorane species. Additionally, the high electrophilicity of fluorophosphonium cations allows for a broad range of accessible reactivity.
A diverse range of catalytic reactivity has been observed for fluorophosphonium cations including the hydrodefluorination of fluoroalkanes; hydrosilylation of alkenes, alkynes, imines and ketones; and dimerization of 1,1-diphenylethylene. Fluorophosphonium cations have also been reported to effect the dehydrocoupling of silanes with amines, thiols, phenols and carboxylic acids to generate a Si-E bond (E= N, S, O) and molecular hydrogen. The hydrogen generated by dehydrocoupling can further be used to effect the hydrogenation of olefins.24 Additionally, the dehydrocoupling of
ditolylamine with triethylsilane yields bulky silylamine p-tol2NSiEt3 which could be used with fluorophosphonium to effect dihydrogen activation and catalytic olefin hydrogenation (Scheme 1.9).25
Scheme 1.9. Dehydrocoupling hydrogenation reactivity of fluorophosphonium cations.
Our group has also investigated the chloro- and bromo- analogues [PCl(C6F5)3][B(C6F5)4] and
[PBr(C6F5)3][B(C6F5)4], generated by phosphine oxidation by sulfuryl chloride and elemental
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26 bromine, respectively. Interestingly, [PCl(C6F5)3][B(C6F5)4] showed the lowest catalytic activity of the three halo-analogues, despite the higher electronegativity of Cl compared to Br. The low activity of [PCl(C6F5)3][B(C6F5)4] was attributed to quenching of electrophilicity by back-donation of the chlorine substituent onto the phosphorus centre. The three phosphonium cations
[PX(C6F5)3][B(C6F5)4] X=F, Cl, Br, were used to catalyze the hydrosilylation of ketones, nitriles and imines (Scheme 1.10).
Scheme 1.10. Ketone hydrosilylation reactivity of chloro- and bromophosphonium cations.
The use of fluoro-substituted phenoxy groups has also been investigated in a series of phosphonium cations.27 The electrophilicity of the series was evaluated computationally using the general electrophilicity index (ω) and fluoride ion affinity (FIA). As with the chloro- and bromophosphonium cations, the phenoxyphosphonium cations display lower electrophilicity than the corresponding fluorophosphonium. The ω and FIA values correlated very well, displaying a trend of increasing electrophilicity with increasing fluorine substitution on the phenoxy ring (Figure 1.2).
Figure 1.2. Electrophilic index values (ω) and FIA values of a series of phenoxyphosphonium cations.
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1.2.4 Dicationic Phosphorus Catalysts
Developing a phosphonium cation with electrophilicity greater than that of [PF(C6F5)3][B(C6F5)4] without substituting the stabilizing C6F5 groups for additional reactive halides is a challenging endeavor. One approach investigated by our group to generate highly Lewis acidic phosphonium salts is the inclusion of multiple linked phosphonium centres that interact cooperatively with substrates. A series of bis-diphenylfluorophosphonium cations connected by alkyl chains of varied length (one to five carbon atoms) were evaluated in a series of Lewis acid catalytic transformations, including the dimerization of 1,1-diphenylethylene (Scheme 1.11).28 The reactivity of the bis- phosphonium cations decreased with increasing chain length, decreasing significantly after a length of three carbon atoms. While the bis-phosphonium cations with methylene and ethylene linkers display similar activity in most test reactions, the ethylene linked bis-phosphonium cation displays significantly reduced activity in the hydrodefluorination of fluoropentane. The reactivity of the related fluorophosphonium [Ph3PF][B(C6F5)4] is comparable to that of the bis-fluorophosphonium with a five carbon tether.29 The source of enhanced Lewis acidity of the bis-fluorophosphonium cations was not fully elucidated.
Scheme 1.11. Dimerization of 1,1-diphenylethylene reactivity of alkyl-linked bis-phosphonium cations.
Another approach in generating more electrophilic phosphonium catalysts involves the incorporation of additional cationic charge. Our group has previously used this method in developing electrophilic borenium catalysts, which derive Lewis acidity from cationic charge instead of inductively electron-withdrawing substituents employed by neutral borane catalysts.30,31,32 Carbene-stabilized borenium cations were able to catalyze the hydrogenation of imines with a turn-over frequency significantly higher than neutral B(C6F5)3. Applying this methodology to generate fluorophosphonium dicationic species has also proved fruitful. N-
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heterocyclic carbene-stabilized diphenylfluorophosphonium cations were generated using a similar synthetic strategy to the monocationic species, but instead starting from NHC-stabilized phosphenium cation.33 Attempts to ascertain the Lewis acidity of the phosphorus dication using the Gutmann-Beckett (vide infra) method resulted in the fluorodeoxygenation of triethylphosphine oxide with concomitant formation of the NHC-stabilized phosphenium oxide (Scheme 1.12). The fluorophosphonium dication is very competent in hydrodefluorination and hydrosilylation chemistry, indicative of enhanced Lewis acidity.
Scheme 1.12. Oxide-fluoride exchange reactivity of NHC-stabilized dication.
In a related work, phosphorus dications were also generated by incorporation of a methylpyridinium substituent onto a fluorophosphonium cation.34 Phosphine starting material 2- pyridyldiphenylphosphine was used to generate both the methyl- and fluorophosphonium dications after methylation of the pyridyl group. The methylphosphonium dication proved to be significantly less active than the fluorophosphonium cation in the hydrodefluorination of fluoropentane, highlighting the importance of the highly electronegative fluorine substituent (Scheme 1.13).
Scheme 1.13. Hydrodefluorination reactivity of pyridinium-phosphonium dications.
1.3 Electrophilicity and Lewis Acidity Measurement Scales Methods to measure electrophilicity and Lewis acidity are critical to understanding observed reactivity trends and predicting catalyst suitability in new applications. To be an effective method,
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the data required to compare and rank electrophiles must be easily obtained, but also consider sufficient variables related to the steric and electronic structure of the electrophile as to allow comparison across many systems. The ease of measurement leads to more widespread adoption of the method, which leads to the generation of more data points for comparison. Two general types of scales will be discussed throughout the thesis: trends arising from NMR chemical shift data and those obtained through ab initio calculations of systems.
Lewis acidity scales require that a sufficient interaction occur between the analyte and Lewis base in order to obtain a meaningful measurement. Excessive steric encumbrance can preclude formation of adducts rendering a Lewis acid incompatible with that testing method, therefore methods like Childs’, Gutmann-Beckett and FIA all employ Lewis bases with minimal steric demand. While the upside of employing small Lewis bases in Lewis acidity tests is more widespread compatibility, the downside is that the trends observed may be less applicable to predicting reactivity trends with larger substrates.
As outlined by Drago and Matwiyoff “[a]ny order of donor or acceptor strengths must be established relative to a given donor or acceptor. Reversals may be expected when orders towards different donors (or acceptors) are compared”.35 However, obtaining multiple measures of Lewis acidity and electrophilicity allows for better understanding of a particular and allows for more accurate prediction of future reactivity trends.
1.3.1 Chemical Shift Electrophilicity Scales
Obtaining electrophilicity measurements from NMR chemical shift data is an attractive method because the data can be obtained easily using techniques and instrumentation available to most synthetic chemists. Lewis acid quantification by NMR chemical shift data has been reported for a wide variety of nuclei, including 1H, 2H, 19F, 23Na and 31P.,36, 37,38 The most widely utilized Lewis acidity quantification scales are the Childs’ and Gutmann-Beckett methods (vide infra).
Our group has also reported the use of 31P and 19F NMR spectroscopic data to assess the electrophilicity across a series of fluorophosphonium cations.39 Both the chemical shift of the phosphorus centre and phosphorus bound fluorine are both responsive to changes in Lewis acidity,
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displaying complementary trends to the computed FIA trend. The sensitivity of the fluorophosphonium chemical shift to changes in electrophilicity is not unprecedented as the Gutmann-Beckett method (vide infra) reliably uses the chemical shift of triethyloxyphosphonium with various oxygen substituents to assess Lewis acidity.
1.3.1.1 Childs’ Method Childs reported using trans-crotonaldehyde, among other aldehydes, to measure Lewis acidity by 1H NMR spectroscopy.38 By this method, crotonaldehyde is added 1:1 to a cooled solution of the desired Lewis acid and a 1H NMR spectrum is obtained (Scheme 1.14).
Scheme 1.14. Childs’ method protocol for BCF.
The proton signal of vinylic proton H3 to the carbonyl oxygen atom exhibits a downfield shift when an adduct is formed, the magnitude of this downfield shift is proportional to the electrophilicity of the Lewis acid. This method has seen widespread adoption, though not to the same degree as the Gutmann-Beckett method, perhaps owing to the comparative difficulty of preparing air-sensitive samples at low temperatures.40 The Childs’ method has been reported to be incompatible with a wide range of fluorophosphonium cations, as addition of crotonaldehyde to solutions of fluorophosphonium cations yields complex mixtures of products. 39,33
1.3.1.2 Gutmann Beckett Gutmann proposed using the Acceptor Number (AN) as a useful guide for “choosing the most appropriate solvent for a given reaction.” The AN is determined by comparing the 31P NMR 41 chemical shift for OPEt3 in the solvent of interest to the chemical shift of OPEt3 in hexane. The
AN scale is based off arbitrary fixed points of hexane (AN = 0) and SbCl5 (AN = 100). Additionally, Gutmann measured the 31P NMR chemical shift at various dilutions and extrapolated to infinite dilution to correct for concentration effects. Triethylphosphine oxide is ideal for this
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application because it is a strong base that can only interact through one well-defined site at oxygen, and the ethyl substituents enhanced solubility and provide electronic shielding without significant steric encumbrance.
Beckett modified the scale developed by Gutmann to quantify the Lewis acidity boron-containing Lewis acids.42 The polymerization of epoxy resins can be initiated by boron Lewis acids, with a rate dependence on the strength of the Lewis acid. Since 11B NMR shifts of boranes are highly variable and do not show correlation to electrophilicity of the boron centre, the Gutmann scale proved to be a useful alternative.43 The AN obtained for boranes showed correlation with the measured reaction rates of epoxide polymerization. The AN is dependent on how well a boron-
bound heteroatom competes with OPEt3 for the boron acceptor orbital. Gutmann provides a simplified procedure in which an OPEt3 is added to neat borane in a 5mm NMR tube nested in a
10mm NMR tube filled with CDCl3 for use as a lock. The acceptor number was calculated using
AN = (δ(sample) - 41.0) × {100/(86.14 - 41.0)}
31 where 86.14 is the P NMR chemical shift of OPEt3 with SbCl5 and 41.0 is the chemical shift of
OPEt3 in hexane. The simplified measurement of AN proposed Beckett gave results with good agreement to those obtained by Gutmann without requiring multiple data points for different dilutions.
Britovsek proposed a further simplified methodology, wherein a 1:1 mixture of borane and OPEt3 31 44 were dissolved in C6D6 and the P NMR spectrum was obtained (Scheme 1.15).
Scheme 1.15. Gutmann-Beckett protocol for BCF.
The same change in chemical shift was observed for the borane adducts in C6D6, THF and CDCl3, indicating that with a significantly strong adduct formed with the Lewis acid, the effect of the
solvent is negated. Britovsek measured the Lewis acidity of the series (C6F5)3-nB(OC6F5)n for n = 0 – 3 to find that using the Gutmann-Beckett method the Lewis acidity increases as n increases;
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however, the opposite trend was obtained using the Childs’ method. This reversal was rationalized
as hard Lewis base OPEt3 interacts more strongly as the hardness of the Lewis acid increased with
OC6F5 substitution, but a soft base like crotonaldehyde interacts less strongly as the hardness increased. This illustrates the limited predictive power of Lewis acidity trends, as the trends only necessarily hold for closely related systems and trends can reverse when different donor types are used. O’Hare and many others have used this modified Gutmann-Beckett method to assess the strength of Lewis acids in FLP chemistry.45 Additionally, this method has been applied to fluorophosphonium systems with mixed results. Some systems have been amenable to the 23 39 Gutmann-Beckett method, while other systems do not form adducts with OPEt3, while others 28 yet react with OPEt3 in a deoxygenative fashion.
1.3.2 Computational Electrophilicity Measures
The use of ab initio computational methods to assess the electrophilicity of Lewis acidity provides the significant advantage of studying systems that are not synthesized or have not been suitably purified. Additionally, computations like fluoride ion affinities and general electrophilicity indices are compatible with a wider range of Lewis acids when compared to empirical methods like Childs’ or Gutmann-Beckett.
1.3.2.1 Fluoride Ion Affinity Christe and coworkers proposed FIA as an ab initio method to quantize Lewis acidity (Scheme 1.16).46 The fluoride ion is an ideal Lewis base for this application as it exhibits very high basicity with negligible steric encumbrance and forms adducts with “essentially all Lewis acids.” The reaction enthalpy of fluoride ion-adduct formation can then be used to quantify relative Lewis acid strength.
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Scheme 1.16. Fluoride ion affinity for a fluorophosphonium cation.
Due to difficulties in calculating the electron affinity of F, Christe used the experimentally 47 determined FIA value for difluoroketone, COF2, of 49.9 kcal/mol. Using this empirical value
obtained for COF2, the FIA values of Lewis acids can be calculated using the following equations
- - CF2O + F CF3O ΔH1 = 49.9kcal/mol
- - CF3O + LA CF2O + F-LA ΔH2
- - LA + F F-LA ΔH3 = ΔH2 + 49.9kcal/mol
where LA and F-LA represent the Lewis acid and fluoride adduct respectively. The first equation
represents the FIA of CF2O with experimentally determined enthalpy. An estimation of enthalpy of the second equation can be obtained using the computed internal energies of the Lewis acid, the - fluoride-Lewis acid adduct, CF2O and the CF3O anion. Using the values from the first two equations, the enthalpy for the FIA of LA can be obtained as the sum.
Fluoride ion affinity calculations are typically resource intensive, as optimized geometries and energies for both the Lewis acid and fluoride-Lewis acid adduct need to be obtained. Fluoride ion affinities allow for comparison of a wide range of Lewis acids, including systems that are not compatible with empirical tests like the Gutmann-Beckett method. Additionally, FIAs can be used predictively to ascertain the effectiveness of synthetically challenging systems. Fluoride ion affinities have been used extensively to evaluate the Lewis acidity of boranes and fluorophosphonium cations.48,39
1.3.2.2 General Electrophilicity Index The General Electrophilicity Index is a system proposed by Parr as a quantitative scale for electrophiles.49 Parr proposed the electrophilicity index of a compound be defined as “the square of its electronegativity divided by its chemical hardness.” This definition was strongly motivated
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by an earlier work in which Maynard observed a strong correlation between the value χ2/η and the reaction rates of electrophiles with a protein they were studying.50 The electrophilicity index, ω, estimates the ability of a chemical species to “soak up” electrons and is defined as
ω ≡ μ2/2η
where μ is chemical potential and η is the chemical hardness. Both chemical potential and chemical hardness can be defined in terms of ionization energy (I) and electron affinity (A) as
χ = –μ = (I + A)/2 and η = (I – A)
where χ is the absolute electronegativity. Mulliken electronegativity is defined as being equal to (I + A)/2. Per Koopman’s theorem, 51,52 chemical hardness and chemical potential can be related to frontier orbital energies by
EHOMO = I and ELUMO = A
Using these equations, the electrophilic index of a system can be calculated using the following equation