Structures and Reactivity of Transition-Metal Compounds

Total Page:16

File Type:pdf, Size:1020Kb

Structures and Reactivity of Transition-Metal Compounds STRUCTURES AND REACTIVITY OF TRANSITION-METAL COMPOUNDS FEATURING METAL-LIGAND MULTIPLE BONDS A Dissertation by ZHENGGANG XU Submitted to the Office of Graduate and Professional Studies of Texas A&M University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Chair of Committee, Michael B. Hall Committee Members, Roland E. Allen Robert R. Lucchese Simon W. North Head of Department, David H. Russell August 2014 Major Subject: Chemistry Copyright 2014 Zhenggang Xu ABSTRACT This dissertation presents the results from density functional theory (DFT) calculations on three major projects I have been working on over the past several years. The first system is focused on the structure and reactivity of a novel osmium silylyne compounds featuring an Os≡Si triple bond. NMR simulation confirmed the existence of this compounds and bonding analysis like NBO and ETS-NOCV proved its triple bond character. The structures of the [2+2] cyclo-addition product from silylyne and other small molecules (PhC≡CPh and P≡CtBu) were also determined from possible isomers by energetic results and NMR simulations. The cycloaddition reactions were found to be under kinetic control and steric effects should be a major reason for that. Furthermore, the geometric and electronic structures of the osmium silylyne analogues (M≡E, M = Ru and Os; E = Si, Ge and Sn) are studied computationally and their similarities and distinctions are discussed. Both the second and third systems are related to the formation of transition metal imido compound (M=NR). In the second system a cationic oxorhenium(V) complex reacts with a series of arylazides (N3Ar) to give cationic cis-rhenium(VII) oxo imido complexes. Inductive effect is found in the reaction rates but it leads to different trends for electron-donating and electron-withdrawing substituted phenyl azides. Computations found all the substituted phenyl imido products are formed through the same pathway. The reason for the different trend is due to the competitions between two major energy barriers along the reaction pathway. For the electron-withdrawing substituents, N2 ii extrusion is rate determining, while for the electron-donating substituents, the rate- determining step becomes the initial attack of the azide. The barriers for these two steps are inverted in their order with respect to the Hammett σ values; thus, the Hammett plot appears with a break in slope. In the third system a series of vanadium (III) terminal organoazides were converted to vanadium (V) imido compounds and small quantities of diazenes were found formed in the reactions. Computational studies were conducted to examine serveral possible pathways and a mechanism in which nitrene radicals released from metal-azide decompositions is supported based on two reasons: 1) The two-electron reduction on vanadium center during decomposition of azide generates two fragments both in their ground states (triplet states), which might drag the activation barrier down; 2) This conversion is spin-allowed since vanadium center and nitrene nitrogen are antiferromagnetically coupled in transition state. The ligand simplification study indicates that the bulky mesityl groups on the supporting ligand prevents the reactions from going through the direct N2 extrusion pathway. iii DEDICATION I dedicate this dissertation to my beloved and ever-supportive parents. iv ACKNOWLEDGEMENTS I am most grateful to my advisor Dr. Michael B. Hall, who guided me along from the first day I started at Texas A&M University to today. Over the past several years he was always willing to discuss any ideas I have in mind; he answered every single question with great patience; he showed me how to be a real scientist with genuine curiosity; he respected every decision I made about my life… I enjoy working with him and learning from him. I will benefit from this experience throughout my whole life. I also would like to thank my committee members. Dr. Robert R. Lucchese taught me quantum mechanics and Dr. Simon W. North taught me chemical kinetics. Both courses were the foundations on which I could better understand and appreciate the literatures and the computational tools I used in my research. Although I was not in Dr. Roland H. Allen’s statistical mechanics class, I was impressed by his passion in running. I am looking forward to being in the same race with him again, and I hope I can be as energetic as him throughout my entire life. I owe a special thanks to Dr. Lisa Perez, who was always around to facilitate my research with professional and instant support. I am sure the academic life will be a lot tougher without the help from her. I also feel lucky to have Monica Gonzales as our administrative secretary. She made all the sophisticated paperwork so simple that I have never had any trouble on those issues. v I am greatly indebted to all the group members with whom I shared a great time: Amanda, Jason, Xinzheng, Caiping, Justin, Ivica, Eszter, Li, Ana, Scott, Stella, Jia, Haixia, Shengda, Sonia, Lukasz and Qian. They are so kind and always willing to help, and I wish every one of them has a wonderful life and career in the future. I also owe a special thanks to my roommates and the good friends I met in College Station. You made the past five years so enjoyable that I cannot believe I will be leaving so soon. I will always treasure the days we shared together, and I send my best wishes along with you. At last, I would like to thank one more person. You are the reason I strive. vi TABLE OF CONTENTS Page ABSTRACT .......................................................................................................................ii DEDICATION .................................................................................................................. iv ACKNOWLEDGEMENTS ............................................................................................... v TABLE OF CONTENTS .................................................................................................vii LIST OF FIGURES ........................................................................................................... ix LIST OF TABLES .......................................................................................................... xiv CHAPTER I INTRODUCTION ....................................................................................... 1 1.1 Why transition metal complexes? ............................................................................ 1 1.2 Early understanding of transition metal complex and Werner’s contributions ........ 2 1.3 How do we understand the nature of transition metal compounds? ........................ 3 1.4 Back donation from metal center to the ligand ........................................................ 8 1.5 Multiple bonds between transition metal and ligand: carbene ............................... 10 1.6 More on metal ligand multiple bonds .................................................................... 17 CHAPTER II THEORETICAL BACKGROUND ......................................................... 21 2.1 Quantum mechanics and the Schrödinger equation ............................................... 21 2.2 Born-Oppenheimer approximation ........................................................................ 23 2.3 The Hartree-Fock approximation ........................................................................... 24 2.4 Basis set approximation ......................................................................................... 29 2.5 Electron correlation ................................................................................................ 31 2.6 Density functional theory ....................................................................................... 33 2.7 Wavefunction analysis ........................................................................................... 40 CHAPTER III STRUCTURE AND REACTIVITY OF AN OSMIUM SILYLYNE COMPOUND ................................................................................................................... 43 3.1 Introduction ............................................................................................................ 43 3.2 Experimental observations ..................................................................................... 45 3.3 Computational details ............................................................................................. 47 3.4 Computational results and discussion .................................................................... 48 3.5 Conclusion .............................................................................................................. 73 vii CHAPTER IV COMPUTATIONAL PREDICTION OF INDUCTIVE EFFECTS THAT CAUSE A CHANGE IN THE RATE-DETERMINING STEP FOR THE CONVERSION OF RHENIUM AZIDES TO IMIDO COMPLEXES ........................... 75 4.1 Introduction ............................................................................................................ 75 4.2 Experimental observations ..................................................................................... 80 4.3 Computational details ............................................................................................. 82 4.4 Computational results and discussion .................................................................... 84 4.5 Conclusion .............................................................................................................. 98 CHAPTER V A NITRENE-RELEASE
Recommended publications
  • Symmetry of Three-Center, Four-Electron Bonds†‡
    Chemical Science EDGE ARTICLE View Article Online View Journal | View Issue Symmetry of three-center, four-electron bonds†‡ b a c Cite this: Chem. Sci., 2020, 11,7979 Ann Christin Reiersølmoen, § Stefano Battaglia, § Sigurd Øien-Ødegaard, Arvind Kumar Gupta, d Anne Fiksdahl,b Roland Lindh a and Mate Erdelyi *a All publication charges for this article ´ ´ ´ have been paid for by the Royal Society of Chemistry Three-center, four-electron bonds provide unusually strong interactions; however, their nature remains ununderstood. Investigations of the strength, symmetry and the covalent versus electrostatic character of three-center hydrogen bonds have vastly contributed to the understanding of chemical bonding, whereas the assessments of the analogous three-center halogen, chalcogen, tetrel and metallic s^-type long bonding are still lagging behind. Herein, we disclose the X-ray crystallographic, NMR spectroscopic and computational investigation of three-center, four-electron [D–X–D]+ bonding for a variety of cations (X+ ¼ H+,Li+,Na+,F+,Cl+,Br+,I+,Ag+ and Au+) using a benchmark bidentate model system. Formation of a three-center bond, [D–X–D]+ is accompanied by an at least 30% shortening of the D–X Received 11th April 2020 bonds. We introduce a numerical index that correlates symmetry to the ionic size and the electron Accepted 19th June 2020 affinity of the central cation, X+. Providing an improved understanding of the fundamental factors DOI: 10.1039/d0sc02076a Creative Commons Attribution 3.0 Unported Licence. determining bond symmetry on a comprehensive level is expected to facilitate future developments and rsc.li/chemical-science applications of secondary bonding and hypervalent chemistry.
    [Show full text]
  • Asian Journal of Chemistry Asian Journal of Chemistry
    Asian Journal of Chemistry; Vol. 28, No. 1 (2016), 116-120 ASIAN JOURNAL OF CHEMISTRY http://dx.doi.org/10.14233/ajchem.2016.19262 Theoretical Studies on Interaction Between CO2 Gas and Imidazolium-Type Organic Ionic Liquid Using DFT and Natural Bond Orbital Calculations 1,2,* SAIED M. SOLIMAN 1Department of Chemistry, Rabigh College of Science and Art, King Abdulaziz University, Jeddah, P.O. Box 344, Rabigh 21911, Saudi Arabia 2Department of Chemistry, Faculty of Science, Alexandria University, P.O. Box 426 Ibrahimia, 21525 Alexandria, Egypt *Corresponding author: Tel: +966 565450752; E-mail: [email protected]; [email protected] Received: 20 April 2015; Accepted: 31 July 2015; Published online: 5 October 2015; AJC-17557 The interaction between 4,5-dibromo-1-butyl-3-methylimidazolium trifluoromethanesulfonate; [DBBIM][TFMSO3] ionic liquid and CO2 gas has been studied using DFT calculations. With the help of natural bond orbital (NBO) analyses, the second order perturbation energies of the most interacting natural bond orbitals and natural atomic charges have been predicted by the density functional theory (DFT) computations at the X3LYP/6-31++G(d,p) level of theory. The natural charge calculations showed that in the ionic liquid-CO2 system, the [DBBIM][TFMSO3] ionic liquid is the electron donor while CO2 gas is an electron acceptor. Further stabilization of the imidazolium ring π-system is produced due to the interaction of the CO2 gas with the ionic liquid. The polarization of the C–O and S1–O3 bonds are affected significantly by such interactions. The charge decomposition (CDA) analysis revealed the strong interactions between the [DBBIM]+ and – [TFMSO3] ions of the ionic liquid and the weak interaction between the ionic liquid and the CO2 gas.
    [Show full text]
  • Lowcoordinated Silicon and Hypercoordinated Carbon
    Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology 557 Lowcoordinated Silicon and Hypercoordinated Carbon Structure and Stability of Silicon Analogs of Alkenes and Carbon Analogs of Silicates ANDERS M. EKLÖF ACTA UNIVERSITATIS UPSALIENSIS ISSN 1651-6214 UPPSALA ISBN 978-91-554-7294-8 2008 urn:nbn:se:uu:diva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
    [Show full text]
  • Download Author Version (PDF)
    Chemistry Education Research and Practice Accepted Manuscript This is an Accepted Manuscript, which has been through the Royal Society of Chemistry peer review process and has been accepted for publication. Accepted Manuscripts are published online shortly after acceptance, before technical editing, formatting and proof reading. Using this free service, authors can make their results available to the community, in citable form, before we publish the edited article. We will replace this Accepted Manuscript with the edited and formatted Advance Article as soon as it is available. You can find more information about Accepted Manuscripts in the Information for Authors. Please note that technical editing may introduce minor changes to the text and/or graphics, which may alter content. The journal’s standard Terms & Conditions and the Ethical guidelines still apply. In no event shall the Royal Society of Chemistry be held responsible for any errors or omissions in this Accepted Manuscript or any consequences arising from the use of any information it contains. www.rsc.org/cerp Page 1 of 40 Chemistry Education Research and Practice 1 2 3 4 Rabbit-ears hybrids, VSEPR sterics, and other orbital 5 anachronisms 6 7 a,c a b a,d 8 Allen D. Clauss, Stephen F. Nelsen, Mohamed Ayoub, John W. Moore, a,e a,f 9 Clark R. Landis, and Frank Weinhold* Manuscript 10 11 12 a 13 Department of Chemistry, University of Wisconsin, Madison, WI 53706, USA. 14 bDepartment of Chemistry, UW-Washington Co., West Bend, WI 53095, USA. E-mail: 15 c 16 [email protected]. Present address: Xolve, Inc.
    [Show full text]
  • Intermolecular Interactions from a Natural Bond Orbital, Donor-Acceptor Viewpoint
    Chem. Rev. 1988, 88, 899-926 899 Intermolecular Interactions from a Natural Bond Orbital, Donor-Acceptor Viewpoint ALAN E. REED‘ Instltul fur Organische Chemie der Universltat Erlangen-Nurnberg, Henkestrasse 42, 8520 Erlangen, Federal Republic of Germany LARRY A. CURTISS” Chemical Technology Division/Meterials Science and Technology Program, Argonne National Laboratoty, Argonne, Illinois 60439 FRANK WEINHOLD” Theoretical Chemlshy Institute and Department of Chemistry, University of Wisconsin, Madison, Wisconsin 53706 Received November 10, 1987 (Revised Manuscript Received February 16, 1988) Contents D. Chemisorption 917 E. Relationships between Inter- and 918 I. Introduction 899 Intramolecular Interactions 11. Natural Bond Orbital Analysis 902 IV. Relationship of Donor-Acceptor and 919 A. Occupancy-Weighted Symmetric 902 Electrostatic Models Orthogonalization A. Historical Overview 919 8. Natural Orbitals and the One-Particle 903 B. Relationship to Kitaura-Morokuma Analysis 920 Density Matrix C. Semiempirical Potential Functions 92 1 C. Atomic Eigenvectors: Natural Atomic 904 V. Concluding Remarks 922 Orbitals and Natural Population Analysis D. Bond Eigenvectors: Natural Hybrids and 904 Natural Bond Orbitals E. Natural Localized Molecular Orbitals 905 1. Introdud/on F. Hyperconjugative Interactions in NBO 906 The past 15 years has witnessed a golden age of Analysis discovery in the realm of “van der Waals chemistry”. II I. Intermolecular Donor-Acceptor Models Based 906 The vm der wads bonding regimelies at the interface on NBO Analysis between two well-studied interaction types: the A. H-Bonded Neutral Complexes 906 short-range, strong (chemical) interactions of covalent 1. Water Dimer 906 type, and-the long-range, weak (physical) interactions 2. OC.-HF and COv-HF 908 of dispersion and multipole type.
    [Show full text]
  • [email protected] Nov 2015
    1 Chemistry III (Organic): An Introduction to Reaction Stereoelectronics LECTURE 1 Recap of Key Stereoelectronic Principles Alan C. Spivey [email protected] Nov 2015 2 Format & scope of lecture 1 • Requirements for Effective Orbital Overlap – Classiifcation of orbitals and bonds – terminology – Natural Bond Orbital (NBO) overlap – Estimating interaction energies & overlap integrals – Kirby’s theory and Deslongchamps’ theory • Important Interactions – Resonance – Hyperconjugation/s-conjugation • alkene stability, carbocation stability, the Si b-effect 3 Classification of orbitals & bonds • Orbital shape is of central importance to stereoelectronic analysis – recall the following nomenclature from hybridisation and MO theory: Cl nNsp e.g. nOp n = non-bonding orbital; Me n lone pair of electrons; OSp2 O N O O 3 2 methyl 2-chloro- can be sp , sp , sp or p type orbital: Me Me acetonitrile acetate nOsp3 tetrahydropyran s = sigma orbital; bonding orbital of standard single bond comprised of two sp3, sp2 or sp hybrid atomic orbitals = has rotational symmetry along bond axis axis of symmetry s* = sigma 'star' orbital; s anti-bonding orbital of a single bond = same symmetry properties as s orbital = pi orbital; bonding orbital of a double bond = comprised of two p atomic orbitals has plane of symmetry perpendicular to bond axis plane of symmetry () = pi 'star' orbital; = anti-bonding orbital of a double bond same symmetry properties as orbital ~109° – We will be referring to the ‘bond-localised’ molecular orbitals as Natural Bond Orbitals (NBOs)... 4 Orbital-orbital overlap INTRAMOLECULAR ORBITAL-ORBITAL OVERLAP: • ‘Primary orbital overlap’ → valence bonds: – Valence bond MOs, or as we will be referring to them ‘Natural Bond Orbitals’ (NBOs) result from ‘primary orbital overlap’ between Atomic (often hybridised) Orbitals (AOs) on adjacent atoms within a molecule.
    [Show full text]
  • Bond and Lone Pair Pictures in Quantum Structural Formulas
    Symmetry 2010, 2, 1559-1590; doi:10.3390/sym2031559 OPEN ACCESS symmetry ISSN 2073-8994 www.mdpi.com/journal/symmetry Article Chemical Reasoning Based on an Invariance Property: Bond and Lone Pair Pictures in Quantum Structural Formulas Joseph Alia Division of Science and Mathematics, University of Minnesota, Morris, 600 E 4th St, Morris, MN 56267, USA; E-Mail: [email protected] Received: 21 December 2009; in revised form: 9 July 2010 / Accepted: 22 July 2010 / Published: 23 July 2010 Abstract: Chemists use one set of orbitals when comparing to a structural formula, hybridized AOs or NBOs for example, and another for reasoning in terms of frontier orbitals, MOs usually. Chemical arguments can frequently be made in terms of energy and/or electron density without the consideration of orbitals at all. All orbital representations, orthogonal or not, within a given function space are related by linear transformation. Chemical arguments based on orbitals are really energy or electron density arguments; orbitals are linked to these observables through the use of operators. The Valency Interaction Formula, VIF, offers a system of chemical reasoning based on the invariance of observables from one orbital representation to another. VIF pictures have been defined as one-electron density and Hamiltonian operators. These pictures are classified in a chemically meaningful way by use of linear transformations applied to them in the form of two pictorial rules and the invariance of the number of doubly, singly, and unoccupied orbitals or bonding, nonbonding, and antibonding orbitals under these transformations. The compatibility of the VIF method with the bond pair – lone pair language of Lewis is demonstrated.
    [Show full text]
  • Comparative Theoretical Studies on Natural Atomic Orbitals
    Indian Journal of Pure & Applied Physics Vol. 51, March 2013, pp. 178-184 Comparative theoretical studies on natural atomic orbitals, natural bond orbitals and simulated UV-visible spectra of N-(methyl)phthalimide and N-(2 bromoethyl)phthalimide V Balachandran1,*, T Karthick2, S Perumal3 & A Nataraj4 1P G & Research Department of Physics, Arignar Anna Government Arts College, Musiri, Tiruchirapalli 621 211, Tamil Nadu, India 2Department of Physics, Vivekanandha College for Women, Tiruchengode 637 205, Tamil Nadu, India 3P G & Research Department of Physics, S T Hindu College, Nagarcoil 629 002, Tamil Nadu, India 4P G & Research Department of Physics, Thanthai Hans Roever College, Perambalur 621 212, Tamil Nadu, India *E-mail: [email protected] Received 10 October 2012; revised 3 December 2012; accepted 11 January 2013 The charge delocalization patterns of phthalimide derivatives such as N-(methyl)phthalimide and N-(2-bromoethyl)- phthalimide have been performed with the help of natural bond orbital (NBO) analyses and simulated UV-visible spectra. The second order perturbation energies of the most interacting NBOs and the population of electrons in core, valance and Rydberg sub-shells have been predicted by density functional theory (DFT) computations in GAUSSIAN 03W software package. In the present study, the natural atomic orbital occupancies showed the presence of charge delocalization within the molecule. The natural hybrid atomic orbital studies enhance us to know about the type of orbitals and its percentage of s-type and p-type character. In addition, the excited electronic transitions along with their absorption wavelengths, oscillator strengths and excitation energies for the gaseous phase of the title molecules have been computed at TD-DFT/B3LYP/6- 311++G(d,p) method.
    [Show full text]
  • Natural Bond Orbital Analysis: Rosetta Stone of Computational Organic Chemistry
    Natural Bond Orbital Analysis: Rosetta Stone of computational organic chemistry. Rediscovering hybridization and delocalization in order to understand organic structure and reactivity Igor Alabugin, Florida State University Марковниковские чтения, January 14, 2017, Krasnovidovo Do quantum chemists and organic chemists think alike? “The more accurate the calculations become, the more the concepts tend to vanish into thin air.” R. S. Mulliken, J. Chem. Phys. S2, 43 (1965) “It is nice to know that the computer understands the problem. But I would like to understand it too.” E. P. Wigner (quoted in Physics Today, July 1993, p. 38) “It is at least arguable that, from the point of view of quantum chemistry as usually practiced, the supercomputer has dissolved the bond.” B. T. Sutcliffe, Int. J. Quantum Chem. 58, 645 (1996) “The purpose of computing is insight, not numbers” Richard Hamming (1962) 2 Rosetta Stone The Rosetta Stone was found in 1799. It has a decree issued at Memphis, Egypt, in 196 BC on behalf of King Ptolemy V. The decree appears in three scripts: the upper text is Ancient Egyptian hieroglyphs and the lowest is Ancient Greek. Hence, the stone provided the key to the translating Egyptian hieroglyphs. 3 Rosetta Stone of computational chemistry • NBO analysis http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1118119967.html http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1118906349.html 4 NBO analysis as a key to understanding molecular structure 5 Translating quantum chemistry to the language of organic chemists with NBO Topics
    [Show full text]
  • A Continuum from Halogen Bonds to Covalent Bonds: Where Do Λ3 Iodanes Fit?
    inorganics Article A Continuum from Halogen Bonds to Covalent Bonds: Where Do l3 Iodanes Fit? Seth Yannacone 1 , Vytor Oliveira 2 , Niraj Verma 1 and Elfi Kraka 1,* 1 Department of Chemistry, Southern Methodist University, 3215 Daniel Avenue, Dallas, TX 75275-0314, USA; [email protected] (S.Y.); [email protected] (N.V.) 2 Instituto Tecnológico de Aeronáutica (ITA), Departamento de Química, São José dos Campos, 12228-900 São Paulo, Brazil; [email protected] * Correspondence: [email protected]; Tel.: +1-214-768-2611 Received: 14 February 2019; Accepted: 15 March 2019; Published: 28 March 2019 Abstract: The intrinsic bonding nature of l3-iodanes was investigated to determine where its hypervalent bonds fit along the spectrum between halogen bonding and covalent bonding. Density functional theory with an augmented Dunning valence triple zeta basis set (wB97X-D/aug-cc-pVTZ) coupled with vibrational spectroscopy was utilized to study a diverse set of 34 hypervalent iodine compounds. This level of theory was rationalized by comparing computational and experimental data for a small set of closely-related and well-studied iodine molecules and by a comparison with CCSD(T)/aug-cc-pVTZ results for a subset of the investigated iodine compounds. Axial bonds in l3-iodanes fit between the three-center four-electron bond, as observed for the − 3 trihalide species IF2 and the covalent FI molecule. The equatorial bonds in l -iodanes are of a covalent nature. We explored how the equatorial ligand and axial substituents affect the chemical properties of l3-iodanes by analyzing natural bond orbital charges, local vibrational modes, the covalent/electrostatic character, and the three-center four-electron bonding character.
    [Show full text]
  • Pauling's Conceptions of Hybridization and Resonance in Modern Quantum Chemistry
    molecules Article Pauling’s Conceptions of Hybridization and Resonance in Modern Quantum Chemistry Eric D. Glendening 1 and Frank Weinhold 2,* 1 Department of Chemistry and Physics, Indiana State University, Terre Haute, IN 47809, USA; [email protected] 2 Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin-Madison, Madison, WI 53706, USA * Correspondence: [email protected] Abstract: We employ the tools of natural bond orbital (NBO) and natural resonance theory (NRT) analysis to demonstrate the robustness, consistency, and accuracy with which Linus Pauling’s qualitative conceptions of directional hybridization and resonance delocalization are manifested in all known variants of modern computational quantum chemistry methodology. Keywords: chemical bonding; directed hybridization; resonance delocalization; mesomerism; natural bond orbitals; natural resonance theory 1. Introduction Citation: Glendening, E.D.; Weinhold, F. The present authors proudly claim direct line of descent in the academic family tree Pauling’s Conceptions of Hybridization of Linus Pauling. Senior author FW was an academic grandson (through Doctorvater E. B. and Resonance in Modern Quantum Wilson, Jr. at Harvard University, 1963–1967), a faculty colleague (at Stanford University, Chemistry. Molecules 2021, 26, 4110. 1974–1976), and a student of Pauling (in the 1975 Special Topics course on the valence https://doi.org/10.3390/ bond theory of nuclear structure). Junior author EDG’s Ph.D studies with FW on chemical molecules26144110 bonding [1–3] and resonance theory [4–6] at UW-Madison (1985–1991) were largely based on classic works of Pauling and Wilson [7,8] and conducted under their watchful eyes Academic Editors: Maxim L. Kuznetsov, in photographic portraits that overlooked both the Theoretical Chemistry Institute (TCI) Carlo Gatti, David L.
    [Show full text]
  • Natural Bond Orbitals and Extensions of Localized Bonding Concepts
    CHEMISTRY EDUCATION: INVITED THEME ISSUE: Structural concepts RESEARCH AND PRACTICE IN EUROPE Contribution from science 2001, Vol. 2, No. 2, pp. 91-104 Frank WEINHOLD and Clark R. LANDIS University of Wisconsin, Theoretical Chemistry Institute and Department of Chemistry (USA) NATURAL BOND ORBITALS AND EXTENSIONS OF LOCALIZED BONDING CONCEPTS Received 5 April 2001 ABSTRACT: We provide a brief overview of “natural” localized bonding concepts, as implemented in the current natural bond orbital program (NBO 5.0), and describe recent extensions of these concepts to transition metal bonding. [Chem. Educ. Res. Pract. Eur.: 2001, 2, 91-104] KEY WORDS: natural orbitals; NBO program; Lewis structure; transition metal bonding; sd hybridization WHAT ARE “NATURAL” LOCALIZED ORBITALS? The concept of “natural'” orbitals was first introduced by Löwdin1 to describe the r unique set of orthonormal 1-electron functions θi( r ) that are intrinsic to the N-electron wavefunction ψ(1, 2, ..., N). Mathematically, the θi’s can be considered as eigenorbitals of ψ (or, more precisely, of ψ's first-order reduced density operator), and they are therefore “best possible” (most rapidly convergent, in the mean-squared sense) for describing the electron density ρ( r ) of ψ. Compared to many other choices of orbitals that might be imagined or invented [e.g., the standard atomic orbital (AO) basis functions of electronic structure packages such as Gaussian 982], the natural orbitals are singled out by ψ itself as “natural” for its own description. One might suppose that natural orbitals would also be “best possible” for teaching chemistry students about ψ in qualitative orbital language.
    [Show full text]