图书简介
This timely and unique publication is designed for graduate students and researchers in inorganic and materials chemistry and covers bonding models and applications of symmetry concepts to chemical systems. The book discusses the quantum mechanical basis for molecular orbital concepts, the connections between molecular orbitals and localized views of bonding, group theory, bonding models for a variety of compounds, and the extension of these ideas to solid state materials in band theory. Unlike other books, the concepts are made tangible to the readers by guiding them through their implementation in MATLAB functions. No background in MATLAB or computer programming is needed; the book will provide the necessary skills.
Key Features
Visualization of the Postulates of Quantum Mechanics to build conceptual understanding
MATLAB functions for rendering molecular geometries and orbitals
Do-it-yourself approach to building a molecular orbital and band theory program
Introduction to Group Theory harnessing the 3D graphing capabilities of MATLAB
Online access to a growing collection of applications of the core material and other appendices
Bonding through Code is ideal for first-year graduate students and advanced undergraduates in chemistry, materials science, and physics. Researchers wishing to gain new tools for theoretical analysis or deepen their understanding of bonding phenomena can also benefit from this text.
About the Author
Daniel Fredrickson is a Professor in the Department of Chemistry at the University of Wisconsin–Madison, where his research group focuses on understanding and harnessing the structural chemistry of intermetallic phases using a combination of theory and experiment. His interests in crystals, structure, and bonding can be traced to his undergraduate research at the Un
Introduction . Survey of the importance of molecular orbital concepts in inorganic chemistry. Approach used in this book for teaching molecular orbital approaches to bonding. Nature of the problems presented in the chapters. Overall objectives of this book. The principles of quantum mechanics, and their expression in Matlab - A simultaneous review of quantum mechanics and introduction to Matlab coding. Introduction and scope. The wave function and superposition of states. Observables and operators. Eigenfunctions and eigenvalues. Time evolution. Measurements. The electronic structure of atoms. Atomic wavefunctions as a the basis of bonding. The hydrogen atom. Visualizing the radial wave functions. Slater type orbitals and their parameters. Visualizing the angular wave functions. Effects of going to multiple electrons. Molecular orbital theory illustrated with diatomic molecules. Introduction. Set-up of H2+? problem. Linear Combination of atomic orbitals. Overlap and Hamiltonian matrix elements. The variational principle and the secular determinant. Molecular orbitals of H2+. Moving from H2+ to H2. Generalization: the extended H?ckel and simple H?ckel methods. Molecular orbitals of N2 . Electronegativity perturbations: H2 vs. HHe+ and N2 vs. CO. From MO diagrams on the computer to ones on paper. Rules for construction of MO diagrams. Symmetry and group theory . Symmetry elements and operations. Matrix representations of symmetry operations. Symmetry groups. Multiplication tables, classes, and generators. Representations: reducible and irreducible. Character tables. Reduction of a basis. Projector operators and symmetry adapted linear combinations. Group theory and quantum mechanical integrals. MO models of main-group atom-centered molecules. Bonding in AR2 molecules: localization of MOs to recover Lewis-like structures. Geometry in AR2 molecules: Walsh diagrams and second-order Jahn-Teller effects. AR3: trigonal planar, pyramidal, and T-shaped. AR4:tetrahedral, square-planar, and see-saw geometries. AR5: trigonal bipyramidal vs. square pyramidal. AR6: octahedral; stereochemistry of lone pairs. Summary. Reactivity through Lewis acid/base interactions. Qualitative description of Lewis acid/base adduct formation. Bonding description of Lewis acid/base adducts: the fragment MO method. Examples: nucleophilic addition to carbonyls, superacids, superhalogens. Coordination compounds. Molecular geometry of coordination compounds. Fragment MOs of ligands: ?, ?-donor, and ?-acceptor orbitals. MO diagrams of octahedral complexes. Electron configurations: ?o vs. ?. Jahn-Teller effects. Kinetic inertness vs. lability. MO diagrams of tetrahedral and square planar complexes. Automated generation of MO models. Organometallic compounds. Survey of organometallic structures. Fragment MOs for expanded series of ligands. Ferrocene and piano-stool complexes: the isolobal analogy. The 18-electron rule. Cluster compounds. Survey of borohydride cluster compounds. Developing MO models for the skeletal component of compounds. The Wade-Mingos rules. Solid state structures. Group theory and translational symmetry: Bloch?s Theorem. 1-D periodic structures and
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