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El. knyga: Models for Bonding in Chemistry

(University of Genoa, Italy)
  • Formatas: EPUB+DRM
  • Išleidimo metai: 22-Jul-2011
  • Leidėjas: John Wiley & Sons Inc
  • Kalba: eng
  • ISBN-13: 9781119957348
Kitos knygos pagal šią temą:
  • Formatas: EPUB+DRM
  • Išleidimo metai: 22-Jul-2011
  • Leidėjas: John Wiley & Sons Inc
  • Kalba: eng
  • ISBN-13: 9781119957348
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Even though modern molecular quantum mechanics offers the natural basis for very elaborate numerical calculations, models of bonding that avoid the more mathematical aspects of the subject, in the spirit of Coulson's Valence, are still of interest for stating elementary concepts of valence for atoms, molecules and their interactions.

The book covers, in a readable manner with minimal use of mathematics, the essentials of the different bonds occurring in chemistry. Intended for undergraduate students in chemical physics, physical, theoretical and quantum chemistry, it is also relevant to masters and postgraduate students and to any scientist or student who requires a straightforward approach to bonding in molecules and solids.

A readable little book assisting the student in understanding, in a nonmathematical way, the essentials of the different bonds occurring in chemistry. Starting with a short, self-contained,introduction, Chapter 1 presents the essential elements of the variation approach to either total or second-order molecular energies, the system of atomic units (au) necessary to simplify all mathematical expressions, and an introductory description of the electron distribution in molecules. Using mostly 2x2 Hückel secular equations, Chapter 2, by far the largest part of the book because of the many implications of the chemical bond, introduces a model of bonding in homonuclear and heteronuclear diatomics, multiple and delocalized bonds in hydrocarbons, and the stereochemistry of chemical bonds in polyatomic molecules, in a word, a model of the strong first-order interactions originating the chemical bond. In Chapter 3 the Hückel model of the linear polyene chain is used to explain the origin of band structure in the 1-dimensional crystal. Chapter 4 deals with a simple two-state model of weak interactions, introducing the reader to understand second-order electric properties of molecules and VdW bonding between closed shells. Lastly, Chapter 5 studies the structure of H-bonded dimers and the nature of the hydrogen bond, which has a strength intermediate between a VdW bond and a weak chemical bond. Besides a qualitative MO approach based on HOMO-LUMO charge transfer from an electron donor to an electron acceptor molecule, a quantitative electrostatic approach is presented yielding an electrostatic model working even at its simplest pictorial level. A list of alphabetically ordered references, author and subject indices complete the book.

Recenzijos

"In summary, although this book has one foot in the past and the other as well, it serves as a useful collection of case studies in standard models of short and long range interactions." (Chemistry World, 18 February 2011)

Preface xi
1 Mathematical Foundations
1(26)
1.1 Matrices and Systems of Linear Equations
1(5)
1.2 Properties of Eigenvalues and Eigenvectors
6(4)
1.3 Variational Approximations
10(5)
1.4 Atomic Units
15(2)
1.5 The Electron Distribution in Molecules
17(2)
1.6 Exchange-overlap Densities and the Chemical Bond
19(8)
Part 1 Short-range Interactions
27(118)
2 The Chemical Bond
29(90)
2.1 An Elementary Molecular Orbital Model
30(4)
2.2 Bond Energies and Pauli Repulsions in Homonuclear Diatomics
34(3)
2.2.1 The Hydrogen Molecular Ion H2+ (N=1)
35(1)
2.2.2 The Hydrogen Molecule H2(N=2)
35(1)
2.2.3 The Helium Molecular Ion He2+ (N=3)
35(1)
2.2.4 The Helium Molecule He2 (N=4)
36(1)
2.3 Multiple Bonds
37(10)
2.3.1 σ2π2 Description of the Double Bond
38(2)
2.3.2 B12B22 Bent (or Banana) Description of the Double Bond
40(2)
2.3.3 Hybridization Effects
42(4)
2.3.4 Triple Bonds
46(1)
2.4 The Three-centre Double Bond in Diborane
47(2)
2.5 The Heteropolar Bond
49(6)
2.6 Stereochemistry of Polyatomic Molecules
55(5)
2.6.1 The Molecular Orbital Model of Directed Valency
55(3)
2.6.2 Analysis of the MO Bond Energy
58(2)
2.7 sp-Hybridization Effects in First-row Hydrides
60(36)
2.7.1 The Methane Molecule
61(3)
2.7.2 The Hydrogen Fluoride Molecule
64(11)
2.7.3 The Water Molecule
75(12)
2.7.4 The Ammonia Molecule
87(9)
2.8 Delocalized Bonds
96(12)
2.8.1 The Ethylene Molecule
98(1)
2.8.2 The Allyl Radical
98(2)
2.8.3 The Butadiene Molecule
100(2)
2.8.4 The Cyclobutadiene Molecule
102(2)
2.8.5 The Benzene Molecule
104(4)
2.9 Appendices
108(11)
2.9.1 The Second Derivative of the Huckel Energy
108(1)
2.9.2 The Set of Three Coulson Orthogonal Hybrids
109(1)
2.9.3 Calculation of Coefficients of Real MOs for Benzene
110(9)
3 An Introduction to Bonding in Solids
119(26)
3.1 The Linear Polyene Chain
120(3)
3.1.1 Butadiene N = 4
122(1)
3.2 The Closed Polyene Chain
123(8)
3.2.1 Benzene N = 6
126(5)
3.3 A Model for the One-dimensional Crystal
131(2)
3.4 Electronic Bands in Crystals
133(5)
3.5 Insulators, Conductors, Semiconductors and Superconductors
138(5)
3.6 Appendix: The Trigonometric Identity
143(2)
Part 2 Long-Range Interactions
145(56)
4 The van der Waals Bond
147(30)
4.1 Introduction
147(2)
4.2 Elements of Rayleigh-Schrodinger (RS) Perturbation Theory
149(2)
4.3 Molecular Interactions
151(6)
4.3.1 Non-expanded Energy Corrections up to Second Order
152(1)
4.3.2 Expanded Energy Corrections up to Second Order
153(4)
4.4 The Two-state Model of Long-range Interactions
157(2)
4.5 The van der Waals Interactions
159(6)
4.5.1 Atom-Atom Dispersion
161(1)
4.5.2 Atom-Linear Molecule Dispersion
162(1)
4.5.3 Atom-Linear Dipolar Molecule10 Induction
163(2)
4.6 The C6 Dispersion Coefficient for the H-H Interaction
165(2)
4.7 The van der Waals Bond
167(2)
4.8 The Keesom Interaction
169(8)
5 The Hydrogen Bond
177(24)
5.1 A Molecular Orbital Model of the Hydrogen Bond
178(1)
5.2 Electrostatic Interactions and the Hydrogen Bond
179(7)
5.2.1 The Hydrogen Fluoride Dimer (HF)2
182(3)
5.2.2 The Water Dimer (H2O)2
185(1)
5.3 The Electrostatic Model of the Hydrogen Bond
186(11)
5.4 The Rg-HF Heterodimers
197(4)
References 201(8)
Author Index 209(4)
Subject Index 213
Dr Valerio Magnasco, MRSC, is full Professor of Theoretical Chemistry at the University of Genoa, Italy, presently at the Department of Chemistry and Industrial Chemistry (DCCI) of the Faculty of Mathematical, Physical and Natural Sciences of the University. He is Member of the Royal Society of Chemistry (UK, RSC), the American Institute of Physics (US, AIP), the Physical Chemistry Division of the Italian Chemical Society (Italy, SCI), the Class of Sciences of Accademia Ligure di Scienze e Lettere (Italy, Genova). He is supervising a research group working on the theoretical study of atomic and molecular interactions, and is author or co-author of over 170 scientific papers mostly published on international journals, and of one book on Molecular Quantum Mechanics.