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Methods of molecular quantum mechanics [[electronic resource] ] : an introduction to electronic molecular structure / / Valerio Magnasco
| Methods of molecular quantum mechanics [[electronic resource] ] : an introduction to electronic molecular structure / / Valerio Magnasco |
| Autore | Magnasco Valerio |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2009 |
| Descrizione fisica | 1 online resource (312 p.) |
| Disciplina | 541/.28 |
| Soggetto topico |
Quantum chemistry
Molecular structure Electrons |
| ISBN |
0-470-68455-0
1-282-38499-6 9786612384998 0-470-68454-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface. 1. Principles. 1.1 The Orbital Model. 1.2 Mathematical Methods. 1.3 Basic Postulates. 1.4 Physical Interpretation of the Basic Principles. 2. Matrices. 2.1 Definitions and Elementary Properties. 2.2 Properties of Determinants. 2.3 Special Matrices. 2.4 The Matrix Eigenvalue Problem. 3. Atomic Orbitals. 3.1 Atomic Orbitals as a Basis for Molecular Calculations. 3.2 Hydrogen-like Atomic Orbitals. 3.3 Slater-type Orbitals. 3.4 Gaussian-type Orbitals. 4. The Variation Method. 4.1 Variation Principles. 4.2 Nonlinear Parameters. 4.3 Linear Parameters and the Ritz Method. 4.4 Applications of the Ritz Method. 5. Spin. 5.1 The Zeeman Effect. 5.2 The Pauli Equations for One-electron Spin. 5.3 The Dirac Formula for N-electron Spin. 6. Antisymmetry of Many-electron Wavefunctions. 6.1 Antisymmetry Requirement and the Pauli Principle. 6.2 Slater Determinants. 6.3 Distributions Functions. 6.4 Average Values of Operators. 7. Self-consistent-field Calculations and Model Hamiltonians. 7.1 Elements of Hartree-Fock Theory for Closed Shells. 7.2 Roothaan Formulation of the LCAO-MO-SCF Equations. 7.3 Molecular Self-consistent-field Calculations. 7.4 Hückel Theory. 7.5 A Model for the One-dimensional Crystal. 8. Post-Hartree-Fock Methods. 8.1 Configuration Interaction. 8.2 Multiconfiguration Self-consistent-field. 8.3 Møller-Plesset Theory. 8.4 The MP2-R12 Method. 8.5 The CC-R12 Method. 8.6 Density Functional Theory. 9. Valence Bond Theory and the Chemical Bond. 9.1 The Born-Oppenheimer Approximation. 9.2 The Hydrogen Molecule H 2 . 9.3 The Origin of the Chemical Bond. 9.4 Valence Bond Theory and the Chemical Bond. 9.5 Hybridization and Molecular Structure. 9.6 Pauling's Formula for Conjugated and Aromatic Hydrocarbons. 10. Elements of Rayleigh-Schroedinger Perturbation Theory. 10.1 Rayleigh-Schroedinger Perturbation Equations. 10.2 First-order Theory. 10.3 Second-order Theory. 10.4 Approximate E 2 Calculations: The Hylleraas Functional. 10.5 Linear Pseudostates and Molecular Properties. 10.6 Quantum Theory of Magnetic Susceptibilities. 11. Atomic and Molecular Interactions. 11.1 The H-H Nonexpanded Interactions up to Second Order. 11.2 The H-H Expanded Interactions up to Second Order. 11.3 Molecular Interactions. 11.4 Van der Waals and Hydrogen Bonds. 11.5 The Keesom Interaction. 12. Symmetry. 12.1 Molecular Symmetry. 12.2 Group Theoretical Methods. 12.3 Illustrative Examples. References. Author Index. Subject Index . |
| Record Nr. | UNINA-9910139959503321 |
Magnasco Valerio
|
||
| Hoboken, N.J., : Wiley, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Models for bonding in chemistry [[electronic resource] /] / Valerio Magnasco
| Models for bonding in chemistry [[electronic resource] /] / Valerio Magnasco |
| Autore | Magnasco Valerio |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2010 |
| Descrizione fisica | 1 online resource (234 p.) |
| Disciplina | 541/.224 |
| Soggetto topico |
Chemical bonds
Molecular structure - Mathematical models |
| ISBN |
1-282-77312-7
9786612773129 1-119-95734-6 1-119-97198-5 0-470-66975-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Models for Bonding in Chemistry; Contents; Preface; 1 Mathematical Foundations; 1.1 MATRICES AND SYSTEMS OF LINEAR EQUATIONS; 1.2 PROPERTIES OF EIGENVALUES AND EIGENVECTORS; 1.3 VARIATIONAL APPROXIMATIONS; 1.4 ATOMIC UNITS; 1.5 THE ELECTRON DISTRIBUTION IN MOLECULES; 1.6 EXCHANGE-OVERLAP DENSITIES AND THE CHEMICAL BOND; Part 1: Short-range Interactions; 2 The Chemical Bond; 2.1 AN ELEMENTARY MOLECULAR ORBITAL MODEL; 2.2 BOND ENERGIES AND PAULI REPULSIONS IN HOMONUCLEAR DIATOMICS; 2.2.1 The Hydrogen Molecular Ion H+2 (N = 1); 2.2.2 The Hydrogen Molecule H2 (N = 2)
2.2.3 The Helium Molecular Ion He+2 (N = 3)2.2.4 The Helium Molecule He2 (N = 4); 2.3 MULTIPLE BONDS; 2.3.1 s2p2 Description of the Double Bond; 2.3.2 B 2 1 B 2 2 Bent (or Banana) Description of the Double Bond; 2.3.3 Hybridization Effects; 2.3.4 Triple Bonds; 2.4 THE THREE-CENTRE DOUBLE BOND IN DIBORANE; 2.5 THE HETEROPOLAR BOND; 2.6 STEREOCHEMISTRY OF POLYATOMIC MOLECULES; 2.6.1 The Molecular Orbital Model of Directed Valency; 2.6.2 Analysis of the MO Bond Energy; 2.7 sp-HYBRIDIZATION EFFECTS IN FIRST-ROW HYDRIDES; 2.7.1 The Methane Molecule; 2.7.2 The Hydrogen Fluoride Molecule 2.7.3 The Water Molecule2.7.4 The Ammonia Molecule; 2.8 DELOCALIZED BONDS; 2.8.1 The Ethylene Molecule; 2.8.2 The Allyl Radical; 2.8.3 The Butadiene Molecule; 2.8.4 The Cyclobutadiene Molecule; 2.8.5 The Benzene Molecule; 2.9 APPENDICES; 2.9.1 The Second Derivative of the H€uckel Energy; 2.9.2 The Set of Three Coulson's Orthogonal Hybrids; 2.9.3 Calculation of Coefficients of Real MOs for Benzene; 3 An Introduction to Bonding in Solids; 3.1 THE LINEAR POLYENE CHAIN; 3.1.1 Butadiene N = 4; 3.2 THE CLOSED POLYENE CHAIN; 3.2.1 Benzene N = 6; 3.3 A MODEL FOR THE ONE-DIMENSIONAL CRYSTAL 3.4 ELECTRONIC BANDS IN CRYSTALS3.5 INSULATORS, CONDUCTORS, SEMICONDUCTORS AND SUPERCONDUCTORS; 3.6 APPENDIX: THE TRIGONOMETRIC IDENTITY; Part 2: Long-Range Interactions; 4 The van der Waals Bond; 4.1 INTRODUCTION; 4.2 ELEMENTS OF RAYLEIGH-SCHRÖDINGER (RS) PERTURBATION THEORY; 4.3 MOLECULAR INTERACTIONS; 4.3.1 Non-expanded Energy Corrections up to Second Order; 4.3.2 Expanded Energy Corrections up to Second Order; 4.4 THE TWO-STATE MODEL OF LONG-RANGE INTERACTIONS; 4.5 THE van der WAALS INTERACTIONS; 4.5.1 Atom-Atom Dispersion; 4.5.2 Atom-Linear Molecule Dispersion 4.5.3 Atom-Linear Dipolar Molecule10 Induction4.6 THE C6 DISPERSIONCOEFFICIENT FOR THE H-H INTERACTION; 4.7 THE van der WAALS BOND; 4.8 THE KEESOM INTERACTION; 5 The Hydrogen Bond; 5.1 A MOLECULAR ORBITAL MODEL OF THE HYDROGEN BOND; 5.2 ELECTROSTATIC INTERACTIONS AND THE HYDROGEN BOND; 5.2.1 The Hydrogen Fluoride Dimer (HF)2; 5.2.2 The Water Dimer (H2O)2; 5.3 THE ELECTROSTATIC MODEL OF THE HYDROGEN BOND; 5.4 THE Rg-HF HETERODIMERS; References; Author Index; Subject Index |
| Record Nr. | UNINA-9910140807403321 |
|
Magnasco Valerio
|
||
| Hoboken, : Wiley, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Models for bonding in chemistry [[electronic resource] /] / Valerio Magnasco
| Models for bonding in chemistry [[electronic resource] /] / Valerio Magnasco |
| Autore | Magnasco Valerio |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2010 |
| Descrizione fisica | 1 online resource (234 p.) |
| Disciplina | 541/.224 |
| Soggetto topico |
Chemical bonds
Molecular structure - Mathematical models |
| ISBN |
1-282-77312-7
9786612773129 1-119-95734-6 1-119-97198-5 0-470-66975-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Models for Bonding in Chemistry; Contents; Preface; 1 Mathematical Foundations; 1.1 MATRICES AND SYSTEMS OF LINEAR EQUATIONS; 1.2 PROPERTIES OF EIGENVALUES AND EIGENVECTORS; 1.3 VARIATIONAL APPROXIMATIONS; 1.4 ATOMIC UNITS; 1.5 THE ELECTRON DISTRIBUTION IN MOLECULES; 1.6 EXCHANGE-OVERLAP DENSITIES AND THE CHEMICAL BOND; Part 1: Short-range Interactions; 2 The Chemical Bond; 2.1 AN ELEMENTARY MOLECULAR ORBITAL MODEL; 2.2 BOND ENERGIES AND PAULI REPULSIONS IN HOMONUCLEAR DIATOMICS; 2.2.1 The Hydrogen Molecular Ion H+2 (N = 1); 2.2.2 The Hydrogen Molecule H2 (N = 2)
2.2.3 The Helium Molecular Ion He+2 (N = 3)2.2.4 The Helium Molecule He2 (N = 4); 2.3 MULTIPLE BONDS; 2.3.1 s2p2 Description of the Double Bond; 2.3.2 B 2 1 B 2 2 Bent (or Banana) Description of the Double Bond; 2.3.3 Hybridization Effects; 2.3.4 Triple Bonds; 2.4 THE THREE-CENTRE DOUBLE BOND IN DIBORANE; 2.5 THE HETEROPOLAR BOND; 2.6 STEREOCHEMISTRY OF POLYATOMIC MOLECULES; 2.6.1 The Molecular Orbital Model of Directed Valency; 2.6.2 Analysis of the MO Bond Energy; 2.7 sp-HYBRIDIZATION EFFECTS IN FIRST-ROW HYDRIDES; 2.7.1 The Methane Molecule; 2.7.2 The Hydrogen Fluoride Molecule 2.7.3 The Water Molecule2.7.4 The Ammonia Molecule; 2.8 DELOCALIZED BONDS; 2.8.1 The Ethylene Molecule; 2.8.2 The Allyl Radical; 2.8.3 The Butadiene Molecule; 2.8.4 The Cyclobutadiene Molecule; 2.8.5 The Benzene Molecule; 2.9 APPENDICES; 2.9.1 The Second Derivative of the H€uckel Energy; 2.9.2 The Set of Three Coulson's Orthogonal Hybrids; 2.9.3 Calculation of Coefficients of Real MOs for Benzene; 3 An Introduction to Bonding in Solids; 3.1 THE LINEAR POLYENE CHAIN; 3.1.1 Butadiene N = 4; 3.2 THE CLOSED POLYENE CHAIN; 3.2.1 Benzene N = 6; 3.3 A MODEL FOR THE ONE-DIMENSIONAL CRYSTAL 3.4 ELECTRONIC BANDS IN CRYSTALS3.5 INSULATORS, CONDUCTORS, SEMICONDUCTORS AND SUPERCONDUCTORS; 3.6 APPENDIX: THE TRIGONOMETRIC IDENTITY; Part 2: Long-Range Interactions; 4 The van der Waals Bond; 4.1 INTRODUCTION; 4.2 ELEMENTS OF RAYLEIGH-SCHRÖDINGER (RS) PERTURBATION THEORY; 4.3 MOLECULAR INTERACTIONS; 4.3.1 Non-expanded Energy Corrections up to Second Order; 4.3.2 Expanded Energy Corrections up to Second Order; 4.4 THE TWO-STATE MODEL OF LONG-RANGE INTERACTIONS; 4.5 THE van der WAALS INTERACTIONS; 4.5.1 Atom-Atom Dispersion; 4.5.2 Atom-Linear Molecule Dispersion 4.5.3 Atom-Linear Dipolar Molecule10 Induction4.6 THE C6 DISPERSIONCOEFFICIENT FOR THE H-H INTERACTION; 4.7 THE van der WAALS BOND; 4.8 THE KEESOM INTERACTION; 5 The Hydrogen Bond; 5.1 A MOLECULAR ORBITAL MODEL OF THE HYDROGEN BOND; 5.2 ELECTROSTATIC INTERACTIONS AND THE HYDROGEN BOND; 5.2.1 The Hydrogen Fluoride Dimer (HF)2; 5.2.2 The Water Dimer (H2O)2; 5.3 THE ELECTROSTATIC MODEL OF THE HYDROGEN BOND; 5.4 THE Rg-HF HETERODIMERS; References; Author Index; Subject Index |
| Record Nr. | UNINA-9910815525803321 |
|
Magnasco Valerio
|
||
| Hoboken, : Wiley, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||