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1. |
Record Nr. |
UNISALENTO991000997769707536 |
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Autore |
Rinow, Willi |
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Titolo |
Die innere geometrie der metrischen raume / Willi Rinow |
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Pubbl/distr/stampa |
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Berlin : Springer-Verlag, 1961 |
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Descrizione fisica |
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Collana |
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Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics, 0072-7830 ; 105 |
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Classificazione |
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AMS 51K |
AMS 53B40 |
AMS 53C60 |
AMS 58D17 |
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Disciplina |
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Soggetti |
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Distance geometry |
Finsler spaces |
Manifolds of metrics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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2. |
Record Nr. |
UNISALENTO991001004289707536 |
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Autore |
Filter, Wolfgang |
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Titolo |
Integration theory / W. Filter and K. Weber |
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Pubbl/distr/stampa |
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London : Chapman & Hall, 1997 |
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ISBN |
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Edizione |
[1st ed] |
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Descrizione fisica |
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Collana |
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Chapman & Hall mathematics series |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Functions of real variables |
Generalized integrals |
Measure theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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3. |
Record Nr. |
UNINA9910815525803321 |
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Autore |
Magnasco Valerio |
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Titolo |
Models for bonding in chemistry / / Valerio Magnasco |
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Pubbl/distr/stampa |
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ISBN |
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9786612773129 |
9781282773127 |
1282773127 |
9781119957348 |
1119957346 |
9781119971986 |
1119971985 |
9780470669754 |
0470669756 |
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Edizione |
[2nd ed.] |
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Descrizione fisica |
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1 online resource (234 p.) |
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Disciplina |
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Soggetti |
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Chemical bonds |
Molecular structure - Mathematical models |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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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 |
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Sommario/riassunto |
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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 implicat |
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