Symmetry and structure readable group theory for chemists

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1. Verfasser: Kettle, Sidney F. A. (VerfasserIn)
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Sprache:English
Veröffentlicht: Hoboken, N.J. Wiley 2007
Ausgabe:3. ed.
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Datensatz im Suchindex

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adam_text Contents Preface to Third Edition ix 1 Theories in conftict 1 1.1 Introduction 1 1.2 The ammonia molecule 1 1.2.1 The atomic orbital model 2 1.2.2 The hybrid orbital model 3 1.2.3 The electron-repulsion model 4 1.2.4 The electron-spin-repulsion model 6 1.2.5 Accurate calculations 7 2 The symmetry of the water molecule 11 2.1 Symmetry operations and symmetry elements 11 2.2 Multipliers associated with symmetry operations 19 2.3 Group multiplication tables 36 2.4 Character tables 40 2.5 Summary 43 3 The electronic structure of the water molecule 45 3.1 The orthonormal properties of irreducible representations 45 3.2 The transformation properties of atomic orbitals in the water molecule 47 3.3 A reducible representation 51 3.4 Symmetry-adapted combinations 54 3.5 The bonding interactions in H20 and their angular dependence 59 3.6 The molecular orbital energy level diagram for H20 65 3.7 Comparison with experiment 67 3.8 The Walsh diagram for triatomic dihydrides 68 3.9 Simple modeis for the bonding in H20 70 3.10 A rapprochement between simple and symmetry modeis 73 3.11 Summary 74 4 Vibrational spectra of the water molecule 75 4.1 Vibrations of the water molecule: Part 1 (easy) 76 4.2 Vibrations of the water molecule: Part 2 (less easy!) 80 4.3 Product functions 92 vi Contents 4.4 Direct products and quantüm mechanical integrals 96 4.5 Spectroscopic selection rules 99 4.6 The vibrational spectroscopy of the water molecule 103 4.7 Optical activity 1°7 4.8 Summary 108 5 D2h character table and the electronic structu^s of ethene (ethylene) and diborane 1°9 5.1 The symmetry of the ethene molecule 109 5.2 The character and multiplication tables of the ß h group 112 5.3 Direct products of groups H4 5.4 Nodal patterns of the irreducible represerttations of the O2h group 117 5.5 The symmetries of the carbon atomic Orbitals in ethene 121 5.6 The symmetries of the hydrogen ls orbital in ethene 128 5.7 The projection Operator method !29 5.8 Bonding in the ethene molecule l34 5.9 Bonding in the diborane rnolecule I36 5.10 Comparison with other modeis l41 5.11 Summary l44 6 The electronic structure of bromine pentafluoride, BrF5 145 6.1 Symmetry operations of the C*v group l4 6.2 Problems in using the Cm group I50 6.3 Orthonormality relationships l52 6.4 The derivation of the C character table u$ing the orthonormality theorems l55 6.5 Nodal patterns of the irreducible represen^tions of Gw l6° 6.6 The bonding in the BrF5 molecule l62 6.7 Summary l7 7 The electronic structure of the ammonia moiecuic 1 7.1 The symmetry of the ammonia molecule -1 7.2 Nodal patterns of the irreducible representations of C3v l7 7.3 The bonding in the ammonia molecule ^ 7.4 Summary l8 8 The electronic structures of some octahedral nioiecuies 1O 8.1 The symmetry operations of the octahedron 19 8.2 Nodal patterns of the irreducible representations of the 0h group 19 8.3 The bonding in the SF6 molecule 2 g 8.4 Octahedral transition metai complexes g 8.5 Summary 2 9 Point groups and their relationships 231 9.1 The deterrnination of the point group of 3 molecule 5 9.2 The relationships between point groups CONTENTS VÜ 9.3 Correlation tables 240 9.4 Summary 244 10 Tetrahedral, icosahedral and spherical symmetries 245 10.1 An overview 245 10.2 The tetrahedron 247 10.3 The icosahedron 251 10.4 Spherical symmetry 254 10.5 Linear molecules 261 10.6 Summary 262 11 7r-Electron Systems 263 11.1 Square cydobutadiene and the C4 point group 263 11.2 Working with complex characters4 268 11.3 The n orbitals of cydobutadiene 269 11.4 The energies of the n orbitals of cydobutadiene in the Hückel approximation 271 11.5 Symmetry and chemical reactions 276 11.6 Summary 280 12 The group theory of electron spin 281 12.1 The problem of electron spin 281 12.2 More about the symmetry of product functions 288 12.3 Configurations and terms 289 12.4 The inclusion of electron spin 294 12.5 Summary 297 13 Space groups 299 13.1 The crystal Systems 299 13.2 The Bravais lattices 308 13.3 The crystallographic point groups 311 13.4 The symmorphic space groups 317 13.5 The non-symmorphic space groups 322 13.6 Unitcells 325 13.7 Wigner-Seitz unit cells 327 13.8 Summary 330 14 Spectroscopic studies of crystals 331 14.1 Translational invariance 331 14.2 The factor group and unit cell group modeis 333 14.3 Examples of use of the factor and unit cell group modeis 336 14.3.1 The v(C0) spectra of crystalline (C6H6)Cr(CO)3 336 14.3.2 The vibrational spectrum of a M(fe0)3 species crystallizing in the C2/c (C2h6) space group using the unit cell model 340 14.4 Summary 344 Viii CONTENTS Appendix 1 Groups and classes: definitions and examples 345 Al.l Groups 345 AI.2 Some examples of groups 347 AI.3 The classes of a group 349 A1.4 Classalgebra 352 Appendix 2 Matrix algebra and group theory 355 A2.1 Matrix algebra and symmetry operations 355 A2.2 Direct products 363 Appendix 3 Character tables of the more important point groups 369 Appendix 4 The fluorine group orbitals of n symmetry in SF6 391 A4.1 Ligand group orbitals of complex ions 397 Appendix 5 The Hermann-Mauguin notation 404 Appendix 6 Non-symmorphic relatives of the point group D2 407 A6.1 The space group P2a/c(C^) 416 Index 421
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author Kettle, Sidney F. A.
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physical VIII, 426 S. graph. Darst.
publishDate 2007
publishDateSearch 2007
publishDateSort 2007
publisher Wiley
record_format marc
spellingShingle Kettle, Sidney F. A.
Symmetry and structure readable group theory for chemists
Liaisons chimiques
Molécules
Structure chimique
Symétrie (Physique)
Théorie des groupes
Chemical structure
Symmetry (Physics)
Group theory
Chemical bonds
Molecules
Molekülsymmetrie (DE-588)4170385-6 gnd
Symmetrie (DE-588)4058724-1 gnd
Chemische Struktur (DE-588)4009857-6 gnd
Chemische Bindung (DE-588)4009843-6 gnd
Molekülstruktur (DE-588)4170383-2 gnd
Gruppentheorie (DE-588)4072157-7 gnd
subject_GND (DE-588)4170385-6
(DE-588)4058724-1
(DE-588)4009857-6
(DE-588)4009843-6
(DE-588)4170383-2
(DE-588)4072157-7
title Symmetry and structure readable group theory for chemists
title_auth Symmetry and structure readable group theory for chemists
title_exact_search Symmetry and structure readable group theory for chemists
title_full Symmetry and structure readable group theory for chemists Sidney F. A. Kettle
title_fullStr Symmetry and structure readable group theory for chemists Sidney F. A. Kettle
title_full_unstemmed Symmetry and structure readable group theory for chemists Sidney F. A. Kettle
title_short Symmetry and structure
title_sort symmetry and structure readable group theory for chemists
title_sub readable group theory for chemists
topic Liaisons chimiques
Molécules
Structure chimique
Symétrie (Physique)
Théorie des groupes
Chemical structure
Symmetry (Physics)
Group theory
Chemical bonds
Molecules
Molekülsymmetrie (DE-588)4170385-6 gnd
Symmetrie (DE-588)4058724-1 gnd
Chemische Struktur (DE-588)4009857-6 gnd
Chemische Bindung (DE-588)4009843-6 gnd
Molekülstruktur (DE-588)4170383-2 gnd
Gruppentheorie (DE-588)4072157-7 gnd
topic_facet Liaisons chimiques
Molécules
Structure chimique
Symétrie (Physique)
Théorie des groupes
Chemical structure
Symmetry (Physics)
Group theory
Chemical bonds
Molecules
Molekülsymmetrie
Symmetrie
Chemische Struktur
Chemische Bindung
Molekülstruktur
Gruppentheorie
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