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Preface to Third Edition | |

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Theories in conflict | |

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Introduction | |

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The ammonia molecule | |

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The atomic orbital model | |

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The hybrid orbital model | |

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The electron-repulsion model | |

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The electron-spin-repulsion model | |

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Accurate calculations | |

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The symmetry of the water molecule | |

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Symmetry operations and symmetry elements | |

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Multipliers associated with symmetry operations | |

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Group multiplication tables | |

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Character tables | |

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Summary | |

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The electronic structure of the water molecule | |

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The orthonormal properties of irreducible representations | |

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The transformation properties of atomic orbitals in the water molecule | |

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A reducible representation | |

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Symmetry-adapted combinations | |

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The bonding interactions in H[subscript 2]O and their angular dependence | |

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The molecular orbital energy level diagram for H[subscript 2]O | |

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Comparison with experiment | |

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The Walsh diagram for triatomic dihydrides | |

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Simple models for the bonding in H[subscript 2]O | |

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A rapprochement between simple and symmetry models | |

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Summary | |

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Vibrational spectra of the water molecule | |

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Vibrations of the water molecule: Part 1 (easy) | |

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Vibrations of the water molecule: Part 2 (less easy!) | |

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Product functions | |

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Direct products and quantum mechanical integrals | |

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Spectroscopic selection rules | |

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The vibrational spectroscopy of the water molecule | |

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Optical activity | |

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Summary | |

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D[subscript 2h] character table and the electronic structures of ethene (ethylene) and diborane | |

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The symmetry of the ethene molecule | |

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The character and multiplication tables of the D[subscript 2h] group | |

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Direct products of groups | |

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Nodal patterns of the irreducible representations of the D[subscript 2h] group | |

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The symmetries of the carbon atomic orbitals in ethene | |

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The symmetries of the hydrogen 1s orbitals in ethene | |

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The projection operator method | |

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Bonding in the ethene molecule | |

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Bonding in the diborane molecule | |

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Comparison with other models | |

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Summary | |

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The electronic structure of bromine pentafluoride, BrF[subscript 5] | |

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Symmetry operations of the C[subscript 4v] group | |

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Problems in using the C[subscript 4v] group | |

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Orthonormality relationships | |

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The derivation of the C[subscript 4v] character table using the orthonormality theorems | |

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Nodal patterns of the irreducible representations of C[subscript 4v] | |

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The bonding in the BrF[subscript 5] molecule | |

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Summary | |

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The electronic structure of the ammonia molecule | |

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The symmetry of the ammonia molecule | |

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Nodal patterns of the irreducible representations of C[subscript 3v] | |

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The bonding in the ammonia molecule | |

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Summary | |

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The electronic structures of some octahedral molecules | |

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The symmetry operations of the octahedron | |

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Nodal patterns of the irreducible representations of the O[subscript h] group | |

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The bonding in the SF[subscript 6] molecule | |

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Octahedral transition metal complexes | |

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Summary | |

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Point groups and their relationships | |

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The determination of the point group of a molecule | |

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The relationships between point groups | |

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Correlation tables | |

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Summary | |

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Tetrahedral, icosahedral and spherical symmetries | |

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An overview | |

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The tetrahedron | |

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The icosahedron | |

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Spherical symmetry | |

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Linear molecules | |

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Summary | |

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[pi]-Electron systems | |

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Square cyclobutadiene and the C[subscript 4] point group | |

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Working with complex characters[superscript 4] | |

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The [pi] orbitals of cyclobutadiene | |

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The energies of the [pi] orbitals of cyclobutadiene in the Huckel approximation | |

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Symmetry and chemical reactions | |

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Summary | |

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The group theory of electron spin | |

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The problem of electron spin | |

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More about the symmetry of product functions | |

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Configurations and terms | |

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The inclusion of electron spin | |

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Summary | |

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Space groups | |

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The crystal systems | |

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The Bravais lattices | |

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The crystallographic point groups | |

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The symmorphic space groups | |

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The non-symmorphic space groups | |

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Unit cells | |

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Wigner-Seitz unit cells | |

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Summary | |

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Spectroscopic studies of crystals | |

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Translational invariance | |

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The factor group and unit cell group models | |

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Examples of use of the factor and unit cell group models | |

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The v(CO) spectra of crystalline (C[subscript 6]H[subscript 6])Cr(CO)[subscript 3]3 | |

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The vibrational spectrum of a M(C[Congruent with])[subscript 3] species crystallizing in the C2/c ([Characters not reproducible] space group using the unit cell model | |

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Summary | |

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Groups and classes: definitions and examples | |

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Groups | |

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Some examples of groups | |

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The classes of a group | |

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Class algebra | |

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Matrix algebra and group theory | |

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Matrix algebra and symmetry operations | |

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Direct products | |

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Character tables of the more important point groups | |

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The fluorine group orbitals of [pi] symmetry in SF[subscript 6] | |

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Ligand group orbitals of complex ions | |

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The Hermann-Mauguin notation | |

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Non-symmorphic relatives of the point group D[subscript 2] | |

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The space group P2[subscript 1]/C([Characters not reproducible] | |

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Index | |