| |
| |
| Preface to Third Edition | |
| |
| |
| |
| Theories in conflict | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| The ammonia molecule | |
| |
| |
| |
| The atomic orbital model | |
| |
| |
| |
| The hybrid orbital model | |
| |
| |
| |
| The electron-repulsion model | |
| |
| |
| |
| The electron-spin-repulsion model | |
| |
| |
| |
| Accurate calculations | |
| |
| |
| |
| The symmetry of the water molecule | |
| |
| |
| |
| Symmetry operations and symmetry elements | |
| |
| |
| |
| Multipliers associated with symmetry operations | |
| |
| |
| |
| Group multiplication tables | |
| |
| |
| |
| Character tables | |
| |
| |
| |
| Summary | |
| |
| |
| |
| The electronic structure of the water molecule | |
| |
| |
| |
| The orthonormal properties of irreducible representations | |
| |
| |
| |
| The transformation properties of atomic orbitals in the water molecule | |
| |
| |
| |
| A reducible representation | |
| |
| |
| |
| Symmetry-adapted combinations | |
| |
| |
| |
| The bonding interactions in H[subscript 2]O and their angular dependence | |
| |
| |
| |
| The molecular orbital energy level diagram for H[subscript 2]O | |
| |
| |
| |
| Comparison with experiment | |
| |
| |
| |
| The Walsh diagram for triatomic dihydrides | |
| |
| |
| |
| Simple models for the bonding in H[subscript 2]O | |
| |
| |
| |
| A rapprochement between simple and symmetry models | |
| |
| |
| |
| Summary | |
| |
| |
| |
| Vibrational spectra of the water molecule | |
| |
| |
| |
| Vibrations of the water molecule: Part 1 (easy) | |
| |
| |
| |
| Vibrations of the water molecule: Part 2 (less easy!) | |
| |
| |
| |
| Product functions | |
| |
| |
| |
| Direct products and quantum mechanical integrals | |
| |
| |
| |
| Spectroscopic selection rules | |
| |
| |
| |
| The vibrational spectroscopy of the water molecule | |
| |
| |
| |
| Optical activity | |
| |
| |
| |
| Summary | |
| |
| |
| |
| D[subscript 2h] character table and the electronic structures of ethene (ethylene) and diborane | |
| |
| |
| |
| The symmetry of the ethene molecule | |
| |
| |
| |
| The character and multiplication tables of the D[subscript 2h] group | |
| |
| |
| |
| Direct products of groups | |
| |
| |
| |
| Nodal patterns of the irreducible representations of the D[subscript 2h] group | |
| |
| |
| |
| The symmetries of the carbon atomic orbitals in ethene | |
| |
| |
| |
| The symmetries of the hydrogen 1s orbitals in ethene | |
| |
| |
| |
| The projection operator method | |
| |
| |
| |
| Bonding in the ethene molecule | |
| |
| |
| |
| Bonding in the diborane molecule | |
| |
| |
| |
| Comparison with other models | |
| |
| |
| |
| Summary | |
| |
| |
| |
| The electronic structure of bromine pentafluoride, BrF[subscript 5] | |
| |
| |
| |
| Symmetry operations of the C[subscript 4v] group | |
| |
| |
| |
| Problems in using the C[subscript 4v] group | |
| |
| |
| |
| Orthonormality relationships | |
| |
| |
| |
| The derivation of the C[subscript 4v] character table using the orthonormality theorems | |
| |
| |
| |
| Nodal patterns of the irreducible representations of C[subscript 4v] | |
| |
| |
| |
| The bonding in the BrF[subscript 5] molecule | |
| |
| |
| |
| Summary | |
| |
| |
| |
| The electronic structure of the ammonia molecule | |
| |
| |
| |
| The symmetry of the ammonia molecule | |
| |
| |
| |
| Nodal patterns of the irreducible representations of C[subscript 3v] | |
| |
| |
| |
| The bonding in the ammonia molecule | |
| |
| |
| |
| Summary | |
| |
| |
| |
| The electronic structures of some octahedral molecules | |
| |
| |
| |
| The symmetry operations of the octahedron | |
| |
| |
| |
| Nodal patterns of the irreducible representations of the O[subscript h] group | |
| |
| |
| |
| The bonding in the SF[subscript 6] molecule | |
| |
| |
| |
| Octahedral transition metal complexes | |
| |
| |
| |
| Summary | |
| |
| |
| |
| Point groups and their relationships | |
| |
| |
| |
| The determination of the point group of a molecule | |
| |
| |
| |
| The relationships between point groups | |
| |
| |
| |
| Correlation tables | |
| |
| |
| |
| Summary | |
| |
| |
| |
| Tetrahedral, icosahedral and spherical symmetries | |
| |
| |
| |
| An overview | |
| |
| |
| |
| The tetrahedron | |
| |
| |
| |
| The icosahedron | |
| |
| |
| |
| Spherical symmetry | |
| |
| |
| |
| Linear molecules | |
| |
| |
| |
| Summary | |
| |
| |
| |
| [pi]-Electron systems | |
| |
| |
| |
| Square cyclobutadiene and the C[subscript 4] point group | |
| |
| |
| |
| Working with complex characters[superscript 4] | |
| |
| |
| |
| The [pi] orbitals of cyclobutadiene | |
| |
| |
| |
| The energies of the [pi] orbitals of cyclobutadiene in the Huckel approximation | |
| |
| |
| |
| Symmetry and chemical reactions | |
| |
| |
| |
| Summary | |
| |
| |
| |
| The group theory of electron spin | |
| |
| |
| |
| The problem of electron spin | |
| |
| |
| |
| More about the symmetry of product functions | |
| |
| |
| |
| Configurations and terms | |
| |
| |
| |
| The inclusion of electron spin | |
| |
| |
| |
| Summary | |
| |
| |
| |
| Space groups | |
| |
| |
| |
| The crystal systems | |
| |
| |
| |
| The Bravais lattices | |
| |
| |
| |
| The crystallographic point groups | |
| |
| |
| |
| The symmorphic space groups | |
| |
| |
| |
| The non-symmorphic space groups | |
| |
| |
| |
| Unit cells | |
| |
| |
| |
| Wigner-Seitz unit cells | |
| |
| |
| |
| Summary | |
| |
| |
| |
| Spectroscopic studies of crystals | |
| |
| |
| |
| Translational invariance | |
| |
| |
| |
| The factor group and unit cell group models | |
| |
| |
| |
| Examples of use of the factor and unit cell group models | |
| |
| |
| |
| The v(CO) spectra of crystalline (C[subscript 6]H[subscript 6])Cr(CO)[subscript 3]3 | |
| |
| |
| |
| 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 | |
| |
| |
| |
| Summary | |
| |
| |
| |
| Groups and classes: definitions and examples | |
| |
| |
| |
| Groups | |
| |
| |
| |
| Some examples of groups | |
| |
| |
| |
| The classes of a group | |
| |
| |
| |
| Class algebra | |
| |
| |
| |
| Matrix algebra and group theory | |
| |
| |
| |
| Matrix algebra and symmetry operations | |
| |
| |
| |
| Direct products | |
| |
| |
| |
| Character tables of the more important point groups | |
| |
| |
| |
| The fluorine group orbitals of [pi] symmetry in SF[subscript 6] | |
| |
| |
| |
| Ligand group orbitals of complex ions | |
| |
| |
| |
| The Hermann-Mauguin notation | |
| |
| |
| |
| Non-symmorphic relatives of the point group D[subscript 2] | |
| |
| |
| |
| The space group P2[subscript 1]/C([Characters not reproducible] | |
| |
| |
| Index | |