## Molecular Symmetry and Group Theory: A Programmed Introduction to Chemical ApplicationsThis substantially revised and expanded new edition of the bestselling textbook, addresses the difficulties that can arise with the mathematics that underpins the study of symmetry, and acknowledges that group theory can be a complex concept for students to grasp. Written in a clear, concise manner, the author introduces a series of programmes that help students learn at their own pace and enable to them understand the subject fully. Readers are taken through a series of carefully constructed exercises, designed to simplify the mathematics and give them a full understanding of how this relates to the chemistry. This second edition contains a new chapter on the projection operator method. This is used to calculate the form of the normal modes of vibration of a molecule and the normalised wave functions of hybrid orbitals or molecular orbitals. The features of this book include: * A concise, gentle introduction to symmetry and group theory * Takes a programmed learning approach * New material on projection operators, and the calcultaion of normal modes of vibration and normalised wave functions of orbitals This book is suitable for all students of chemistry taking a first course in symmetry and group theory. |

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### Contents

Point Groups | 22 |

Nondegenerate Representations | 46 |

Matrices | 65 |

Copyright | |

6 other sections not shown

### Other editions - View all

Molecular Symmetry and Group Theory: A Programmed Introduction to Chemical ... Alan Vincent No preview available - 1977 |

### Common terms and phrases

7r-bonding a2 and a3 applying arrows atomic orbitals basis bond stretching vibrations boron C2 axes c2 r(xz c2v E c2 character table clockwise co-ordinate commute correlation diagram degenerate representation directional properties energy find the characters Find the number find the symmetries frames gonal group operations Group Theory horizontal plane hybrid orbitals hydrogen identity infrared inversion centre irreducible labelled linear combinations look mark 1 mark matrix representing modes of vibration molecular orbitals molecular symmetry molecular vibrations Non-degenerate Representations normalised number represents opera orbitals suitable orthogonal oscillating dipole plane of symmetry point group projection operator method px and py py orbitals r(yz Raman active Reduce this representation reducible representation repre result Revision Notes sentation set of numbers set of symmetry set of vectors symbol symmetry elements symmetry operations symmetry species tion unshifted vectors vertical planes vibrational modes water molecule wave functions Write XeF4