Wilson E.B., Decius J.C., Cross P.C. Molecular Vibrations: The Theory of Infrared and Raman Vibrational Spectra

McGraw-Hill Book Company, Inc., USA, 1955. – 400 p. – ISBN: 048663941X, 0070708509.Because of its connection with laser technology, the theory of infrared and Raman vibrational spectra is even more important now than when this book was first published. As the pioneering text in the field and as the text still preferred today, Molecular Vibrations is the undeniable choice of anyone teaching or studying molecular spectroscopy at the graduate level. It is the only book of its kind in the area written by well-known scientists, and besides its value as a pedagogical classic, it is an essential reference for anyone engaged in research.
The genius of the book is its rigorous, elegant treatment of the mathematics involved in detailed vibrational analyses of polyatomic molecules. The reader is led carefully and gradually through the main features of the theory and its methods: starting from a valuable introduction to the theory of molecular vibrations and the application of wave mechanics to this subject; leading into the mathematical methods devised by Professor Wilson and his students for handling the mathematical problems and for making use of symmetry and group theory; proceeding through vibrational selection rules and intensities, potential functions and methods of solving the secular determinant; and concluding with a sample vibrational analysis of the molecule of benzene. Sixteen appendices, comprising nearly one hundred pages, offer much extremely useful information that is more clearly understood outside the body of the text.The Vibration of Molecules
Wave Mechanics and the Vibration of Molecules
More Advanced Methods of Studying Vibrations
Symmetry Considerations
Applications of Group Theory to the Analysis of Moleculab Vibrations
Vibrational Selection Rules and Intensities
Potential Functions
Methods of Solving the Seculak Determinant
A Sample Vibrational Analysis: The Benzene Molecule
The Separation ok Rotation and Vibration
Appendixes
Coordinate Systems and Eulerian Angles
Justification of the Procedure used in Section 2-2 for Obtaining Normal Vibrations
Hermite Polynomials and Some Integrals Involving the Harmonic Oscillator Wave Functions
Averages of Direction Cosines Over All Orientations
A Summary of Matrix Notation
A Tabulation of G Matrix Elements
Connection Between G Matrix and Kinetic Energy
Matrix Treatment of Normal Coordinate Problem
The Separation of High and Low Frequencies
Some Properties of Group Representations; Character Tables and Correlation Tables