Description
Book SynopsisThe main goal of this book is to give a systematic description of intramolecular quantum dynamics on the basis of only the symmetry principles. In this respect, the book has no analogs in the world literature. This approach does not introduce a configuration space of the molecular system in explicit form at all and, consequently, does not consider in explicit form the wave functions of the coordinates of this space. However, precisely because of its deep philosophical and technical difference this approach is the only possible for the solution of many topical problems of the internal dynamics of molecules. The obtained models lead to a simple, purely algebraic, scheme of calculation and are rigorous in the sense that their correctness is limited only to the correct choice of symmetry of the internal dynamics. The book is basically intended for scientists working in the field of molecular spectroscopy, quantum and structural chemistry. The reader is not supposed to know the apparatus of group representation theory needed for application of symmetry methods in quantum intramolecular dynamics since the first part of the book is dedicated to it.
Table of ContentsPart I. Foundations of the mathematical apparatus Chapter 1.Basic concepts of the theory of groups Chapter 2.Basic concepts of the theory of group representations Chapter 3.Permutation group Chapter 4.Continuous groups Chapter 5.Point groups Chapter 6.Dynamic groups Part II. Qualitative intramolecular quantum dynamics Chapter 7.The philosophy of using the symmetry properties of internal dynamics Chapter 8.Internal dynamics of rigid molecules Chapter 9.Molecules with nonrigid exchange-type transitions Chapter 10.Mole-cules with nonrigid nonexchange-type transitions between equivalent configurations Chapter 11.On the meaning of the Born — Oppenheimer approximation Chapter 12.Mole-cules with nonrigid exchange- and nonexchange-type transitions between equivalent configurations Chapter 13.Molecules with different isometric forms in one electron state Chapter 14.Mole-cules with different isometric forms in different electron states Chapter 15.Alge-braic models of global description of molecule spectrum Conclusion Appendices I.Tables of characters of permutation groups II.Tables of characters of point groups III.Tables of nuclear statistical weights IV.Classification of normal vibrations of rigid molecules Index of molecular systems Bibliography
