UID:
almafu_9958128899102883
Umfang:
1 online resource (441 p.)
ISBN:
0-323-15025-X
Inhalt:
Molecular Symmetry and Spectroscopy
Anmerkung:
Description based upon print version of record.
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Front Cover; Molecular Symmetry and Spectroscopy; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; INTRODUCTION; Bibliographical Notes; CHAPTER 1. PERMUTATIONS AND PERMUTATION GROUPS; Permutations; The Successive Application of Permutations; Permutation Groups; The Complete Nuclear Permutation Group of a Molecule; Bibliographical Notes; CHAPTER 2. THE INVERSION OPERATION AND PERMUTATION INVERSION GROUPS; The Inversion Operation and Parity; Combining Permutations with the Inversion; The Detailed Effects of P and P* Operations; Summary
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CHAPTER 3. ROTATION GROUPS AND POINT GROUPSRotational Symmetry and the Rotation Group; Reflection Symmetry and the Point Group; The Point Group Symmetry of Molecules; The Rotation Group Symmetry of Molecules; Discussion; Bibliographical Notes; CHAPTER 4. REPRESENTATIONS OF GROUPS; Matrices and Matrix Groups; Isomorphism and Faithful Representations; Homomorphism and Unfaithful Representations; Equivalent and Irreducible Representations; Reduction of a Representation; Conjugate Elements and Classes; Bibliographical Notes
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CHAPTER 5. THE USE OF REPRESENTATIONS FOR LABELING MOLECULAR ENERGY LEVELSA Molecular Schrödinger Equation in (X, Y, Z) Coordinates; The Effects of Nuclear Permutations and the Inversion on the Schrödinger Equation; The Symmetry of a Product; The Use of Symmetry Labels and the Vanishing Integral Rule; Diagonalizing the Hamiltonian Matrix; Appendix 5-1: Proof That the Matrices D[R] Generated in Eq. (5-49) Are Representations; Appendix 5-2: Projection Operators; Appendix 5-3: Addendum to Problem 5-2; Bibliographical Notes; CHAPTER 6. THE MOLECULAR HAMILTONIAN AND ITS TRUE SYMMETRY
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The Molecular HamiltonianThe Full Symmetry Group of the Molecular Hamiltonian; Basis Functions and Basis Function Symmetry; Discussion; Bibliographical Notes; CHAPTER 7. THE COORDINATES IN THE ROVIBRONIC SCHRÖDINGER EQUATION; The Rovibronic Schrödinger Equation; Two Methods for Changing Coordinates in a Schrödinger Equation; Introduction to the Molecule Fixed Axis System; The Diatomic Molecule; Rigid Nonlinear Polyatomic Molecules; Bibliographical Notes; CHAPTER 8. THE ROVIBRONIC WAVEFUNCTIONS; The Born-Oppenheimer Approximation; The Electronic Wavefunctions
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The Rotation-Vibration Schrödinger EquationThe Rigid Rotor Schrödinger Equation; The Harmonic Oscillator Schrödinger Equation; Summary; Bibliographical Notes; CHAPTER 9. THE DEFINITION OF THE MOLECULAR SYMMETRY GROUP; The Complete Nuclear Permutation Inversion Group; The Molecular Symmetry Group; The Character Tables and Correlation Tables of MS Groups; The MS Group for Levels of More Than One Electronic State; Summary; Bibliographical Note; CHAPTER 10. THE CLASSIFICATION OF MOLECULAR WAVEFUNCTIONS IN THE MOLECULAR SYMMETRY GROUP; The Classification of the Complete Internal Wavefunction
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The Classification of the Nuclear Spin Wavefunctions and the Determination of Nuclear Spin Statistical Weights
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English
Weitere Ausg.:
ISBN 0-12-141350-0
Sprache:
Englisch