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**Winner of a 2005 CHOICE Outstanding Academic Book Award**

Molecular symmetry is an easily applied tool for understanding and predicting many of the properties of molecules. Traditionally, students are taught this subject using point groups derived from the equilibrium geometry of the molecule.

**Fundamentals of Molecular Symmetry** shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups.

The book provides an introductory description of molecular spectroscopy and quantum mechanics as the foundation for understanding how molecular symmetry is defined and used. The approach taken gives a balanced account of using both point groups and molecular symmetry groups. Usually the point group is only useful for isolated, nonrotating molecules, executing small amplitude vibrations, with no tunneling, in isolated electronic states. However, for the chemical physicist or physical chemist who wishes to go beyond these limitations, the molecular symmetry group is almost always required.

PART 1: SPECTROSCOPY AND THE QUANTUM STATES OF MOLECULES

Molecular spectroscopy

Quantum mechanics

Electronic states

Vibrational states

Rotational states

PART 2: SYMMETRY AND SYMMETRY GROUPS

Geometrical symmetry

The symmetry of the Hamiltonian

The symmetry of rigid molecules

PART 3: APPLICATIONS OF SYMMETRY

Nuclear spin, statistical weights and hyperfine structure

The symmetry of electronic wavefunctions

The symmetry of rotation-vibration wavefunctions

Symmetry selection rules for optical transitions

The symmetry groups of non-rigid molecules

PART 4: OTHER SYMMETRIES AND SYMMETRY VIOLATION

Other symmetries

Symmetry violation

APPENDIX A: Answers to selected problems

APPENDIX B: Character tables

APPENDIX C: Books for further reading

**Winner of a 2005 CHOICE Outstanding Academic Book Award**

Molecular symmetry is an easily applied tool for understanding and predicting many of the properties of molecules. Traditionally, students are taught this subject using point groups derived from the equilibrium geometry of the molecule.

**Fundamentals of Molecular Symmetry** shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups.

The book provides an introductory description of molecular spectroscopy and quantum mechanics as the foundation for understanding how molecular symmetry is defined and used. The approach taken gives a balanced account of using both point groups and molecular symmetry groups. Usually the point group is only useful for isolated, nonrotating molecules, executing small amplitude vibrations, with no tunneling, in isolated electronic states. However, for the chemical physicist or physical chemist who wishes to go beyond these limitations, the molecular symmetry group is almost always required.

PART 1: SPECTROSCOPY AND THE QUANTUM STATES OF MOLECULES

Molecular spectroscopy

Quantum mechanics

Electronic states

Vibrational states

Rotational states

PART 2: SYMMETRY AND SYMMETRY GROUPS

Geometrical symmetry

The symmetry of the Hamiltonian

The symmetry of rigid molecules

PART 3: APPLICATIONS OF SYMMETRY

Nuclear spin, statistical weights and hyperfine structure

The symmetry of electronic wavefunctions

The symmetry of rotation-vibration wavefunctions

Symmetry selection rules for optical transitions

The symmetry groups of non-rigid molecules

PART 4: OTHER SYMMETRIES AND SYMMETRY VIOLATION

Other symmetries

Symmetry violation

APPENDIX A: Answers to selected problems

APPENDIX B: Character tables

APPENDIX C: Books for further reading

**Winner of a 2005 CHOICE Outstanding Academic Book Award**

Molecular symmetry is an easily applied tool for understanding and predicting many of the properties of molecules. Traditionally, students are taught this subject using point groups derived from the equilibrium geometry of the molecule.

**Fundamentals of Molecular Symmetry** shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups.

The book provides an introductory description of molecular spectroscopy and quantum mechanics as the foundation for understanding how molecular symmetry is defined and used. The approach taken gives a balanced account of using both point groups and molecular symmetry groups. Usually the point group is only useful for isolated, nonrotating molecules, executing small amplitude vibrations, with no tunneling, in isolated electronic states. However, for the chemical physicist or physical chemist who wishes to go beyond these limitations, the molecular symmetry group is almost always required.

PART 1: SPECTROSCOPY AND THE QUANTUM STATES OF MOLECULES

Molecular spectroscopy

Quantum mechanics

Electronic states

Vibrational states

Rotational states

PART 2: SYMMETRY AND SYMMETRY GROUPS

Geometrical symmetry

The symmetry of the Hamiltonian

The symmetry of rigid molecules

PART 3: APPLICATIONS OF SYMMETRY

Nuclear spin, statistical weights and hyperfine structure

The symmetry of electronic wavefunctions

The symmetry of rotation-vibration wavefunctions

Symmetry selection rules for optical transitions

The symmetry groups of non-rigid molecules

PART 4: OTHER SYMMETRIES AND SYMMETRY VIOLATION

Other symmetries

Symmetry violation

APPENDIX A: Answers to selected problems

APPENDIX B: Character tables

APPENDIX C: Books for further reading

**Winner of a 2005 CHOICE Outstanding Academic Book Award**

**Fundamentals of Molecular Symmetry** shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups.

PART 1: SPECTROSCOPY AND THE QUANTUM STATES OF MOLECULES

Molecular spectroscopy

Quantum mechanics

Electronic states

Vibrational states

Rotational states

PART 2: SYMMETRY AND SYMMETRY GROUPS

Geometrical symmetry

The symmetry of the Hamiltonian

The symmetry of rigid molecules

PART 3: APPLICATIONS OF SYMMETRY

Nuclear spin, statistical weights and hyperfine structure

The symmetry of electronic wavefunctions

The symmetry of rotation-vibration wavefunctions

Symmetry selection rules for optical transitions

The symmetry groups of non-rigid molecules

PART 4: OTHER SYMMETRIES AND SYMMETRY VIOLATION

Other symmetries

Symmetry violation

APPENDIX A: Answers to selected problems

APPENDIX B: Character tables

APPENDIX C: Books for further reading

**Winner of a 2005 CHOICE Outstanding Academic Book Award**

**Fundamentals of Molecular Symmetry** shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups.

PART 1: SPECTROSCOPY AND THE QUANTUM STATES OF MOLECULES

Molecular spectroscopy

Quantum mechanics

Electronic states

Vibrational states

Rotational states

PART 2: SYMMETRY AND SYMMETRY GROUPS

Geometrical symmetry

The symmetry of the Hamiltonian

The symmetry of rigid molecules

PART 3: APPLICATIONS OF SYMMETRY

Nuclear spin, statistical weights and hyperfine structure

The symmetry of electronic wavefunctions

The symmetry of rotation-vibration wavefunctions

Symmetry selection rules for optical transitions

The symmetry groups of non-rigid molecules

PART 4: OTHER SYMMETRIES AND SYMMETRY VIOLATION

Other symmetries

Symmetry violation

APPENDIX A: Answers to selected problems

APPENDIX B: Character tables

APPENDIX C: Books for further reading

**Winner of a 2005 CHOICE Outstanding Academic Book Award**

**Fundamentals of Molecular Symmetry** shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups.

PART 1: SPECTROSCOPY AND THE QUANTUM STATES OF MOLECULES

Molecular spectroscopy

Quantum mechanics

Electronic states

Vibrational states

Rotational states

PART 2: SYMMETRY AND SYMMETRY GROUPS

Geometrical symmetry

The symmetry of the Hamiltonian

The symmetry of rigid molecules

PART 3: APPLICATIONS OF SYMMETRY

Nuclear spin, statistical weights and hyperfine structure

The symmetry of electronic wavefunctions

The symmetry of rotation-vibration wavefunctions

Symmetry selection rules for optical transitions

The symmetry groups of non-rigid molecules

PART 4: OTHER SYMMETRIES AND SYMMETRY VIOLATION

Other symmetries

Symmetry violation

APPENDIX A: Answers to selected problems

APPENDIX B: Character tables

APPENDIX C: Books for further reading