An Introductory Course on Group Theory and Chemical Applications.

Intro -- AN INTRODUCTORY COURSE ON GROUP THEORY AND CHEMICAL APPLICATIONS -- AN INTRODUCTORY COURSE ON GROUP THEORY AND CHEMICAL APPLICATIONS -- CONTENTS -- PREFACE -- Chapter 1 SYMMETRY ELEMENTS AND SYMMETRY OPERATIONS -- 1. PROPER ROTATION (Cn) THROUGH AN AXIS OF SYMMETRY -- 2. REFLECTION (σ) THROUGH AMIRROR PLANE: -- 3. INVERSION (i) THROUGH A POINT -- 4. IMPROPER ROTATION (Sn) -- 5. THE IDENTITY OPERATION (E) -- Chapter 2 SYMMETRY POINT GROUPS -- CLASSIFICATION OF SYMMETRY GROUPS -- 1. Simple Groups of Order 2 -- 2. Cn Groups -- 3. SnGroups -- 4. Cnv Groups -- 5. Cnh Groups: -- 6. Dn Groups -- 7. Dnh Groups -- 8. DndGroups -- 9. High Symmetry Groups -- Chapter 3 REPRESENTATIONS AND CHARACTER TABLES -- IRREDUCIBLE REPRESENTATIONS -- REDUCIBLE REPRESENTATIONS -- MULLIKEN LABELS -- Exercises -- Chapter 4 APPLICATIONS TO CHEMICAL BONDING -- A. FINDING HYBRID ORBITALS -- B. MOLECULAR ORBITAL ENERGY LEVEL DIAGRAMS -- C. THE PROJECTION OPERATOR METHOD -- Example: -- Solution: -- Exercises: -- Chapter 5 APPLICATIONS TO VIBRATIONAL SPECTRA -- GROUP THEORETICAL TREATMENT OF VIBRATIONAL SPECTRA -- GROUP THEORETICAL TREATMENT OF PARTICULAR VIBRATIONAL MODES -- Example: -- Solution: -- Exercises: -- APPENDIX A -- INTRODUCTION TO MATRICES -- What Are Matrices? -- Matrix Multiplication: -- Matrix Representations -- APPENDIX B -- CHARACTER TABLES FOR SELECTED SYMMETRY GROUPS -- 1. Low Symmetry Non-Axial Groups: -- 2. The Cn Groups -- 3. The Dn Groups -- 4. The Cnv Groups -- 5. The Cnh Groups -- 6. The Dnh Groups* -- 7. The Dnd Groups -- 8. The Sn Groups -- 9. The Cubic Groups -- 10. Linear Groups -- REFERENCES FOR FURTHER READING -- INDEX -- Blank Page.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.