TY - BOOK AU - Hilal,Hikmat S. AU - Sayda,Abed Al-Hafez TI - An Introductory Course on Group Theory and Chemical Applications T2 - Chemistry Research and Applications SN - 9781621002475 AV - QD455.3.G75 -- H55 2011eb U1 - 540.1/5122 PY - 2011/// CY - Hauppauge PB - Nova Science Publishers, Incorporated KW - Group theory KW - Chemical bonds KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3021807 ER -