Introductory Group Theory and Its Application to Molecular Structure

Introductory Group Theory and Its Application to Molecular Structure

by John Ferraro

Paperback(Softcover reprint of the original 1st ed. 1975)

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Product Details

ISBN-13: 9781468487978
Publisher: Springer US
Publication date: 11/26/2012
Edition description: Softcover reprint of the original 1st ed. 1975
Pages: 292
Product dimensions: 5.98(w) x 9.02(h) x 0.03(d)

Table of Contents

1 Symmetry.- 1–1. Introduction.- 1–2. Definition of Symmetry.- 1–3. Symmetry in Science.- 1–4. Symmetry in Structural Chemistry.- A. Point Symmetry Elements.- B. Point Groups.- C. Rules for Classification of Molecules into Point Groups.- D. The Character Table.- E. Space Symmetry.- Problems.- References.- 2 Derivation of Selection Rules.- 2–1. Selection Rules for Isolated Molecules.- A. The Td
Point Group.- B. Linear Molecules.- C. Selection Rules for A3 to A8 Molecules.- D. Forbidden Vibrations for Several Point Groups.- 2–2. Selection Rules for Systems Involving Translations.- A. The Method of Bhagavantam and Venkatarayudu.- B. The Halford-Hornig Site Group Method.- C. Comparison of the BV and HH Methods.- D. Unambiguous Choice of Site Symmetry in the Bravais Unit Cell.- 2–3. Examples of the Halford-Hornig Site Group Method.- Problems.- References.- Recent Correlation Bibliography.- 3 Potential Force Fields.- 3–1. Introduction.- 3–2. Of What Value to Chemistry Is the Solution of Force Field Problems?.- 3–3. General Procedure in Determining Frequencies from Force Constants and Vice Versa.- References.- 4 The Normal Coordinate Treatment for Molecules with C2v, C3v, and Oh Symmetry.- 4–1. Procedure Necessary in the NCT Method.- 4–2. Normal Coordinate Treatment of H2O (C2v Symmetry).- 4–3. Normal Coordinate Treatment of NH3 (C3v Symmetry).- 4–4. Normal Coordinate Treatment of UF6 (Oh
Symmetry).- 4–5. Some Results of NCT of Molecules.- 4–6. The Product Rule.- 4–7. The Sum Rule.- 4–8. Summary.- Problems.- References.- 5 Applications of Group Theory for the Determination of Molecular Structure.- 5–1. Introduction.- 5–2. Procedure Used in Determining the Structure of a Molecule.- 5–3. Examples Illustrating the Use of Group Theory in Determining Molecular Structure.- 5–4. Practice Problem.- Problems.- References.- Appendix 1.- Character Tables.- Appendix 2.- Description of Symbolism Used in the International Tables for X-Ray Crystallography.- Appendix 3.- Site Symmetries for the 230 Space Groups.- Appendix 4.- Correlation Tables.- Appendix 5.- Elementary Mathematics.- Appendix 6.- Appendix 7.- General Method of Obtaining Molecular Symmetry Coordinates.- Appendix 8.- Calculation of Thermodynamic Functions from Vibrational-Rotational Spectra.- Appendix 9.- Diagrams of Normal Vibrations for Common Point Groups.- Appendix 10.- Derivation of the Characters Necessary for Selection Rules.- Appendix 11.- Updated Bibliography.

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