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Introduction to the Chemical Applications of Group Theory Notes, Part 1

By Laverman, L.E.

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Book Id: WPLBN0003761056
Format Type: PDF eBook :
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Reproduction Date: 2015

Title: Introduction to the Chemical Applications of Group Theory Notes, Part 1  
Author: Laverman, L.E.
Language: English
Subject: Programming, Mathematics, Groups Theory
Collections: Technical eBooks and Manuals Collection, Technical Books Center Collection
Publication Date:
Publisher: Technical Books Center


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Laverman, L. (n.d.). Introduction to the Chemical Applications of Group Theory Notes, Part 1. Retrieved from

Description: These lecture notes have been derived from several sources including “Group Theory and Chemistry” by David M. Bishop (ISBN-13: 978-0-486-67355-4) and Chemical Applications of Group Theory by F. Albert Cotton (ISBN-10: 0-471-17570-6).

Table of Contents
TOC : Introduction - Symmetry Elements and Symmetry Operations - Identity (E) - Rotation (C ) - Reflection (σ) - Inversion (i) - Improper Rotation (S) - Immediate Applications of Symmetry - Symmetry Operations - Algebra of Operators - Special case of linear operators - Algebra of linear operators - Sum Law - Product Law - Associative Law - Distributive Law - Algebra of Symmetry Operators - Definition of a Group - Summary - Example Groups - Group Multiplication Tables - Rearrangement Theorem - Classes - Similarity Transforms - Homework Set 1 - Point Groups - Classification of Point Groups - Systematic Method to Assign Point Groups - Classes in Symmetry Point Groups - Homework Set 2 - Properties of Matrices - Matrix math basics - Matrix Representations of Symmetry Operations - Vectors and Scalar Products - Representations of Groups - The Great Orthogonality Theorem - Irreducible Representations - The Reduction Formula - Character Tables - Region I – Mulliken Symbols for Irreducible Representations - Region II – Characters - Region III – Translations and Rotations - Region IV– Binary Products - Writing Chemically Meaningful Representations - Vibrations - Selection Rules for Vibrations - Selection Rules for Raman Spectroscopy - Normal Coordinate Analysis - IR and Raman Spectra of CH4 and CH3F - Homework Set 3 - Projection Operator - Bonding Theories - Lewis Bonding Theory - VSEPR – Valence Shell Electron Pair Repulsion Theory - Valance Bond Theory - Hybrid Orbital Theory - Molecular Orbital Theory - Quantum mechanical description of orbitals - Group Theory and Quantum Mechanics - LCAO Approximation - π electron Approximation - Hückel π Orbital Method - Hückel Orbitals for Nitrite - Hückel MO’s for Cyclobutadiene - Hückel MO’s for Boron Trifluoride - Homework Set 4 – Final Exam.


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