An introductory course on group theory and chemical applications / Hikmat S. Hilal and Abed Al-Hafez Sayda.

Format:

Book

Author/Creator:

Hilal, Hikmat S.

Contributor:

Sayda, Abed Al-Hafez.

Series:

Chemistry research and applications series.

Mathematics research developments series.

Chemistry research and applications

Mathematics research developments

Language:

English

Subjects (All):

Group theory.

Chemical bonds.

Physical Description:

1 online resource (95 p.)

Edition:

1st ed.

Place of Publication:

New York : Novinka, c2011.

Language Note:

English

Summary:

Group theory is conventionally taught in a one-semester course at the senior/graduate level for science students. For such a purpose, many textbooks, dealing with rigors of derivations and theorems, have been written to give in-depth treatment. For one reason or another, scientists with no prior knowledge of group theory may need quick familiarity with the subject, without mathematical derivation rigors. This book has been written for this purpose, based on lecture notes given to senior/graduate students who need to deal with bonding theories and spectroscopy, without pre-knowledge of group theory.

Contents:

Intro

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

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.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-62100-247-0

OCLC:

923667019