Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/applications-of-symmetry-and-group-theory-for-the-investigation-of-wMAB2E8AQ3
References (28)
-
G. Herzberg (1966)
Molecular spectra and molecular structure. Vol.3: Electronic spectra and electronic structure of polyatomic molecules -
J. Ogden (2001)
Introduction to Molecular Symmetry -
(1962)
Representations of Finite Groups and Associate Algebras -
(1995)
D—The Great Orthogonality Theorem, pp -
W. Garner, J. Lennard-Jones
Molecular Spectra and Molecular StructureNature, 124
-
G. Murphy (1964)
Chemical Applications of Group Theory.Journal of the American Chemical Society, 86
-
D. Bishop, D. Klein (1973)
Group Theory and Chemistry -
Shoon-Kyung Kim (1999)
Group Theoretical Methods and Applications to Molecules and Crystals: Time reversal, anti-unitary point groups and their co-representations -
G. Herzberg (1945)
Molecular spectra and molecular structure. Vol.2: Infrared and Raman spectra of polyatomic molecules -
K. Narang (1994)
Group Theory in Chemistry and Physics -
Goong Chen, J. Laane, S. Wheeler, Zhigang Zhang (2011)
Greenhouse Gas Molecules: A Mathematical PerspectiveNotices of the American Mathematical Society, 58
-
S.K. Kim (1999)
Group Theoretical Methods and Applications to Molecules and Crystals -
R. Flurry (1980)
Symmetry groups : theory and chemical applications -
G. Herzberg (1955)
Book Reviews: Molecular Vibrations. The Theory of Infrared and Raman Vibrational SpectraScience, 122
-
E.B. Wilson, J.C. Decius, P.C. Cross (1955)
Molecular Vibrations: The Theory of Infrared and Raman Vibrational Spectra -
R. Carter (1997)
Molecular symmetry and group theory -
G. Herzberg (1950)
Molecular Spectra and Molecular Structure: I. Spectra of Diatomic Molecules -
Boris T︠S︡ukerblat (2006)
Group Theory in Chemistry and Spectroscopy: A Simple Guide to Advanced Usage -
D. Harris, M. Bertolucci (1989)
Symmetry and spectroscopy : an introduction to vibrational and electronic spectroscopy -
M. Tinkham (1964)
Group Theory and Quantum Mechanics -
M. Nakazaki (1976)
Chemistry and Symmetry: Introduction to Group Theory -
P. Bunker, P. Jensen (2004)
Fundamentals of Molecular Symmetry -
K. Molloy (2004)
Group Theory for Chemists: Fundamental Theory and Applications -
Randall Holmes (2008)
Linear Representations of Finite Groups -
S. Kettle (2007)
Symmetry and structure : readable group theory for chemists -
M. Hargittai, I. Hargittai (2005)
Symmetry in chemistryEuropean Review, 13
-
P. Walton (1998)
Beginning Group Theory for Chemistry -
A. Vincent (1977)
Molecular symmetry and group theory: A programmed introduction to chemical Applications
- Publisher
- Springer Journals
- Copyright
- Copyright © 2012 by Springer Science+Business Media B.V.
- Subject
- Mathematics; Theoretical, Mathematical and Computational Physics; Computer Science, general; Mathematics, general; Statistical Physics, Dynamical Systems and Complexity; Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-012-9675-5
- Publisher site
- See Article on Publisher Site
Abstract
The application of symmetry and mathematical group theory is a powerful tool for investigating the vibrations of molecules. In this paper, we present an overview of the methods utilized. First we briefly discuss the quantum mechanical nature of vibrations and the experimental methods used. We then present the principal concepts for applying group theory to molecules. The symmetry operations which are used to comprise groups are described and then used to determine the point groups of molecules. The properties of character tables are presented and the method for obtaining a reducible representation for all the motions of a molecule is detailed. This can then be broken down to obtain the irreducible representation which contains the symmetry species of the individual vibrations. The determination of symmetry adapted linear combinations is outlined and the basis for spectroscopic selection rules is presented. The paper concludes by examining how matrix algebra along with symmetry concepts simplifies calculations with molecular force constants.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Feb 8, 2012