Molecular symmetry with quaternions

Spectrochimica Acta - Part A: Molecular and Biomolecular Spectroscopy

Volumn 57, Issue 10, 2001, Pages 1919-1930

  Fritzer, Harald P ^a  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Application to icosahedral symmetry; Automorphism properties; Conical rotations; Correlations with the reflections and the spatial inversion; Matrix representations in SO(4) and SU(2); Quaternion calculus

Indexed keywords

ARTICLE; MATHEMATICS; MECHANICS; PHYSICS; THEORETICAL MODEL;

MATHEMATICS; MECHANICS; MODELS, THEORETICAL; PHYSICS;

ALGEBRA; VECTORS;

CONICAL ROTATIONS; MOLECULAR SYMMETRY; QUATERNIONS;

MOLECULAR STRUCTURE;

EID: 0035450212     PISSN: 13861425     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1386-1425(01)00477-2     Document Type: Article

References (7)

1. B.L. van der Waerden, A History of Algebra, Springer, New York, 1985.
2. S.L. Altmann, Rotations, Quaternions, and Double Groups, Clarendon Press, Oxford, 1986.
3. H. Weyl, Symmetry, Princeton University Press, Princeton, New Jersey, 1952.
4. H.P. Fritzer, Physica 114A (1982) 477 (See footnote).
5. H. Goldstein, Classical Mechanics, 3rd ed., Addison-Wesley Publ. Co, Reading, MA (USA), 1980.
6. M. Tinkham, Group Theory and Quantum Mechanics, McGraw-Hill, New York, 1964.
7. H.P. Fritzer, Some abstract group theory revisited and characteristic applications, in: J. Donini (Ed.), Recent Advances in Group Theory and their Applications to Spectroscopy, Plenum Press, New York, 1979, p. 179.