On Some Point Groups
Pure and Applied Mathematics Journal
Volume 4, Issue 2-1, March 2015, Pages: 42-46
Received: Feb. 1, 2015; Accepted: Feb. 1, 2015; Published: Feb. 12, 2015
Views 2904      Downloads 144
Authors
Y. Sun, Dept. of Electr. Engrg, Kyushu Inst. Techn., 1-1 Senshuimachi, Tobata, Kitakyushu, Fukuoka 804-8550, Japan
S. Kanemitsu, Grad. School of Adv. Tech., Kinki Univ.,11-6 Kayanomori, Iizuka, Fukuoka 820-2555, Japan
H. Kitajima, Grad. School of Sci. & Engrg, Saga Univ.,1 Honjocho, Saga840-8502, Japan
Article Tools
Follow on us
Abstract
In this note, we indicate the coincidence as abstract groups of some point groups which belong to different molecular orbitals. This elucidates somewhat vague presentation in many existing textbooks on molecular orbitals, thus abridging between group theory and quantum chemistry.
Keywords
Point Group Molecular Orbitals, Symmetry Transformations: Characters
To cite this article
Y. Sun, S. Kanemitsu, H. Kitajima, On Some Point Groups, Pure and Applied Mathematics Journal. Special Issue: Abridging over Troubled Water---Scientific Foundation of Engineering Subjects. Vol. 4, No. 2-1, 2015, pp. 42-46. doi: 10.11648/j.pamj.s.2015040201.18
References
[1]
M. A. Armstrong, Groups and symmetry, Springer, New York-Berlin etc. 1988.
[2]
D. M. Bishop, Group theory and chemistry, OUP, Oxford 1973; 2nd ed. Dover, New York 1993.
[3]
A. Carbone and M. Gromov, A mathematical slices of molecular biology, Supplement to volume 88 of Gazette des Mathématiciens, French Math. Soc. (SMF), Paris 2001.
[4]
J. H. Conway, Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups, Cambridge UP, Cambridge 1985.
[5]
Theo Hahn, International tables for crystallography, Reidel Publ. Co. 1983.
[6]
H. Kitajima and S. Kanemitsu, Math-Phys-Chem approaches to life, Intern. J. Math. Math. Sci., Volume 2012, Article ID 371825, 29 pages (doi:10.1155/2012/371825), published May 13, 2012.
[7]
G. F. Koster, Space groups and their representations, Academic Press, New York1957.
[8]
K. Morikawa, A new view point of solid structure of proteins, Kodan-sha, Tokyo 1991 (in Japanese)
[9]
M. Nakasaki, Symmetry of molecules and group theory Tokyo Kagaku-dohjin, Tokyo1973 (in Japanese).
[10]
M. Ohiwa, Group theory and molecules, Kagaku-dohjin, Tokyo 1969 (in Japanese).
[11]
M. Ohya and S. Matsunaga, Coding and genes, J. Electr. Inf. Comm, Soc. J74-A (1991), 1075-1084 (in Japanese).
[12]
A. D. Thomas and G.V. Wood, Group tables, Shiva Publ. Ltd, Orpington 1980.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186