GRAPH-THEORETICAL PERCEPTION OF MOLECULAR SYMMETRY

被引:58
作者
BALASUBRAMANIAN, K
机构
[1] Department of Chemistry and Biochemistry, Arizona State University, Tempe
关键词
D O I
10.1016/0009-2614(94)01382-6
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
It is shown that the molecular symmetry groups can be obtained as the automorphism groups of edge-weighted Euclidean graphs. Graph theory provides an elegant and natural representation of molecular symmetry. The resulting group expressed in terms of permutations is isomorphic to the permutation-inversion group of Longuet-Higgins or the permutational subgroup in case inversion operations do not generate new permutations.
引用
收藏
页码:415 / 423
页数:9
相关论文
共 20 条
[1]   UNIQUE DESCRIPTION OF CHEMICAL STRUCTURES BASED ON HIERARCHICALLY ORDERED EXTENDED CONNECTIVITIES (HOC PROCEDURES) .1. ALGORITHMS FOR FINDING GRAPH ORBITS AND CANONICAL NUMBERING OF ATOMS [J].
BALABAN, AT ;
MEKENYAN, O ;
BONCHEV, D .
JOURNAL OF COMPUTATIONAL CHEMISTRY, 1985, 6 (06) :538-551
[2]   SYMMETRY GROUPS OF CHEMICAL GRAPHS [J].
BALASUBRAMANIAN, K .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1982, 21 (02) :411-418
[3]   APPLICATIONS OF COMBINATORICS AND GRAPH-THEORY TO SPECTROSCOPY AND QUANTUM-CHEMISTRY [J].
BALASUBRAMANIAN, K .
CHEMICAL REVIEWS, 1985, 85 (06) :599-618
[4]   GRAPH THEORETICAL CHARACTERIZATION OF NMR GROUPS, NONRIGID NUCLEAR-SPIN SPECIES AND THE CONSTRUCTION OF SYMMETRY ADAPTED NMR SPIN FUNCTIONS [J].
BALASUBRAMANIAN, K .
JOURNAL OF CHEMICAL PHYSICS, 1980, 73 (07) :3321-3337
[5]   COMPUTATIONAL TECHNIQUES FOR THE AUTOMORPHISM-GROUPS OF GRAPHS [J].
BALASUBRAMANIAN, K .
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1994, 34 (03) :621-626
[6]   A METHOD FOR NUCLEAR-SPIN STATISTICS IN MOLECULAR-SPECTROSCOPY [J].
BALASUBRAMANIAN, K .
JOURNAL OF CHEMICAL PHYSICS, 1981, 74 (12) :6824-6829
[7]   OPERATOR AND ALGEBRAIC METHODS FOR NMR-SPECTROSCOPY .2. NMR PROJECTION OPERATORS AND SPIN FUNCTIONS [J].
BALASUBRAMANIAN, K .
JOURNAL OF CHEMICAL PHYSICS, 1983, 78 (11) :6369-6376
[8]   OPERATOR AND ALGEBRAIC METHODS FOR NMR-SPECTROSCOPY .1. GENERATION OF NMR SPIN SPECIES [J].
BALASUBRAMANIAN, K .
JOURNAL OF CHEMICAL PHYSICS, 1983, 78 (11) :6358-6368
[9]  
BALASUBRAMANIAN K, 1980, J CHEM PHYS, V72, P65
[10]  
Balasubramanian K., 1983, STUDIES PHYS THEORET, P243