TOPOLOGY AND STABILITY OF TRIVALENT POLYHEDRAL CLUSTERS

被引:10
作者
JIANG, YS [1 ]
SHAO, YH [1 ]
KIRBY, EC [1 ]
机构
[1] RESOURCE USE INST,PITLOCHRY PH16 5DS,PERTH,SCOTLAND
来源
FULLERENE SCIENCE AND TECHNOLOGY | 1994年 / 2卷 / 04期
关键词
D O I
10.1080/15363839408010483
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
An algorithm to generate the molecular graphs of the trivalent clusters is presented. All the polyhedral trivalent cages with 4-16 vertices are enumerated, with particular attention being given to their symmetry, spectra and stability. The relative stability of isomers is not decided solely by their symmetry. A new kind of spectral phenomenon is reported. This is the occurrence of graphs having the same HOMO-LUMO gap, the same E pi and the same even-order moments. We refer to it as 'pseudo-isospectrality'.
引用
收藏
页码:481 / 497
页数:17
相关论文
共 15 条
[1]  
[Anonymous], 2018, CHEM GRAPH THEORY
[2]  
BALONE P, 1990, PHYS REV B, V42, P3201
[3]  
Harary F., 1994, GRAPH THEORY, P11, DOI [DOI 10.21236/AD0705364, 10.1201/9780429493768, DOI 10.1201/9780429493768]
[4]  
HOSOYA H, 1992, S P YOKOHAMA
[5]  
KIRBY EC, 1993, CROAT CHEM ACTA, V66, P13
[6]   A GENERAL-METHOD FOR FINDING PRINCIPAL RESONANCE STRUCTURES FOR CONJUGATED SYSTEMS BY SEMI-RANDOM SEARCHING OF AN ADJACENCY MATRIX [J].
KIRBY, EC .
COMPUTERS & CHEMISTRY, 1985, 9 (02) :155-163
[7]   TOROIDAL POLYHEXES [J].
KIRBY, EC ;
MALLION, RB ;
POLLAK, P .
JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS, 1993, 89 (12) :1945-1953
[8]  
KIRBY EC, 1993, UNPUB
[9]   GENERATION OF CARBON-CAGE POLYHEDRA [J].
LIU, X ;
KLEIN, DJ ;
SCHMALZ, TG ;
SEITZ, WA .
JOURNAL OF COMPUTATIONAL CHEMISTRY, 1991, 12 (10) :1252-1259
[10]   THE GRAPH ISOMORPHISM-PROBLEM [J].
LIU, X ;
KLEIN, DJ .
JOURNAL OF COMPUTATIONAL CHEMISTRY, 1991, 12 (10) :1243-1251