Algebraic foundation of maximal finite group of 3 dimentional cryatallography
文献类型:期刊论文
作者 | Ye, XR; Cao, YA; Yang, QB |
刊名 | ACTA PHYSICA SINICA
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出版日期 | 2001-06-01 |
卷号 | 50页码:1139-1144 |
关键词 | crystallography symmetry group finite group |
ISSN号 | 1000-3290 |
英文摘要 | Four arithmetic non-equivalent metric tenser matrices, T-1 = (0(0)(1) 1(0)(0) 0(1)(0)), T-2 = (1(0)(2) 2(0)(1) 0(2)(0)), T-3 = (1(1)(2) 2(1)(1) 1(2)(1)) and T-4 = (-1(-1)(3) 3(-1)(-1) -1(3)(-1)) have been derived in this paper according to a crystallographic general equation (N) over tilde TN> = T. T-1, T-3 and T-4 are geometric equivalent ones, therefore, only T-1 and T-2 are geometric non-equivalent ones.Substituting T-1 and T-2 into (N) over tilde TN = T, two maximal finite groups can be derived, which have 48 and 24 elements respectively and belong to two crystallographic point groups. The other 30 point groups can be derived according to group-subgroup relationship. |
WOS研究方向 | Physics |
语种 | 英语 |
WOS记录号 | WOS:000169036700026 |
出版者 | CHINESE PHYSICAL SOC |
源URL | [http://119.78.100.186/handle/113462/37455] ![]() |
专题 | 中国科学院近代物理研究所 |
通讯作者 | Ye, XR |
作者单位 | 1.Xiangtan Univ, Inst Modern Phys, Xiangtan 411105, Peoples R China 2.Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China |
推荐引用方式 GB/T 7714 | Ye, XR,Cao, YA,Yang, QB. Algebraic foundation of maximal finite group of 3 dimentional cryatallography[J]. ACTA PHYSICA SINICA,2001,50:1139-1144. |
APA | Ye, XR,Cao, YA,&Yang, QB.(2001).Algebraic foundation of maximal finite group of 3 dimentional cryatallography.ACTA PHYSICA SINICA,50,1139-1144. |
MLA | Ye, XR,et al."Algebraic foundation of maximal finite group of 3 dimentional cryatallography".ACTA PHYSICA SINICA 50(2001):1139-1144. |
入库方式: OAI收割
来源:近代物理研究所
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