On the Classification of the Finite Subgroups of SO(3)

被引：0

作者：

Zeng, Lijiang ^{[1
]}

机构：

[1] Zunyi Normal Coll, Dept Math, Zunyi 563002, Guizhou, Peoples R China

来源：

INTERNATIONAL CONFERENCE ON ENGINEERING AND BUSINESS MANAGEMENT (EBM2011), VOLS 1-6 | 2011年

关键词：

symmetry groups; crystals; orbit; k-fold principal; polygon in space;

D O I：

暂无

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In our article, we introduce some concepts about rotation, orbit, Hermann-Mauguin (H-M) notation, k-fold principal, and so on. We have done lots of inferences about SO(3) and in the end completed the classification of the finite subgroups of SO(3). Since the determination of the possible symmetry groups of crystals and of molecules depends on the classification of the finite subgroups of SO(3), this is an interesting works.

引用

页码：2289 / 2292

页数：4

共 46 条

[11] Implementation of Phase Transitions in Rb3H(SO4)2 under K Substitution
Timakov, Ivan S.
Komornikov, Vladimir A.
Selezneva, Elena V.
Grebenev, Vadim V.
CRYSTALS, 2023, 13 (09)
[12] Nonpolar Na10Cd(NO3)4(SO3S)4 Exhibits a Large Second-Harmonic Generation
Liu, Youchao
Liu, Youquan
Lin, Zheshuai
Li, Yanqiang
Ding, Qingran
Chen, Xin
Li, Lina
Zhao, Sangen
Hong, Maochun
Luo, Junhua
CCS CHEMISTRY, 2022, 4 (02): : 526 - 531
[13] Molecular Relaxation of Binary Systems LiNO3-LiClO4, NaNO3-NaNO2, K2CO3-K2SO4
Aliev, A. R.
Akhmedov, I. R.
Kakagasanov, M. G.
Aliev, Z. A.
Amirov, A. M.
JOURNAL OF STRUCTURAL CHEMISTRY, 2018, 59 (01) : 80 - 86
[14] A description of torsional motions of exchange and nonexchange types in the trimethylborane molecule B(CH3)3: Classification of stationary states
Burenin, A. V.
OPTICS AND SPECTROSCOPY, 2013, 115 (05) : 623 - 631
[15] Description of torsional motion of identical tops in trimethylborane molecule B(CH3)3: I. Classification of stationary states
Burenin, A. V.
OPTICS AND SPECTROSCOPY, 2011, 110 (06) : 835 - 842
[16] Na2B6SO13 with unprecedented [B6SO13]∞ double chains and largest birefringence among borosulfates induced by the uniform arrangement of [B3O7] units
Fan, Jinbin
Yan, Ziting
Chen, Zilong
Li, Huimin
Yang, Zhihua
Zhang, Fangfang
Pan, Shilie
SCIENCE CHINA-CHEMISTRY, 2025, 68 (02) : 475 - 480
[17] Anomalous Light Propagation, Finite Size-Effects and Losses in Real 3D Photonic Nanostructures
Botey, Muriel
Lozano, Gabriel
Miguez, Hernan
Dorado, Luis A.
Depine, Ricardo A.
Martorell, Jordi
2011 13TH INTERNATIONAL CONFERENCE ON TRANSPARENT OPTICAL NETWORKS (ICTON), 2011,
[18] Rational Design of the Metal-Free KBe2BO3F2.(KBBF) Family Member C(NH2)3SO3F with Ultraviolet Optical Nonlinearity
Luo, Min
Lin, Chensheng
Lin, Donghong
Ye, Ning
ANGEWANDTE CHEMIE-INTERNATIONAL EDITION, 2020, 59 (37) : 15978 - 15981
[19] Changes in structure and proton conductivity at II-III phase transition of Rb3H(SO4)2
Yamawaki, Hiroshi
Fujihisa, Hiroshi
Honda, Kazumasa
Gotoh, Yoshito
SOLID STATE IONICS, 2010, 181 (13-14) : 567 - 571
[20] [Ag(NH3)2]2SO4: A Strategy for the Coordination of Cationic Moieties to Design Nonlinear Optical Materials**
Yang, Yi-Chang
Liu, Xin
Lu, Jing
Wu, Li-Ming
Chen, Ling
ANGEWANDTE CHEMIE-INTERNATIONAL EDITION, 2021, 60 (39) : 21216 - 21220

← 1 2 3 4 5 →