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

[1] Symmetrical Hydrogen Bond in SO4-H-SO4 Dimer in K3H(SO4)2 by Neutron Diffraction
Oh, In-Hwan
Sohn, Yoo Jung
Meven, Martin
Heger, Gernot
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2019, 88 (12)
[2] Epitaxially strained SnTiO3 at finite temperatures
Wang, Dawei
Liu, Laijun
Liu, Jia
Zhang, Nan
Wei, Xiaoyong
CHINESE PHYSICS B, 2018, 27 (12)
[3] Retaining the high-temperature phases of Rb3H(SO4)2 and Rb5H3(SO4)4 at room temperature
Kowalski, Chatr Panithipongwut
JOURNAL OF METALS MATERIALS AND MINERALS, 2021, 31 (04): : 116 - 122
[4] Synergistic combination of different types of functional motif in Rb(NO3)(SO3NH3) for realizing excellent ultraviolet optical nonlinearity
Song, Yunxia
Lin, Chensheng
Zhao, Xin
Yan, Tao
Ye, Ning
Tian, Haotian
Luo, Min
INORGANIC CHEMISTRY FRONTIERS, 2024, 11 (14): : 4329 - 4335
[5] The Comprehensive AOCMF Classification System: Orbital Fractures - Level 3 Tutorial
Kunz, Christoph
Audige, Laurent
Cornelius, Carl-Peter
Buitrago-Tellez, Carlos H.
Rudderman, Randal
Prein, Joachim
CRANIOMAXILLOFACIAL TRAUMA & RECONSTRUCTION, 2014, 7 : S92 - S102
[6] Condensed π-molecular arrangement for -C2H4SO3- armed naphthalenediimide
Ide, Ryo
Kawasaki, Ayumi
Takeda, Takashi
Dekura, Shun
Hoshino, Norihisa
Matsuda, Wakana
Seki, Shu
Akutagawa, Tomoyuki
JOURNAL OF MATERIALS CHEMISTRY C, 2024, 12 (09) : 3185 - 3195
[7] Centrosymmetric Rb2Mg3(SO4)4 and non-centrosymmetric Cs2Mg3(SO4)4 with a phase-matching nonlinear optical response
Wang, Meng
Wei, Dequan
Liang, Lanju
Yan, Xin
Lv, Kaikai
INORGANIC CHEMISTRY COMMUNICATIONS, 2019, 107
[8] Design of a new ultraviolet nonlinear optical material KNO3SO3NH3 exhibiting an unexpected strong second harmonic generation response
Tian, Haotian.
Lin, Chensheng
Zhao, Xin
Fang, Shenghao
Li, Han
Wang, Chao
Ye, Ning
Luo, Min
MATERIALS TODAY PHYSICS, 2022, 28
[9] The soft optic mode in ferroelastic Rb4LiH3(SO4)4
Aktas, O.
Clouter, M. J.
Quirion, G.
JOURNAL OF PHYSICS-CONDENSED MATTER, 2009, 21 (28)
[10] High-temperature phase behavior in the Rb3H(SO4)2-RbHSO4 pseudo-binary system and the new compound Rb5H3(SO4)4
Panithipongwut, Chatr
Haile, Sossina M.
SOLID STATE IONICS, 2012, 213 : 53 - 57

← 1 2 3 4 5 →