Please wait a minute...
Chin. Phys. B, 2021, Vol. 30(2): 026104    DOI: 10.1088/1674-1056/abcf99
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Space symmetry of effective physical constants for biaxial crystals

Fuan Liu(刘孚安), Zeliang Gao(高泽亮)‡, XinYin(尹鑫), and Xutang Tao(陶绪堂)†
State Key Laboratory of Crystal Materials, Shandong University, Jinan 250100, China
Abstract  In eight quadrants, the positive and negative signs of tensor components describing physical properties of biaxial crystals have been given. The distributions of the physical properties described with different order tensors and their space symmetries have been discussed. These results show that the distributions of effective physical constants are symmetrical in the eight quadrants for the orthorhombic system, but there are two and four kinds of distributions for monoclinic and triclinic systems respectively. Thence, to avoid ambiguities and difficulties in characterizing and applying properties of biaxial crystals, we suggest that the really positive directions of the coordinate axes should be defined before the measurements of their physical properties and their device applications.
Keywords:  biaxial crystals      space symmetries      the really positive directions of coordinate axes  
Received:  08 October 2020      Revised:  09 November 2020      Accepted manuscript online:  02 December 2020
PACS:  61.50.Ah (Theory of crystal structure, crystal symmetry; calculations and modeling)  
Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2016YFB1102201), the 111 Project 2.0 (Grant No. BP2018013), the National Natural Science Foundation of China (Grant Nos. 51772170, 51572155, and 11504389), the Shandong Provincial Key R&D Program, China (Grant No. 2018CXGC0411), the Young Scholars Program (Grant No. 2018WLJH67), and the Fundamental Research Founds of Shandong University (Grant No. 2017JC044).
Corresponding Authors:  Corresponding author. E-mail: txt@sdu.edu.cn Corresponding author. E-mail: gaozeliang@sdu.edu.cn   

Cite this article: 

Fuan Liu(刘孚安), Zeliang Gao(高泽亮), XinYin(尹鑫), and Xutang Tao(陶绪堂) Space symmetry of effective physical constants for biaxial crystals 2021 Chin. Phys. B 30 026104

1 Chen G, Liao L J and Hao W2007 Crystal physical properties(Tensor basis) pp. 1-12
2 Nye J F1985 Physical Properties of Crystals(Tensor basis) pp. 1-5
3 Jiang M H1981 Crystal Physical Properties (Fundamentals of Crystallography) pp. 1-28
4 Xiao D Q and Wang M1989 Crystal Physical Properties (Tensor basis) p. 5
5 Chen Y and Ma B Q 2008 Chin. Phys. Lett. 25 3920
6 Fu J L, Wang X J and Xie F P 2008 Chin. Phys. Lett. 25 2413
7 Song J and Zhang Y 2017 Chin. Phys. B 26 084501
8 Yin X, Zhang S J and Tian Z B 2005 J. Opt. Soc. Am. B 22 2185
9 Pancho T and Valentin P 2005 Appl. Opt. 44 6971
[1] Defect physics of the quasi-two-dimensional photovoltaic semiconductor GeSe
Saichao Yan(闫赛超), Jinchen Wei(魏金宸), Shanshan Wang(王珊珊), Menglin Huang(黄梦麟), Yu-Ning Wu(吴宇宁), and Shiyou Chen(陈时友). Chin. Phys. B, 2022, 31(11): 116103.
[2] Pressure-induced novel structure with graphene-like boron-layer in titanium monoboride
Yuan-Yuan Jin(金园园), Jin-Quan Zhang(张金权), Shan Ling(凌山), Yan-Qi Wang(王妍琪), Song Li(李松), Fang-Guang Kuang(匡芳光), Zhi-Yan Wu(武志燕), and Chuan-Zhao Zhang(张传钊). Chin. Phys. B, 2022, 31(11): 116104.
[3] Definition and expression of non-symmetric physical properties in space for uniaxial crystals
Xiaojie Guo(郭晓杰), Lijuan Chen(陈丽娟), Zeliang Gao(高泽亮), Xin Yin(尹鑫), and Xutang Tao(陶绪堂). Chin. Phys. B, 2022, 31(9): 096103.
[4] Substitutions of vertex configuration of Ammann-Beenker tiling in framework of Ammann lines
Jia-Rong Ye(叶家容), Wei-Shen Huang(黄伟深), and Xiu-Jun Fu(傅秀军). Chin. Phys. B, 2022, 31(8): 086101.
[5] Synergistic influences of titanium, boron, and oxygen on large-size single-crystal diamond growth at high pressure and high temperature
Guang-Tong Zhou(周广通), Yu-Hu Mu(穆玉虎), Yuan-Wen Song(宋元文), Zhuang-Fei Zhang(张壮飞), Yue-Wen Zhang(张跃文), Wei-Xia Shen(沈维霞), Qian-Qian Wang(王倩倩), Biao Wan(万彪), Chao Fang(房超), Liang-Chao Chen(陈良超), Ya-Dong Li(李亚东), and Xiao-Peng Jia(贾晓鹏). Chin. Phys. B, 2022, 31(6): 068103.
[6] Effect of different catalysts and growth temperature on the photoluminescence properties of zinc silicate nanostructures grown via vapor-liquid-solid method
Ghfoor Muhammad, Imran Murtaza, Rehan Abid, and Naeem Ahmad. Chin. Phys. B, 2022, 31(5): 057801.
[7] Temperature-dependent structure and magnetization of YCrO3 compound
Qian Zhao(赵前), Ying-Hao Zhu(朱英浩), Si Wu(吴思), Jun-Chao Xia(夏俊超), Peng-Fei Zhou(周鹏飞), Kai-Tong Sun(孙楷橦), and Hai-Feng Li(李海峰). Chin. Phys. B, 2022, 31(4): 046101.
[8] Numerical investigation on threading dislocation bending with InAs/GaAs quantum dots
Guo-Feng Wu(武国峰), Jun Wang(王俊), Wei-Rong Chen(陈维荣), Li-Na Zhu(祝丽娜), Yuan-Qing Yang(杨苑青), Jia-Chen Li(李家琛), Chun-Yang Xiao(肖春阳), Yong-Qing Huang(黄永清), Xiao-Min Ren(任晓敏), Hai-Ming Ji(季海铭), and Shuai Luo(罗帅). Chin. Phys. B, 2021, 30(11): 110201.
[9] A novel two-dimensional SiO sheet with high-stability, strain tunable electronic structure, and excellent mechanical properties
Shijie Liu(刘世杰) and Hui Du(杜慧). Chin. Phys. B, 2021, 30(7): 076104.
[10] Magnetoelectric coupling effect of polarization regulation in BiFeO3/LaTiO3 heterostructures
Chao Jin(金超), Feng-Zhu Ren(任凤竹), Wei Sun(孙伟), Jing-Yu Li(李静玉), Bing Wang(王冰), and Qin-Fen Gu(顾勤奋). Chin. Phys. B, 2021, 30(7): 076105.
[11] Prediction of scandium tetraboride from first-principles calculations: Crystal structures, phase stability, mechanical properties,and hardness
Bin-Hua Chu(初斌华) and Yuan Zhao(赵元). Chin. Phys. B, 2021, 30(7): 076107.
[12] Negative compressibility property in hinging open-cell Kelvin structure
Meng Ma(马梦), Xiao-Qin Zhou(周晓勤), Hao Liu(刘浩), and Hao-Cheng Wang(王浩成). Chin. Phys. B, 2021, 30(5): 056201.
[13] Ground-state structure and physical properties of YB 3 predicted from first-principles calculations
Bin-Hua Chu(初斌华), Yuan Zhao(赵元), and De-Hua Wang(王德华). Chin. Phys. B, 2021, 30(4): 046101.
[14] Thermal stress reduction of GaAs epitaxial growth on V-groove patterned Si substrates
Ze-Yuan Yang(杨泽园), Jun Wang(王俊), Guo-Feng Wu(武国峰), Yong-Qing Huang(黄永清), Xiao-Min Ren(任晓敏), Hai-Ming Ji(季海铭), and Shuai Luo(罗帅). Chin. Phys. B, 2021, 30(1): 016102.
[15] Impact vibration properties of locally resonant fluid-conveying pipes
Bing Hu(胡兵), Fu-Lei Zhu(朱付磊), Dian-Long Yu(郁殿龙), Jiang-Wei Liu(刘江伟), Zhen-Fang Zhang(张振方), Jie Zhong(钟杰), and Ji-Hong Wen(温激鸿). Chin. Phys. B, 2020, 29(12): 124301.
No Suggested Reading articles found!