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Definition and expression of non-symmetric physical properties in space for uniaxial crystals |
Xiaojie Guo(郭晓杰)1, Lijuan Chen(陈丽娟)2, Zeliang Gao(高泽亮)1,†, Xin Yin(尹鑫)1, and Xutang Tao(陶绪堂)1,‡ |
1 State Key Laboratory of Crystal Materials, Shandong University, Jinan 250100, China; 2 School of Physics Science, University of Jinan, Jinan 250100, China |
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Abstract The anisotropic physical property is the most noteworthy feature of crystals. In this paper, the subscript change method is used to analyze the sign changes of different tensors describing physical properties in uniaxial crystals. The distribution of some physical properties in special point groups exhibits non-symmetry in eight quadrants, which should attract the attention of crystal research. The difference between the crystallographic and physical coordinate systems and the lack of crystal symmetry operations are considered to be the origins of the non-symmetry. To avoid ambiguities and difficulties in characterizing and applying crystal physical properties, eight quadrants in space should be clarified. Hence, we proposed the use of piezoelectric properties to define the positive direction of the optical coordinate axis prior to the research and applications of optical properties.
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Received: 15 November 2021
Revised: 03 January 2022
Accepted manuscript online: 24 January 2022
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PACS:
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61.50.Ah
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(Theory of crystal structure, crystal symmetry; calculations and modeling)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51772170, 51572155, and 11504389), the National Key Research and Development Program of China (Grant No. 2016YFB1102201), and the Young Scholars Program (Grant No. 2018WLJH67). |
Corresponding Authors:
Zeliang Gao, Xutang Tao
E-mail: gaozeliang@sdu.edu.cn;txt@sdu.edu.cn
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Cite this article:
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) Definition and expression of non-symmetric physical properties in space for uniaxial crystals 2022 Chin. Phys. B 31 096103
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