中国物理B ›› 2022, Vol. 31 ›› Issue (9): 96103-096103.doi: 10.1088/1674-1056/ac4e09

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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. 1 State Key Laboratory of Crystal Materials, Shandong University, Jinan 250100, China;
    2 School of Physics Science, University of Jinan, Jinan 250100, China
  • 收稿日期:2021-11-15 修回日期:2022-01-03 接受日期:2022-01-24 出版日期:2022-08-19 发布日期:2022-09-01
  • 通讯作者: Zeliang Gao, Xutang Tao E-mail:gaozeliang@sdu.edu.cn;txt@sdu.edu.cn
  • 基金资助:
    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).

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. 1 State Key Laboratory of Crystal Materials, Shandong University, Jinan 250100, China;
    2 School of Physics Science, University of Jinan, Jinan 250100, China
  • Received:2021-11-15 Revised:2022-01-03 Accepted:2022-01-24 Online:2022-08-19 Published:2022-09-01
  • Contact: Zeliang Gao, Xutang Tao E-mail:gaozeliang@sdu.edu.cn;txt@sdu.edu.cn
  • Supported by:
    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).

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摘要： 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.

关键词: uniaxial crystals, effective physical constant space distributions, the positive direction of optical coordinate axis

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.

Key words: uniaxial crystals, effective physical constant space distributions, the positive direction of optical coordinate axis

中图分类号:  (Theory of crystal structure, crystal symmetry; calculations and modeling)

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