中国物理B ›› 2005, Vol. 14 ›› Issue (2): 386-392.doi: 10.1088/1009-1963/14/2/029

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Influences of the surface elastic energy term K13 on the critical fields of liquid crystal cells and experimental measurement of K13

王翠茹1, 关荣华2, 康文秀2, 于慧3, 淮俊霞3, 杨国琛3   

  1. (1)College of Computer Science and Technology, North China Electric Power University, Baoding 071003, China; (2)Department of Applied Physics, North China Electric Power University, Baoding 071003, China; (3)Institute of Physics, Hebei University of Technology, Tianjin 300130, China
  • 收稿日期:2004-04-07 修回日期:2004-09-27 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported by the Theoretical Physics Special Foundation of the National Natural Science of China (Grant No 10447107), and the Doctoral Foundation of North China Electric Power University, China (Grant No 20041210).

Influences of the surface elastic energy term K13 on the critical fields of liquid crystal cells and experimental measurement of K13

Guan Rong-Hua (关荣华)a, Wang Chui-Ru (王翠茹)b, Yu Hui (于慧)c, Kang Wen-Xiu (康文秀)a, Huai Jun-Xia (淮俊霞)c, Yang Guo-Chen (杨国琛)c   

  1. a Department of Applied Physics, North China Electric Power University, Baoding 071003, China; b College of Computer Science and Technology, North China Electric Power University, Baoding 071003, China; c Institute of Physics, Hebei University of Technology, Tianjin 300130, China
  • Received:2004-04-07 Revised:2004-09-27 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported by the Theoretical Physics Special Foundation of the National Natural Science of China (Grant No 10447107), and the Doctoral Foundation of North China Electric Power University, China (Grant No 20041210).

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摘要： Based on the modified formula of Rapini—Papoular, the equation and boundary condition of the director of weak anchoring nematic liquid crystal (NLC) cell have been obtained in the case of existence of the surface elastic energy term K13. The influences of K13 on the threshold field and the saturation field have been studied in detail with the methods of analytical derivation and numerical calculation. A new method of checking whether K13 exists or not is given in theory. Combining with the previous work, we also propose an experimental plan to measure the value of K13 with a wedge-shaped planar-aligned weak anchoring NLC cell. The numerical experiments are carried out to verify the feasibility of our method.

关键词: threshold field, saturation field, surface elastic term K13, experimental measurement

Abstract: Based on the modified formula of Rapini—Papoular, the equation and boundary condition of the director of weak anchoring nematic liquid crystal (NLC) cell have been obtained in the case of existence of the surface elastic energy term K13. The influences of K13 on the threshold field and the saturation field have been studied in detail with the methods of analytical derivation and numerical calculation. A new method of checking whether K13 exists or not is given in theory. Combining with the previous work, we also propose an experimental plan to measure the value of K13 with a wedge-shaped planar-aligned weak anchoring NLC cell. The numerical experiments are carried out to verify the feasibility of our method.

Key words: threshold field, saturation field, surface elastic term K13, experimental measurement

中图分类号:  (Surface phenomena: alignment, anchoring, anchoring transitions, surface-induced layering, surface-induced ordering, wetting, prewetting transitions, and wetting transitions)

  • 61.30.Hn
61.30.Eb (Experimental determinations of smectic, nematic, cholesteric, and other structures)