中国物理B ›› 2007, Vol. 16 ›› Issue (2): 493-498.doi: 10.1088/1009-1963/16/2/034

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Anchoring properties of substrate with a grating surface

叶文江, 邢红玉, 杨国琛   

  1. School of Sciences, Hebei University of Technology, Tianjin {\rm300130, China
  • 收稿日期:2006-04-14 修回日期:2006-08-14 出版日期:2007-02-20 发布日期:2007-02-20
  • 基金资助:
    Project supported by the Key Subject Construction Project of Hebei Provincial University.

Anchoring properties of substrate with a grating surface

Ye Wen-Jiang(叶文江)†, Xing Hong-Yu(邢红玉), and Yang Guo-Chen(杨国琛)   

  1. School of Sciences, Hebei University of Technology, Tianjin 300130, China
  • Received:2006-04-14 Revised:2006-08-14 Online:2007-02-20 Published:2007-02-20
  • Supported by:
    Project supported by the Key Subject Construction Project of Hebei Provincial University.

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摘要： The anchoring properties of substrate with a grating surface are investigated analytically. The alignment of nematic liquid crystal (NLC) in a grating surface originates from two mechanisms, thus the anchoring energy consists of two parts. One originates from the interaction potential between NLC molecules and the molecules on the substrate surface, and the other stems from the increased elastic strain energy. Based on the two mechanisms, the expression of anchoring energy per unit area of a projected plane of this grating surface is deduced and called the equivalent anchoring energy formula. Both the strength and the easy direction of equivalent anchoring energy are a function of the geometrical parameters (amplitude and pitch) of a grating surface. By using this formula, the grating surface can be replaced by its projected plane and its anchoring properties can be described by the equivalent anchoring energy formula.

关键词: anchoring properties, anchoring energy, elastic strain energy, equivalent anchoring energy formula

Abstract: The anchoring properties of substrate with a grating surface are investigated analytically. The alignment of nematic liquid crystal (NLC) in a grating surface originates from two mechanisms, thus the anchoring energy consists of two parts. One originates from the interaction potential between NLC molecules and the molecules on the substrate surface, and the other stems from the increased elastic strain energy. Based on the two mechanisms, the expression of anchoring energy per unit area of a projected plane of this grating surface is deduced and called the equivalent anchoring energy formula. Both the strength and the easy direction of equivalent anchoring energy are a function of the geometrical parameters (amplitude and pitch) of a grating surface. By using this formula, the grating surface can be replaced by its projected plane and its anchoring properties can be described by the equivalent anchoring energy formula.

Key words: anchoring properties, anchoring energy, elastic strain energy, equivalent anchoring energy formula

中图分类号:  (Liquid crystals)

  • 42.70.Df
61.30.Cz (Molecular and microscopic models and theories of liquid crystal structure) 61.30.Hn (Surface phenomena: alignment, anchoring, anchoring transitions, surface-induced layering, surface-induced ordering, wetting, prewetting transitions, and wetting transitions)