Please wait a minute...
Chinese Physics, 2007, Vol. 16(2): 493-498    DOI: 10.1088/1009-1963/16/2/034
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

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)
School of Sciences, Hebei University of Technology, Tianjin 300130, China
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.
Keywords:  anchoring properties      anchoring energy      elastic strain energy      equivalent anchoring energy formula  
Received:  14 April 2006      Revised:  14 August 2006      Accepted manuscript online: 
PACS:  42.70.Df (Liquid crystals)  
  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)  
Fund: Project supported by the Key Subject Construction Project of Hebei Provincial University.

Cite this article: 

Ye Wen-Jiang(叶文江), Xing Hong-Yu(邢红玉), and Yang Guo-Chen(杨国琛) Anchoring properties of substrate with a grating surface 2007 Chinese Physics 16 493

[1] Influences of nanoparticles and chain length on thermodynamic and electrical behavior of fluorine liquid crystals
Ines Ben Amor, Lotfi Saadaoui, Abdulaziz N. Alharbi, Talal M. Althagafi, and Taoufik Soltani. Chin. Phys. B, 2022, 31(10): 104202.
[2] Comprehensive studies on dielectric properties of p-methoxy benzylidene p-decyl aniline with function of temperature and frequency in planar geometry: A potential nematic liquid crystal for display devices
Pankaj Kumar Tripathi, Kunwar Vikram, Mithlesh Tiwari, and Ajay Shriram. Chin. Phys. B, 2021, 30(6): 064208.
[3] A 90° mixed-mode twisted nematic liquid-crystal-on-silicon with an insulating protrusion structure
Wen-Juan Li(李文娟), Yu-Qiang Guo(郭玉强), Chi Zhang(张弛), Hong-Mei Ma(马红梅), and Yu-Bao Sun(孙玉宝). Chin. Phys. B, 2021, 30(6): 064210.
[4] Interference effect on the liquid-crystal-based Stokes polarimeter
Jun-Feng Hou(侯俊峰), Dong-Guang Wang(王东光), Yuan-Yong Deng(邓元勇), Zhi-Yong Zhang(张志勇), and Ying-Zi Sun(孙英姿). Chin. Phys. B, 2020, 29(12): 124211.
[5] Irradiation study of liquid crystal variable retarder for Full-disk Magneto-Graph payload onboard ASO-S mission
Jun-Feng Hou(侯俊峰), Hai-Feng Wang(王海峰), Gang Wang(王刚), Yong-Quan Luo(骆永全), Hong-Wei Li(李宏伟), Zhen-Long Zhang(张振龙), Dong-Guang Wang(王东光), Yuan-Yong Deng(邓元勇). Chin. Phys. B, 2020, 29(7): 074208.
[6] Creation of topological vortices using Pancharatnam-Berry phase liquid crystal holographic plates
Xuyue Guo(郭旭岳), Jinzhan Zhong(钟进展), Peng Li(李鹏), Bingyan Wei(魏冰妍), Sheng Liu(刘圣), Jianlin Zhao(赵建林). Chin. Phys. B, 2020, 29(4): 040305.
[7] Improved dielectric and electro-optical parameters of nematic liquid crystal doped with magnetic nanoparticles
Geeta Yadav, Govind Pathak, Kaushlendra Agrahari, Mahendra Kumar, Mohd Sajid Khan, V S Chandel, Rajiv Manohar. Chin. Phys. B, 2019, 28(3): 034209.
[8] Electro-optical properties of high birefringence liquid crystal compounds with isothiocyanate and naphthyl group
Zeng-Hui Peng(彭增辉), Qi-Dong Wang(王启东), Shao-Xin Wang(王少鑫), Li-Shuang Yao(姚丽双), Yong-Gang Liu(刘永刚), Li-Fa Hu(胡立发), Zhao-Liang Cao(曹召良), Quan-Quan Mu(穆全全), Cheng-Liang Yang(杨程亮), Li Xuan(宣丽). Chin. Phys. B, 2017, 26(9): 094210.
[9] A high precision phase reconstruction algorithm for multi-laser guide stars adaptive optics
Bin He(何斌), Li-Fa Hu(胡立发), Da-Yu Li(李大禹), Huan-Yu Xu(徐焕宇), Xing-Yun Zhang(张杏云), Shao-Xin Wang(王少鑫), Yu-Kun Wang(王玉坤), Cheng-Liang Yang(杨程亮), Zhao-Liang Cao(曹召良), Quan-Quan Mu(穆全全), Xing-Hai Lu(鲁兴海), Li Xuan(宣丽). Chin. Phys. B, 2016, 25(9): 094214.
[10] Liquid crystal Fresnel lens display
Xiao-Qian Wang(王骁乾), Srivastava Abhishek Kumar, Ming-Wai Alwin Tam(谈明威), Zhi-Gang Zheng(郑致刚), Dong Shen(沈冬), Chigrinov G Vladimir, Hoi-Sing Kwok(郭海成). Chin. Phys. B, 2016, 25(9): 094215.
[11] Configuration optimization of laser guide stars and wavefront correctors for multi-conjugation adaptive optics
Li Xuan(宣丽), Bin He(何斌), Li-Fa Hu(胡立发), Da-Yu Li(李大禹), Huan-Yu Xu(徐焕宇), Xing-Yun Zhang(张杏云), Shao-Xin Wang(王少鑫), Yu-Kun Wang(王玉坤), Cheng-Liang Yang(杨程亮), Zhao-Liang Cao(曹召良), Quan-Quan Mu(穆全全), Xing-Hai Lu(鲁兴海). Chin. Phys. B, 2016, 25(9): 094216.
[12] Determining the imaging plane of a retinal capillary layer in adaptive optical imaging
Le-Bao Yang(杨乐宝), Li-Fa Hu(胡立发), Da-Yu Li(李大禹), Zhao-Liang Cao(曹召良), Quan-Quan Mu(穆全全), Ji Ma(马骥), Li Xuan(宣丽). Chin. Phys. B, 2016, 25(9): 094219.
[13] Bichromatic coherent random lasing from dye-doped polymer stabilized blue phase liquid crystals controlled by pump light polarization
Lei Wang(王雷), Meng Wang(王萌), Mingchao Yang(杨明朝), Li-Jie Shi(石丽洁), Luogen Deng(邓罗根 ), Huai Yang(杨槐). Chin. Phys. B, 2016, 25(9): 094217.
[14] Asymmetric dynamic phase holographic grating in nematic liquid crystal
Chang-Yu Ren(任常愚), Hong-Xin Shi(石宏新), Yan-Bao Ai(艾延宝), Xiang-Bao Yin(尹向宝), Feng Wang(王丰), Hong-Wei Ding(丁红伟). Chin. Phys. B, 2016, 25(9): 094218.
[15] Temperature-tunable lasing in negative dielectric chiral nematic liquid crystal
Wu Ri-Na (乌日娜), Wu Jie (吴杰), Wu Xiao-Jiao (邬小娇), Dai Qin (岱钦). Chin. Phys. B, 2015, 24(5): 054211.
No Suggested Reading articles found!