Abstract A detailed theoretical analysis of determining the sum of flexoelectric coefficients in nematic liquid crystals using the capacitance method is given. In the strong anchoring parallel aligned nematic (PAN) and hybrid aligned nematic (HAN) cells, the dependences of the capacitance on the sum of flexoelectric coefficients and the applied voltage are obtained by numerical simulations, and the distributions of the director and the electric potential for different applied voltages and flexoelectric coefficients are also given. Based on this theoretical analysis, we propose an experimental design for measuring the capacitance of a liquid crystal cell using the improved precision LCR meter E4980A (Agilent). Through comparing the experimental data with the simulated results, the sum of flexoeletric coefficients can be determined.
(Liquids, emulsions, and suspensions; liquid crystals)
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11274088, 11374087, and 11304074), the Natural Science Foundation of Hebei Province, China (Grant No. A2014202123), the Research Project of Hebei Education Department, China (Grant Nos. Z2012061 and QN2014130), the Science and Technology Plan Project of Hebei Province, China (Grant No. 134576260), and the Key Subject Construction Project of Hebei Province University, China.
Ye Wen-Jiang (叶文江), Xing Hong-Yu (邢红玉), Cui Wen-Jing (崔文静), Zhou Xuan (周璇), Sun Yu-Bao (孙玉宝), Zhang Zhi-Dong (张志东) Determining the sum of flexoelectric coefficients in nematic liquid crystals by the capacitance method 2014 Chin. Phys. B 23 116101
[1]
Blinov L M and Chigrinov V G 1994 Electrooptic Effects in Liquid Crystal Materials (Berlin: Springer) p. 190
[2]
Meyer R B 1969 Phys. Rev. Lett. 22 918
[3]
Castles F, Morris S M, Terentjev E M and Coles H J 2010 Phys. Rev. Lett. 104 157801
[4]
Jákli A, Harden J, Sprunt S, Gleeson J T and Palffy-Muhoray P 2010 U.S. Patent 7832093 [2010-11-16]
[5]
Bryan-Brown G P, Brown C V, Jones J C, Wood E L, Sage I C, Brett P and Rudin J 1997 SID97 Digest 37
[6]
Chen J, Morris S M, Wilkinson T D, Freeman J P and Coles H J 2009 Opt. Express 17 7130
[7]
Coles H, Morris S, Castles F, Gardiner D and Malik Q 2012 SID 2012 Digest 544
[8]
Petrov A G1998 Physical Properties of Liquid Crystals: Nematics (London: INSPEC) p. 251
[9]
Madhusudana N V 2013 Flexoelecticity in Liquid Crystals: Theory, Experiments and Applications (London: Imperial College Press) p. 33
[10]
Deuling H J 1974 Solid State Commun. 14 1073
[11]
Brown C V and Mottram N J 2003 Phys. Rev. E 68 031702
[12]
Blinov L M, Barnik M I, Ozaki M, Shtykov N M and Yoshino K 2000 Phys. Rev. E 62 8091
[13]
Takahashi T, Hashidate S, Nishijou H, Usui M, Kinura M and Akahane T 1998 Jpn. J. Appl. Phys. 37 1865
[14]
Mazzulla A, Ciuchi F and Sambles J R 2001 Phys. Rev. E 64 021708
[15]
Harden J, Mbanga B, Éber N, Fodor-Csorba K, Sprunt S, Gleeson J T and Jákli A 2006 Phys. Rev. Lett. 97 157802
[16]
Harden J, Teeling R, Gleeson J T, Sprunt S and Jákli A 2008 Phys. Rev. E 78 031702
[17]
Kischka C, Elston S J and Raynes E P 2008 Mol. Cryst. Liq. Cryst. 494 93
[18]
Trabi C L, Smith C C T and Brown C V 2009 Mol. Cryst. Liq. Cryst. 509 378
[19]
Tidey E K, Parry-Jones L A and Elston S J 2007 Liq. Cryst. 34 251
[20]
Sykulska H M, Parry-Jones L A and Elston S J 2005 Mol. Cryst. Liq. Cryst. 436 267
[21]
Kumar P, Marinov Y G, Hinov H P, Hiremath U S, Yelamaggad C V, Krishnamurthy K S and Petrov A G 2009 J. Phys. Chem. B 113 9168
[22]
Salter P S, Tschierske C, Elston S J and Raynes E P 2011 Phys. Rev. E 84 031708
[23]
Outrama B I and Elstona S J 2012 Liq. Cryst. 39 149
[24]
Xing H Y, Ye W J, Wu N F, Zhang Z D and Xuan L 2012 Chin. Opt. Lett. 10 052301
[25]
Castles F, Green S C, Gardiner D J, Morris S M and Coles H J 2012 AIP Adv. 2 022137
[26]
Helfrich W 1971 Phys. Lett. A 35 393
[27]
Castles F, Morris S M and Coles H J 2011 AIP Adv. 1 032120
[28]
Castles F, Morris S M and Coles H J 2013 AIP Adv. 3 019102
[29]
Patel J S and Meyer R B 1987 Phys. Rev. Lett. 58 1538
[30]
Stephen William Morris 1985 Measurements of the Elastic Constants of a Liquid Crystal (MS Thesis) (Vancouver: University of British Columbia)
[31]
Kirkman N T, Stirner T and Hagstona W E 2003 Liq. Cryst. 30 1115
[32]
Xing H Y, YeWJ, Zhang Z D and Xuan L 2011 Commun. Theor. Phys. 55 939
[33]
Brimicombe P D 2006 Fast-switching Nematic Liquid Crystal Devices (Ph.D. Thesis) (Linacre College: University of Oxford)
[34]
Sugimura A, Luckhurst G R and Ou-yang Z C 1995 Phys. Rev. E 52 681
[35]
Jewell S A and Sambles J R 2002 J. Appl. Phys. 92 19
[36]
Panov V P, Balachandran R, Nagaraj M, Vij J K, Tamba M G, Kohlmeier A and Mehl G H 2011 Appl. Phys. Lett. 99 261903
[37]
Nazarenko V G and Lavrentovich O D 1994 Phys. Rev. E 49 R990
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