NEW APPROXIMATE FORMULAS FOR THE RETARDATION FACTORS OF NEMATIC LIQUID-CRYSTALS WITH SIMPLE UNIAXIAL ANISOTROPY

被引:21
作者
COFFEY, WT
KALMYKOV, YP
WALDRON, JT
机构
[1] RUSSIAN ACAD SCI, INST RADIO ENGN & ELECTR, FRYAZINO 141120, RUSSIA
[2] DUBLIN CITY UNIV, SCH COMP APPLICAT, DUBLIN 9, IRELAND
关键词
D O I
10.1080/02678299508036674
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Simple formulae which yield a close approximation to the exact analytic solution for the longitudinal and transverse relaxation times T parallel to and T perpendicular to of the components of the dipole moment of a nematic liquid crystal with simple uniaxial anisotropy are presented. The new formula for T parallel to yields a substantial correction to the Meier-Saupe formula [1966, Molec. Crystals, 1, 515]. It appears that both the longitudinal and transverse relaxation processes may be accurately described by a single Debye type relaxation mechanism with relaxation times T parallel to and T perpendicular to.
引用
收藏
页码:677 / 679
页数:3
相关论文
共 12 条
[1]  
Abramowitz M., 1970, HDB MATH FUNCTIONS F
[2]   THERMAL FLUCTUATIONS OF A SINGLE-DOMAIN PARTICLE [J].
BROWN, WF .
PHYSICAL REVIEW, 1963, 130 (05) :1677-+
[3]   SIMPLE APPROXIMATE FORMULAS FOR THE MAGNETIC-RELAXATION TIME OF SINGLE-DOMAIN FERROMAGNETIC PARTICLES WITH UNIAXIAL ANISOTROPY [J].
COFFEY, WT ;
CREGG, PJ ;
CROTHERS, DSF ;
WALDRON, JT ;
WICKSTEAD, AW .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1994, 131 (03) :L301-L303
[4]   EXACT SOLUTION FOR THE CORRELATION TIMES OF DIELECTRIC-RELAXATION OF A SINGLE AXIS ROTATOR WITH 2 EQUIVALENT SITES [J].
COFFEY, WT ;
KALMYKOV, YP ;
MASSAWE, ES ;
WALDRON, JT .
JOURNAL OF CHEMICAL PHYSICS, 1993, 99 (05) :4011-4023
[5]   EXACT ANALYTIC FORMULA FOR THE CORRELATION TIME OF A SINGLE-DOMAIN FERROMAGNETIC PARTICLE [J].
COFFEY, WT ;
CROTHERS, DSF ;
KALMYKOV, YP ;
MASSAWE, ES ;
WALDRON, JT .
PHYSICAL REVIEW E, 1994, 49 (03) :1869-1882
[6]   ON THE CALCULATION OF THE DIELECTRIC-RELAXATION TIMES OF A NEMATIC LIQUID-CRYSTAL FROM THE NON-INERTIAL LANGEVIN EQUATION [J].
COFFEY, WT ;
KALMYKOV, YP .
LIQUID CRYSTALS, 1993, 14 (04) :1227-1236
[7]  
COFFEY WT, 1995, PHYSICA A, V212
[8]   AN APPROXIMATE FORMULA FOR THE RELAXATION-TIME OF A SINGLE-DOMAIN FERROMAGNETIC PARTICLE WITH UNIAXIAL ANISOTROPY AND COLLINEAR FIELD [J].
CREGG, PJ ;
CROTHERS, DSF ;
WICKSTEAD, AW .
JOURNAL OF APPLIED PHYSICS, 1994, 76 (08) :4900-4902
[9]  
MARTIN AJ, 1971, S FARADAY SOC, V5, P119, DOI DOI 10.1039/SF9710500119
[10]   DIELECTRIC RELAXATION IN NEMATIC LIQUID CRYSTALS [J].
MEIER, G ;
SAUPE, A .
MOLECULAR CRYSTALS, 1966, 1 (04) :515-+