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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 78, 1993 - Issue 5
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Original Articles

The elastic constants of nematic and nematic discotic liquid crystals with perfect local orientational order

M.A. Osipov Institut für Theoretische Physik, Technische Universität Berlin, Sekr. PN 7-1, Hardenbergstr. 36, 1000, Berlin 12, Germany; Institute of Crystallography, Academy of Sciences Russia, Leninsky pr. 59, Moscow, 117333, Russia
&
S. Hess Institut für Theoretische Physik, Technische Universität Berlin, Sekr. PN 7-1, Hardenbergstr. 36, 1000, Berlin 12, Germany
Pages 1191-1201 | Received 18 May 1992, Accepted 17 Aug 1992, Published online: 22 Aug 2006

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Clarissa F. Dietrich. (2021) Lyotropic nematic liquid crystals: interplay between a small twist elastic constant and chirality effects under confined geometries. Liquid Crystals Today 30:1, pages 2-14.
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M. A. Osipov & G. Pająk. (2017) Polar interactions between bent–core molecules as a stabilising factor for inhomogeneous nematic phases with spontaneous bend deformations. Liquid Crystals 44:1, pages 58-67.
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Hythem Sidky & Jonathan K. Whitmer. (2016) Elastic properties of common Gay–Berne nematogens from density of states (DOS) simulations. Liquid Crystals 43:13-15, pages 2285-2299.
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A. Ferrarini. (2010) The theory of elastic constants. Liquid Crystals 37:6-7, pages 811-823.
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M. Simões & A. de Campos. (2007) Determination of the elastic constants of nematic liquid crystals by means of the affine transformation model. Liquid Crystals 34:6, pages 719-727.
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WILFRIED LOTHAR WAGNER LORIS BENNETT. (1998) A study of the perfectly oriented Gay–Berne model of a nematic liquid crystal via perturbation theory and molecular dynamics. Molecular Physics 94:3, pages 571-575.
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M.A. Osipov & S. Hess. (1994) Elastic constants of nematics. Comparison between molecular theory and computer simulations. Liquid Crystals 16:5, pages 845-851.
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Yohei Zushi & Kazumasa A. Takeuchi. (2022) Scaling and spontaneous symmetry restoring of topological defect dynamics in liquid crystal. Proceedings of the National Academy of Sciences 119:41.
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Le Gia Trung, Rajneesh Kumar Mishra, Subhangi Subedi, Avinash Kumar Rella, Vipin Kumar, Jeong Won Ryu, Hwajun Jeon & Jin Seog Gwag. (2022) Graphene Oxide Liquid Crystals Aligned in a Confined Configuration: Implications for Optical Materials. ACS Applied Nano Materials 5:8, pages 11506-11518.
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M. A. Osipov, A. A. Antonov & M. V. Gorkunov. (2021) Molecular-statistical theory of elasticity in nematic liquid crystals composed of polar and nonpolar molecules. Physical Review E 103:5.
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Clarissa F. DietrichPeter J. Collings, Thomas Sottmann, Per Rudquist & Frank Giesselmann. (2020) Extremely small twist elastic constants in lyotropic nematic liquid crystals. Proceedings of the National Academy of Sciences 117:44, pages 27238-27244.
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M. Simões, W. Bertolino & T. Davincy. (2019) Curvature of the elastic deformations in a nematic sample. The European Physical Journal E 42:5.
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S. Srigengan, M. Nagaraj, A. Ferrarini, R. Mandle, S. J. Cowling, M. A. Osipov, G. Pająk, J. W. Goodby & H. F. Gleeson. (2018) Anomalously low twist and bend elastic constants in an oxadiazole-based bent-core nematic liquid crystal and its mixtures; contributions of spontaneous chirality and polarity. Journal of Materials Chemistry C 6:5, pages 980-988.
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S. Heymans & T. Schilling. (2017) Elastic properties of the nematic phase in hard ellipsoids of short aspect ratio. Physical Review E 96:2.
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M. A. Osipov & G. Pajak. (2016) Effect of polar intermolecular interactions on the elastic constants of bent-core nematics and the origin of the twist-bend phase. The European Physical Journal E 39:4.
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Ralf Stannarius. 2014. Handbook of Liquid Crystals. Handbook of Liquid Crystals 1 45 .
David Dunmur. 2014. Handbook of Liquid Crystals. Handbook of Liquid Crystals 1 41 .
M. Ilk Capar, A. Nar, A. Ferrarini, E. Frezza, C. Greco, A. V. Zakharov & A. A. Vakulenko. (2013) Molecular structure and elastic properties of thermotropic liquid crystals: Integrated molecular dynamics—Statistical mechanical theory vs molecular field approach. The Journal of Chemical Physics 138:11.
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Marina Rossi, Giuliano Zanchetta, Sven Klussmann, Noel A. Clark & Tommaso Bellini. (2013) Propagation of Chirality in Mixtures of Natural and Enantiomeric DNA Oligomers. Physical Review Letters 110:10.
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M. Ilk Capar, A. Nar, A. V. Zakharov & A. A. Vakulenko. (2011) Flexoelastic properties of polar liquid crystals. Physics of the Solid State 53:2, pages 435-441.
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A. A. Verhoeff, R. H. J. Otten, Paul van der Schoot & H. N. W. Lekkerkerker. (2011) Magnetic field effects on tactoids of plate-like colloids. The Journal of Chemical Physics 134:4.
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Budhadipta Dan, Natnael Behabtu, Angel Martinez, Julian S. Evans, Dmitry V. Kosynkin, James M. Tour, Matteo Pasquali & Ivan I. Smalyukh. (2011) Liquid crystals of aqueous, giant graphene oxide flakes. Soft Matter 7:23, pages 11154.
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Mirko Cestari, Elisa Frezza, Alberta Ferrarini & Geoffrey R. Luckhurst. (2011) Crucial role of molecular curvature for the bend elastic and flexoelectric properties of liquid crystals: mesogenic dimers as a case study. Journal of Materials Chemistry 21:33, pages 12303.
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Paul A. C. O'Brien, Michael P. Allen, David L. Cheung, Matthew Dennison & Andrew Masters. (2011) Elastic constants of hard thick platelets by Monte Carlo simulation and virial expansion. Soft Matter 7:1, pages 153-162.
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Aletta A. Verhoeff, Ronald H. J. Otten, Paul van der Schoot & Henk N. W. Lekkerkerker. (2008) Shape and Director Field Deformation of Tactoids of Plate-Like Colloids in a Magnetic Field. The Journal of Physical Chemistry B 113:12, pages 3704-3708.
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Mirko Cestari & Alberta Ferrarini. (2009) Curvature elasticity of nematic liquid crystals: simply a matter of molecular shape? Insights from atomistic modeling. Soft Matter 5:20, pages 3879.
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Martin Kröger & Patrick Ilg. (2007) Derivation of Frank-Ericksen elastic coefficients for polydomain nematics from mean-field molecular theory for anisotropic particles. The Journal of Chemical Physics 127:3.
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M. Simões, A. de Campos & D. Barbato. (2007) Local affine-connection approach to the elastic constants of nematic liquid crystals. Physical Review E 75:6.
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L.R.P. de Andrade Lima & A.D. Rey. (2005) Pulsatile flow of discotic mesophases. Chemical Engineering Science 60:23, pages 6622-6636.
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Haiko Steuer & Siegfried Hess. (2005) Direct Computation of the Twist Elastic Coefficient of a Nematic Liquid Crystal Via Monte Carlo Simulations. Physical Review Letters 94:2.
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Amit Srivastava & Shri Singh. (2004) Elastic constants of nematic liquid crystals of uniaxial symmetry. Journal of Physics: Condensed Matter 16:41, pages 7169-7182.
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L.R.P. de Andrade Lima & A.D. Rey. (2004) Linear viscoelasticity of discotic mesophases. Chemical Engineering Science 59:18, pages 3891-3905.
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L. R. P. de Andrade Lima & A. D. Rey. (2003) Linear and nonlinear viscoelasticity of discotic nematics under transient Poiseuille flows. Journal of Rheology 47:5, pages 1261-1282.
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J. Yan & A.D. Rey. (2003) Modeling elastic and viscous effects on the texture of ribbon-shaped carbonaceous mesophase fibers. Carbon 41:1, pages 105-121.
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A. V. Zakharov, M. N. Tsvetkova & V. G. Korsakov. (2002) Elastic properties of liquid crystals. Physics of the Solid State 44:9, pages 1795-1801.
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J. Yan & A. D. Rey. (2002) Texture formation in carbonaceous mesophase fibers. Physical Review E 65:3.
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Nguyen Hoang Phuong, Guido Germano & Friederike Schmid. (2001) Elastic constants from direct correlation functions in nematic liquid crystals: A computer simulation study. The Journal of Chemical Physics 115:15, pages 7227-7234.
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Holger Stark. (2001) Physics of colloidal dispersions in nematic liquid crystals. Physics Reports 351:6, pages 387-474.
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D. Demus, J. Goodby, G. W. Gray, H.‐W. Spiess & V. Vill. 1999. Physical Properties of Liquid Crystals. Physical Properties of Liquid Crystals 87 491 .
D. Demus, J. Goodby, G. W. Gray, H.‐W. Spiess & V. VillDavid Dunmur & Kazuhisa Toriyama. 1998. Handbook of Liquid Crystals. Handbook of Liquid Crystals 253 280 .
Ralf Stannarius. 1998. Handbook of Liquid Crystals. Handbook of Liquid Crystals 60 90 .
David Dunmur & Kazuhisa Toriyama. 1998. Handbook of Liquid Crystals Set. Handbook of Liquid Crystals Set 253 280 .
Ralf Stannarius. 1998. Handbook of Liquid Crystals Set. Handbook of Liquid Crystals Set 60 90 .
J. Stelzer, M. A. Bates, L. Longa & G. R. Luckhurst. (1997) Computer simulation studies of anisotropic systems. XXVII. The direct pair correlation function of the Gay–Berne discotic nematic and estimates of its elastic constants. The Journal of Chemical Physics 107:18, pages 7483-7492.
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M. A. Osipov & S. Hess. (1993) Density functional approach to the theory of interfacial properties of nematic liquid crystals. The Journal of Chemical Physics 99:5, pages 4181-4190.
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