Paranematic susceptibility: Difference between revisions

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In the study of liquid crystals the paranematic susceptibility (latin: susceptibilis “receptiveness”) is a quantity that describes the degree of induced order in a liquid crystal in response to an applied magnetic field. As a result of the diamagnetic anisotropy of liquid crystal molecules, nematic order can be created by the application of a magnetic field. If a magnetic field is applied to a nematic liquid crystal in the isotropic phase then the order is given by:

Failed to parse (unknown function "\langleP"): {\displaystyle \langleP_2\rangle=\eta H^2}

The proportionality constant $\eta$ is the paranematic susceptibility. The value increases as the liquid crystal is cooled towards its transition temperature. In both the mean field approximation and Landau-deGennes theory the paranematic susceptibility is proportional to $(T-T_{C}^{*})^{-1}$ .

References

E.B. Priestley, P.J. Wojtowicz, and P. Sheng, Introduction to Liquid Crystals, Plenum Press, 1974. ISBN 0-306-30858-4

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 In the study of [[liquid crystal]]s the paranematic susceptibility (latin: susceptibilis “receptiveness”) is a quantity that describes the degree of induced order in a liquid crystal in response to an applied magnetic field. As a result of the diamagnetic anisotropy of liquid crystal molecules, nematic order can be created by the application of a magnetic field. If a magnetic field is applied to a nematic liquid crystal in the isotropic phase then the order is given by:
-:<math>\langleP_2\rangle=\etaH^2</math>
+:<math>\langleP_2\rangle=\eta H^2</math>
 The proportionality constant <math>\eta</math> is the paranematic susceptibility. The value increases as the liquid crystal is cooled towards its transition temperature. In both the mean field approximation and Landau-deGennes theory the paranematic susceptibility is proportional to <math>(T-T^*_C)^{-1}</math>.