Diamagnetic susceptibility tensor anisotropy

The diamagnetic susceptibility of a liquid crystal is anisotropic. This is a result of shape anisotropy in the molecules that form the liquid crystal. In a uniaxial phase, the susceptibility tensor has two principal components, X and x 5 the susceptibilities per unit volume along and perpendicular to no, respectively. If Ax = X X >0, the director will align along the magnetic field B The presence of a magnetic field leads to an additional term in / [6.28],... 

Here Xa = X - Xx and 6a = e - Sx are the relative diamagnetic and dielectric anisotropies, so that the uniaxial susceptibility and dielectric tensors can be written in Cartesian coordinates in the form... 

From the lJ residual dipolar coupling the molecular magnetic anisotropy tensor is obtained, which differs from the metal contribution by an extent which depends on the magnetic anisotropy of the diamagnetic part. For example, in cytochrome b the diamagnetic, the paramagnetic and the total susceptibility anisotropy values are A Xax = —0.8, 2.8, 2.20 x 10 32 m3, respectively, and Axrh = 0.1, —1.1, — 1.34 x 10-32 m3, respectively [60]. The corresponding tensors sum up as expected. 

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