Magnetic susceptibility longitudinal

Here k is the Fermi wave vector determined from the value of the hole concentration p assuming a spherical Fermi surface, m is the hole effective mass taken as 0.5/no (mo is the free electron mass), is the exchange integral between the holes and the Mn spins, and h is Planck s constant. The transverse and longitudinal magnetic susceptibilities are determined from the magnetotransport data according to x = 3M/dB and xh = M/B. 

We summarize as follows The longitudinal and transverse magnetic susceptibilities characterizing the solid-state process are approximately described by [55]... 

Substituting Eqs. (5.55) and (5.57) into (5.41) we obtain the longitudinal and transverse components of the complex magnetic susceptibility, namely... 

Molar magnetic susceptibility Volume magnetic susceptibility Ti Constant of spin-lattice or longitudinal relaxation... 

Xii(o>) = magnetic susceptibility x(q, a>) = electronic susceptibility XzziQ ") = longitudinal susceptibility 1/ (2) = trigamma function ip z) = digamma function o) = Matsubara frequencies op(fl) = dispersion of optical phonons oj(q) = dispersion of magnetic excitons phonon mode frequencies = antisymmetric part of deformation tensor... 

Ax = X ( X Ae = E - Ej are the magnetic susceptibility and dielectric constants of the monomenc unit in directions parallel and peipendicular to the longitudinal axis of the molecule, respectively. 

Aj (extracted from measurements along and normal to the nematic director), is proportional to the nematic order parameter S. The proportionality constant is the anisotropy of the corresponding molecular attribute (Aj - A ). When the longitudinal and transverse molecular attributes and At. respectively, are accessible, the nematic order parameter and its temperature dependence may be determined. Properties such as the molar refractivity, polarizability, magnetic (dielectric) susceptibility, etc., are typical quantities that have been studied to infer the nematic order parameter. 

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