Eddy currents and paramagnetic resonance in anisotropic conductors with application to TTF-TCNQ

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Abstract
A theoretical analysis of the eddy currents in an anisotropically conducting solid is given. The geometry considered is that of a long rectangular prism with the applied rf field parallel to the length. The solution for the rf field in the solid has been found in terms of a Fourier series, and the dissipated power and average energy stored have been calculated. The changes in resonant frequency and quality factor of a microwave cavity into which a sample has been introduced are expressed in terms of the stored energy and dissipated power. Application is also made to the EPR absorption due to spins uniformly distributed throughout the sample, as outlined by Bloembergen. The asymmetric resonance line is similar to that of the infinite plate, but the peak line anisotropy is reduced as sample dimensions are decreased. The analysis is applied to samples of TTF-TCNQ and the results tabulated for varied sample sizes.