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A method is presented to calculate the spin relaxation times T1, T2 due to anon-uniform magnetic field, and the linear-in-electric-field precessionfrequency shift {\delta}{\omega}E when an electric field is present, in thediffusion approximation for spins confined to a rectangular cell. It is foundthat the rectangular cell geometry admits of a general result for T1, T2, and{\delta}{\omega}E in terms of the spatial cosine-transform components of themagnetic field.

Spin relaxation and linear-in-electric-field frequency shift in an arbitrary, time-independent magnetic field