An approximate dispersion curve for the optical branch of the lattice vibration is used to estimate the spin-lattice relaxation time attributed to optical phonons. The relaxation rate is found to be T₁^-1∝exp(-ω₀ⱼkT), where ω₀ⱼ is an optical-phonon frequency at k=0. It is also found that if the band-width of the optical mode is narrow, if the optical-phonon energy is low, and if the lattice vibration is even, then the spin-optical phonon relaxation process can dominate the conventional acoustical processes. The applications of the theory to some experimental results are also discussed.
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Chao‐Yuan Huang (1967) studied this question.
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