Abstract
Expressions derived from a rotational Fokker-Planck equation based on a Langevin model are employed to calculate the nuclear magnetic relaxation rates in spherical molecules which result from intramolecular dipole-dipole interactions, spin-rotational interactions, and quadrupole interactions. The results for the Langevin model are compared with results calculated by use of a rotational-diffusion equation, results calculated by use of the $J$-diffusion model, and experimental results for liquid C${\mathrm{Cl}}_{4}$ and liquid Cl${\mathrm{O}}_{3}$F. The relation between the correlation time for dipole-dipole and quadrupole interactions and the correlation time for spin-rotational interactions calculated from the Langevin model agrees better with the experimental results than does the relation calculated from the rotational-diffusion equation, but not quite as well as does the relation calculated from the $J$-diffusion model.
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