Stochastic differential equation study of nuclear magnetic relaxation by spin-rotational interactions

The mathematical methods based on stochastic differential equations and the rotation operator, which were developed for the study of rotational Brownian motion and its implications for dielectric dispersion and absorption, are extended so as to yield ensemble averages of certain products of orientational and angular velocity functions. As a consequence, a procedure for calculating nuclear magnetic relaxation times arising from spin-rotational interactions, when inertial effects are included, is presented for molecules of any shape. (orig.)