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

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  • McConnell, James

Abstract

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.

Suggested Citation

  • McConnell, James, 1982. "Stochastic differential equation study of nuclear magnetic relaxation by spin-rotational interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(1), pages 85-113.
    • Handle: RePEc:eee:phsmap:v:111:y:1982:i:1:p:85-113
    DOI: 10.1016/0378-4371(82)90084-X
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    1. Nelson McClung, 1980. "Relevance in Economic Measurement: Public Inheritances," NBER Chapters, in: Modeling the Distribution and Intergenerational Transmission of Wealth, pages 289-319, National Bureau of Economic Research, Inc.
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