Ab initio calculations of cross sections and rate constants for elastic scattering and Zeeman relaxation in collisions of NH(X (3)Sigma(-)) molecules with He-3 atoms in a magnetic field are presented and the mechanism for Zeeman transitions in ground-state (3)Sigma molecules is established. The potential surface for He-NH interaction is obtained using all-electron coupled-cluster calculations with single, double, and noniterative triple excitations in a basis set augmented by bond functions. The ratio of the rates for elastic energy transfer and Zeeman relaxation in NH-He-3 collisions exceeds 10(5) at temperatures between 0.5 and 1 K.
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