Through the technique of adiabatic demagnetization of paramagnetic salts substances may be cooled to temperatures of the order of 0.1° K and 0.01° K. At these low temperatures the hyperfine structure interaction can produce an appreciable degree of nuclear orientation. The orientation of an assembly of radioactive nuclei may be detected by measuring the anisotropy in the emission of gamma radiation. By this method we have investigated nuclear orientation in paramagnetic, antiferromagnetic and ferromagnetic substances. We have studied the nuclear orientation of Pr¹⁴² and Yb¹⁷⁵ introduced as impurities in paramagnetic single crystals of cerium magnesium nitrate. The anisotropy of the 1.57 Mev. γ-ray of Pr¹⁴² was measured as a function of tem...