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Due its versatility in using different probe nuclei it can sense the local magnetic fields at different sites in the crystalline structure of materials. In this review, important results obtained with PAC spectroscopy are shown in two classes of materials: transition metal and transition-metal based compounds and rare earth elements and rareearth-element based compounds using mainly three different probe nuclei: 111Cd, 181Ta and 140Ce. PAC spectroscopy has contributed to the systematic study of the magnetic hyperfine field in impurities in matrices of Fe, Co and Ni as well as in transition-metal based Heusler alloys.
In one of these mechanisms, the coupling between 4f-spins is mediated by means of spin polarization of the s-conduction electrons, which occurs by exchange interaction with the 4f electrons. The indirect interaction between localized moments was first introduced by Ruderman and Kittel  to describe the coupling of nuclear magnetic moments in a metal via hyperfine interaction with conduction electrons. Kasuya and Yosida extended this theory to explain the exchange interaction between localized magnetic moments completing the so-called RudermanKittel-Kasuya-Yosida (RKKY) theory.
Zacate, A. Favrot, and G. S. Collins: Phys. Rev. Lett. Vol. 92 (2004), p. 225901; Erratum, Phys. Rev. Lett. Vol. 93 (2004), p. 49903. 107. G. S. Collins, A. Favrot, L. Kang, D. Solodovnikov, and M. O. Zacate: Defect and Diffusion Forum Vol. 237-240 (2005), p. 195. 108. Xia Jiang, Matthew O. Zacate, and Gary S. Collins: Defect and Diffusion Forum Vol. 289-292 (2009), p. 725. 109. W. Witthuhn: Nuclear Instruments and Methods in Physics Research Vol. B63 (1992), p. 209. 110. Norbert Achtziger and Wolfgang Witthuhn: Phys.