Abstract
Using \ensuremath{\beta}-radiation-detected nuclear magnetic resonance (\ensuremath{\beta}-NMR) in the special form of cross-relaxation spectroscopy we studied the diffusional behavior of implanted ${}^{12}\mathrm{B}$ nuclei in Cu single crystals at temperatures $T=115--750\mathrm{K}.$ An extended and completely revised dynamic theory of nuclear cross relaxation is developed to analyze the experimental data. Especially the incorporation of (hitherto neglected) spin-lattice relaxation effects turned out to be an important improvement. Applying this formalism we obtain activation energies of ${E}_{a}=0.57(5)\mathrm{eV}$ for the migration of interstitial B, the dominating fraction for $T\ensuremath{\lesssim}400\mathrm{K},$ and of ${E}_{a}=1.15(10)\mathrm{eV}$ for substitutional B formed at higher temperatures. The previously found direct-exchange mechanism for the diffusion of substitutional B in Cu is confirmed by our analysis.
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