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Applying the method of beta -radiation detected nuclear magnetic resonance/relaxation ( beta -NMR) to 8Li nuclei in 7Li3N single crystals comprehensive information on static and dynamic properties was obtained. Below T approximately=200 K the electric field gradients (EFG) at the two inequivalent Li lattice sites (Li(1), Li(2)) were determined. The spin-lattice relaxation (SLR) behavior above T approximately=300 K and the 8Li NMR signals in the extreme narrowing regime (T>or=500 K) could be attributed to interlayer diffusion involving Li+ jumps between Li(1) and Li(2) lattice sites ((1 to or from 2) jumps). In the temperature range 200 K

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