“…The measurements of the 27 Al spin-lattice relaxation time were carried out at 77 K with the NMR spectrometer in a constant field B ϭ 0.49 T. Since 27 Al nuclei have the quadrupole moment (I ϭ 5 2 ), the energy levels of 27 Al in hexagonal Al 2 O 3 crystals are not equidistant at arbitrary sample orientation in the magnetic field. As a result, the total relaxation process is a superposition of several exponential processes and the re-laxation rate is different for different pairs of spin levels (19,21). In this connection, we performed the measurements when the sample was oriented at the magic angle (1) and the energy levels were nearly equidistant.…”