Abstract
The phonon distribution and focusing of the heaviest and the lightest of the rare-gas solids, namely xenon and 3He, have been studied in detail. On the basis of the theoretical study, it is found that the phonon magnification factor (PMF) has unusually high values, of the order of 105, for the longitudinal mode for xenon. The slow shear mode also has high values for the PMF. The distribution in direction of the phonons in the group velocity space has been investigated using the Schmidt equal-area net. For the fast shear mode for xenon, the phonons are channelled along the principal symmetry planes and the phonons show very sharp focusing; there are also large islands bereft of any phonons. Since the values of C11 and C12 are very nearly equal for solid 3He, it shows an elastic anisotropy that is more similar to that of the A15 compounds exhibiting a soft mode than that of the other rare-gas solids. For the slow transverse mode, the elastic anisotropy is such that the group velocity and phase velocity vectors are nearly perpendicular. The polar Schmidt net for 3He does not show very sharp focusing traits or islands.
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