Displacement Distribution of a freely Oscillating Rutile Sphere

In order to clarify free oscillations of an elastically anisotropic sphere, the eigenfrequencies and displacements were computed by the Rayleigh-Ritz method for a single crystal rutile sphere. The oscillation modes of the sphere are classified into ten groups belonging to the point group D 4h . We confirm that the computed eigenfrequencies satisfactorily agree with the observed ones and that all the computed displacement distributions satisfy the symmetric properties required by the group theory on the point grop D 4h