Abstract
A discussion is given of surface elastic waves in cubic crystals. The requirements on the elastic constants for the existence of Rayleigh waves and of generalized Rayleigh waves are presented. The modifications of the surface waves introduced by the discrete character of the crystal lattice are illustrated by calculations for a monatomic simple cubic lattice with short-range forces. These changes involve the dependence of frequency on wave number and the dependence of displacement amplitude on distance from the free surface. The effect of increasing the range of the interatomic forces is illustrated by calculations on a one-dimensional model. This model is also used to show how changes in the force constants near a free boundary influence the existence of surface modes. Finally, surface effects on the Debye–Waller factor and on the second-order Doppler shift in the Mössbauer effect are discussed.
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