Abstract
The problem of lattice distortion near a free surface is discussed for an fcc crystal using the general invariance and symmetry properties of the crystal potential energy. The atomic force tensors were determined assuming a C 4v symmetry in the surface region, when the atoms are in the ideal lattice configuration. All the anharmonic effects are neglected. From invariance requirements it results that the static displacements are directed along the normal to the surface. They can be calculated using the Green's function method. Detailed calculations were done for a finite slab in the nearest neighbour approximation.
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