The waves localized near the free surface (001) of a fcc crystal and propagating along the [110] direction are analyzed in the model of central interaction of nearest neighbors. The frequencies of these waves fall in the gaps of the frequency spectrum of bulk harmonic vibrations for a fixed value of the wave vectorkalong the surface. The long-wave limit and the case of wave vectors close to the Brillouin zone boundary are studied analytically. These limiting dependences are in accord with the results obtained earlier by other authors by numerical methods. The analytical calculations in the limiting intervals of vectorkare supplemented with numerical calculations for arbitrary values of wave vectors. It is significant that the waves under investigation have a displacement component perpendicular to the crystal surface and hence can be studied by standard methods of inelastic scattering of helium atoms. ©1997 American Institute of Physics.