The probability of nonradiative transition 2S1/2 → 2P1/2 in the case of grazing scattering of a hydrogen atom with an energy on the order of 1 keV at an Au and LiF surface is calculated in the semiclassical theory of nonadiabatic transitions. The transitions are induced by the interaction of the atom with the fields of surface plasmons and optical phonons, respectively. A formalism is developed which makes it possible to exceed the approximation based on the method of electrical images of charges. The value of the probability of scattering at LiF is high enough for experimental observation of the effect. The probability of this transition is determined for the motion of the atom parallel to the metal surface.