The specific features of the atomic crystal structure of solids with small (<100 nm) sizes of particles in ultrafine (nano) powders have been investigated. It has been shown that, in contrast to the case of coarsegrained materials, distortions of the atomic order occur as an inhomogeneous deformation in surface layers. The distributions of impurity atoms (in the case of a solid solution) and the second phase (in the case of multiphase systems) from the center to the periphery are also inhomogeneous. The atomic distribution function along the radius of a nanoparticle, which characterizes its atomic structure as intermediate between the crystalline and amorphous structures, has been constructed.