Self-induction of a fine cylindrical metallic wire versus a mechanism of electron surface scattering

The self-induction of a thin cylindrical metallic wire has been calculated. A general case when the ratio of the electron free path to the wire radius may take an arbitrary value has been considered. The dependence of the regular reflectance on surface defect density and angle of incidence of electrons on the wire's inner surface has been taken for boundary conditions of the problem.