A self-consistent theory of electron scattering at the real disordered interfaces in the layered nanostructures is developed. This theory generalizes the well known quantum mechanics results on the electron transmission through and reflection from the potential steps/wells/barriers for the case of the intermixed (alloy-like) interfaces. The closed analytical expressions for the specular and diffuse factors for electron reflection and transmission are obtained in the self-consistent (coherent potential) approach and plotted. It is particularly shown that the diffuse scattering results in electron scattering to the areas inaccessible for specular scattering at the perfect interfaces. Also, the specular transmission probability over a potential well exhibits the additional (to the conventional resonance states) oscillations caused by the real part of the effective scattering (at disordered interfaces) potential. The obtained results are believed to be important for interpreting the giant and tunneling magnetoresistance effects in the real layered nanostructures.

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