The possibilities for investigating multilayer mirror structures by nondest
ructive nuclear techniques have been considered. For the example of a singl
e-layer mirror, it has been shown that the presence of five nickel isotopes
affects the shape of the Rutherford backscattering spectrum. The content o
f these elements in a nickel layer is determined by using the technique of
nuclear reactions on carbon and oxygen. The depth profiles have been establ
ished for all major elements and impurities in the composition of mirror po
larizing neutron monochromators based on FeCo/TiZr with a TiZrGd sublayer d
eposited on glass. Surface roughness has been estimated on the basis of the
same experimental spectra. The experimental results obtained in this study
have been employed to refine technologies for manufacturing multilayer str
uctures with improved polarizing features.