Extremely asymmetric diffraction as a method of determining magneto-optical constants for X-rays near absorption edges

The spectral dependence of the Bragg peak position under conditions of extremely asymmetric diffraction has been analyzed in the kinematical and dynamical approximations of the diffraction theory. Simulations have been performed for the L$_3$ absorption edge of yttrium in a single crystal YFe$_2$ film; they have shown that the magneto optical constants (or, equivalently, the dispersion corrections to the atomic scatter ing factor) for hard X rays can be determined from this dependence. Comparison with the experimental data obtained for a Nb(4 nm)/YFe$_2$(40 nm $\langle 110 \rangle$)/Fe(1.5 nm)/Nb(50 nm)/sapphire sample at the European Synchrotron Radiation Facility has been made.