By I A Vartanyants Affiliation: A V Shubnikov Institute of Crystallography, Russian Academy of Science, Leninsky pr. 59, 117333 Moscow, Russia; M V Kovalchuk
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Additional resources for Theory and applications of x-ray standing waves in real crystals
Sample text
According to expression (109), outside the region of the total reflection the scattering amplitude R(θ) is the Fourier transform of the complex function F (z). This function and thus the structure of the surface layer can be reconstructed directly by the use of the inverse Fourier transform. However, it is necessary to know both the amplitude and phase of R(θ). The amplitude of R(θ) can be obtained from the angular dependence of the reflectivity curve measured in a big angular range far from the exact Bragg condition according to equation 2 PR (θ) = Cp |R (θ)| , (110) where Cp is a polarization factor equal to Cp = (1 + C 3 )/(1 + C) in a double-crystal experimental scheme and parameter C is defined in (20).
Phys. Usp. 29, 426-446 (1986)]. , (1989) [in Russian]. [13] S. Annaka, S. Kohra, ”Intensity anomaly of thermal and Compton scattering of x-rays accompanying the Bragg reflection” J. Phys. Soc. Japan, 20, 2093 (1965). [14] S. Annaka, S. Kohra, ”Intensity anomaly of x-ray Compton and thermal scatterings accompanying the Bragg reflections from perfect Si and Ge crystals” J. Phys. Soc. Japan, 21, 1559– 1564 (1966). [15] S. Annaka, ”Direction dependence of the intensity anomaly of the x-ray thermal scattering accompanying the Bragg Case reflection”, J.
The obtained results show the effectiveness and mutual complementarity of the two methods for investigation of implanted crystals. The RBS experiments directly give the depth profiles of damage density for Si surface layer and the profile of implanted ions concentration. The XSW analysis is the precise phase sensitive e method. It gives directly the value of the phase ϕ(z) that in our case is equal to ϕ(z) = hu(z) + ϕF c , where u(z) is the deformation of the surface layer (in the case of the uniform deformation we have uz = (∆d/d)L e Fe and ϕF c = 2πPc .
Theory and applications of x-ray standing waves in real crystals by I A Vartanyants Affiliation: A V Shubnikov Institute of Crystallography, Russian Academy of Science, Leninsky pr. 59, 117333 Moscow, Russia; M V Kovalchuk
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