NUKLEONIKA 1997, 42(1):137-141

 


NEW APPROACH TO COMPTON PROFILES DATA ANALYSIS



G. Kontrym-Sznajd

W. Trzebiatowski Institute of Low Temperature and Structure Research,
Polish Academy of Sciences, P.O. Box 937, 50-950 Wroclaw 2, Poland


In this paper we present an inversion of the Radon transform for N-dimensional space in terms of spherical harmonics and orthogonal polynomials. Partial solution for N = 3 leads to a new method for reconstructing electronic densities from experimental Compton profiles. This techniques, based on the expansion of experimental spectra and densities into Jacobi polynomials is compared with other reconstruction methods.


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