Elimination of the finite-range effect on the block-size distribution from the Fourier transform

F. Popescu, L. Beneš
1977 Acta Crystallographica Section A  
A diffraction profile can be recorded for only a finite range around the peak. This leads to spurious oscillations in the block-size distribution determined by means of the Fourier transform. The Bertaut [Acta Cryst. (1952), 5, 117-121] correction gives an approximate distribution gl(m) related to the real one g(m) by a convolution product with a function d(m), of the type (sin x)/x. A modified variant of the successive-convolution unfolding method is proposed by considering the convolution
more » ... the convolution product only over a finite size range where the distribution could be non-zero. The method was tested for two hypothetical distributions. A procedure to set the limits of the size interval is suggested.
doi:10.1107/s0567739477000783 fatcat:uwcjyxcei5fu7ezvrs3dd5okhy