Fl. Cumbrera et al., AN IMPROVED METHOD FOR THE NORMALIZATION OF THE SCATTERED INTENSITY AND ACCURATE DETERMINATION OF THE MACROSCOPIC DENSITY OF NONCRYSTALLINEMATERIALS, Journal of applied crystallography, 28, 1995, pp. 408-415
During the past few years, several studies have been carried out of th
e structural characterization of amorphous materials using the Monte C
arlo method. It has been shown that a variety of errors gives rise to
pronounced artifacts in the R-space correlation functions, which may h
inder the accurate interpretation of the Monte Carlo results. The elim
ination of these ambiguities, particularly for heteroatomic systems, d
emands very careful experiments in association with careful error anal
ysis. Recently, Kaszkur [J. Appl. Cryst. (1990), 23, 180-185] presente
d a theory describing some convolutional properties of the reduced int
erference function. This procedure enables an estimation of the normal
ization constant (in all probability, nowadays, one of the more seriou
s limitations in obtaining significant and reproducible radial distrib
ution functions) with a high degree of accuracy. Since the Kaszkur for
mulation is limited to monoatomic substances, the present work recalls
his basic arguments with the aim of extending them to the most genera
l case of heteroatomic materials. In addition, the proposed procedure
allows an overall insight into the quality of the measured data and de
termination of the macroscopic density on the basis of the scattered i
ntensities. The success of the procedure is proved by its application
to two experimental data sets and one simulated example.