TY - JOUR

T1 - Analysis of Diffuse Scattering from Single Crystals via the Reverse Monte Carlo Technique. I. Comparison with Direct Monte Carlo

AU - Welberry, T. R.

AU - Proffen, Th

PY - 1998/6/1

Y1 - 1998/6/1

N2 - The use of the reverse Monte Carlo (RMC) technique for analysing diffuse scattering data from single crystals is compared with the well established direct Monte Carlo (MC) method. Whereas in the MC method a model involving only a few interatomic interaction parameters is used, for RMC the atom coordinates themselves are the variables and problems related to underdeterminacy can arise. Attempts to use the RMC technique to obtain short-range correlation information for a relatively simple real physical system, the Tl cation distribution in TlSbOGeO4, are described. It is found that the RMC method has two conflicting requirements. If the size of the model system is sufficiently large to give a workably smooth calculated diffraction pattern, then the number of variables inherent in the structure is so large that it far exceeds the number of observed data, and the fit obtained is completely spurious. On the other hand, if the model system is kept sufficiently small so that the number of observations greatly exceeds the number of variables, then the calculated diffraction pattern is so noisy that meaningful short-range correlation information is difficult to discern. Even for small systems, it appears that RMC refinement using the goodness-of-fit parameter, χ2, results in adjustment of the many longer-range correlations to obtain the fit rather than the relatively few short-range correlations. Despite the poor performance of the currently implemented RMC algorithm for extracting short-range correlation information, there are some grounds for optimism that the method can provide useful information. Although the derived short-range correlation values present in the final refined coordinates were barely significantly different from zero, it was nevertheless possible to discern consistent trends as the simulations progressed that could provide useful guidance in establishing a better MC model. Ways in which the RMC methodology might be improved have been suggested by the study, although these would require even greater computational resources.

AB - The use of the reverse Monte Carlo (RMC) technique for analysing diffuse scattering data from single crystals is compared with the well established direct Monte Carlo (MC) method. Whereas in the MC method a model involving only a few interatomic interaction parameters is used, for RMC the atom coordinates themselves are the variables and problems related to underdeterminacy can arise. Attempts to use the RMC technique to obtain short-range correlation information for a relatively simple real physical system, the Tl cation distribution in TlSbOGeO4, are described. It is found that the RMC method has two conflicting requirements. If the size of the model system is sufficiently large to give a workably smooth calculated diffraction pattern, then the number of variables inherent in the structure is so large that it far exceeds the number of observed data, and the fit obtained is completely spurious. On the other hand, if the model system is kept sufficiently small so that the number of observations greatly exceeds the number of variables, then the calculated diffraction pattern is so noisy that meaningful short-range correlation information is difficult to discern. Even for small systems, it appears that RMC refinement using the goodness-of-fit parameter, χ2, results in adjustment of the many longer-range correlations to obtain the fit rather than the relatively few short-range correlations. Despite the poor performance of the currently implemented RMC algorithm for extracting short-range correlation information, there are some grounds for optimism that the method can provide useful information. Although the derived short-range correlation values present in the final refined coordinates were barely significantly different from zero, it was nevertheless possible to discern consistent trends as the simulations progressed that could provide useful guidance in establishing a better MC model. Ways in which the RMC methodology might be improved have been suggested by the study, although these would require even greater computational resources.

UR - http://www.scopus.com/inward/record.url?scp=0001172746&partnerID=8YFLogxK

U2 - 10.1107/S0021889897010789

DO - 10.1107/S0021889897010789

M3 - Article

AN - SCOPUS:0001172746

SN - 0021-8898

VL - 31

SP - 309

EP - 317

JO - Journal of Applied Crystallography

JF - Journal of Applied Crystallography

IS - 3

ER -