THE DEVELOPMENT OF MONTE-CARLO METHODS FOR CRYSTAL-STRUCTURE SOLUTIONFROM POWDER DIFFRACTION DATA - SIMULTANEOUS TRANSLATION AND ROTATION OF A STRUCTURAL FRAGMENT WITHIN THE UNIT-CELL
M. Tremayne et al., THE DEVELOPMENT OF MONTE-CARLO METHODS FOR CRYSTAL-STRUCTURE SOLUTIONFROM POWDER DIFFRACTION DATA - SIMULTANEOUS TRANSLATION AND ROTATION OF A STRUCTURAL FRAGMENT WITHIN THE UNIT-CELL, Journal of applied crystallography, 29, 1996, pp. 211-214
This paper reports the successful application of a Monte Carlo techniq
ue to the solution of the crystal structure of p-methoxybenzoic acid f
rom X-ray powder diffraction data collected on a conventional laborato
ry diffractometer. The 'structural fragment' used in the Monte Carlo s
tructure solution calculation comprised the C and O atoms of the benzo
ate group (i.e. C6CO2) plus the O atom of the methoxy group in the par
a position. The structural fragment was translated and rotated through
the unit cell under a Monte Carlo algorithm, with trial structures ac
cepted or rejected on the basis of Metropolis importance sampling. The
best position of this structural fragment was discriminated readily (
using the profile R factor R(wp) to assess the agreement between exper
imental and calculated X-ray powder diffractograms) from 'wrong' posit
ions sampled during the Monte Carlo calculation, and the best position
was then used as the initial structural model in Rietveld refinement
and difference-Fourier calculations. This represents the first success
ful report of the use of simultaneous translation and rotation of the
structural fragment in crystal structure solution from experimental po
wder diffraction data using the Monte Carlo method.