R. Bolotovsky et P. Coppens, THE PHI-EXTENT OF THE REFLECTION RANGE IN THE OSCILLATION METHOD ACCORDING TO THE MOSAICITY-CAP MODEL, Journal of applied crystallography, 30, 1997, pp. 65-70
New expressions for the cp extent of the reflection range in the oscil
lation method are derived by the combination of analytical geometry wi
th the reciprocal-space and Ewald-sphere formalisms. The effect of cry
stal mosaicity is described by the extension of a reciprocal-lattice p
oint into a cap. The effective cylindrical coordinates of the reciproc
al-lattice point, corresponding to the cap points lying in the plane i
n which the cap has its maximum cp extent, are introduced. The effect
of beam divergence and wavelength spread are accounted for by consider
ation of a nest of the Ewald spheres. The expressions for intersection
of the mosaicity cap with the nest of the Ewald spheres are used to c
heck whether a reflection is fully or partially registered during the
crystal oscillations. The presented formulas have been incorporated in
to software for processing area-detector data.