Techniques and methods to facilitate the solution of structures by simulate
d annealing have been developed from the starting point of a space group an
d lattice parameters. The simulated-annealing control parameters have been
systematically investigated and optimum values characterized and determined
. Most significant is the inclusion of electrostatic-potential penalty func
tions in a non-linear least-squares Rietveld refinement procedure. The long
-range electrostatic potentials are calculated using a general real-space s
ummation which can be used for all space groups. In addition, a general wei
ghting scheme for penalty functions negates the need to determine weighting
schemes experimentally. Also investigated and improved is the non-linear l
east-squares minimization procedure used in the refinement of structural pa
rameters. The behaviour and success of the techniques have been tested on X
-ray diffraction powder data against the known structures of AlVO4 in P1 wi
th 18 atoms in the asymmetric unit, K2HCr2AsO10 in P3(1) with 15 atoms in t
he asymmetric unit excluding hydrogen, and [Co(NH3)(5)CO3]NO3 .H2O in P12(1
) with 15 atoms in the asymmetric unit excluding hydrogen.