Syntheses for the deconvolution of the Patterson function. IV. Refinement of the theory and a general comparison of the various syntheses

Abstract

The details of the γ class of syntheses are given in this paper. The theory of the standard syntheses namely, |F|, exp[iα], exp[2iα], 1/|F| and 1/F is refined to the next higher order of approximation. The results are then applied to work out the ratio ρ of the strength of the peak at the unknown to that at the known atomic positions in the α, γ, α', β' and γ' syntheses. Finally a general comparison of the various syntheses is made using the above ratio as the criterion for judging their relative merits.