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The derivation of the representations of a simple or double point group G+ is compared with that of the corepresentations of a non-trivial magnetic group G+m, isomorphous with G+, starting from the representations of their common invariant subgroup H+ of index two.
From the Patterson function Ui vectors can be found, with P(Ui) ~ 0. This information with Q(x) 0 can be used to derive a structure-factor equation of the type: FhFk - h exp ( - 2/h. Ui) 0. For a simple model, the Sayre model, we compare the phase information deduced from probability formulae,...
The proposal by Booth Nature, Lond. (1947), 160, 196 of shuffling the atoms of a random structure seems somewhat likelier to lead to a solution than that by Lenstra Acta Cryst. (1974), A30, 363-369 of adding atoms one or a few at a time to a null structure.
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