Direct phasing needs additional information of a non-specific kind in order
to select the correct phase set from all possible ones. This paper analyse
s the use of constraints which can be formulated in terms of electron-densi
ty values. One- and multi-dimensional histograms and connectivity propertie
s are implemented as such constraints in density-modification procedures. T
hese approaches usually cannot unambiguously select the best solution from
a set of alternative phase variants. Nevertheless, they do allow the reject
ion of wrong solutions and the use of cluster analysis and averaging on the
remaining variants provide a good starting point for further phase-refinem
ent procedures.