C. Giacovazzo et al., THE TRANSLATION PROBLEM IN MOLECULAR REPLACEMENT TECHNIQUES - I - ABOUT THE ROLE OF TRIPLET INVARIANTS, Acta crystallographica. Section A, Foundations of crystallography, 54, 1998, pp. 617-625
The case of a well oriented but randomly positioned molecule has been
treated in a pioneering paper by Main (1976) [in Crystallographic Comp
uting Techniques, edited by F. R. Ahmed. Copenhagen: Munksgaard]. The
formula proved quite effective for small molecules but in its original
form is inadequate for solving the translation problem in molecular r
eplacement techniques applied to proteins. The Main formula has been s
uitably modified: applications to test structures show that the use of
direct methods may be a valid alternative to the widely used translat
ion functions.