La3M1–xGaCh7 (M =Ga, Ag, Zn, Cd; Ch =S, Se) adopt related hexagonal structures.
Large displacements of M atoms originate from partial occupation of multiple sites.
Bond valence sum arguments give a simple explanation for site preference.
XPS studies confirm presence of monovalent Ag in La3Ag0.6GaCh7.
Substoichiometry in La3Ag0.6GaCh7 avoids occupation of Ag–Ch antibonding levels.