A survey is given on the occurrence of several structure types in near
ly 300 RMX phases formed by the divalent metals Ca, Sr, Ba, Eu and Yb
and nearly 1000 formed by the trivalent rare earths, Sc and Y, where M
is a d-block element, Li or Mg and X is a p-block element. Structural
maps are proposed for phases with valence electron concentrations of
7/3 and 8/3 electrons per atom, using as coordinates the combination o
f the elemental radii, r(R)/(r(M)+r(X)), the combination of the three
electronegativities on the Miedema scale, phi(M)+phi(X)*-phi(R)*, and
the period number of the X element. Though many structure types are c
losely related and sometimes a certain overlap of the domains cannot b
e avoided, some predictions for ternary phases not yet studied can be
made. Volume effects in the formation of these ternary phases were als
o analysed. The volume of an RMX compound can with good confidence be
expressed as a mean of the volumes of the two binary compounds RM, and
RX, calculated with equations already applied to binary systems of al
kaline earths and rare earths.