A new derivation of a trial structure of the NaCd2 compound is describ
ed. It is based on the application of the stochastic method in a form
which is particularly useful in the derivation of trial structures of
intermetallic compounds of high crystal symmetry for which the radius
ratios of the component metals are of the appropriate magnitudes. In t
his form the initial assumption is made that the structure is tetrahed
rally close-packed and that the coordination polyhedra are all the usu
al with coordination numbers 12, 14, 15 and 16, respectively. These re
strictions are first invoked in the search for the correct structural
arrangements along the symmetry axes. Only those arrangements are cons
idered which have small packing strains along these axes when calculat
ed using the metallic radii for coordination number 12.