The systems of Pb-Sn and Sb-Bi chalcogenides were examined for the for
mation of solid solutions. In the system PbS - PbSe - SnS - SnSe at 50
0 degrees C, both cubic (NaCl-type) and orthorhombic (GeS-type) solid
solutions are extensive, whereas in the system PbSe - PbTe - SnSe - Sn
Te, the cubic solid-solution is the dominant phase, and the orthorhomb
ic solid-solution is limited to the SnSe comer. Between Pb-Sn sulfides
and tellurides, ranges of solid solution are restricted. In the Sb-Bi
chalcogenides, the systems Sb2S3 - Sb2Se3 - Bi2S3 - Bi2Se3 and Sb2Se3
- Sb2Te3 - Bi2Se3 - Bi2Te3 at 500 degrees C are characterized by exte
nsive orthorhombic and hexagonal solid-solutions, respectively. Tetrad
ymite is stable in the system Sb2S3 - Sb2Te3 - Bi2S3 - Bi2Te3 at 500 d
egrees C. Several ranges of solid solutions that form in these systems
cannot be successfully explained by using ionic size and electronegat
ivity, the traditional parameters. R(pi) and R(sigma) of St. John and
Bloch (1974) are used to differentiate between NaCl- and GeS-type stru
ctures in the case of Pb-Sn chalcogenides and between stibnite- and te
tradymite-type structures in the case of Sb-Bi chalcogenides. The two
parameters are defined by r(s) and r(p), the radii of the s and p orbi
tals. For a bond between atoms A and B, they can be calculated as foll
ows: R(pi)(AB) = R(pi)(A) + R(pi)(B) = (r(p)(A) + r(s)(A)) + (r(p)(B)
- r(s)(B)) and R(sigma)(AB) = R(sigma)(A) + R(sigma)(B) = (r(s)(A) + r
(p)(A)) - (r(s)(B) + r(p)(B)).