Ten selected sartorite homologues (Pb-As sulfosalts) and related compounds
(mainly Tl-Sb-As sulfosalts) were investigated on modular and polyhedral le
vel. For the cations with active lone-electron pairs crystal chemical trend
s could be established and correlated to the polyhedral settings by means o
f the polyhedral parameters; polyhedral volume, volume of circumscribed sph
ere, eccentricity, and volume distortion. For the As, Sb, and Pb coordinati
ons, pairs of opposing bonds plotted into an xy-diagram form element specif
ic hyperbolae. Besides the hyperbolic trend, a linear 'join' perpendicular
to the median line of two hyperbola arms was found for As and Sb. This situ
ation is regarded as the result of two superimposed but unresolved position
s in the same coordination polyhedron, with partly opposing long and short
bonds. The crankshaft chains (unbroken chains of short As-S and Sb-S bonds)
in the investigated sartorite homologues and the related compounds are ori
ented at right angles to each other in two adjacent planes within one tight
ly bonded double layer. The exceptions are synthetic BaSb2Se4 and rathite I
. This could explain the existence of the exsolution intergrowth of dufreno
ysite and rathite I which otherwise fall on the same isopleth in the phase
triangle Pb2S2 - (As,Sb)(2)S-3 - (Ag,Tl)(2)S.