A model is developed for the thermodynamic mixing properties of polyba
site-pearceite (Ag,Cu)16(Sb,As)2S11 solid solutions. In this model the
configurational entropy is formulated for the assumption that Ag and
Cu display long-range, nonconvergent, ordering between three crystallo
graphically distinct sites and that As and Sb mix randomly on one type
of site. The nonconfigurational Gibbs energy is described using a Tay
lor series of second degree in composition and ordering variables. Mod
el parameters are calibrated from constraints on 75-degrees-C miscibil
ity gaps derived from unmixing experiments on (Ag,Cu)16(Sb.5As.5)2S11
grains (X(Cu)Pb-Pr greater-than-or-equal-to 0.32) and from 75-350-degr
ees-C Ag-Cu exchange experiments (evacuated silica tubes; variable mas
s ratio) between polybasite-pearceites and one- and two-phase subassem
blages in the Ag2S-Cu2S subsystem. The resulting model is consistent w
ith the distribution of polybasite-pearceite compositions observed in
nature. It is also consistent with the inferences that (1) only slight
negative departures from ideality are associated with the Cu for Ag s
ubstitution (less-than-or-equal-to -0.13 kJ/gfw for polybasite and les
s-than-or-equal-to -0.22 kJ/gfw for pearceite on a one Cu + Ag formula
basis), (2) positive deviations from ideality due to the As-Sb substi
tution in polybasite-pearceite (less-than-or-equal-to 1.0 kJ/gfw on a
one As-Sb site formula basis) are virtually identical to those in tetr
ahedrite-tennantite fahlores (Sack and Ebel 1993), and (3) the Gibbs e
nergy of formation of Ag16Sb2S11 polybasite is 4.58 +/- 1.4 kJ/gfw mor
e positive than the equivalent combination of beta-Ag2S and Ag3SbS3 py
rargyrite at 400-degrees-C.