Three-Dimensional Predominance Volume Diagrams: The Ni-As-S-O System
The 3D predominance volume diagram (PVD) for the Ni-As-S-O system at 700 K (427 °C) was constructed using independent gases O{sub 2}, SO{sub 2}, and As{sub 4}O{sub 6}. The system has 15 four-condensed-phase invariant points. Invariant points, fixed by any combination of boundaries and condensed phases totaling four, were determined by a Gibb’s minimization routine that searched from a corner of the PVD along each undetermined line emanating from this and subsequently-identified invariants. The search direction was determined from the cross product of the two independent planes’ normal direction vectors. The 0.25 atm and 1.00 atm isobaric surfaces intersect the Ni{sub 3}As{sub 2}O{sub 8}, NiO, NiSO{sub 4}, Ni{sub 1−x}S, NiS{sub 2}, and Ni{sub 11}As{sub 8} phases. The 1.00 atm surface also intersects the NiAs phase. The PVD results agree with published ternary and quaternary phase diagram Alkemade lines. If the roasting of gersdorffite (NiAsS) parallels the roasting of enargite (Cu{sub 3}AsS{sub 4}), gersdorffite is expected to initially react irreversibly with O{sub 2} in the roasting gas to form NiS and NiSO{sub 4} topochemical layers with arsenic being expelled as As{sub 4}O{sub 6} gas and perhaps As{sub 4} gas once a diffusion-controlled topochemical reaction sequence is established. Thermochemical calculations showed that the formation of NiO from NiSO{sub 4} and Ni{sub 3}As{sub 2}O{sub 8}, if present, becomes more favorable as the temperature is increased with complete conversion to NiO above 1086 K and 1160 K (813 °C and 887 °C), respectively, at 1.00 atm.