Fe-Zn exchange reaction between tetrahedrite and sphalerite in natural environments

Microprobe and fluid inclusion analyses of hydrothermal ore deposits containing the subassemblage sphalerite+ tetrahedrite-tennantite (Cu, Ag)₁₀(Fe, Zn)₂(As,Sb)₄S₁₃] reveal that the Gibbs energies of the reciprocal reaction Cu₁₀Zn₂Sb₄S₁₃ + Cu₁₀Fe₂As₄S₁₃ = Cu₁₀Fe₂Sb₄S₁₃ + Cu₁₀Zn₂As₄S₁₃ and the Fe-Zn exchange reaction 1/2Cu₁₀Fe₂Sb₄S₁₃ + ZnS = 1/2Cu₁₀Zn₂Sb₄S₁₃ + FeS are within the uncertainties of the values established by Sack and Loucks (1985) and Raabe and Sack (1984), 2.59±0.14 and 2.07±0.07 kcal/gfw. However, this study suggests that the Fe-Zn exchange reaction between sphalerite and Sb and Ag-rich tetrahedrites does not obey the simple systematics suggested by Sack and Loucks (1985) wherein tetrahedrite is assumed to behave as an ideal reciprocal solution. Instead these studies show that the configurational Gibbs energy of this exchange reaction,RTln(X _Fe/X _Zn)^TET(X _ZnS/X _FeS)^SPH], corrected for sphalerite nonideality exhibits both a local maximum and minimum as a function of Ag/(Cu+Ag) ratio at a givenX _FeS ^SPH and temperature. The local maximum forX _FeS ^SPH 0.10 corresponds to the position of the cell edge maximum established for natural tetrahedrites by Riley (1974), Ag/(Ag+Cu)0.4. These studies and the results of structural refinements of Ag-bearing tetrahedrites suggest that in low silver tetrahedrites Ag is preferentially incorporated in trigonal-planar sites but that in tetrahedrites with intermediate and greater Ag/(Ag+Cu) ratio, Ag is preferentially incorporated in tetrahedral sites. A nonconvergent site ordering model for tetrahedrite is developed to quantify and extrapolate these predictions.