Computer Science
Scientific paper
Jun 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gecoa..51.1755g&link_type=abstract
Geochimica et Cosmochimica Acta, vol. 51, Issue 6, pp.1755-1763
Computer Science
15
Scientific paper
Enthalpy of solution measurements of synthetic garnet solid solutions on the joins Fe 3 Al 2 Si 3 O 12 (almandine)-Ca 3 Al 2 Si 3 O 12 (grossular) and Fe 3 Al 2 Si 3 O 12 -Mg 3 Al 2 Si 3 O 12 (pyrope) have been made in eutectic (Li, Na)BO 2 at 760°C. Garnets were prepared by high pressure, high temperature crystallization of homogeneous glasses and mechanical mixtures of end-member glasses and characterized by X-ray diffraction, microprobe analysis and Mössbauer resonance spectroscopy. Less than one percent of the total iron is ferric. The calorimetry shows that Ca, Fe 2+ enthalpy of mixing in garnet is virtually zero and that Mg, Fe 2+ mixing is substantially non-ideal, with largest positive deviations near the almandine composition. Leastsquares fits to the midpoints of the experimental brackets, including the end-members, give, for (Fe, Ca) 3 Al 2 Si 3 O 12 and (Fe, Mg) 3 Al 2 Si 3 O 12 solid solutions: W H G r = -9.08 KJ, W H A1 = 13.68 KJ , W H P y = 36.17 KJ, W H A1 = -15.76 KJ where H ex = X 2 Gr X A1 W H A1 + X 2 A1 X Gr W H Gr and similarly for the almandine-pyrope excess enthalpy. These calorimetric results are not predictable from ionic size considerations, which would suggest ideality for Mg, Fe 2+ mixing and considerable non-ideality for Ca, Fe 2+ mixing. They are, however, consistent with predictions based on analysis of natural garnet occurrences. Apparently, subtle effects of X -site volume and distortion in garnet solid solutions produce important energetic effects not currently predictable from crystal chemistry. The present calorimetry, in conjunction with experimental phase equilibrium work, indicates that excess entropy in both solid solutions is very small.
Geiger Charles A.
Kleppa O. J.
Newton Robert C.
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