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Thermo-compression of pyrope-grossular garnet solid solutions: Non-linear compositional dependence

  • Wei Du EMAIL logo , Simon Martin Clark and David Walker
Published/Copyright: January 10, 2015
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American Mineralogist
From the journal American Mineralogist Volume 100 Issue 1

Abstract

Unit-cell parameters of a series of synthetic garnets with the pyrope, grossular, and four intermediate compositions were measured up to about 900 K and to 10 GPa using synchrotron X-ray powder diffraction. Coefficients of thermal expansion of pyrope-grossular garnets are in the range 2.10-2.74 × 10-5 K-1 and uniformly increase with temperature. Values for the two end-members pyrope and grossular are identical within experimental error 2.74 ± 0.05 × 10-5 K-1 and 2.73 ± 0.01 × 10-5 K-1, respectively. Coefficients of thermal expansion for intermediate compositions are smaller than those of end-members and are not linearly dependent on composition. Bulk modulus of grossular is Κ0 = 164.3(1) GPa (with Κ0′ the pressure derivative of the bulk modulus fixed to 5.92) and bulk modulus of pyrope is Κ0 = 169.2(2) GPa (with Κ0′ fixed to 4.4) using a third-order Birch-Murnaghan equation of state, which are consistent with previously reported values. The bulk moduli of garnets of intermediate composition are between ~155 and ~160 GPa, smaller than those of the end-members no matter which Κ0′ is chosen. The compositional dependence of bulk modulus resembles the compositional dependence of thermal expansion. Intermediate garnets on this binary have large positive excess volume, which makes them more compressible. We find that excess volumes in the pyrope-grossular series remain relatively large even at high pressure (~6 GPa) and temperature (~800 K), supporting the observation of crystal exsolution on this garnet join. The curiously “W”-shaped compositional variation of thermal expansion and bulk modulus is anti-correlated with the compositional dependence of microstrain documented in our companion paper (Du et al. in preparation) on the excess volumes in this series of garnets. Minimum thermal expansions and bulk moduli go with maximum microstrains.

Keywords: Pyrope-grossular garnet solid solution; thermal expansion; compressibility; excess volume
Received: 2013-9-20
Accepted: 2014-7-19
Published Online: 2015-1-10
Published in Print: 2015-1-1

© 2015 by Walter de Gruyter Berlin/Boston

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https://doi.org/10.2138/am-2015-4752
Keywords for this article
Pyrope-grossular garnet solid solution; thermal expansion; compressibility; excess volume

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  6. Microelectronic junctions in arsenian pyrite due to impurity and mixed sulfide heterogeneity
  7. The structure of water-saturated carbonate melts
  8. In-situ measurements of fluorine and chlorine speciation and partitioning between melts and aqueous fluids in the Na2O-Al2O3-SiO2-H2O system
  9. High-pressure high-temperature transitions in MgCr2O4 and crystal structures of new Mg2Cr2O5 and post-spinel MgCr2O4 phases with implications for ultrahigh-pressure chromitites in ophiolites
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  12. Tourmaline as a petrogenetic monitor of the origin and evolution of the Berry-Havey pegmatite (Maine, U.S.A.)
  13. Applications of Hirshfeld surfaces to mineralogy: An example of alumohydrocalcite, and the classification of the dundasite group minerals
  14. Optical absorption anisotropy of high-density, wide-gap, high-hardness SiO2 polymorphs seifertite, stishovite, and coesite
  15. The system Na2CO3-FeCO3 at 6 GPa and its relation to the system Na2CO3-FeCO3-MgCO3
  16. Chlorine-hydroxyl diffusion in pargasitic amphibole
  17. The use of cation-cation and anion-anion bonds to augment the bond-valence model
  18. AIM analysis and the form of the bond-valence equation
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