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Article

Equation of State for Natural Almandine, Spessartine, Pyrope Garnet: Implications for Quartz-In-Garnet Elastic Geobarometry

1
Lawrence Livermore National Laboratory, Physical and Life Sciences Directorate, Livermore, CA 94550, USA
2
Department of Geoscience, University of Nevada, Las Vegas, NV 89134, USA
3
Materials and Engineering Science Program, Guangdong Technion-Israel Institute of Technology, 241 Daxue Road, Jinping District, Shantou 515063, China
4
Department of Materials Science and Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel
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Center for Advanced Radiation Sources, University of Chicago, Chicago, IL 60637, USA
6
Department of Physics and Astronomy, University of Nevada Las Vegas, Las Vegas, NV 89134, USA
7
School of Earth & Sustainability, Northern Arizona University, Flagstaff, AZ 86011, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Julien Siebert
Minerals 2021, 11(5), 458; https://doi.org/10.3390/min11050458
Received: 16 March 2021 / Revised: 16 April 2021 / Accepted: 22 April 2021 / Published: 27 April 2021
(This article belongs to the Special Issue Structural Characterization of Earth Materials at Extreme Conditions)
The equation of state (EoS) of a natural almandine74spessartine13pyrope10grossular3 garnet of a typical composition found in metamorphic rocks in Earth’s crust was obtained using single crystal synchrotron X-ray diffraction under isothermal room temperature compression. A third-order Birch-Murnaghan EoS was fitted to P-V data and the results are compared with published EoS for iron, manganese, magnesium, and calcium garnet compositional end-members. This comparison reveals that ideal solid solution mixing can reproduce the EoS for this intermediate composition of garnet. Additionally, this new EoS was used to calculate geobarometry on a garnet sample from the same rock, which was collected from the Albion Mountains of southern Idaho. Quartz-in-garnet elastic geobarometry was used to calculate pressures of quartz inclusion entrapment using alternative methods of garnet mixing and both the hydrostatic and Grüneisen tensor approaches. QuiG barometry pressures overlap within uncertainty when calculated using EoS for pure end-member almandine, the weighted averages of end-member EoS, and the EoS presented in this study. Grüneisen tensors produce apparent higher pressures relative to the hydrostatic method, but with large uncertainties. View Full-Text
Keywords: garnet; equation of state; solid solution; host inclusion elastic geobarometry; QuiG garnet; equation of state; solid solution; host inclusion elastic geobarometry; QuiG
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MDPI and ACS Style

Mulligan, S.R.; Stavrou, E.; Chariton, S.; Tschauner, O.; Salamat, A.; Wells, M.L.; Smith, A.G.; Hoisch, T.D.; Prakapenka, V. Equation of State for Natural Almandine, Spessartine, Pyrope Garnet: Implications for Quartz-In-Garnet Elastic Geobarometry. Minerals 2021, 11, 458. https://doi.org/10.3390/min11050458

AMA Style

Mulligan SR, Stavrou E, Chariton S, Tschauner O, Salamat A, Wells ML, Smith AG, Hoisch TD, Prakapenka V. Equation of State for Natural Almandine, Spessartine, Pyrope Garnet: Implications for Quartz-In-Garnet Elastic Geobarometry. Minerals. 2021; 11(5):458. https://doi.org/10.3390/min11050458

Chicago/Turabian Style

Mulligan, Suzanne R., Elissaios Stavrou, Stella Chariton, Oliver Tschauner, Ashkan Salamat, Michael L. Wells, Alexander G. Smith, Thomas D. Hoisch, and Vitali Prakapenka. 2021. "Equation of State for Natural Almandine, Spessartine, Pyrope Garnet: Implications for Quartz-In-Garnet Elastic Geobarometry" Minerals 11, no. 5: 458. https://doi.org/10.3390/min11050458

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