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Thermoelastic properties of grossular–andradite solid solution at high pressures and temperatures

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Abstract

The pressure–volume–temperature (P–V–T) equation of state (EoS) of synthetic grossular (Grs)–andradite (And) solid-solution garnet sample have been measured at high temperature up to 900 K and high pressures up to 22.75 GPa for Grs50And50, by using in situ angle-dispersive X-ray diffraction and diamond anvil cell. Analysis of room-temperature P–V data to a third-order Birch–Murnaghan (BM) EoS yields: V 0 = 1706.8 ± 0.2 Å3, K 0 = 164 ± 2 GPa and K′ 0 = 4.7 ± 0.5. Fitting of our P–V–T data by means of the high-temperature third-order BM EoS gives the thermoelastic parameters: V 0 = 1706.9 ± 0.2 Å3, K 0 = 164 ± 2 GPa, K′ 0 = 4.7 ± 0.2, (∂K/∂T) P  = −0.018 ± 0.002 GPa K−1, and α 0 = (2.94 ± 0.07) × 10−5 K−1. The results also confirm that grossular content increases the bulk modulus of the Grs-And join following a nearly ideal mixing model. The relation between bulk modulus and Grs mole fraction (X Grs) in this garnet join is derived to be K 0 (GPa) = (163.7 ± 0.7) + (0.14 ± 0.02) X Grs (R 2 = 0.985). Present results are also compared to previously studies determined the thermoelastic properties of Grs-And garnets.

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Acknowledgments

This work is supported by the Strategic Priority Research Program (B) of the Chinese Academy of Sciences (XDB18010401), the Joint Research Fund in Huge Scientific Equipment (U1632112) under cooperative agreement between the National Natural Science Foundation of China (NSFC), and Chinese Academy of Sciences (CAS), the National Natural Science Foundation of China (Grant No. 41374107). The high-pressure X-ray diffraction experiments were performed at the High-Pressure Experiment Station (4W2), Beijing Synchrotron Radiation Facility (BSRF). Use of the COMPRES-GSECARS gas loading system was supported by COMPRES under NSF Cooperative Agreement EAR 11-57758 and by GSECARS through NSF grant EAR-1128799 and DOE grant DE-FG02-94ER14466. This research used resources of the Advanced Photon Source, a US Department of Energy (DOE) Office of Science User Facility operated for the DOE Office of Science by Argonne National Laboratory under Contract No. DE-AC02-06CH11357.

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Authors and Affiliations

  1. Key Laboratory for High Temperature and High Pressure Study of the Earth’s Interior, Institute of Geochemistry, Chinese Academy of Sciences, Guiyang, 550081, China

    Dawei Fan, Yunqian Kuang, Jingui Xu, Bo Li, Wenge Zhou & Hongsen Xie

  2. University of Chinese Academy of Sciences, Beijing, 100049, China

    Yunqian Kuang, Jingui Xu & Bo Li

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  1. Dawei Fan
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Correspondence to Dawei Fan.

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Fan, D., Kuang, Y., Xu, J. et al. Thermoelastic properties of grossular–andradite solid solution at high pressures and temperatures. Phys Chem Minerals 44, 137–147 (2017). https://doi.org/10.1007/s00269-016-0843-4

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