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

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: V0 = 1706.8 ± 0.2 Å3, K0 = 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: V0 = 1706.9 ± 0.2 Å3, K0 = 164 ± 2 GPa, K'0 = 4.7 ± 0.2, (∂K/∂T)P = -0.018 ± 0.002 GPa K-1, and α0 = (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 (XGrs) in this garnet join is derived to be K0 (GPa) = (163.7 ± 0.7) + (0.14 ± 0.02) XGrs (R2 = 0.985). Present results are also compared to previously studies determined the thermoelastic properties of Grs-And garnets.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1343128
Resource Type:
Journal Article
Journal Name:
Physics and Chemistry of Minerals
Additional Journal Information:
Journal Volume: 44; Journal Issue: 2; Journal ID: ISSN 0342-1791
Publisher:
Springer
Country of Publication:
United States
Language:
ENGLISH
Subject:
36 MATERIALS SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Grossular–andradite solid solution; Equation of state; High pressure and high temperature; X-ray diffraction; Diamond anvil cell

Citation Formats

Fan, Dawei, Kuang, Yunqian, Xu, Jingui, Li, Bo, Zhou, Wenge, and Xie, Hongsen. Thermoelastic properties of grossular–andradite solid solution at high pressures and temperatures. United States: N. p., 2016. Web. doi:10.1007/s00269-016-0843-4.
Fan, Dawei, Kuang, Yunqian, Xu, Jingui, Li, Bo, Zhou, Wenge, & Xie, Hongsen. Thermoelastic properties of grossular–andradite solid solution at high pressures and temperatures. United States. doi:10.1007/s00269-016-0843-4.
Fan, Dawei, Kuang, Yunqian, Xu, Jingui, Li, Bo, Zhou, Wenge, and Xie, Hongsen. Wed . "Thermoelastic properties of grossular–andradite solid solution at high pressures and temperatures". United States. doi:10.1007/s00269-016-0843-4.
@article{osti_1343128,
title = {Thermoelastic properties of grossular–andradite solid solution at high pressures and temperatures},
author = {Fan, Dawei and Kuang, Yunqian and Xu, Jingui and Li, Bo and Zhou, Wenge and Xie, Hongsen},
abstractNote = {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: V0 = 1706.8 ± 0.2 Å3, K0 = 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: V0 = 1706.9 ± 0.2 Å3, K0 = 164 ± 2 GPa, K'0 = 4.7 ± 0.2, (∂K/∂T)P = -0.018 ± 0.002 GPa K-1, and α0 = (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 (XGrs) in this garnet join is derived to be K0 (GPa) = (163.7 ± 0.7) + (0.14 ± 0.02) XGrs (R2 = 0.985). Present results are also compared to previously studies determined the thermoelastic properties of Grs-And garnets.},
doi = {10.1007/s00269-016-0843-4},
journal = {Physics and Chemistry of Minerals},
issn = {0342-1791},
number = 2,
volume = 44,
place = {United States},
year = {2016},
month = {9}
}