P-V-T equation of state of hydrous phase A up to 10.5 GPa

Cuiping Yang; Toru Inoue; Takumi Kikegawa

doi:10.2138/am-2020-7132

Published by De Gruyter December 31, 2020

P-V-T equation of state of hydrous phase A up to 10.5 GPa

Cuiping Yang , Toru Inoue and Takumi Kikegawa

From the journal American Mineralogist

https://doi.org/10.2138/am-2020-7132

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Abstract

Pressure-volume-temperature (P-V-T) data of synthetic Mg₇Si₂O₈(OH)₆ phase A were collected under P-T conditions up to ~10.5 GPa and 900 K by energy-dispersive X‑ray diffraction using a cubic type multi-anvil apparatus, MAX80, located at the Photon Factory–Advanced Ring (PF-AR) at the High Energy Accelerator Research Organization (KEK). P-V EoS using only room-temperature data yielded V₀ = 511.6(2) Å³, K_T0 = 106.8(18) GPa, and pressure derivative KT′= 3.88(38). These parameters were consistent with the subsequent equation of state (EoS) analysis. The compressibility of phase A was anisotropic, with its a-axis being ~26% more compressible than the c-axis, which is normal to the plane of the distorted close-packed layers. A fit of the present data to the high-temperature Birch-Murnaghan EoS yielded V₀ = 511.7(3) Å³, K₀ = 104.4(24) GPa, K′ = 4.39(48), (∂K_T/∂T)_P = –0.027(5) GPa K^–1, and thermal expansion α = a + bT with values of a = 2.88(27) × 10^–5 K^–1 and b = 3.54(68) × 10^–8 K^–2. The lattice dynamical approach by the Mie-Grüneisen-Debye EoS yielded θ₀ = 928(114) K, q = 2.9(10), and γ₀ = 1.19(8). The isobaric heat capacity C _P of phase A at 1 atm. was calculated based on the Mie-Grüneisen-Debye EoS fit of present P-V-T data. In addition, the density profiles of subducting slabs with different degrees of serpentinization were also calculated along the cold geotherm up to ~13 GPa. The serpentinization of subducting slab will significantly lower the density of slab at shallower depth; however, this effect becomes negligible when antigorite dehydrates to phase A. Because the phase A bearing subducting slab is supposed to be denser than the surrounding mantle, the water can transport into deeper parts of the upper mantle and the transition zone.

Keywords: Bulk modulus; phase A; dense hydrous magnesium silicate (DHMS); equation of state (EoS); heat capacity; high pressure and high temperature (HPHT); thermal expansion; Physics and Chemistry of Earth’s Deep Mantle and Core

† Special collection papers can be found online at https://www.minsocam.org/MSA/AmMin/special-collections.html .

Funding statement: This study was supported by JSPS KAKENHI Grant Numbers 20244086, 26247073, 15H05828, 18H03740, and 19KK0085 to T. Inoue.

Acknowledgments

This work was conducted as a part of a Ph.D. thesis of C. Yang at Ehime University. We acknowledge A. Yamada, N. Cai, H. Suenami, and S. Kakizawa for their great help with in situ experiments at KEK. The in-situ X‑ray measurements were conducted at PF-AR, KEK (proposal no. 2011G100 and 2013G140 by T. Inoue).

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Received: 2019-05-24

Accepted: 2020-07-02

Published Online: 2020-12-31

Published in Print: 2021-01-27

P-V-T equation of state of hydrous phase A up to 10.5 GPa

Abstract

Acknowledgments

References cited

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