Thermal Pressure in the Thermal Equation of State for Solid and a Proposed Substitute
Thermal Pressure in the Thermal Equation of State for Solid and a Proposed Substitute
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固体热状态方程中的热压力和建议的替代品
DOI：
10.1007/s10765-022-03089-8
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发表时间：
2022
影响因子：
2.2
通讯作者：
Yang, Shizhong
中科院分区：
文献类型：
--
作者：
Yan, Jinyuan;Yang, Shizhong
固体热态方程（TEOS）是压力、温度和密度之间的数学模型，对于地球物理、地球化学和其他高压-温度（高P-T）研究至关重要。然而，在过去的几十年里，人们越来越关注校准物压力标度的准确性，并通过引入参考标准或建立新的热压力模型来努力改进它。现有的热状态方程P(V,T) =P(V,T0) +Pth(V,T)由等温压缩和等容加热组成，而热压力是等容加热过程中的压力变化。在本文中，我们证明，对于金刚石砧室中软压力介质中的固体，热压力既不能从单个加热过程中确定，也不能从其校准物的热压力中确定。为了避免热压力，我们建议用众所周知的热膨胀模型代替热压力，并将其与等温压缩模型集成以产生 Birch-Murnaghan 膨胀 TEOS 模型，称为 VPT TEOS。 Birch-Murnaghan 膨胀 VPT TEOS 模型预测的环境压力下 MgO 和 Au 的压力与零 (0) GPa 的实验压力非常吻合，而近似的 Anderson PVT TEOS 的压力预测表现出很大的偏差和错误的趋势。
The thermal equation of state (TEOS) for solids is a mathematic model among pressure, temperature and density, and is essential for geophysical, geochemical, and other high pressure–temperature (high P–T) researches. However, in the last few decades, there has been a growing concern about the accuracy of the pressure scales of the calibrants, and efforts have been made to improve it by either introducing a reference standard or building new thermal pressure models. The existing thermal equation of state,P(V,T) =P(V,T0) +Pth(V,T), consists of an isothermal compression and an isochoric heating, while the thermal pressure is the pressure change in the isochoric heating. In this paper, we demonstrate that, for solids in a soft pressure medium in a diamond anvil cell, the thermal pressure can neither be determined from a single heating process, nor from the thermal pressure of its calibrant. To avoid the thermal pressure, we propose to replace the thermal pressure with a well-known thermal expansion model, and integrate it with the isothermal compression model to yields a Birch–Murnaghan-expansion TEOS model, called VPT TEOS. The predicted pressure of MgO and Au at ambient pressure from Birch–Murnaghan-expansion VPT TEOS model matches the experimental pressure of zero (0) GPa very well, while the pressure prediction from the approximated Anderson PVT TEOS exhibit a big deviation and a wrong trend.
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影响因子：
2.2
作者：
Jinyuan Yan;Shizhong Yang
通讯作者：
Shizhong Yang
影响因子：
2.5
作者：
R. Angel;F. Miozzi;M. Alvaro
通讯作者：
M. Alvaro
影响因子：
3.2
作者：
R. E. Hanneman;H. Gatos
通讯作者：
R. E. Hanneman;H. Gatos
影响因子：
1.6
作者：
Kunz, Martin;Yan, Jinyuan;MacDowell, Alastair A.
通讯作者：
MacDowell, Alastair A.
影响因子：
1.6
作者：
Doran, A.;Schlicker, L.;Gurlo, A.
通讯作者：
Gurlo, A.