An experimental high-temperature thermal equation of state bypassing the Grüneisen parameter

1980 ◽  
Vol 22 (3-4) ◽  
pp. 165-172 ◽  
Author(s):  
Orson L. Anderson
2013 ◽  
Vol 114 (17) ◽  
pp. 173509 ◽  
Author(s):  
Jianzhong Zhang ◽  
Jinlong Zhu ◽  
Nenad Velisavljevic ◽  
Liping Wang ◽  
Yusheng Zhao

2007 ◽  
Vol 75 (22) ◽  
Author(s):  
Alexander F. Goncharov ◽  
Jonathan C. Crowhurst ◽  
John K. Dewhurst ◽  
Sangeeta Sharma ◽  
Chrystele Sanloup ◽  
...  

Author(s):  
K. Sunil ◽  
D. Ashwini ◽  
Vijay S. Sharma

We have used a method for determining volume dependence of the Grüneisen parameter in the Lindemann law to study the pressure dependence of melting temperatures in case of 10 metals viz. Cu, Mg, Pb, Al, In, Cd, Zn, Au, Ag and Mn. The reciprocal gamma relationship has been used to estimate the values of Grüneisen parameters at different volumes. The results for melting temperatures of metals at high pressures obtained in this study using the Lindemann law of melting are compared with the available experimental data and also with the values calculated from the instability model based on a thermal equation of state. The analytical model used in this study is much simpler than the accurate DFT calculations and molecular dynamics.


2018 ◽  
Vol 57 (21) ◽  
pp. 14005-14012 ◽  
Author(s):  
Javier Ruiz-Fuertes ◽  
Domingo Martínez-García ◽  
Tomás Marqueño ◽  
Daniel Errandonea ◽  
Simon G. MacLeod ◽  
...  

2010 ◽  
Vol 82 (13) ◽  
Author(s):  
Emiko Sugimura ◽  
Tetsuya Komabayashi ◽  
Kei Hirose ◽  
Nagayoshi Sata ◽  
Yasuo Ohishi ◽  
...  

2005 ◽  
Vol 66 (5) ◽  
pp. 706-710 ◽  
Author(s):  
G.A. Voronin ◽  
C. Pantea ◽  
T.W. Zerda ◽  
L. Wang ◽  
Y. Zhao

2007 ◽  
Vol 164 (3-4) ◽  
pp. 142-160 ◽  
Author(s):  
Konstantin D. Litasov ◽  
Eiji Ohtani ◽  
Sujoy Ghosh ◽  
Yu Nishihara ◽  
Akio Suzuki ◽  
...  

Minerals ◽  
2020 ◽  
Vol 10 (3) ◽  
pp. 212
Author(s):  
Richard L. Rowland ◽  
Barbara Lavina ◽  
Kathleen E. Vander Kaaden ◽  
Lisa R. Danielson ◽  
Pamela C. Burnley

Understanding basic material properties of rare earth element (REE) bearing minerals such as their phase stability and equations of state can assist in understanding how economically viable deposits might form. Bastnäsite is the most commonly mined REE bearing mineral. We synthesized the lanthanum-fluoride end member, bastnäsite-(La) (LaCO3F), and investigated its thermal behavior and decomposition products from 298 K to 1173 K under ambient pressure conditions through thermogravimetric analysis, differential scanning calorimetry, evolved gas analysis, and high temperature powder X-ray diffraction. We also investigated the compressibility of bastnäsite-(La) via single crystal X-ray diffraction in diamond anvil cells at an ambient temperature up to 11.3 GPa and from 4.9 GPa to 7.7 GPa up to 673 K. At ambient pressure, bastnäsite-(La) was stable up to 598 K in air, where it decomposed into CO2 and tetragonal γ-LaOF. Above 948 K, cubic α-LaOF is stable. High temperature X-ray diffraction data were used to fit the Fei thermal equation of state and the thermal expansion coefficient α298 for all three materials. Bastnäsite-(La) was fit from 298 K to 723 K with V0 = 439.82 Å3, α298 = 4.32 × 10−5 K−1, a0 = −1.68 × 10−5 K−1, a1 = 8.34 × 10−8 K−1, and a2 = 3.126 K−1. Tetragonal γ-LaOF was fit from 723 K to 948 K with V0 = 96.51 Å3, α298 = 2.95×10−4 K−1, a0 = −2.41×10−5 K−1, a1 = 2.42×10−7 K−1, and a2 = 41.147 K−1. Cubic α-LaOF was fit from 973 K to 1123 K with V0 = 190.71 Å3, α298 = −1.12×10−5 K−1, a0 = 2.36×10−4 K−1, a1 = −1.73 × 10−7 K−1, and a2 = −17.362 K−1. An ambient temperature third order Birch–Murnaghan equation of state was fit with V0 = 439.82 Å3, K0 = 105 GPa, and K’ = 5.58.


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