scholarly journals On the electronic structure and equation of state in high pressure studies of solids

2003 ◽  
Vol 26 (1) ◽  
pp. 175-181 ◽  
Author(s):  
B. K. Godwal ◽  
P. Modak ◽  
R. S. Rao
1999 ◽  
Vol 60 (17) ◽  
pp. 11846-11847 ◽  
Author(s):  
Chhanda Basu Chaudhuri ◽  
G. Pari ◽  
Abhijit Mookerjee ◽  
A. K. Bhattacharyya

Minerals ◽  
2020 ◽  
Vol 10 (2) ◽  
pp. 92 ◽  
Author(s):  
J. Michael Brown ◽  
Baptiste Journaux

Helmholtz energy of ice VII–X is determined in a pressure regime extending to 450 GPa at 300 K using local-basis-functions in the form of b-splines. The new representation for the equation of state is embedded in a physics-based inverse theory framework of parameter estimation. Selected pressures as a function of volume from 14 prior experimental studies and two theoretical studies constrain the behavior of Helmholtz energy. Separately measured bulk moduli, not used to construct the representation, are accurately replicated below about 20 GPa and above 60 GPa. In the intermediate range of pressure, the experimentally determined moduli are larger and have greater scatter than values predicted using the Helmholtz representation. Although systematic error in the determination of elastic moduli is possible and likely, the alternative hypothesis is a slow relaxation time associated with changes in proton mobility or the ice VII to X transition. A correlation is observed between anomalies in the pressure derivative of the predicted bulk modulus and previously suggested higher-order phase transitions. Improved determinations of elastic properties at high pressure would allow refinement of the current equation of state. More generally, the current method of data assimilation is broadly applicable to other materials in high-pressure studies and for investigations of planetary interiors.


Author(s):  
J. Michael Brown ◽  
Baptiste Journaux

Helmholtz energy of ice VII-X is determined in a pressure regime extending to 450 GPa at 300 K using local basis functions in the form of b splines. The new representation for the equation of state is embedded in a physics-based inverse theory framework of parameter estimation. Selected pressures as a function of volume from 14 prior experimental studies and two theoretical studies constrain the behavior of Helmholtz energy. Separately measured bulk moduli, not used to construct the representation, are accurately replicated below about 20 GPa and above 60 GPa. In the intermediate range of pressure, the experimentally determined moduli are larger and have greater scatter than values predicted using the Helmholtz representation. Although systematic experimental error in the experimental elastic moduli is possible and likely, the alternative hypothesis is a slow relaxation time associated with changes in proton mobility or the ice VII to X transition. A correlation is observed between anomalies in the pressure derivative of the predicted bulk modulus and previously suggested higher-order phase transitions. Improved determinations of elastic properties at high pressure would allow refinement of the current equation of state. More generally, the current method of data assimilation is broadly applicable to other materials in high-pressure studies.


1997 ◽  
Vol 12 (11) ◽  
pp. 3106-3108 ◽  
Author(s):  
J. W. Otto ◽  
J. K. Vassiliou ◽  
G. Frommeyer

Polycrystalline Ni50Al50 suitable for high pressure studies was prepared by grinding and subsequent annealing of an inert-gas atomized alloy. The equation of state was determined by energy-dispersive x-ray diffraction in a diamond anvil cell to 25 GPa. The bulk modulus Bo and the pressure derivative of the bulk modulus B′o were found to be Bo = 156 ± 3 GPa and B′o = 4.0 ± 0.5.


1986 ◽  
Vol 115 (6) ◽  
pp. 287-291 ◽  
Author(s):  
Juichiro Hama ◽  
Masaaki Watanabe

1997 ◽  
Vol 499 ◽  
Author(s):  
J. W. Otto ◽  
G. Frommeyer ◽  
J. K. Vassiliou

ABSTRACTDuctile materials are difficult to powderize for use in high pressure work. The potential of different techniques (gas-atomization, mechanical alloying, ball milling and subsequent annealing) for preparing suitable powders of some aluminides is investigated. Compression of Ti46Al54 and NiAl prepared by these methods yields equation of state parameters in good agreement with determinations by other methods.


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