Equation of state of rare-gas crystals near their metallization

2001 ◽  
Vol 43 (7) ◽  
pp. 1345-1352 ◽  
Author(s):  
E. V. Zarochentsev ◽  
E. P. Troitskaya
Keyword(s):  
Equation Of State ◽  
Rare Gas

Semiempirical equation of state and the Grüneisen parameter for polymers and rare gas solids

Polymer ◽  
1991 ◽  
Vol 32 (17) ◽  
pp. 3170-3176 ◽  
Author(s):  
S Saeki ◽  
M Tsubokawa ◽  
J Yamanaka ◽  
T Yamaguchi
Keyword(s):  
Equation Of State ◽  
Rare Gas ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Semiempirical Equation

Self-consistent-average-phonon equation of state. II. Comparison with solid-rare-gas experiments

1982 ◽  
Vol 25 (2) ◽  
pp. 1297-1309 ◽  
Author(s):  
A. Paskin ◽  
A. -M. Llois de Kreiner ◽  
K. Shukla ◽  
D. O. Welch ◽  
G. J. Dienes
Keyword(s):  
Equation Of State ◽  
Rare Gas ◽  
Self Consistent

A New Isothermal Equation of State for Solids

2009 ◽  
Vol 64 (1-2) ◽  
pp. 54-58
Author(s):  
Quan Liu
Keyword(s):  
Equation Of State ◽  
Critical Analysis ◽  
Short Range ◽  
Rare Gas ◽  
Volume Data ◽  
Volume Dependence ◽  
Short Range Force ◽  
Good Accordance ◽  
Isothermal Equation ◽  
Range Force

A new isothermal equation of state (EOS) for solids is derived by starting from the theory of lattice potential and using an analytical function for the volume dependence of the short-range force constant. A critical analysis of the isothermal EOSs: Murnaghan EOS, Vinet EOS, and the new EOS derived here, is presented by investigating the pressure-volume data for rare gas solids, metals and minerals. It is found that the results obtained from the new EOS are in good accordance with the corresponding values obtained from the Vinet EOS and with experimental data for all the solids up to very large compressions. On the other hand, the Murnaghan EOS is less successful at high pressure in most cases.

scholarly journals The classical equation of state of gaseous helium, neon and argon

1938 ◽  
Vol 168 (933) ◽  
pp. 264-283 ◽  
Keyword(s):  
Equation Of State ◽  
Theoretical Calculations ◽  
Classical Equation ◽  
Closed Shell ◽  
Rare Gas ◽  
Repulsive Potential ◽  
Helium Atoms ◽  
Atomic Nuclei ◽  
Strong Repulsion ◽  
Helium Neon

The deviations from the equation of state for perfect gases which are observed in all known gases result from the interactions of their constituent atoms or molecules. The excess pressures observed at all but the lowest temperatures show that the dominating factor is the strong repulsion between atoms at close renge, due to the interpentration of complete electron shells. Little is known about these repulsions, and that is readily summarized. Between atoms with spherically symmetrical distributions it is likely that the repulsive potential is accurately represented by a function P(r)e -r/p , (1) Where r is separation of the atomic nuclei and P(r) a polynomial in r . Quantum theoretical calculations made by Slater (1928) for helium atoms (with a closed shell of two electrons) and by Bleick and Mayer (1934) for neon atoms (with a closed shell of eight electrons) show that an adequate expression may sometimes be obtained if the polynomial is replaced by a constant. Some confirmation of this (though over a very restricted range of r ) is given by Born and Mayer (1932) and Huggins (1937), whose work on ionic cubic crystals shows that their elastic properties are admirably correlated when the repulsive potential of two ions of rare gas type is represented by an exponential function be -r/p , with a range of about one atomic diameter.

Ab initio theory of the equation of state for compressed rare gas crystals

2018 ◽  
Vol 60 (1) ◽  
pp. 153-161 ◽  
Author(s):  
E. A. Pilipenko ◽  
E. P. Troitskaya ◽  
Ie. Ie. Gorbenko
Keyword(s):  
Equation Of State ◽  
Ab Initio ◽  
Rare Gas ◽  
Ab Initio Theory
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