The law of corresponding states for metals

D. Beke, G. Erdélyi, F. J. Kedves

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Using the similarity of the effective potentials seen by ions in metals a reduced phonon equation of state is derived. It is shown that the melting point Tm(0) and the atomic volume Ω0 at T = 0 K and at p = 0 are suitable macroscopic parameters for scaling ε{lunate} and σ characterizing the interatomic potentials of metals having similar structures. The temperature and pressure dependence of thermodynamical quantities reduced with the above parameters are discussed and the results are compared with the experiment. It is shown that the pressure dependence of the reduced thermodynamic quantities can be described by the pressure dependence of the scaling parameters Tm(p) and Ω0(p). The general form of the reduced equation of state (containing the electronic contributions as well) obtained gives that the reduced pressure is a universal function of the following reduced variables: the volume, temperature, de Broglie wavelength, Gibbs free energy of electrons 3 5 zEfo ε{lunate} (Efo is the Fermi energy at T = 0 K) and depe of the valence z as well. It is shown that Efo ε{lunate} is a function of Ωo -1 2 and ( Efo /ε{lunate})Ω 1 2 is approximately constant within the same sub-group of the periodic table.

Original languageEnglish
Pages (from-to)163-170
Number of pages8
JournalJournal of Physics and Chemistry of Solids
Volume42
Issue number3
DOIs
Publication statusPublished - 1981

Fingerprint

pressure dependence
Metals
equations of state
Equations of state
metals
de Broglie wavelengths
scaling
Gibbs free energy
melting points
Fermi level
valence
Melting point
thermodynamics
temperature dependence
Thermodynamics
Ions
electronics
Wavelength
Temperature
Electrons

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

The law of corresponding states for metals. / Beke, D.; Erdélyi, G.; Kedves, F. J.

In: Journal of Physics and Chemistry of Solids, Vol. 42, No. 3, 1981, p. 163-170.

Research output: Contribution to journalArticle

Beke, D. ; Erdélyi, G. ; Kedves, F. J. / The law of corresponding states for metals. In: Journal of Physics and Chemistry of Solids. 1981 ; Vol. 42, No. 3. pp. 163-170.
@article{700ca59008de408d8b39f1b4e807ea35,
title = "The law of corresponding states for metals",
abstract = "Using the similarity of the effective potentials seen by ions in metals a reduced phonon equation of state is derived. It is shown that the melting point Tm(0) and the atomic volume Ω0 at T = 0 K and at p = 0 are suitable macroscopic parameters for scaling ε{lunate} and σ characterizing the interatomic potentials of metals having similar structures. The temperature and pressure dependence of thermodynamical quantities reduced with the above parameters are discussed and the results are compared with the experiment. It is shown that the pressure dependence of the reduced thermodynamic quantities can be described by the pressure dependence of the scaling parameters Tm(p) and Ω0(p). The general form of the reduced equation of state (containing the electronic contributions as well) obtained gives that the reduced pressure is a universal function of the following reduced variables: the volume, temperature, de Broglie wavelength, Gibbs free energy of electrons 3 5 zEfo ε{lunate} (Efo is the Fermi energy at T = 0 K) and depe of the valence z as well. It is shown that Efo ε{lunate} is a function of Ωo -1 2 and ( Efo /ε{lunate})Ω 1 2 is approximately constant within the same sub-group of the periodic table.",
author = "D. Beke and G. Erd{\'e}lyi and Kedves, {F. J.}",
year = "1981",
doi = "10.1016/0022-3697(81)90077-9",
language = "English",
volume = "42",
pages = "163--170",
journal = "Journal of Physics and Chemistry of Solids",
issn = "0022-3697",
publisher = "Elsevier Limited",
number = "3",

}

TY - JOUR

T1 - The law of corresponding states for metals

AU - Beke, D.

AU - Erdélyi, G.

AU - Kedves, F. J.

PY - 1981

Y1 - 1981

N2 - Using the similarity of the effective potentials seen by ions in metals a reduced phonon equation of state is derived. It is shown that the melting point Tm(0) and the atomic volume Ω0 at T = 0 K and at p = 0 are suitable macroscopic parameters for scaling ε{lunate} and σ characterizing the interatomic potentials of metals having similar structures. The temperature and pressure dependence of thermodynamical quantities reduced with the above parameters are discussed and the results are compared with the experiment. It is shown that the pressure dependence of the reduced thermodynamic quantities can be described by the pressure dependence of the scaling parameters Tm(p) and Ω0(p). The general form of the reduced equation of state (containing the electronic contributions as well) obtained gives that the reduced pressure is a universal function of the following reduced variables: the volume, temperature, de Broglie wavelength, Gibbs free energy of electrons 3 5 zEfo ε{lunate} (Efo is the Fermi energy at T = 0 K) and depe of the valence z as well. It is shown that Efo ε{lunate} is a function of Ωo -1 2 and ( Efo /ε{lunate})Ω 1 2 is approximately constant within the same sub-group of the periodic table.

AB - Using the similarity of the effective potentials seen by ions in metals a reduced phonon equation of state is derived. It is shown that the melting point Tm(0) and the atomic volume Ω0 at T = 0 K and at p = 0 are suitable macroscopic parameters for scaling ε{lunate} and σ characterizing the interatomic potentials of metals having similar structures. The temperature and pressure dependence of thermodynamical quantities reduced with the above parameters are discussed and the results are compared with the experiment. It is shown that the pressure dependence of the reduced thermodynamic quantities can be described by the pressure dependence of the scaling parameters Tm(p) and Ω0(p). The general form of the reduced equation of state (containing the electronic contributions as well) obtained gives that the reduced pressure is a universal function of the following reduced variables: the volume, temperature, de Broglie wavelength, Gibbs free energy of electrons 3 5 zEfo ε{lunate} (Efo is the Fermi energy at T = 0 K) and depe of the valence z as well. It is shown that Efo ε{lunate} is a function of Ωo -1 2 and ( Efo /ε{lunate})Ω 1 2 is approximately constant within the same sub-group of the periodic table.

UR - http://www.scopus.com/inward/record.url?scp=0019664223&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0019664223&partnerID=8YFLogxK

U2 - 10.1016/0022-3697(81)90077-9

DO - 10.1016/0022-3697(81)90077-9

M3 - Article

VL - 42

SP - 163

EP - 170

JO - Journal of Physics and Chemistry of Solids

JF - Journal of Physics and Chemistry of Solids

SN - 0022-3697

IS - 3

ER -