An isothermal equation of state of solid

P. Thomas, I. Varga, T. Lemm, J. E. Golub, K. Maschke, T. Meier, Stephan W Koch

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this paper, an isothermal three-parameter equation of state (EOS) of solid is proposed in the form V/V0 = f(P), with pressure P as the independent and relative volume V/V0 as the dependent variable. The proposed EOS uses three parameters expressible in terms of B0, B′0 and B″0, denoting bulk modulus and its first and second pressure derivatives at zero pressure. The new model is applied to the isotherms of ionic, metallic, quantum and rare-gas solid, with pressures ranging from zero to variable maximum pressures of up to 1 TPa. The fits are uniformly excellent. Root-mean-square deviations between data and fits are computed and compared with the three-parameter empirical EOS proposed by Kumari and Dass [J. Phys.: Condens. Matter 2, 3219 (1990)]. It is shown that our new form yields a decisively superior fit. Furthermore, it is shown that our proposed equation of state has an advantage for some close-packed materials because it allows B′ = (δBs/δP)s (P → ∞) to be fitted, and this is where the usual standard equations fail badly.

Original languageEnglish (US)
Pages (from-to)125-132
Number of pages8
JournalPhysica Status Solidi (B) Basic Research
Volume226
Issue number1
DOIs
StatePublished - 2001
Externally publishedYes

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Equations of state of solids
equations of state
Equations of state
Noble Gases
dependent variables
Inert gases
bulk modulus
Isotherms
rare gases
isotherms
Elastic moduli
Derivatives
deviation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Thomas, P., Varga, I., Lemm, T., Golub, J. E., Maschke, K., Meier, T., & Koch, S. W. (2001). An isothermal equation of state of solid. Physica Status Solidi (B) Basic Research, 226(1), 125-132. https://doi.org/10.1002/(SICI)1521-3951(200003)218

An isothermal equation of state of solid. / Thomas, P.; Varga, I.; Lemm, T.; Golub, J. E.; Maschke, K.; Meier, T.; Koch, Stephan W.

In: Physica Status Solidi (B) Basic Research, Vol. 226, No. 1, 2001, p. 125-132.

Research output: Contribution to journalArticle

Thomas, P, Varga, I, Lemm, T, Golub, JE, Maschke, K, Meier, T & Koch, SW 2001, 'An isothermal equation of state of solid', Physica Status Solidi (B) Basic Research, vol. 226, no. 1, pp. 125-132. https://doi.org/10.1002/(SICI)1521-3951(200003)218
Thomas P, Varga I, Lemm T, Golub JE, Maschke K, Meier T et al. An isothermal equation of state of solid. Physica Status Solidi (B) Basic Research. 2001;226(1):125-132. https://doi.org/10.1002/(SICI)1521-3951(200003)218
Thomas, P. ; Varga, I. ; Lemm, T. ; Golub, J. E. ; Maschke, K. ; Meier, T. ; Koch, Stephan W. / An isothermal equation of state of solid. In: Physica Status Solidi (B) Basic Research. 2001 ; Vol. 226, No. 1. pp. 125-132.
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