Thermodynamic properties of lead at high temperatures and high pressures—mean-field potential approach

Bhatt, N. K.; Jani, A. R.; Vyas, P. R.; Gohel, V. B.

doi:10.1016/j.physb.2004.11.074

Cited by 17 publications

(9 citation statements)

References 51 publications

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“…(2) is the potential energy of a molecule as it roams from the center to a distance . In terms of the AMFP approach [16][17][18][19][20][21][22], ( V ) can be expressed by the static energy E ( ) of a molecule,…”

Section: Analytic Equation Of Statementioning

confidence: 99%

“…Several years ago, Wang et al proposed the AMFP approach, and applied it to many materials. Bhatt et al [20,21] further applied the AMFP to lead and alkali metals, and concluded that in comparison with other theoretical models the AMFP is computationally simple, physically transparent and reliable for the study of thermodynamic properties in the high pressure and high temperature environment. Recently, Sun et al prove that the AMFP is an analytic approximation of the free volume theory (FVT) [22].…”

Section: Introductionmentioning

confidence: 99%

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An analytic equation of state based on analytic mean-field potential approach and application to three phases of metallic Zirconium

et al. 2008

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Abstract:The analytic mean-field approach (AMFP) was applied to study the thermodynamic properties of Zirconium (Zr). The analytic expressions for the Helmholtz free energy, internal energy and equation of state have been derived. The formalism for the case of the Morse potential is used in this work. The four potential parameters are determined by fitting the molar volume of the three phases of Zr. The calculated molar volume of α, β and ω Zr are in fairly good agreement with the available experimental data. The results presented in this paper verify that the AMFP is a useful approach to study the thermodynamic properties of Zr. Furthermore, we predict the variation of the relationship of free energy and internal energy versus the molar volume at various temperatures and the dependence of the bulk modulus, the thermal expansion coefficient and the heat capacity on temperature at zero pressure of α, β and ω Zr.

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Section: Analytic Equation Of Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An analytic equation of state based on analytic mean-field potential approach and application to three phases of metallic Zirconium

et al. 2008

View full text Add to dashboard Cite

show abstract

“…Several years ago, Wang et al [19][20][21][22] proposed the analytic mean field potential (AMFP) approach, and applied it to many materials. Bhatt et al [23,24] further applied the AMFP to lead and alkali metals, and concluded that in comparison with other theoretical models the AMFP is computationally simple, physically transparent and reliable to study the thermodynamic properties in the high pressures and high temperatures environment. Recently, Sun et al have proven that the AMFP is an analytic approximation of the free volume theory (FVT) [25].…”

Section: Introductionmentioning

confidence: 99%

Analytic Equation of State and Thermodynamic Properties for α-, β-, and γ-Si₃N₄Based on Analytic Mean Field Approach

et al. 2008

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The analytic mean field potential approach is applied to α-, β-, and γ-Si 3 N 4 . The analytic expressions for the Helmholtz free energy, internal energy, and equation of state were derived. The formalism for the case of the Morse potential is used in this work. Its six potential parameters are determined through fitting the compression experimental data of α-, β-, and γ-Si 3 N 4 . The calculated compression curves of α-, β-, and γ-Si 3 N 4 are in good agreement with the available experimental data. This suggests that the analytic mean field potential approach is a very useful approach to study the thermodynamic properties of Si 3 N 4 . Furthermore, we predict the variation of the free energy and internal energy with the molar volume at several higher temperatures and calculate the temperature dependence of the molar volume, bulk modulus, thermal expansion coefficient and isochoric heat capacity at zero pressure.

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“…* Email: yangweiuestc@yahoo.cn It is well known that Wang et al proposed the analytic mean field potential (AMFP) method [14][15][16][17], and they applied it to many materials. Bhatt et al [18,19] further applied the AMFP method to lead and alkali metals, and concluded that in comparison with other theoretical models the AMFP method is computationally simple, physically transparent and reliable in the study of the thermodynamic properties at high pressures and high temperatures. Recently, Sun et al [20] proved that the AMFP method is an analytic approximation of the free volume theory (FVT).…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of solid FCC C84 based on an analytic mean field approach

Yang

Sun

2008

Braz. J. Phys.

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The analytic mean field potential (AMFP) approach is applied to the poly-exponential model solid. The analytic expressions for the Helmholtz free energy, internal energy and equation of state (EOS) are derived. The formalism for the case of the double-exponential (DE) model is applied to fcc C 84 . One set of potential parameters are determined by fitting the experimental compression data of C 84 up to 9.24 GPa at ambient temperature (297 K). The equilibrium distance and well depth for C 60 , C 70 and C 84 molecules are plotted. The thermophysical properties including the isothermals, thermal expansion, isochoric heat capacity, Helmholtz free energy and internal energy are calculated and analyzed. The theoretical results agree well with the experimental data available of C 84 . Basing the results of our calculations, we may also predict the behaviors of C 84 at extreme conditions.

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Thermodynamic properties of lead at high temperatures and high pressures—mean-field potential approach

Cited by 17 publications

References 51 publications

An analytic equation of state based on analytic mean-field potential approach and application to three phases of metallic Zirconium

An analytic equation of state based on analytic mean-field potential approach and application to three phases of metallic Zirconium

Analytic Equation of State and Thermodynamic Properties for α-, β-, and γ-Si₃N₄Based on Analytic Mean Field Approach

Thermodynamic properties of solid FCC C84 based on an analytic mean field approach

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Thermodynamic properties of lead at high temperatures and high pressures—mean-field potential approach

Cited by 17 publications

References 51 publications

An analytic equation of state based on analytic mean-field potential approach and application to three phases of metallic Zirconium

An analytic equation of state based on analytic mean-field potential approach and application to three phases of metallic Zirconium

Analytic Equation of State and Thermodynamic Properties for α-, β-, and γ-Si3N4Based on Analytic Mean Field Approach

Thermodynamic properties of solid FCC C84 based on an analytic mean field approach

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Product

Resources

About

Analytic Equation of State and Thermodynamic Properties for α-, β-, and γ-Si₃N₄Based on Analytic Mean Field Approach