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

Tian, Ronggang; Sun, Jiuxun; Yang, Wei; Xue, Xinying; Yu, Fei

doi:10.2478/s11534-008-0080-7

Journal

Open Physics

2008 | 6 | 3 | 704-710

Article title

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

Authors

Ronggang Tian , Jiuxun Sun , Wei Yang , Xinying Xue , Fei Yu

Content

Full texts:

http://www.degruyter.com/view/j/phys.2008.6.issue-3/s11534-008-0080-7/s11534-008-0080-7.pdf [remote]

Title variants

Languages of publication

EN

Abstracts

EN

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.

Keywords

EN

equations-of-state thermodynamic properties Zirconium analytic mean-field approach

Discipline

Publisher

De Gruyter Open

Journal

Open Physics

Year

2008

Volume

6

Issue

3

Pages

704-710

Physical description

Dates

published

1 - 9 - 2008

online

17 - 7 - 2008

Contributors

author

Ronggang Tian

Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu, 610054, People’s Republic of China

author

Jiuxun Sun

sjx@uestc.edu.cn

Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu, 610054, People’s Republic of China

author

Wei Yang

Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu, 610054, People’s Republic of China

author

Xinying Xue

Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu, 610054, People’s Republic of China

author

Fei Yu

Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu, 610054, People’s Republic of China

References

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Document Type

Publication order reference

Identifiers

DOI

10.2478/s11534-008-0080-7

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-008-0080-7