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Investigation of melting point, Debye frequency and temperature of iron at high pressure

Author

Listed:
  • Nguyen Ba Duc

    (Tan Trao University)

  • Ho Khac Hieu

    (Institute of Research and Development, Duy Tan University
    Faculty of Natural Sciences, Duy Tan University)

  • Pham Thi Minh Hanh

    (Hanoi Pedagogical University No2)

  • Tran Thi Hai

    (Hong Duc University)

  • Nguyen Viet Tuyen

    (VNU University of Science)

  • Tran Thi Ha

    (Laboratory of Advanced Materials Chemistry, Advanced Institute of Materials Science, Ton Duc Thang University
    Faculty of Applied Sciences, Ton Duc Thang University)

Abstract

The Debye model has been developed to investigate the pressure effects on melting point, Debye frequency and Debye temperature of iron metal. The analytical expressions of these thermodynamic quantities have been derived as functions of crystal volume compressibility. The pressure dependence of them is studied based on the well-established equation-of-state which includes the contributions of the anharmonic and electronic thermal pressures. We performed numerical calculations for iron up to pressure 350 GPa and compared with experimental data when possible. Our results show that the Debye frequency and Debye temperature increase rapidly with compression, and beyond 150 GPa they behave like linear functions of pressure. From the pressure-dependent melting point of iron, we deduce the temperatures of the Earth’s inner-outer core boundary (ICB) and core-mantle boundary (CMB). The temperatures of the Earth’s ICB and CMB are predicted lower than 5540(±170) K and about 4060 K, respectively. Graphical abstract

Suggested Citation

  • Nguyen Ba Duc & Ho Khac Hieu & Pham Thi Minh Hanh & Tran Thi Hai & Nguyen Viet Tuyen & Tran Thi Ha, 2020. "Investigation of melting point, Debye frequency and temperature of iron at high pressure," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(6), pages 1-7, June.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:6:d:10.1140_epjb_e2020-10083-8
    DOI: 10.1140/epjb/e2020-10083-8
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    Keywords

    Solid State and Materials;

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