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Melting curve of iron up to 3600 kbar by statistical moment method

  • Regular Article - Solid State and Materials
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Abstract

The inner core of the earth is solid, the outer liquid is composed mainly of iron, and the pressure at the inner core boundary (ICB) is 3300 kbar (330 GPa). The melting point of iron at ICB limits the thermal structure and solidification of the earth’s core. Current estimates of the melting temperature of iron in the earth’s inner core boundary conditions vary considerably. Here, we have used the Lindemann criterion for melting and the statistical moment method, obtained the melting curve of iron up to 3600 kbar, which is in good agreement with most recently published experimental and theoretical curves. We calculated the melting temperatures of iron at the mantle boundary (1350 kbar) and inner core boundary (3300 kbar) to be 4017 and 6191 K, respectively. In particular, the equation of the melting curve of iron that we calculated has a simple form, which is easy to calculate and verify. This equation can be used to predict the melting temperature of iron up to 3600 kbar with reliable accuracy but very simply. It can also be used to predict the pressure when the melting point of iron is known.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: In this paper, our theoretical calculation data has been presented in Table 1 and shown in Figure 1. Experimental results and other theoretical calculations have also been described in Figure 1.]

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Acknowledgements

The authors would like to acknowledge the reviewer for useful comments and suggestions.

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Authors and Affiliations

  1. Graduate University of Science and Technology, Vietnam Academy of Science and Technology, Hanoi, Vietnam

    Pham Duy Tan

  2. Research Department, Tank Armour Command, Tuliem, Hanoi, Vietnam

    Pham Duy Tan

  3. Le Qui Don Technical University, 236 Hoang Quoc Viet, Caugiay Hanoi, Vietnam

    Pham Dinh Tam

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  1. Pham Duy Tan
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  2. Pham Dinh Tam
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All the authors contributed equally to the paper.

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Correspondence to Pham Dinh Tam.

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Tan, P.D., Tam, P.D. Melting curve of iron up to 3600 kbar by statistical moment method. Eur. Phys. J. B 95, 7 (2022). https://doi.org/10.1140/epjb/s10051-021-00263-z

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  • DOI: https://doi.org/10.1140/epjb/s10051-021-00263-z

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