The melting curve of iron at the pressures of the earth's core from ab initio calculations

The melting curve of iron at the pressures of the earth's core from ab initio calculations


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ABSTRACT The solid inner core of the Earth and the liquid outer core consist mainly of iron1 so that knowledge of the high-pressure thermodynamic properties of iron is important for


understanding the Earth's deep interior. An accurate knowledge of the melting properties of iron is particularly important, as the temperature distribution in the core is relatively


uncertain2,3,4 and a reliable estimate of the melting temperature of iron at the pressure of the inner-core boundary would put a much-needed constraint on core temperatures. Here we used _ab


initio_ methods to compute the free energies of both solid and liquid iron, and we argue that the resulting theoretical melting curve competes in accuracy with those obtained from


high-pressure experiments. Our results give a melting temperature of iron of ∼6,700 ± 600 K at the pressure of the inner-core boundary, consistent with some of the experimental measurements.


Our entirely _ab initio_ methods should also be applicable to many other materials and problems. Access through your institution Buy or subscribe This is a preview of subscription content,


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OPTIONS: * Log in * Learn about institutional subscriptions * Read our FAQs * Contact customer support SIMILAR CONTENT BEING VIEWED BY OTHERS EARTH’S CORE COULD BE THE LARGEST TERRESTRIAL


CARBON RESERVOIR Article Open access 19 August 2021 HEAVY IRON ISOTOPE COMPOSITION OF IRON METEORITES EXPLAINED BY CORE CRYSTALLIZATION Article 03 August 2020 LIGHT ELEMENTS IN THE EARTH’S


CORE Article 24 August 2021 REFERENCES * Poirier,J. P. _ Introduction to the Physics of the Earth's Interior_ (Cambridge Univ. Press, 1991). Google Scholar  * Anderson,O. L. &


Duba,A. Experimental melting curve of iron revisited. _J. Geophys. Res._ 102, 22659– 22669 (1997). Article  ADS  Google Scholar  * Shen,G., Mao,H., Hemley,R. J., Duffy,T. S. & Rivers, M.


L. Melting and crystal structure of iron at high pressures and temperatures. _Geophys. Res. Lett._ 25, 373–376 (1998). Article  ADS  CAS  Google Scholar  * Belonoshko,A. B. & Ahuja,R.


Embedded-atom molecular dynamics study of iron melting. _Phys. Earth Planet. Inter._ 102, 171–184 (1997). Article  ADS  CAS  Google Scholar  * Gillan,M. J. The virtual matter laboratory.


_Contemp. Phys._ 38, 115–134 (1997). Article  ADS  CAS  Google Scholar  * Car,R. & Parrinello,M. Unified approach for molecular dynamics and density functional theory. _Phys. Rev. Lett._


55, 2471–2474 (1985). Article  ADS  CAS  Google Scholar  * Perdew,J. P., Chevary,J. A., Vosko,S. H., Jackson,K. A., Pederson,M. R., Singh,D. J. & Fiolhais,C. Atoms, molecules, solids


and surfaces: Applications of the generalized gradient approximation for exchange and correlation. _Phys. Rev. B_ 46, 6671–6687 (1992). Article  ADS  CAS  Google Scholar  * Stixrude,L.,


Cohen,R. E. & Singh,D. J. Iron at high pressure: Linearized-augmented-plane-wave computations in the generalized-gradient approximation. _Phys. Rev. B_ 50, 6442–6445 ( 1994). Article 


ADS  CAS  Google Scholar  * Vočadlo,L., Brodholt,J., Alf,D., Gillan,M. J. & Price,G. D. _Ab initio_ free energy calculations on the polymorphs of iron at core conditions.


_Phys. Earth Planet. Inter._ (in the press). * Sšderlind,P., Moriarty,J. A. & Wills, J. M. First-principles theory of iron up to earth-core pressures: Structural, vibrational and elastic


properties. _Phys. Rev. B_ 53, 14063–14072 ( 1996). Article  ADS  Google Scholar  * Vočadlo,L., de Wijs,G. A., Kresse,G., Gillan,M. & Price,G. D. First-principles calculations on


crystalline and liquid iron at Earth's core conditions. _Faraday Discuss._ 106 , 205–217 (1997). Article  ADS  Google Scholar  * Wasserman,E., Stixrude,L. & Cohen,R. E. Thermal


properties of iron at high pressures and temperatures. _Phys. Rev. B_ 53, 8296– 8309 (1996). Article  ADS  CAS  Google Scholar  * Stixrude,L., Wasserman,E. & Cohen, R. E. Composition and


temperature of the Earth's inner core. _J. Geophys. Res._ 102, 24729– 24739 (1997). Article  ADS  CAS  Google Scholar  * de Wijs,G. A. _ et al_. The viscosity of liquid iron at the


physical conditions of the Earth's core. _Nature_ 392, 805– 807 (1998). Article  ADS  CAS  Google Scholar  * Alf,D. & Gillan,M. J. First-principles simulations of liquid


Fe–S under Earth's core conditions. _Phys. Rev. B_ 58, 8248–8256 (1998). Article  ADS  Google Scholar  * Alf,D., Price,G. D. & Gillan, M. J. Oxygen in the Earth's


core: A first-principles study. _Phys. Earth Planet. Inter._ 110, 191– 210 (1999). Article  ADS  Google Scholar  * Blšchl,P. E. The projector augmented wave method. _Phys. Rev. B_ 50 ,


17953–17979 (1994). Article  ADS  Google Scholar  * Kresse,G. & Joubert,D. From ultrasoft pseudopotentials to the projector augmented-wave method. _Phys. Rev. B_ 59 , 1758–1775 (1999).


Article  ADS  CAS  Google Scholar  * Kresse,G. & FurthmŸller,J. Efficient iterative schemes for _ab-initio_ total-energy calculations using a plane-wave basis set. _Phys. Rev. B_ 54,


11169– 11186 (1996). Article  ADS  CAS  Google Scholar  * Sugino,O. & Car,R. _Ab-initio_ molecular-dynamics study of first-order phase transitions—melting of silicon. _Phys. Rev. Lett._


74, 1823–1826 (1995). Article  ADS  CAS  Google Scholar  * de Wijs,G. A., Kresse,G. & Gillan,M. J. First-order phase transitions by first-principles free-energy calculations: The melting


of Al. _Phys. Rev. B_ 57, 8223–8334 (1998). Article  ADS  CAS  Google Scholar  * Kresse,G., FurthmŸller,J. & Hafner, J. _Ab-initio_ force-constant approach to phonon dispersion


relations of diamond and graphite. _Europhys. Lett._ 32, 729–734 (1995). Article  ADS  CAS  Google Scholar  * Frenkel,D. & Smit,B. _Understanding Molecular Simulation_ Ch. 4 (Academic,


New York, 1996). MATH  Google Scholar  * Boehler,R. Temperature in the Earth's core from melting-point measurements of iron at high static pressures. _Nature_ 363, 534– 536 (1993).


Article  ADS  CAS  Google Scholar  * Williams,Q., Jeanloz,R., Bass,J. D., Svendesen,B. & Ahrens, T. J. The melting curve of iron to 250 gigapascals: A constraint on the temperature at


Earth's center. _Science_ 286, 181–182 (1987). Article  ADS  Google Scholar  * Yoo,C. S., Holmes,N. C., Ross,M., Webb,D. J. & Pike,C. Shock temperatures and melting of iron at Earth


core conditions. _ Phys. Rev. Lett._ 70, 3931–3934 (1993). Article  ADS  CAS  Google Scholar  * Brown,J. M. & McQueen,R. G. Phase transitions, GrŸneisen parameter, and elasticity for


shocked iron between 77 and 400 GPa. _J. Geophys. Res._ 91, 7485– 7494 (1986). Article  ADS  Google Scholar  * Poirier, J.-P. & Shankland,T. J. Dislocation melting of iron and the


temperature of the inner core boundary, revisited. _Geophys. J. Int._ 115, 147–151 ( 1993). Article  ADS  Google Scholar  * Andrault,D., Fiquet,G., Kunz, M., Visocekas, F. & HŠusermann,


D. The orthorhombic structure of iron: An in situ study at high-temperature and high-pressure. _Science_ 278, 831–834 (1997). Article  ADS  CAS  Google Scholar  Download references


ACKNOWLEDGEMENTS The calculations were run on the Cray T3E machines at Manchester CSAR Centre and the Edinburgh Parallel Computer Centre. We thank L. Vočadlo for discussions. AUTHOR


INFORMATION AUTHORS AND AFFILIATIONS * Research School of Geological and Geophysical Sciences, Birkbeck College and University College London, Gower Street, London, WC1E 6BT, UK D. Alfè 


& G. D. Price * Physics and Astronomy Department University College London, Gower Street, London , WC1E 6BT, UK M. J. Gillan Authors * D. Alfè View author publications You can also


search for this author inPubMed Google Scholar * M. J. Gillan View author publications You can also search for this author inPubMed Google Scholar * G. D. Price View author publications You


can also search for this author inPubMed Google Scholar CORRESPONDING AUTHOR Correspondence to D. Alfè. RIGHTS AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE


Alfè, D., Gillan, M. & Price, G. The melting curve of iron at the pressures of the Earth's core from _ ab initio_ calculations. _Nature_ 401, 462–464 (1999).


https://doi.org/10.1038/46758 Download citation * Received: 06 May 1999 * Accepted: 03 August 1999 * Issue Date: 30 September 1999 * DOI: https://doi.org/10.1038/46758 SHARE THIS ARTICLE


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