Effect of chemical disequilibrium during metal-silicate partitioning on the thermal state of the early core
Read Online
PDF
Data, Code, and Outputs

Supplementary Files

Supplementary Material

Keywords

Accretion model
metal silicate partitioning
core formation
numerical modelling

How to Cite

Clesi, V., & Deguen, R. (2026). Effect of chemical disequilibrium during metal-silicate partitioning on the thermal state of the early core. Advances in Geochemistry and Cosmochemistry, 2(2), 1156. https://doi.org/10.33063/agc.v2i2.1156

Abstract

In this study, we improved a previously published numerical model linking the core composition to the core temperature during accretion by introducing the possibility of chemical disequilibrium during the segregation of the core in the magma ocean phase. Our study shows that at least 60 % of the accreting metal needs to be equilibrated in order to obtain a chemically coherent Earth, thus favoring a rapid core formation according to the Hf-W chronometer. The dilution factor of this equilibrated metallic mass needs to be 4 (for 100 % of metallic mass equilibrated) to 40 (for 60 % of the metallic mass equilibrated) in order to obtain concentrations of major and trace element close to the Bulk Silicate Earth composition. At the minimum degree of equilibrium in metal and silicate phases, the final temperature of the core is increased by a maximum ∼250 ± 40 K, with an average of (50 ± 5)–(100 ± 5) K compared to the fully equilibrated case which yields an isentropic core-mantle boundary temperature (TisCMB) of ∼3800 ± 250 K. The chemical disequilibrium could be then one factor favoring the hot core hypothesis, but has to be coupled with other phenomena (gravitational energy dissipation, radiogenic heat production) to produce a hot core.

https://doi.org/10.33063/agc.v2i2.1156
Read Online
PDF
Data, Code, and Outputs

References

Allegre, C. J., Poirier, J.-P., Humler, E., & Hofmann, A. W. (1995). The chemical composition of the Earth. Earth and Planetary Science Letters, 134(3–4), 515–526. https://doi.org/10.1016/0012-821X(95)00123-T

Al’Tshuler, L., Brusnikin, S., & Kuz’Menkov, E. (1987). Isotherms and Grüneisen functions for 25 metals. Journal of Applied Mechanics and Technical Physics, 28(1), 129–141. https://doi.org/10.1007/BF00918785

Andrault, D., Bolfan-Casanova, N., Bouhifd, M., Boujibar, A., Garbarino, G., Manthilake, G., Mezouar, M., Monteux, J., Parisiades, P., & Pesce, G. (2017). Toward a coherent model for the melting behavior of the deep Earth’s mantle. Physics of the Earth and Planetary Interiors, 265, 67–81. https://doi.org/10.1016/j.pepi.2017.02.009

Andrault, D., Bolfan-Casanova, N., Nigro, G. L., Bouhifd, M. A., Garbarino, G., & Mezouar, M. (2011). Solidus and liquidus profiles of chondritic mantle: Implication for melting of the Earth across its history. Earth and Planetary Science Letters, 304(1–2), 251–259. https://doi.org/10.1016/j.epsl.2011.02.006

Birch, F. (1965). Energetics of core formation. Journal of Geophysical Research, 70(24), 6217–6221. https://doi.org/10.1029/JZ070i024p06217

Bouhifd, M. A., Gautron, L., Bolfan-Casanova, N., Malavergne, V., Hammouda, T., Andrault, D., & Jephcoat, A. (2007). Potassium partitioning into molten iron alloys at high-pressure: Implications for Earth’s core. Physics of the Earth and Planetary Interiors, 160(1), 22–33. https://doi.org/10.1016/j.pepi.2006.08.005

Bouhifd, M. A., & Jephcoat, A. P. (2011). Convergence of Ni and Co metal–silicate partition coefficients in the deep magma-ocean and coupled silicon–oxygen solubility in iron melts at high pressures. Earth and Planetary Science Letters, 307(3–4), 341–348. https://doi.org/10.1016/j.epsl.2011.05.006

Boujibar, A., Andrault, D., Bouhifd, M. A., Bolfan-Casanova, N., Devidal, J.-L., & Trcera, N. (2014). Metal–silicate partitioning of sulphur, new experimental and thermodynamic constraints on planetary accretion. Earth and Planetary Science Letters, 391, 42–54. https://doi.org/10.1016/j.epsl.2014.01.021

Canup, R. M. (2004). Simulations of a late lunar-forming impact. Icarus, 168(2), 433–456. https://doi.org/10.1016/j.icarus.2003.09.028

Canup, R. M., Righter, K., Dauphas, N., Pahlevan, K., Ćuk, M., Lock, S. J., Stewart, S. T., Salmon, J., Rufu, R., Nakajima, M., & others. (2023). Origin of the Moon. Reviews in Mineralogy and Geochemistry, 89(1), 53–102. https://doi.org/10.2138/rmg.2023.89.02

Clesi, V. (2026). Code, data and high resolution figures for “Effect of chemical disequilibrium during metal-silicate partitioning on the thermal state of the early core.” [dataset] Version v2. Zenodo. https://doi.org/10.5281/zenodo.21771983

Clesi, V., Bouhifd, M., Bolfan-Casanova, N., Manthilake, G., Fabbrizio, A., & Andrault, D. (2016). Effect of H2O on metal–silicate partitioning of Ni, Co, V, Cr, Mn and Fe: Implications for the oxidation state of the Earth and Mars. Geochimica et Cosmochimica Acta, 192, 97–121. https://doi.org/10.1016/j.gca.2016.07.029

Clesi, V., & Deguen, R. (2023a). Code—linking the core heat content to accretion [software]. Zenodo. https://doi.org/10.5281/zenodo.7661374

Clesi, V., & Deguen, R. (2023b). Linking the Core Heat Content to Earth’s Accretion History. Geochemistry, Geophysics, Geosystems, 24(5), e2022GC010661. https://doi.org/10.1029/2022GC010661

Clesi, V., & Deguen, R. (2024a). Effect of discretization choices when modeling the thermo-chemical history of the accreting core. Chemical Geology, 657, 122104. https://doi.org/10.1016/j.chemgeo.2024.122104

Clesi, V., & Deguen, R. (2024b). Grüneisen parameter formalism in the study of the Earth’s core formation: a sensitivity study. Geophysical Journal International, 237(3), 1275–1284. https://doi.org/10.1093/gji/ggae117

Clesi, V., Monteux, J., Qaddah, B., Le Bars, M., Wacheul, J.-B., & Bouhifd, M. A. (2020). Dynamics of core-mantle separation: Influence of viscosity contrast and metal/silicate partition coefficients on the chemical equilibrium. Physics of the Earth and Planetary Interiors, 306, 106547. https://doi.org/10.1016/j.pepi.2020.106547

Davies, C., Pozzo, M., Gubbins, D., & Alfè, D. (2015). Constraints from material properties on the dynamics and evolution of Earth’s core. Nature Geoscience, 8(9), 678–685. https://doi.org/10.1038/ngeo2492

Deguen, R., Landeau, M., & Olson, P. (2014). Turbulent metal–silicate mixing, fragmentation, and equilibration in magma oceans. Earth and Planetary Science Letters, 391, 274–287. https://doi.org/10.1016/j.epsl.2014.02.007

Dobrosavljevic, V. V., Zhang, D., Sturhahn, W., Zhao, J., Toellner, T. S., Chariton, S., Prakapenka, V. B., Pardo, O. S., & Jackson, J. M. (2022). Melting and phase relations of Fe-Ni-Si determined by a multi-technique approach. Earth and Planetary Science Letters, 584, 117358. https://doi.org/10.1016/j.epsl.2021.117358

Dobson, D. P. (2002). Self-diffusion in liquid Fe at high pressure. Physics of the Earth and Planetary Interiors, 130(3–4), 271–284. https://doi.org/10.1016/S0031-9201(02)00011-0

Drake, M. J., & Righter, K. (2002). Determining the composition of the Earth. Nature, 416(6876), 39–44. https://doi.org/10.1038/416039a

Driscoll, P., & Davies, C. (2023). The “New Core Paradox”: Challenges and potential solutions. Journal of Geophysical Research: Solid Earth, 128(1), e2022JB025355. https://doi.org/10.1029/2022JB025355

Dziewonski, A. M., & Anderson, D. L. (1981). Preliminary reference Earth model. Physics of the Earth and Planetary Interiors, 25(4), 297–356. https://doi.org/10.1016/0031-9201(81)90046-7

Faure, P., Bouhifd, M. A., Boyet, M., Manthilake, G., Clesi, V., & Devidal, J.-L. (2020). Uranium and thorium partitioning in the bulk silicate Earth and the oxygen content of Earth’s core. Geochimica et Cosmochimica Acta, 275, 83–98. https://doi.org/10.1016/j.gca.2020.02.010

Fiquet, G., Auzende, A., Siebert, J., Corgne, A., Bureau, H., Ozawa, H., & Garbarino, G. (2010). Melting of peridotite to 140 gigapascals. Science, 329(5998), 1516–1518. https://doi.org/10.1126/science.1192448

Fischer, R. A., Campbell, A. J., & Ciesla, F. J. (2017). Sensitivities of Earth’s core and mantle compositions to accretion and differentiation processes. Earth and Planetary Science Letters, 458, 252–262. https://doi.org/10.1016/j.epsl.2016.10.025

Fischer, R. A., Nakajima, Y., Campbell, A. J., Frost, D. J., Harries, D., Langenhorst, F., Miyajima, N., Pollok, K., & Rubie, D. C. (2015). High pressure metal–silicate partitioning of Ni, Co, V, Cr, Si, and O. Geochimica et Cosmochimica Acta, 167, 177–194. https://doi.org/10.1016/j.gca.2015.06.026

Fischer, R. A., & Nimmo, F. (2018). Effects of core formation on the Hf–W isotopic composition of the Earth and dating of the Moon-forming impact. Earth and Planetary Science Letters, 499, 257–265. https://doi.org/10.1016/j.epsl.2018.07.030

Frost, D. J., Asahara, Y., Rubie, D. C., Miyajima, N., Dubrovinsky, L. S., Holzapfel, C., Ohtani, E., Miyahara, M., & Sakai, T. (2010). Partitioning of oxygen between the Earth’s mantle and core. Journal of Geophysical Research: Solid Earth, 115, B02202. https://doi.org/10.1029/2009JB006302

Geßmann, C. K., & Rubie, D. C. (1998). The effect of temperature on the partitioning of nickel, cobalt, manganese, chromium, and vanadium at 9 GPa and constraints on formation of the Earth’s core. Geochimica et Cosmochimica Acta, 62(5), 867–882. https://doi.org/10.1016/S0016-7037(98)00023-4

Grewal, D. S., Dasgupta, R., Sun, C., Tsuno, K., & Costin, G. (2019). Delivery of carbon, nitrogen, and sulfur to the silicate Earth by a giant impact. Science Advances, 5(1), eaau3669. https://doi.org/10.1126/sciadv.aau3669

Gu, J. T., Fischer, R. A., Brennan, M. C., Clement, M. S., Jacobson, S. A., Kaib, N. A., O’Brien, D. P., & Raymond, S. N. (2023). Comparisons of the core and mantle compositions of earth analogs from different terrestrial planet formation scenarios. Icarus, 394, 115425. https://doi.org/10.1016/j.icarus.2023.115425

Henningsen, E. L., Korenaga, J., & Marchi, S. (2025). Impact-driven redox stratification of Earth’s mantle. Journal of Geophysical Research: Solid Earth, 130(4), e2024JB030817. https://doi.org/10.1029/2024JB030817

Höink, T., Schmalzl, J., & Hansen, U. (2006). Dynamics of metal-silicate separation in a terrestrial magma ocean. Geochemistry, Geophysics, Geosystems, 7(9), Q09008. https://doi.org/10.1029/2006GC001268

Izidoro, A., Bitsch, B., & Dasgupta, R. (2021). The effect of a strong pressure bump in the Sun’s natal disk: terrestrial planet formation via planetesimal accretion rather than pebble accretion. The Astrophysical Journal, 915(1), 62. https://doi.org/10.3847/1538-4357/abfe0b

Jacobson, S. A., Rubie, D. C., Hernlund, J., Morbidelli, A., & Nakajima, M. (2017). Formation, stratification, and mixing of the cores of Earth and Venus. Earth and Planetary Science Letters, 474, 375–386. https://doi.org/10.1016/j.epsl.2017.06.023

Javoy, M., Kaminski, E., Guyot, F., Andrault, D., Sanloup, C., Moreira, M., Labrosse, S., Jambon, A., Agrinier, P., Davaille, A., & others. (2010). The chemical composition of the Earth: Enstatite chondrite models. Earth and Planetary Science Letters, 293(3–4), 259–268. https://doi.org/10.1016/j.epsl.2010.02.033

King, C., & Olson, P. (2011). Heat partitioning in metal-silicate plumes during Earth differentiation. Earth and Planetary Science Letters, 304(3–4), 577–586. https://doi.org/10.1016/j.epsl.2011.02.037

Korenaga, J. (2009). A method to estimate the composition of the bulk silicate Earth in the presence of a hidden geochemical reservoir. Geochimica et Cosmochimica Acta, 73(22), 6952–6964. https://doi.org/10.1016/j.epsl.2010.02.033

Landeau, M., Aubert, J., & Olson, P. (2017). The signature of inner-core nucleation on the geodynamo. Earth and Planetary Science Letters, 465, 193–204. https://doi.org/10.1016/j.epsl.2017.02.004

Landeau, M., Deguen, R., Phillips, D., Neufeld, J. A., Lherm, V., & Dalziel, S. B. (2021). Metal-silicate mixing by large Earth-forming impacts. Earth and Planetary Science Letters, 564, 116888. https://doi.org/10.1016/j.epsl.2021.116888

Landeau, M., Olson, P., Deguen, R., & Hirsh, B. H. (2016). Core merging and stratification following giant impact. Nature Geoscience, 9(10), 786–789. https://doi.org/10.1038/ngeo2808

Loroch, D., Hackler, S., Rohrbach, A., Berndt, J., & Klemme, S. (2024). Accretion and core formation of Earth-like planets: Insights from metal–silicate partitioning of siderophile and volatile elements. Geosciences, 14(11), 281. https://doi.org/10.3390/geosciences14110281

McDonough, W. F. (2003). Compositional model for the earth core. Treatise on Geochemistry, 547–568. https://doi.org/10.1016/B0-08-043751-6/02015-6

McDonough, W. F., & Sun, S.-S. (1995). The composition of the Earth. Chemical Geology, 120(3–4), 223–253. https://doi.org/10.1016/0009-2541(94)00140-4

Monaghan, B., & Quested, P. (2001). Thermal diffusivity of iron at high temperature in both the liquid and solid states. ISIJ International, 41(12), 1524–1528. https://doi.org/10.2355/isijinternational.41.1524

Monteux, J., Ricard, Y., Coltice, N., Dubuffet, F., & Ulvrova, M. (2009). A model of metal–silicate separation on growing planets. Earth and Planetary Science Letters, 287(3–4), 353–362. https://doi.org/10.1016/j.epsl.2009.08.020

Morard, G., Siebert, J., Andrault, D., Guignot, N., Garbarino, G., Guyot, F., & Antonangeli, D. (2013). The Earth’s core composition from high pressure density measurements of liquid iron alloys. Earth and Planetary Science Letters, 373, 169–178. https://doi.org/10.1016/j.epsl.2013.04.040

Morbidelli, A., Chambers, J., Lunine, J., Petit, J.-M., Robert, F., Valsecchi, G., & Cyr, K. (2000). Source regions and timescales for the delivery of water to the Earth. Meteoritics & Planetary Science, 35(6), 1309–1320. https://doi.org/10.1111/j.1945-5100.2000.tb01518.x

Nakajima, M., Golabek, G. J., Wünnemann, K., Rubie, D. C., Burger, C., Melosh, H. J., Jacobson, S. A., Manske, L., & Hull, S. D. (2021). Scaling laws for the geometry of an impact-induced magma ocean. Earth and Planetary Science Letters, 568, 116983. https://doi.org/10.1016/j.epsl.2021.116983

Nimmo, F., O’brien, D., & Kleine, T. (2010). Tungsten isotopic evolution during late-stage accretion: constraints on Earth–Moon equilibration. Earth and Planetary Science Letters, 292(3–4), 363–370. https://doi.org/10.1016/j.epsl.2010.02.003

Nomura, R., Hirose, K., Uesugi, K., Ohishi, Y., Tsuchiyama, A., Miyake, A., & Ueno, Y. (2014). Low core-mantle boundary temperature inferred from the solidus of pyrolite. Science, 343(6170), 522–525. https://doi.org/10.1126/science.1248186

Posner, E. S., Rubie, D. C., Frost, D. J., & Steinle-Neumann, G. (2017). Experimental determination of oxygen diffusion in liquid iron at high pressure. Earth and Planetary Science Letters, 464, 116–123. https://doi.org/10.1016/j.epsl.2017.02.020

Posner, E. S., Rubie, D. C., Frost, D. J., Vlček, V., & Steinle-Neumann, G. (2017). High P–T experiments and first principles calculations of the diffusion of Si and Cr in liquid iron. Geochimica et Cosmochimica Acta, 203, 323–342. https://doi.org/10.1016/j.gca.2017.01.024

Pu, C., Gao, X., Wu, Z., Du, Z., & Jing, Z. (2025). Metal-silicate partitioning of Si, O, and Mg at high pressures and high temperatures: Implications to the compositional evolution of core-forming metallic melts. Geochemistry, Geophysics, Geosystems, 26(2), e2024GC011940. https://doi.org/10.1029/2024GC011940

Raymond, S. N., O’Brien, D. P., Morbidelli, A., & Kaib, N. A. (2009). Building the terrestrial planets: Constrained accretion in the inner Solar System. Icarus, 203(2), 644–662. https://doi.org/10.1016/j.icarus.2009.05.016

Rubie, D. C., Frost, D. J., Mann, U., Asahara, Y., Nimmo, F., Tsuno, K., Kegler, P., Holzheid, A., & Palme, H. (2011). Heterogeneous accretion, composition and core–mantle differentiation of the Earth. Earth and Planetary Science Letters, 301(1–2), 31–42. https://doi.org/10.1016/j.epsl.2010.11.030

Rubie, D. C., Jacobson, S. A., Morbidelli, A., O’Brien, D. P., Young, E. D., de Vries, J., Nimmo, F., Palme, H., & Frost, D. J. (2015). Accretion and differentiation of the terrestrial planets with implications for the compositions of early-formed Solar System bodies and accretion of water. Icarus, 248, 89–108. https://doi.org/10.1016/j.icarus.2014.10.015

Rubie, D., Melosh, H., Reid, J., Liebske, C., & Righter, K. (2003). Mechanisms of metal–silicate equilibration in the terrestrial magma ocean. Earth and Planetary Science Letters, 205(3–4), 239–255. https://doi.org/10.1016/S0012-821X(02)01044-0

Rudge, J. F., Kleine, T., & Bourdon, B. (2010). Broad bounds on Earth’s accretion and core formation constrained by geochemical models. Nature Geoscience, 3(6), 439–443. https://doi.org/10.1038/ngeo872

Samuel, H. (2012). A re-evaluation of metal diapir breakup and equilibration in terrestrial magma oceans. Earth and Planetary Science Letters, 313–314, 105–114. https://doi.org/10.1016/j.epsl.2011.11.001

Samuel, H., Tackley, P., & Evonuk, M. (2010). Heat partitioning in terrestrial planets during core formation by negative diapirism. Earth and Planetary Science Letters, 290(1–2), 13–19. https://doi.org/10.1016/j.epsl.2009.11.050

Sanloup, C., Guyot, F., Gillet, P., Fiquet, G., Mezouar, M., & Martinez, I. (2000). Density measurements of liquid Fe-S alloys at high-pressure. Geophysical Research Letters, 27(6), 811–814. https://doi.org/10.1029/1999GL008431

Siebert, J., Badro, J., Antonangeli, D., & Ryerson, F. J. (2012). Metal–silicate partitioning of Ni and Co in a deep magma ocean. Earth and Planetary Science Letters, 321–322, 189–197. https://doi.org/10.1016/j.epsl.2012.01.013

Siebert, J., Badro, J., Antonangeli, D., & Ryerson, F. J. (2013). Terrestrial accretion under oxidizing conditions. Science, 339(6124), 1194–1197. https://doi.org/10.1126/science.1227923

Suer, T.-A., Siebert, J., Remusat, L., Day, J. M., Borensztajn, S., Doisneau, B., & Fiquet, G. (2021). Reconciling metal–silicate partitioning and late accretion in the Earth. Nature Communications, 12(1), 2913. https://doi.org/10.1038/s41467-021-23137-5

Ulvrová, M., Coltice, N., Ricard, Y., Labrosse, S., Dubuffet, F., Velı́mský, J., & Šrámek, O. (2011). Compositional and thermal equilibration of particles, drops, and diapirs in geophysical flows. Geochemistry, Geophysics, Geosystems, 12(10), Q10014. https://doi.org/10.1029/2011GC003757

Wacheul, J.-B., & Le Bars, M. (2018). Experiments on fragmentation and thermo-chemical exchanges during planetary core formation. Physics of the Earth and Planetary Interiors, 276, 134–144. https://doi.org/10.1016/j.pepi.2017.05.018

Wade, J., & Wood, B. J. (2005). Core formation and the oxidation state of the Earth. Earth and Planetary Science Letters, 236(1–2), 78–95. https://doi.org/10.1016/j.epsl.2005.05.017

Walsh, K. J., Morbidelli, A., Raymond, S. N., O’Brien, D. P., & Mandell, A. M. (2011). A low mass for Mars from Jupiter’s early gas-driven migration. Nature, 475(7355), 206–209. https://doi.org/10.1038/nature10201

Wasson, J. T., & Kallemeyn, G. W. (1988). Compositions of chondrites. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 325(1587), 535–544. https://doi.org/10.1098/rsta.1988.0066

Wilthan, B., Schützenhöfer, W., & Pottlacher, G. (2015). Thermal diffusivity and thermal conductivity of five different steel alloys in the solid and liquid phases. International Journal of Thermophysics, 36(8), 2259–2272. https://doi.org/10.1007/s10765-015-1850-2

Wood, B. J., Wade, J., & Kilburn, M. R. (2008). Core formation and the oxidation state of the Earth: Additional constraints from Nb, V and Cr partitioning. Geochimica et Cosmochimica Acta, 72(5), 1415–1426. https://doi.org/10.1016/j.gca.2007.11.036

Zhang, D., Jackson, J. M., Zhao, J., Sturhahn, W., Alp, E. E., Hu, M. Y., Toellner, T. S., Murphy, C. A., & Prakapenka, V. B. (2016). Temperature of Earth’s core constrained from melting of Fe and Fe0.9Ni0.1 at high pressures. Earth and Planetary Science Letters, 447, 72–83. https://doi.org/10.1016/j.epsl.2016.04.026

Zhou, Y., Liu, Y., Reinhardt, C., & Deng, H. (2022). The core-merging giant impact in Earth’s accretion history and its implications. Acta Geochimica, 41(4), 553–567. https://doi.org/10.1007/s11631-021-00503-0

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright (c) 2026 Vincent Clesi, Renaud Deguen