D. Andrault, Melting of subducted basalt at the core-mantle boundary, Science, vol.344, issue.6186, pp.892-897, 2014.
DOI : 10.1126/science.1250466

URL : https://hal.archives-ouvertes.fr/hal-01134845

D. Andrault, Solid???liquid iron partitioning in Earth???s deep mantle, Nature, vol.80, issue.7407, pp.354-357, 2012.
DOI : 10.1038/nature11294

D. Andrault, Solidus and liquidus profiles of chondritic mantle: Implication for melting of the Earth across its history, Earth and Planetary Science Letters, vol.304, issue.1-2, pp.251-259, 2011.
DOI : 10.1016/j.epsl.2011.02.006

URL : https://hal.archives-ouvertes.fr/hal-00682469

R. F. Bader, A quantum theory of molecular structure and its applications, Chemical Reviews, vol.91, issue.5, pp.893-928, 1991.
DOI : 10.1021/cr00005a013

J. Badro, Electronic Transitions in Perovskite: Possible Nonconvecting Layers in the Lower Mantle, Science, vol.305, issue.5682, pp.305383-386, 2004.
DOI : 10.1126/science.1098840

URL : https://hal.archives-ouvertes.fr/hal-00087150

J. Badro, Iron Partitioning in Earth's Mantle: Toward a Deep Lower Mantle Discontinuity, Science, vol.300, issue.5620, pp.300789-79112677070, 2003.
DOI : 10.1126/science.1081311

J. Badro, Iron Partitioning in Earth's Mantle: Toward a Deep Lower Mantle Discontinuity, Science, vol.300, issue.5620, pp.300789-79112677070, 2003.
DOI : 10.1126/science.1081311

J. Badro, Spin Transitions in Mantle Minerals, Annual Review of Earth and Planetary Sciences, vol.42, issue.1, pp.231-248, 2014.
DOI : 10.1146/annurev-earth-042711-105304

S. Bajgain, D. B. Ghosh, and B. B. Karki, Structure and density of basaltic melts at mantle conditions from first-principles simulations, Nature Communications, vol.91, p.8578, 2015.
DOI : 10.1038/ncomms9578

A. Bengtson, K. Persson, and D. Morgan, Ab initio study of the composition dependence of the pressure-induced spin crossover in perovskite ( Mg 1 ? x , Fe x ) SiO 3. Earth and Planetary Science Letters, pp.535-545, 2008.

V. C. Bennett, A. D. Brandon, and A. P. Nutman, Coupled 142Nd-143Nd Isotopic Evidence for Hadean Mantle Dynamics, Science, vol.318, issue.5858, pp.3181907-1910, 2006.
DOI : 10.1126/science.1145928

H. J. Berendsen, Molecular dynamics with coupling to an external bath, The Journal of Chemical Physics, vol.81, issue.8, pp.3684-3690, 1984.
DOI : 10.1063/1.448118

P. E. Blochl, Projector augmented-wave method, Physical Review B, vol.50, issue.24, p.50, 1994.
DOI : 10.1103/PhysRevB.50.17953

J. Bouchet, equation of state of iron up to 1500 GPa, Physical Review B, vol.87, issue.9, p.94102, 2013.
DOI : 10.1103/PhysRevB.87.094102

URL : https://hal.archives-ouvertes.fr/hal-01053928

J. C. Crowhurst, Elasticity of (Mg,Fe)O through the spin transition of iron in the lower mantle. -supplemetary, Science, issue.5862, pp.319451-318218893, 2008.

M. Cuk and S. T. Stewart, Making the Moon from a Fast-Spinning Earth: A Giant Impact Followed by Resonant Despinning, Science, vol.338, issue.6110, pp.1047-1052, 2012.
DOI : 10.1126/science.1225542

J. W. Delano, Abundances of Cobalt, Nickel, and Volatiles in the Silicate Portion of the Moon, 1986.

I. Farnan, Quantification of the disorder in network-modified silicate glasses, Nature, vol.358, issue.6381, pp.31-35, 1992.
DOI : 10.1038/358031a0

G. Ferlat, Hidden polymorphs drive vitrification in B2O3, Nature Materials, vol.77, issue.11, pp.925-929, 2012.
DOI : 10.1038/nmat3416

G. Fiquet, Melting of Peridotite to 140 Gigapascals, Science, vol.329, issue.5998, pp.1516-1518, 2010.
DOI : 10.1126/science.1192448

URL : https://hal.archives-ouvertes.fr/hal-00613178

R. Fischer, High pressure metal???silicate partitioning of Ni, Co, V, Cr, Si, and O, Geochimica et Cosmochimica Acta, vol.167, pp.177-194, 2015.
DOI : 10.1016/j.gca.2015.06.026

W. Fyfe, The possibility of d-electron coupling in olivine at high pressures, Geochimica et Cosmochimica Acta, vol.19, issue.2, pp.141-143, 1960.
DOI : 10.1016/0016-7037(60)90046-6

E. J. Garnero and D. V. Helmberger, A very slow basal layer underlying large-scale lowvelocity anomalies in the lower mantle beneath the Pacific: evidence from core phases, Physics of the Earth and Planetary Interiors, vol.91, pp.1-3161, 1995.

A. F. Goncharov, Effect of composition, structure, and spin state on the thermal conductivity of the Earth's lower mantle, Physics of the Earth and Planetary Interiors, vol.180, issue.3-4, pp.148-153, 2010.
DOI : 10.1016/j.pepi.2010.02.002

C. H. Goodman, Strained mixed-cluster model for glass structure, Nature, vol.43, issue.5525, p.620, 1975.
DOI : 10.1038/257370a0

T. L. Grove and M. J. Krawczynski, Lunar Mare Volcanism: Where Did the Magmas Come From?, Elements, vol.5, issue.1, pp.29-34, 2009.
DOI : 10.2113/gselements.5.1.29

C. Gu, Electronic structure of iron in magnesium silicate glasses at high pressure, Geophysical Research Letters, vol.239, issue.24, pp.1-5, 2012.
DOI : 10.1029/2005GL022802

A. Halliday, Early evolution of the Earth and Moon: new constraints from Hf-W isotope geochemistry, Earth and Planetary Science Letters, vol.142, issue.1-2, pp.75-89, 1996.
DOI : 10.1016/0012-821X(96)00096-9

G. S. Henderson, G. Calas, and J. F. Stebbins, The Structure of Silicate Glasses and Melts, Elements, vol.2, issue.5, pp.269-273, 2006.
DOI : 10.2113/gselements.2.5.269

URL : https://hal.archives-ouvertes.fr/hal-00114639

G. Henkelman, A. Arnaldsson, and H. Jónsson, A fast and robust algorithm for Bader decomposition of charge density, Computational Materials Science, vol.36, issue.3, pp.354-360, 2006.
DOI : 10.1016/j.commatsci.2005.04.010

J. W. Hernlund, C. Thomas, and P. J. Tackley, A doubling of the post-perovskite phase boundary and structure of the Earth's lowermost mantle, Nature, vol.122, issue.7035, p.434, 2005.
DOI : 10.1016/0031-9201(81)90046-7

D. Herwartz, Identification of the giant impactor Theia in lunar rocks, Science, vol.344, issue.6188, p.344, 2014.
DOI : 10.1126/science.1251117

S. Hier-majumder, Influence of contiguity on seismic velocities of partially molten aggregates, B12), p.B12205. Available at, 2008.
DOI : 10.1029/2008JB005662

K. Hirose, Trace element partitioning in Earth???s lower mantle and implications for geochemical consequences of partial melting at the core???mantle boundary, Physics of the Earth and Planetary Interiors, vol.146, issue.1-2, pp.249-260, 2004.
DOI : 10.1016/j.pepi.2002.11.001

A. M. Hofmeister, Mantle Values of Thermal Conductivity and the Geotherm from Phonon Lifetimes, Science, vol.283, issue.5408, pp.1699-1706, 1999.
DOI : 10.1126/science.283.5408.1699

C. J. Hostetler and M. J. Drake, On the early global melting of the terrestrial planets, Proc. Lunar Planet. Sci. Conf. 11th, pp.1915-1929, 1980.

S. Ida, R. Canup, and G. Stewart, Lunar accretion from an impact-generated disk Available at, Nature, vol.389, issue.6649, pp.353-357, 1997.
DOI : 10.1038/38669

J. H. Jones and J. W. Delano, A three-component model for the bulk composition of the moon, Geochimica et Cosmochimica Acta, vol.53, issue.2, pp.53513-527, 1989.
DOI : 10.1016/0016-7037(89)90402-X

B. Journaux, Elasticity and dislocations in ice X under pressure. Physics of the Earth and Planetary Interiors Available at: http://www.sciencedirect.com/science, pp.10-15, 2014.

B. Karki, D. Bhattarai, and L. Stixrude, First-principles calculations of the structural, dynamical, and electronic properties of liquid MgO, Physical Review B, vol.73, issue.17, pp.1-7, 2006.
DOI : 10.1103/PhysRevB.73.174208

B. Karki, B. Bohara, and L. Stixrude, First-principles study of diffusion and viscosity of anorthite (CaAl2Si2O8) liquid at high pressure, American Mineralogist, vol.96, issue.5-6, pp.744-751, 2011.
DOI : 10.2138/am.2011.3646

B. B. Karki, First-principles computation of mantle materials in crystalline and amorphous phases, Physics of the Earth and Planetary Interiors, vol.240, pp.43-69, 2015.
DOI : 10.1016/j.pepi.2014.11.004

B. B. Karki, First-Principles Molecular Dynamics Simulations of Silicate Melts: Structural and Dynamical Properties. Reviews in Mineralogy and Geochemistry Available at, pp.355-389, 2010.

B. B. Karki and L. Stixrude, First-Principles Study of Enhancement of Transport Properties of Silica Melt by Water, Physical Review Letters, vol.104, issue.21, pp.1-4, 2010.
DOI : 10.1103/PhysRevLett.104.215901

B. B. Karki, J. Zhang, and L. Stixrude, melt system at high temperature, Geophysical Research Letters, vol.92, issue.1, pp.94-992012, 2013.
DOI : 10.1029/2012GL054372

B. B. Karki, J. Zhang, and L. Stixrude, melt system at high temperature, Geophysical Research Letters, vol.92, issue.1, pp.94-99, 2013.
DOI : 10.1029/2012GL054372

P. Kegler, New Ni and Co metal-silicate partitioning data and their relevance for an early terrestrial magma ocean, Earth and Planetary Science Letters, vol.268, issue.1-2, pp.28-40, 2008.
DOI : 10.1016/j.epsl.2007.12.020

K. Kimura, R. S. Lewis, and E. Anders, Distribution of gold and rhenium between nickeliron and silicate melts -Implications for the abundance of siderophile elements on the earth and moon, p.38, 1974.

W. Kohn and L. J. Sham, Self-Consistent Equations Including Exchange and Correlation Effects, Physical Review, vol.140, issue.4A, p.385, 1951.
DOI : 10.1103/PhysRev.140.A1133

D. Koker and N. , Structure, thermodynamics, and diffusion in CaAl2Si2O8 liquid from first-principles molecular dynamics, Geochimica et Cosmochimica Acta, vol.74, issue.19, pp.5657-5671, 2010.
DOI : 10.1016/j.gca.2010.02.024

N. De-koker, B. B. Karki, and L. Stixrude, Thermodynamics of the MgO-SiO2 liquid system in Earth's lowermost mantle from first principles. Earth and Planetary Science Letters, pp.58-63, 2013.

N. P. De-koker, L. Stixrude, and B. B. Karki, Thermodynamics, structure, dynamics, and freezing of Mg2SiO4 liquid at high pressure, Geochimica et Cosmochimica Acta, vol.72, issue.5, pp.1427-1441, 2008.
DOI : 10.1016/j.gca.2007.12.019

S. König, The Earth???s tungsten budget during mantle melting and crust formation, Geochimica et Cosmochimica Acta, vol.75, issue.8, pp.2119-2136, 2011.
DOI : 10.1016/j.gca.2011.01.031

G. Kresse, Ab initio molecular dynamics for liquid metals, Journal of Non-Crystalline Solids, vol.192, issue.193, pp.192-193222, 1995.
DOI : 10.1016/0022-3093(95)00355-X

G. Kresse, total-energy calculations using a plane-wave basis set, Physical Review B, vol.54, issue.16, pp.11169-11186, 1996.
DOI : 10.1103/PhysRevB.54.11169

G. Kresse, From ultrasoft pseudopotentials to the projector augmented-wave method, Physical Review B, vol.59, issue.3, pp.1758-1775, 1999.
DOI : 10.1103/PhysRevB.59.1758

G. Kresse and J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Computational Materials Science, vol.6, issue.1, p.15, 1996.
DOI : 10.1016/0927-0256(96)00008-0

G. Kresse and J. Hafner, molecular-dynamics simulation of the liquid-metal???amorphous-semiconductor transition in germanium, Physical Review B, vol.49, issue.20, pp.14251-14269, 1994.
DOI : 10.1103/PhysRevB.49.14251

R. G. Kuryaeva, The state of magnesium in silicate glasses and melts, Glass Physics and Chemistry, vol.35, issue.4, pp.378-383, 2009.
DOI : 10.1134/S1087659609040051

S. Labrosse, J. W. Hernlund, and N. Coltice, A crystallizing dense magma ocean at the base of the Earth???s mantle, Nature, vol.446, issue.7171, pp.450866-869, 2007.
DOI : 10.1038/nature06355

B. G. Levine, J. E. Stone, and A. Kohlmeyer, Fast analysis of molecular dynamics trajectories with graphics processing units???Radial distribution function histogramming, Journal of Computational Physics, vol.230, issue.9, pp.3556-3569, 2011.
DOI : 10.1016/j.jcp.2011.01.048

J. Li and C. B. Agee, Geochemistry of mantle???core differentiation at high pressure, Nature, vol.381, issue.6584, pp.381686-689, 1996.
DOI : 10.1038/381686a0

Y. Luo, Comprehensive Handbook of Chemical Bond Energies, 2007.
DOI : 10.1201/9781420007282

W. L. Mao, Iron-Rich Post-Perovskite and the Origin of Ultralow-Velocity Zones, Science, vol.312, issue.5773, pp.2-4, 2006.
DOI : 10.1126/science.1123442

F. C. Marton, J. Ita, and R. E. Cohen, Pressure-volume-temperature equation of state of MgSiO3 perovskite from molecular dynamics and constraints on lower mantle composition Available at: http://arxiv, p.26, 2000.

A. E. Mattsson, In Pursuit of the " Divine " Functional, Science, pp.298759-760, 2002.

C. Mccammon, Stable intermediate-spin ferrous iron in lower-mantle perovskite, Nature Geoscience, vol.66, issue.10, pp.684-687, 2008.
DOI : 10.1007/BF02150199

URL : https://hal.archives-ouvertes.fr/hal-00334646

A. K. Mcnamara, E. J. Garnero, and S. Rost, Tracking deep mantle reservoirs with ultra-low velocity zones, Earth and Planetary Science Letters, vol.299, issue.1-2, pp.1-9, 2010.
DOI : 10.1016/j.epsl.2010.07.042

K. C. Mills, The Influence of Structure on the Physico-chemical Properties of Slags., ISIJ International, vol.33, issue.1, pp.148-155, 1993.
DOI : 10.2355/isijinternational.33.148

G. Morard, The Earth's core composition from high pressure density measurements of liquid iron alloys, Earth and Planetary Science Letters, vol.373, pp.169-178, 2013.
DOI : 10.1016/j.epsl.2013.04.040

J. M. Muir and J. P. Brodholt, Elastic properties of ferrous bearing MgSiO3 and their relevance to ULVZs, Geophysical Journal International, vol.201, issue.1, pp.496-504, 2015.
DOI : 10.1093/gji/ggv045

B. O. Mysen, D. Virgo, and . Seifert, The structure of silicate melts: Implications for chemical and physical properties of natural magma, Reviews of Geophysics, vol.72, issue.36, 1982.
DOI : 10.1029/RG020i003p00353

M. Nakajima and D. J. Stevenson, Melting and mixing states of the Earth's mantle after the Moon-forming impact, Earth and Planetary Science Letters, vol.427, pp.286-295, 2015.
DOI : 10.1016/j.epsl.2015.06.023

R. Nomura, Low Core-Mantle Boundary Temperature Inferred from the Solidus of Pyrolite, Science, vol.343, issue.6170, pp.522-525, 2014.
DOI : 10.1126/science.1248186

R. Nomura, Spin crossover and iron-rich silicate melt in the Earth???s deep mantle, Nature, vol.93, issue.7346, pp.473199-202, 2011.
DOI : 10.1038/nature09940

O. Neill, H. S. Berry, A. J. Eggins, and S. M. , The solubility and oxidation state of tungsten in silicate melts: Implications for the comparative chemistry of W and Mo in planetary differentiation processes, Chemical Geology, vol.255, pp.3-4346, 2008.

R. Oganov, J. P. Brodholt, and G. D. Price, The elastic constants of MgSiO3 perovskite at pressures and temperatures of the Earth's mantle, Nature, vol.52, issue.6840, pp.411934-937, 2001.
DOI : 10.1038/35082048

A. R. Oganov, J. P. Brodholt, and G. D. Price, Ab initio elasticity and thermal equation of state of MgSiO3 perovskite, Earth and Planetary Science Letters, vol.184, issue.3-4, pp.555-560, 2001.
DOI : 10.1016/S0012-821X(00)00363-0

E. Ohtani, The primodial terrestrial magma ocean and its implication for stratification of the mantle, Physics of the Earth and Planetary Interiors, vol.38, issue.1, pp.70-80, 1985.
DOI : 10.1016/0031-9201(85)90123-2

H. Palme, Comment on Prediction of metal ? silicate partition coefficients for siderophile elements : An update and assessment of PT conditions for metal ? silicate equilibrium during accretion of the Earth Available at, by K . Righter , EPSL Earth and Planetary Science Letters, vol.304, issue.3123, pp.158-167516, 2011.

H. Palme and H. S. Neill, Cosmochemical Estimates of Mantle Composition Available at: http://linkinghub, 2014.

R. C. Paniello, J. M. Day, and F. Moynier, Zinc isotopic evidence for the origin of the Moon, Nature, vol.70, issue.7420, pp.490376-379, 2012.
DOI : 10.1038/nature11507

M. Payne, Total Energy Calculations, Physical Review Letters, vol.56, issue.24, pp.2656-2656, 1986.
DOI : 10.1103/PhysRevLett.56.2656

M. C. Payne, Iterative minimization techniques for ab initio total-energy calculations: molecular dynamics and conjugate gradients, Reviews of Modern Physics, 1992.

J. P. Perdew, Prescription for the design and selection of density functional approximations: More constraint satisfaction with fewer fits, The Journal of Chemical Physics, vol.123, issue.6, 2005.
DOI : 10.1063/1.1904565

J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple. Physical review letters, pp.3865-3868, 1996.

M. Pozzo, Thermal and electrical conductivity of iron at Earth???s core conditions, Nature, vol.152, issue.7398, pp.10-15, 2012.
DOI : 10.1038/nature11031

C. Prescher, Iron spin state in silicate glass at high pressure: Implications for melts in the Earth??s lower mantle, Earth and Planetary Science Letters, vol.385, pp.130-136, 2014.
DOI : 10.1016/j.epsl.2013.10.040

D. M. Ramo and L. Stixrude, liquid at high pressure, Geophysical Research Letters, vol.231, issue.7171, pp.4512-4518, 2014.
DOI : 10.1029/2012JB009403

K. Righter, Prediction of metal???silicate partition coefficients for siderophile elements: An update and assessment of PT conditions for metal???silicate equilibrium during accretion of the Earth, Earth and Planetary Science Letters, vol.304, issue.1-2, pp.158-167, 2011.
DOI : 10.1016/j.epsl.2011.01.028

K. Righter, Reply to the Comment by Palme et al. on ???Prediction of metal???silicate partition coefficients for siderophile elements: An update and assessment of PT conditions for metal???silicate equilibrium during accretion of the Earth???, Earth and Planetary Science Letters, vol.312, issue.3-4, pp.158-167, 2011.
DOI : 10.1016/j.epsl.2011.10.011

. Ringwood, Chemical evolution of the terrestrial planets, Geochimica et Cosmochimica Acta, vol.30, issue.1, pp.41-104, 1966.
DOI : 10.1016/0016-7037(66)90090-1

A. E. Ringwood, Composition and Origin of the Moon. Origin of the moon, Proceedings of the Conference, pp.673-698, 1986.

S. Rost, Seismological constraints on a possible plume root at the core???mantle boundary, Nature, vol.93, issue.7042, pp.666-66915931220, 2005.
DOI : 10.1038/nature00979

D. C. Rubie, Accretion and differentiation of the terrestrial planets with implications for the compositions of early-formed Solar System bodies and accretion of water, Icarus, vol.248, pp.89-108, 2015.
DOI : 10.1016/j.icarus.2014.10.015

D. C. Rubie, Heterogeneous accretion, composition and core???mantle differentiation of the Earth, Earth and Planetary Science Letters, vol.301, issue.1-2, pp.31-42, 2011.
DOI : 10.1016/j.epsl.2010.11.030

D. C. Rubie, Mechanisms of metal???silicate equilibration in the terrestrial magma ocean, Earth and Planetary Science Letters, vol.205, issue.3-4, pp.239-255, 2003.
DOI : 10.1016/S0012-821X(02)01044-0

J. F. Rudge, T. Kleine, and B. Bourdon, Broad bounds on Earth???s accretion and core formation constrained by geochemical models, Nature Geoscience, vol.281, issue.6, pp.439-443, 2010.
DOI : 10.1038/ngeo872

J. R. Rustad and Q. Yin, Iron isotope fractionation in the Earth???s lower??mantle, Nature Geoscience, vol.430, issue.7, pp.514-518, 2009.
DOI : 10.1038/ngeo546

J. Ryckaert, G. Ciccotti, and H. J. Berendsen, Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes, Journal of Computational Physics, vol.23, issue.3, pp.327-341, 1977.
DOI : 10.1016/0021-9991(77)90098-5

C. Sanloup, Compressibility change in iron-rich melt and implications for core formation models. Earth and Planetary Science Letters Available at: http, pp.118-122, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00591407

C. Sanloup, Structural change in molten basalt at deep mantle conditions, Nature, vol.178, issue.7474, pp.104-107, 2013.
DOI : 10.1038/nature12668

URL : https://hal.archives-ouvertes.fr/hal-00936436

E. Sanville, Improved grid-based algorithm for Bader charge allocation, Journal of Computational Chemistry, vol.54, issue.5, pp.312967-2970, 2010.
DOI : 10.1002/jcc.20575

I. Scanavino, M. Prencipe, and A. Mineralogist, Ab-initio determination of high-pressure and high-temperature thermoelastic and thermodynamic properties of low-spin ( Mg 1 ? x Fe x ) O ferropericlase with x in the range, American Mineralogist, pp.981270-1278, 2013.

C. M. Scarfe, B. O. Mysen, and D. Virgo, Pressure Dependence of the Viscosity of Silicate Melts. Special Publication -The Geochemical Society, Magmat. Processes: Physicochem. Princ.), (I), pp.59-67, 1987.

S. H. Shim and K. Catalli, Compositional dependence of structural transition pressures in amorphous phases with mantle-related compositions, Earth and Planetary Science Letters, vol.283, issue.1-4, pp.174-180, 2009.
DOI : 10.1016/j.epsl.2009.04.018

J. Siebert, Metal-silicate partitioning of Ni and Co in a deep magma ocean. Earth and Planetary Science Letters Available at, pp.321-322189, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00799059

J. Siebert, A. Corgne, and F. J. Ryerson, Systematics of metal???silicate partitioning for many siderophile elements applied to Earth???s core formation, Geochimica et Cosmochimica Acta, vol.75, issue.6, pp.1451-1489, 2011.
DOI : 10.1016/j.gca.2010.12.013

J. V. Smith, Petrologic history of the moon inferred from petrography, mineralogy, and petrogenesis of Apollo 11 rocks Available at, Proceedings of the Apollo 11 Lunar Science Conference, pp.897-9259813, 1970.

S. Stackhouse, J. P. Brodholt, and G. D. Price, Elastic anisotropy of FeSiO 3 end-members of the perovskite and post-perovskite phases, Geophysical Research Letters, vol.33, issue.1, 2006.

S. Stackhouse, J. P. Brodholt, and G. D. Price, High temperature elastic anisotropy of the perovskite and post-perovskite polymorphs of Al 2 O 3, p.L13305. Available at, 2005.

J. F. Stebbins, I. Farnan, and X. Xue, The structure and dynamics of alkali silicate liquids: A view from NMR spectroscopy, Chemical Geology, vol.96, issue.3-4, pp.3-4371, 1992.
DOI : 10.1016/0009-2541(92)90066-E

L. Stixrude, Thermodynamics of silicate liquids in the deep Earth Earth and Planetary Science Letters Available at, pp.226-232, 2009.

A. Suzuki, Pressure and temperature dependence of the viscosity of a NaAlSi2O6 melt, Physics and Chemistry of Minerals, vol.40, issue.1, pp.59-64, 2010.
DOI : 10.1007/s00269-010-0381-4

W. Tang, E. Sanville, and G. Henkelman, A grid-based Bader analysis algorithm without lattice bias, Condensed matter : an Institute of Physics journal, p.84204, 2009.
DOI : 10.1088/0953-8984/21/8/084204

S. R. Taylor and P. Jakes, The geochemical evolution of the moon, Proceedings of the Fifth Lunar Conference -Geochimica et Cosmochimica Acta, pp.1287-1305, 1974.

C. W. Thomas, Multi-technique equation of state for Fe2SiO4 melt and the density of Fe-bearing silicate melts from 0 to 161 GPa, Journal of Geophysical Research: Solid Earth, vol.117, issue.10, pp.1-182012, 2012.

M. S. Thorne and E. J. Garnero, Inferences on ultralow-velocity zone structure from a global analysis of SPdKS waves, B08301. Available at, 2004.

M. Touboul, Late formation and prolonged differentiation of the Moon inferred from W isotopes in lunar metals, Nature, vol.84, issue.7173, pp.1206-1209, 2007.
DOI : 10.1016/j.epsl.2004.12.016

M. Touboul, Tungsten isotopes in ferroan anorthosites: Implications for the age of the Moon and lifetime of its magma ocean, Icarus, vol.199, issue.2, pp.245-249, 2009.
DOI : 10.1016/j.icarus.2008.11.018

K. Umemoto, Spin transition in (Mg,Fe)SiO3 perovskite under pressure. Earth 149 and Planetary Science Letters Available at: http, pp.198-206, 2008.

L. Verlet, Computer "Experiments" on Classical Fluids. II. Equilibrium Correlation Functions, Physical Review, vol.165, issue.1, p.201, 1967.
DOI : 10.1103/PhysRev.165.201

K. Vilella, Spin state transition and partitioning of iron: Effects on mantle dynamics, Earth and Planetary Science Letters, vol.417, pp.57-66, 2015.
DOI : 10.1016/j.epsl.2015.02.009

J. Wade and B. J. Wood, Core formation and the oxidation state of the Earth, Earth and Planetary Science Letters, vol.236, issue.1-2, pp.78-95, 2005.
DOI : 10.1016/j.epsl.2005.05.017

J. Wade, B. J. Wood, and J. Tuff, Metal???silicate partitioning of Mo and W at high pressures and temperatures: Evidence for late accretion of sulphur to the Earth, Geochimica et Cosmochimica Acta, vol.85, pp.58-74, 2012.
DOI : 10.1016/j.gca.2012.01.010

M. J. Walter and Y. Thibault, Partitioning of Tungsten and Molybdenum Between Metallic Liquid and Silicate Melt, Science, vol.270, issue.5239, pp.1186-1189, 1995.
DOI : 10.1126/science.270.5239.1186

J. T. Wan, First-principles study of density, viscosity, and diffusion coefficients of liquid MgSiO3 at conditions of the Earth's deep mantle, Journal of Geophysical Research: Solid Earth, vol.112, pp.1-7, 2007.

Y. Wang, Atomistic insight into viscosity and density of silicate melts under pressure Available at: http, Nature communications, vol.5, p.3241, 2014.

J. K. Wicks, J. M. Jackson, and W. Sturhahn, Very low sound velocities in iron-rich (Mg,Fe)O: Implications for the core-mantle boundary region, Geophysical Research Letters, vol.37, issue.5376, pp.1-52010, 2010.
DOI : 10.1029/2010GL043689

U. Wiechert, Oxygen isotopes and the moon-forming giant impact Available at: http://www.sciencemag.org/content, Science, vol.2942945541345, issue.5541, pp.345-353, 2001.

Q. Williams and E. J. Garnero, Seismic Evidence for Partial Melt at the Base of Earth's Mantle, Science, vol.273, issue.5281, pp.2731528-1530, 1996.
DOI : 10.1126/science.273.5281.1528

J. A. Wood, Lunar anorthosites and a geophysical model of the moon, Proceedings of the Apollo 11 Lunar Science Conference, pp.965-988, 1970.

J. Wu and J. F. Stebbins, Temperature and modifier cation field strength effects on aluminoborosilicate glass network structure, Journal of Non-Crystalline Solids, vol.362, issue.1, pp.73-81, 2013.
DOI : 10.1016/j.jnoncrysol.2012.11.005

G. Yu and S. B. Jacobsen, Fast accretion of the Earth with a late Moon-forming giant impact, Proceedings of the National Academy of Sciences, pp.17604-17609, 2011.
DOI : 10.1073/pnas.1108544108

J. Zhang, The proto-Earth as a significant source of lunar material, Nature Geoscience, vol.44, issue.4, pp.251-255, 2012.
DOI : 10.1016/j.epsl.2010.10.036

W. Zhang, Tracking excited-state charge and spin dynamics in iron coordination complexes, Nature, vol.8140, issue.7500, pp.345-348, 2014.
DOI : 10.1103/PhysRevB.83.220401

Y. Zhang, Finite-size effect at both high and low temperatures in molecular dynamics calculations of the self-diffusion coefficient and viscosity of liquid silica, Journal of Physics: Condensed Matter, vol.16, issue.50, pp.9127-9135, 2004.
DOI : 10.1088/0953-8984/16/50/003

Y. Zhang and G. Guo, Partitioning of Si and O between liquid iron and silicate melt: A two-phase ab-initio molecular dynamics study, Geophysical Research Letters, vol.72, issue.18, pp.1-5, 2009.
DOI : 10.1029/2009GL039751