knowledge of professional and technical personnel Notice on the organization of advanced research class on high-pressure science and new materials of engineering
Volume 35 Issue 6
Nov 2021
Turn off MathJax
Article Contents
Chinese Journal of High Pressure Physics  > 2021  >  35(6): 060101.
GAN Bo, LI Jun, JIANG Gang, ZHANG Youjun. A Review of the Experimental Determination of the Melting Curve of Iron at Ultrahigh Pressures[J]. Chinese Journal of High Pressure Physics, 2021, 35(6): 060101. doi: 10.11858/gywlxb.20210859
Citation: GAN Bo, LI Jun, JIANG Gang, ZHANG Youjun. A Review of the Experimental Determination of the Melting Curve of Iron at Ultrahigh Pressures[J]. Chinese Journal of High Pressure Physics, 2021, 35(6): 060101. doi: 10.11858/gywlxb.20210859
shu

A Review of the Experimental Determination of the Melting Curve of Iron at Ultrahigh Pressures

doi: 10.11858/gywlxb.20210859
  • 1.

    Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610065, Sichuan, China

  • 2.

    Institute of Fluid Physics, CAEP, Mianyang 621999, Sichuan, China

  • Received Date: 02 Aug 2021
  • Rev Recd Date: 12 Sep 2021
    Abstract
  • Iron is one of the typical d-orbital transition metals. Its melting behavior and melting curve at high pressure are of great importance for revealing the composition, thermal structure, and thermal evolution of the Earth’s core. Creating the extreme high pressure-temperature conditions and measuring the melting temperatures of the condensed matters in the laboratory are quite challenging, resulting in a long-term controversy on the melting curves of iron at high pressures among various experiments and between experiments and theories. With the development of various experimental techniques, the results between experimental and theoretical studies are generally consistent with each other. This review presents the main static and dynamic compression techniques that have been used to study the high-pressure melting curve of iron in recent years; it also explores the advantages and disadvantages of melting diagnostics for iron and transition metals. The possible reasons for the discrepancy in the melting curves of iron are also discussed. Based on the experimental and theoretical results of the melting curve of iron, the melting temperature of iron can be anchored to 5900–6300 K at the pressure of the inner core boundary (ICB, about 330 GPa). Summarizing the current researches on the melting behaviors of iron under static and dynamic compression has an important implication for studying the melting curves of other transition metals, as well as the melting mechanism.

     

    • FullText(HTML)
  • loading
    • References(255)
  • [1]
    谭华. 实验冲击波物理 [M]. 北京: 国防工业出版社, 2018.

    TAN H. Experimental shock wave physics [M]. Beijing: National Defense Industry Press, 2018.
    [2]
    GORMAN M G, BRIGGS R, MCBRIDE E E, et al. Direct observation of melting in shock-compressed bismuth with femtosecond X-ray diffraction [J]. Physical Review Letters, 2015, 115(9): 095701. doi: 10.1103/PhysRevLett.115.095701
    [3]
    JENSEN B J, CHERNE F J, COOLEY J C, et al. Shock melting of cerium [J]. Physical Review B, 2010, 81(21): 214109. doi: 10.1103/PhysRevB.81.214109
    [4]
    ROSS M, YANG L H, BOEHLER R. Melting of aluminum, molybdenum, and the light actinides [J]. Physical Review B, 2004, 70(18): 184112. doi: 10.1103/PhysRevB.70.184112
    [5]
    ERRANDONEA D, BOEHLER R, ROSS M. Melting of the rare Earth metals and f-electron delocalization [J]. Physical Review Letters, 2000, 85(16): 3444–3447. doi: 10.1103/PhysRevLett.85.3444
    [6]
    PATEL N N, SUNDER M. High pressure melting curve of osmium up to 35 GPa [J]. Journal of Applied Physics, 2019, 125(5): 055902. doi: 10.1063/1.5045823
    [7]
    YAP C Y, CHUA C K, DONG Z L, et al. Review of selective laser melting: materials and applications [J]. Applied Physics Reviews, 2015, 2(4): 041101. doi: 10.1063/1.4935926
    [8]
    BOYER R R. An overview on the use of titanium in the aerospace industry [J]. Materials Science and Engineering: A, 1996, 213(1/2): 103–114. doi: 10.1016/0921-5093(96)10233-1
    [9]
    FISCHER R A. Melting of Fe alloys and the thermal structure of the core [M]//TERASAKI H, FISCHER R A. Deep Earth: Physics and Chemistry of the Lower Mantle and Core. Hoboken: John Wiley, 2016: 3–12.
    [10]
    ANZELLINI S, DEWAELE A, MEZOUAR M, et al. Melting of iron at Earth’s inner core boundary based on fast X-ray diffraction [J]. Science, 2013, 340(6131): 464–466. doi: 10.1126/science.1233514
    [11]
    PARISIADES P. A review of the melting curves of transition metals at high pressures using static compression techniques [J]. Crystals, 2021, 11(4): 416. doi: 10.3390/cryst11040416
    [12]
    PARISIADES P, COVA F, GARBARINO G. Melting curve of elemental zirconium [J]. Physical Review B, 2019, 100(5): 054102. doi: 10.1103/PhysRevB.100.054102
    [13]
    JAPEL S, SCHWAGER B, BOEHLER R, et al. Melting of copper and nickel at high pressure: the role of d electrons [J]. Physical Review Letters, 2005, 95(16): 167801. doi: 10.1103/PhysRevLett.95.167801
    [14]
    ROSS M, BOEHLER R, ERRANDONEA D. Melting of transition metals at high pressure and the influence of liquid frustration: the late metals Cu, Ni, and Fe [J]. Physical Review B, 2007, 76(18): 184117. doi: 10.1103/PhysRevB.76.184117
    [15]
    ALFÈ D, VOČADLO L, PRICE G D, et al. Melting curve of materials: theory versus experiments [J]. Journal of Physics: Condensed Matter, 2004, 16(14): S973–S982. doi: 10.1088/0953-8984/16/14/006
    [16]
    DAI C D, HU J B, TAN H. Hugoniot temperatures and melting of tantalum under shock compression determined by optical pyrometry [J]. Journal of Applied Physics, 2009, 106(4): 043519. doi: 10.1063/1.3204941
    [17]
    SANTAMARÍA-PÉREZ D, ROSS M, ERRANDONEA D, et al. X-ray diffraction measurements of Mo melting to 119 GPa and the high pressure phase diagram [J]. The Journal of Chemical Physics, 2009, 130(12): 124509. doi: 10.1063/1.3082030
    [18]
    ERRANDONEA D. Improving the understanding of the melting behaviour of Mo, Ta, and W at extreme pressures [J]. Physica B: Condensed Matter, 2005, 357(3/4): 356–364. doi: 10.1016/j.physb.2004.11.087
    [19]
    PIGOTT J S, VELISAVLJEVIC N, MOSS E K, et al. Experimental melting curve of zirconium metal to 37 GPa [J]. Journal of Physics: Condensed Matter, 2020, 32(35): 355402. doi: 10.1088/1361-648X/ab8cdb
    [20]
    ERRANDONEA D. High-pressure melting curves of the transition metals Cu, Ni, Pd, and Pt [J]. Physical Review B, 2013, 87(5): 054108. doi: 10.1103/PhysRevB.87.054108
    [21]
    LAZOR P, SHEN G, SAXENA S K. Laser-heated diamond anvil cell experiments at high pressure: melting curve of nickel up to 700 kbar [J]. Physics and Chemistry of Minerals, 1993, 20(2): 86–90. doi: 10.1007/BF00207200
    [22]
    GREGORYANZ E, DEGTYAREVA O, SOMAYAZULU M, et al. Melting of dense sodium [J]. Physical Review Letters, 2005, 94(18): 185502. doi: 10.1103/PhysRevLett.94.185502
    [23]
    NARYGINA O, MCBRIDE E E, STINTON G W, et al. Melting curve of potassium to 22 GPa [J]. Physical Review B, 2011, 84(5): 054111. doi: 10.1103/PhysRevB.84.054111
    [24]
    GUILLAUME C L, GREGORYANZ E, DEGTYAREVA O, et al. Cold melting and solid structures of dense lithium [J]. Nature Physics, 2011, 7(3): 211–214. doi: 10.1038/nphys1864
    [25]
    KULYAMINA E Y, ZITSERMAN V Y, FOKIN L R. Titanium melting curve: data consistency assessment, problems and achievements [J]. Technical Physics, 2018, 63(3): 369–373. doi: 10.1134/S1063784218030131
    [26]
    BUFFETT B A. Earth’s core and the geodynamo [J]. Science, 2000, 288(5473): 2007–2012. doi: 10.1126/science.288.5473.2007
    [27]
    LABROSSE S. Thermal evolution of the core with a high thermal conductivity [J]. Physics of the Earth and Planetary Interiors, 2015, 247: 36–55. doi: 10.1016/j.pepi.2015.02.002
    [28]
    LAY T, HERNLUND J W, BUFFETT B A. Core-mantle boundary heat flow [J]. Nature Geoscience, 2008, 1(1): 25–32. doi: 10.1038/ngeo.2007.44
    [29]
    ALBOUSSIÈRE T, DEGUEN R, MELZANI M. Melting-induced stratification above the Earth’s inner core due to convective translation [J]. Nature, 2010, 466(7307): 744–747. doi: 10.1038/nature09257
    [30]
    GUBBINS D, SREENIVASAN B, MOUND J, et al. Melting of the Earth’s inner core [J]. Nature, 2011, 473(7347): 361–363. doi: 10.1038/nature10068
    [31]
    BUFFETT B A. The thermal state of Earth’s core [J]. Science, 2003, 299(5613): 1675–1677. doi: 10.1126/science.1081518
    [32]
    NIMMO F. Energetics of the core [J]. Treatise on Geophysics, 2015, 8: 27–55. doi: 10.1016/B978-0-444-53802-4.00139-1
    [33]
    DEWAELE A, LOUBEYRE P, OCCELLI F, et al. Toroidal diamond anvil cell for detailed measurements under extreme static pressures [J]. Nature Communications, 2018, 9(1): 2913. doi: 10.1038/s41467-018-05294-2
    [34]
    DUBROVINSKAIA N, DUBROVINSKY L, SOLOPOVA N A, et al. Terapascal static pressure generation with ultrahigh yield strength nanodiamond [J]. Science Advances, 2016, 2(7): e1600341. doi: 10.1126/sciadv.1600341
    [35]
    DUBROVINSKY L, DUBROVINSKAIA N, PRAKAPENKA V B, et al. Implementation of micro-ball nanodiamond anvils for high-pressure studies above 6 Mbar [J]. Nature Communications, 2012, 3(1): 1163. doi: 10.1038/ncomms2160
    [36]
    SWIFT D C, JOHNSON R P. Quasi-isentropic compression by ablative laser loading: response of materials to dynamic loading on nanosecond time scales [J]. Physical Review E, 2005, 71(6): 066401. doi: 10.1103/PhysRevE.71.066401
    [37]
    KALITA P, BROWN J, SPECHT P, et al. Dynamic X-ray diffraction and nanosecond quantification of kinetics of formation of β-zirconium under shock compression [J]. Physical Review B, 2020, 102(6): 060101. doi: 10.1103/PhysRevB.102.060101
    [38]
    EGGERT J H, HICKS D G, CELLIERS P M, et al. Melting temperature of diamond at ultrahigh pressure [J]. Nature Physics, 2010, 6(1): 40–43. doi: 10.1038/nphys1438
    [39]
    DUFFY T S, SMITH R F. Ultra-high pressure dynamic compression of geological materials [J]. Frontiers in Earth Science, 2019, 7: 23. doi: 10.3389/FEART.2019.00023
    [40]
    NGUYEN J H, HOLMES N C. Melting of iron at the physical conditions of the Earth’s core [J]. Nature, 2004, 427(6972): 339–342. doi: 10.1038/nature02248
    [41]
    HUSER G, KOENIG M, BENUZZI-MOUNAIX A, et al. Temperature and melting of laser-shocked iron releasing into an LiF window [J]. Physics of Plasmas, 2005, 12(6): 060701. doi: 10.1063/1.1896375
    [42]
    GLENZER S H, FLETCHER L B, GALTIER E, et al. Matter under extreme conditions experiments at the Linac Coherent Light Source [J]. Journal of Physics B: Atomic, Molecular and Optical Physics, 2016, 49(9): 092001. doi: 10.1088/0953-4075/49/9/092001
    [43]
    NAGLER B, ARNOLD B, BOUCHARD G, et al. The matter in extreme conditions instrument at the linac coherent light source [J]. Journal of Synchrotron Radiation, 2015, 22(3): 520–525. doi: 10.1107/S1600577515004865
    [44]
    MASON P, BANERJEE S, SMITH J, et al. Development of a 100 J, 10 Hz laser for compression experiments at the High Energy Density instrument at the European XFEL [J]. High Power Laser Science and Engineering, 2018, 6: e65. doi: 10.1017/hpl.2018.56
    [45]
    ZHANG Y J, SEKINE T, LIN J F, et al. Shock compression and melting of an Fe-Ni-Si alloy: implications for the temperature profile of the Earth’s core and the heat flux across the core-mantle boundary [J]. Journal of Geophysical Research: Solid Earth, 2018, 123(2): 1314–1327. doi: 10.1002/2017JB014723
    [46]
    ZHANG Y J, TAN Y, GENG H Y, et al. Melting curve of vanadium up to 256 GPa: consistency between experiments and theory [J]. Physical Review B, 2020, 102(21): 214104. doi: 10.1103/PhysRevB.102.214104
    [47]
    LI J, WU Q, LI J B, et al. Shock melting curve of iron: a consensus on the temperature at the Earth’s inner core boundary [J]. Geophysical Research Letters, 2020, 47(15): e2020GL087758. doi: 10.1029/2020GL087758
    [48]
    MCMAHAN A K. Pressure-induced changes in the electronic structure of solids [J]. Physica B, 1986, 139/140: 31–41. doi: 10.1016/0378-4363(86)90519-X
    [49]
    POUROVSKII L V. Electronic correlations in dense iron: from moderate pressure to Earth’s core conditions [J]. Journal of Physics: Condensed Matter, 2019, 31(37): 373001. doi: 10.1088/1361-648X/ab274f
    [50]
    LUO S N, AHRENS T J, ÇAĞIN T, et al. Maximum superheating and undercooling: systematics, molecular dynamics simulations, and dynamic experiments [J]. Physical Review B, 2003, 68(13): 134206. doi: 10.1103/PhysRevB.68.134206
    [51]
    MORRIS J R, WANG C Z, HO K M, et al. Melting line of aluminum from simulations of coexisting phases [J]. Physical Review B, 1994, 49(5): 3109–3115. doi: 10.1103/PhysRevB.49.3109
    [52]
    BELONOSHKO A B. Molecular dynamics of MgSiO3 perovskite at high pressures: equation of state, structure, and melting transition [J]. Geochimica et Cosmochimica Acta, 1994, 58(19): 4039–4047. doi: 10.1016/0016-7037(94)90265-8
    [53]
    GILLAN M J, ALFÈ D, BRODHOLT J, et al. First-principles modelling of Earth and planetary materials at high pressures and temperatures [J]. Reports on Progress in Physics, 2006, 69(8): 2365–2441. doi: 10.1088/0034-4885/69/8/R03
    [54]
    GENG H Y, WU Q. Predicted reentrant melting of dense hydrogen at ultra-high pressures [J]. Scientific Reports, 2016, 6(1): 36745. doi: 10.1038/srep36745
    [55]
    GENG H Y, WU Q, MARQUÉS M, et al. Thermodynamic anomalies and three distinct liquid-liquid transitions in warm dense liquid hydrogen [J]. Physical Review B, 2019, 100(13): 134109. doi: 10.1103/PhysRevB.100.134109
    [56]
    CAZORLA C, ALFÈ D, GILLAN M J. Constraints on the phase diagram of molybdenum from first-principles free-energy calculations [J]. Physical Review B, 2012, 85(6): 064113. doi: 10.1103/PhysRevB.85.064113
    [57]
    BELONOSHKO A B, ROSENGREN A. High-pressure melting curve of platinum from ab initio Z method [J]. Physical Review B, 2012, 85(17): 174104. doi: 10.1103/PhysRevB.85.174104
    [58]
    BELONOSHKO A B, DAVIS S, SKORODUMOVA N V, et al. Properties of the fcc Lennard-Jones crystal model at the limit of superheating [J]. Physical Review B, 2007, 76(6): 064121. doi: 10.1103/PhysRevB.76.064121
    [59]
    WANG S C, ZHANG G M, LIU H F, et al. Modified Z method to calculate melting curve by molecular dynamics [J]. The Journal of Chemical Physics, 2013, 138(13): 134101. doi: 10.1063/1.4798225
    [60]
    FROST D J, POE B T, TRØNNES R G, et al. A new large-volume multianvil system [J]. Physics of the Earth and Planetary Interiors, 2004, 143/144: 507–514. doi: 10.1016/J.PEPI.2004.03.003
    [61]
    SHCHEKA S S, WIEDENBECK M, FROST D J, et al. Carbon solubility in mantle minerals [J]. Earth and Planetary Science Letters, 2006, 245(3/4): 730–742. doi: 10.1016/j.jpgl.2006.03.036
    [62]
    NIETO-SANZ D, LOUBEYRE P, CRICHTON W, et al. X-ray study of the synthesis of boron oxides at high pressure: phase diagram and equation of state [J]. Physical Review B, 2004, 70(21): 214108. doi: 10.1103/PhysRevB.70.214108
    [63]
    HORVATH-BORDON E, RIEDEL R, ZERR A, et al. High-pressure chemistry of nitride-based materials [J]. Chemical Society Reviews, 2006, 35(10): 987–1014. doi: 10.1039/b517778m
    [64]
    ITO E, YAMAZAKI D, YOSHINO T, et al. Pressure generation and investigation of the post-perovskite transformation in MgGeO3 by squeezing the Kawai-cell equipped with sintered diamond anvils [J]. Earth and Planetary Science Letters, 2010, 293(1/2): 84–89. doi: 10.1016/j.jpgl.2010.02.023
    [65]
    ZHOU X F, MA D J, WANG L F, et al. Large-volume cubic press produces high temperatures above 4000 Kelvin for study of the refractory materials at pressures [J]. Review of Scientific Instruments, 2020, 91(1): 015118. doi: 10.1063/1.5128190
    [66]
    LAZICKI A, FEI Y W, HEMLEY R J. High-pressure differential thermal analysis measurements of the melting curve of lithium [J]. Solid State Communications, 2010, 150(13/14): 625–627. doi: 10.1016/j.ssc.2009.12.029
    [67]
    SILBER R E, SECCO R A, YONG W J. Constant electrical resistivity of Ni along the melting boundary up to 9 GPa [J]. Journal of Geophysical Research: Solid Earth, 2017, 122(7): 5064–5081. doi: 10.1002/2017JB014259
    [68]
    EZENWA I C, SECCO R A. Invariant electrical resistivity of Co along the melting boundary [J]. Earth and Planetary Science Letters, 2017, 474: 120–127. doi: 10.1016/j.jpgl.2017.06.032
    [69]
    BERRADA M, SECCO R A, YONG W J. Decreasing electrical resistivity of gold along the melting boundary up to 5 GPa [J]. High Pressure Research, 2018, 38(4): 367–376. doi: 10.1080/08957959.2018.1493476
    [70]
    BRAND H, DOBSON D P, VOČADLO L, et al. Melting curve of copper measured to 16 GPa using a multi-anvil press [J]. High Pressure Research, 2006, 26(3): 185–191. doi: 10.1080/08957950600873089
    [71]
    MING L C, BASSETT W A. Laser heating in the diamond anvil press up to 2000 ℃ sustained and 3000 ℃ pulsed at pressures up to 260 kilobars [J]. Review of Scientific Instruments, 1974, 45(9): 1115–1118. doi: 10.1063/1.1686822
    [72]
    ANZELLINI S, BOCCATO S. A practical review of the laser-heated diamond anvil cell for university laboratories and synchrotron applications [J]. Crystals, 2020, 10(6): 459. doi: 10.3390/cryst10060459
    [73]
    LIN J F, SHU J F, MAO H K, et al. Amorphous boron gasket in diamond anvil cell research [J]. Review of Scientific Instruments, 2003, 74(11): 4732–4736. doi: 10.1063/1.1621065
    [74]
    FUNAMORI N, SATO T. A cubic boron nitride gasket for diamond-anvil experiments [J]. Review of Scientific Instruments, 2008, 79(5): 053903. doi: 10.1063/1.2917409
    [75]
    HEMLEY R J, MAO H K, SHEN G Y, et al. X-ray imaging of stress and strain of diamond, iron, and tungsten at megabar pressures [J]. Science, 1997, 276(5316): 1242–1245. doi: 10.1126/science.276.5316.1242
    [76]
    MAO H K, SHU J F, SHEN G Y, et al. Elasticity and rheology of iron above 220 GPa and the nature of the Earth’s inner core [J]. Nature, 1998, 396(6713): 741–743. doi: 10.1038/25506
    [77]
    WU T C, BASSETT W A. Deviatoric stress in a diamond anvil cell using synchrotron radiation with two diffraction geometries [J]. Pure and Applied Geophysics, 1993, 141(2): 509–519. doi: 10.1007/BF00998343
    [78]
    KLOTZ S, CHERVIN J C, MUNSCH P, et al. Hydrostatic limits of 11 pressure transmitting media [J]. Journal of Physics D: Applied Physics, 2009, 42(7): 075413. doi: 10.1088/0022-3727/42/7/075413
    [79]
    DEWAELE A, LOUBEYRE P. Pressurizing conditions in helium-pressure-transmitting medium [J]. High Pressure Research, 2007, 27(4): 419–429. doi: 10.1080/08957950701659627
    [80]
    MAO H K, BELL P M, SHANER J W, et al. Specific volume measurements of Cu, Mo, Pd, and Ag and calibration of the ruby R1 fluorescence pressure gauge from 0.06 to 1 Mbar [J]. Journal of Applied Physics, 1978, 49(6): 3276–3283. doi: 10.1063/1.325277
    [81]
    BOSE S. Planck’s law and the light quantum hypothesis [J]. Journal of Astrophysics and Astronomy, 1994, 15(1): 3–7. doi: 10.1007/BF03010400
    [82]
    WEIK M H. Planck’s law [M]//WEIK M H. Computer Science and Communications Dictionary. Boston: Springer, 2000: 1284.
    [83]
    BENEDETTI L R, LOUBEYRE P. Temperature gradients, wavelength-dependent emissivity, and accuracy of high and very-high temperatures measured in the laser-heated diamond cell [J]. High Pressure Research, 2004, 24(4): 423–445. doi: 10.1080/08957950412331331718
    [84]
    BENEDETTI L R, ANTONANGELI D, FARBER D L, et al. An integrated method to determine melting temperatures in high-pressure laser-heating experiments [J]. Applied Physics Letters, 2008, 92(14): 141903. doi: 10.1063/1.2906893
    [85]
    DEWAELE A, TORRENT M, LOUBEYRE P, et al. Compression curves of transition metals in the Mbar range: experiments and projector augmented-wave calculations [J]. Physical Review B, 2008, 78(10): 104102. doi: 10.1103/PhysRevB.78.104102
    [86]
    SHEN G Y, WANG Y B, DEWAELE A, et al. Toward an international practical pressure scale: a proposal for an IPPS ruby gauge (IPPS-Ruby2020) [J]. High Pressure Research, 2020, 40(3): 299–314. doi: 10.1080/08957959.2020.1791107
    [87]
    DATCHI F, DEWAELE A, LOUBEYRE P, et al. Optical pressure sensors for high-pressure-high-temperature studies in a diamond anvil cell [J]. High Pressure Research, 2007, 27(4): 447–463. doi: 10.1080/08957950701659593
    [88]
    AKAHAMA Y, KAWAMURA H. Pressure calibration of diamond anvil Raman gauge to 410 GPa [J]. Journal of Physics: Conference Series, 2010, 215: 012195. doi: 10.1088/1742-6596/215/1/012195
    [89]
    DEWAELE A, BELONOSHKO A B, GARBARINO G, et al. High-pressure-high-temperature equation of state of KCl and KBr [J]. Physical Review B, 2012, 85(21): 214105. doi: 10.1103/PhysRevB.85.214105
    [90]
    TANGE Y, NISHIHARA Y, TSUCHIYA T. Unified analyses for P-V-T equation of state of MgO: a solution for pressure-scale problems in high P-T experiments [J]. Journal of Geophysical Research: Solid Earth, 2009, 114(B3): B03208. doi: 10.1029/2008JB005813
    [91]
    MATSUI M, PARKER S C, LESLIE M. The MD simulation of the equation of state of MgO: application as a pressure calibration standard at high temperature and high pressure [J]. American Mineralogist, 2000, 85(2): 312–316. doi: 10.2138/am-2000-2-308
    [92]
    MAO H K, BELL P M. Equations of state of MgO and ε-Fe under static pressure conditions [J]. Journal of Geophysical Research: Solid Earth, 1979, 84(B9): 4533–4536. doi: 10.1029/JB084iB09p04533
    [93]
    DECKER D L. High-pressure equation of state for NaCl, KCl, and CsCl [J]. Journal of Applied Physics, 1971, 42(8): 3239–3244. doi: 10.1063/1.1660714
    [94]
    DECKER D L. Equation of state of NaCl and its use as a pressure gauge in high-pressure research [J]. Journal of Applied Physics, 1965, 36(1): 157–161. doi: 10.1063/1.1713864
    [95]
    YE Y, SHIM S H, PRAKAPENKA V, et al. Equation of state of solid Ne inter-calibrated with the MgO, Au, Pt, NaCl-B2, and ruby pressure scales up to 130 GPa [J]. High Pressure Research, 2018, 38(4): 377–395. doi: 10.1080/08957959.2018.1493477
    [96]
    SHEELENDRA K, VIJAY A. Equation of state, thermoelastic properties and melting behavior of NaCl at high temperatures and high pressures [J]. Journal of Physics and Chemistry of Solids, 2018, 123: 364–370. doi: 10.1016/j.jpcs.2018.08.027
    [97]
    FAN D W, ZHOU W G, WEI S Y, et al. A simple external resistance heating diamond anvil cell and its application for synchrotron radiation X-ray diffraction [J]. Review of Scientific Instruments, 2010, 81(5): 053903. doi: 10.1063/1.3430069
    [98]
    JENEI Z, CYNN H, VISBECK K, et al. High-temperature experiments using a resistively heated high-pressure membrane diamond anvil cell [J]. Review of Scientific Instruments, 2013, 84(9): 095114. doi: 10.1063/1.4821622
    [99]
    WEIR S T, JACKSON D D, FALABELLA S, et al. An electrical microheater technique for high-pressure and high-temperature diamond anvil cell experiments [J]. Review of Scientific Instruments, 2009, 80(1): 013905. doi: 10.1063/1.3069286
    [100]
    PASTERNAK S, AQUILANTI G, PASCARELLI S, et al. A diamond anvil cell with resistive heating for high pressure and high temperature X-ray diffraction and absorption studies [J]. Review of Scientific Instruments, 2008, 79(8): 085103. doi: 10.1063/1.2968199
    [101]
    DU Z X, MIYAGI L, AMULELE G, et al. Efficient graphite ring heater suitable for diamond-anvil cells to 1300 K [J]. Review of Scientific Instruments, 2013, 84(2): 024502. doi: 10.1063/1.4792395
    [102]
    DUBROVINSKY L S, SAXENA S K, LAZOR P. High-pressure and high-temperature in situ X-ray diffraction study of iron and corundum to 68 GPa using an internally heated diamond anvil cell [J]. Physics and Chemistry of Minerals, 1998, 25(6): 434–441. doi: 10.1007/s002690050133
    [103]
    BALZARETTI N M, GONZALEZ E J, PIERMARINI G J, et al. Resistance heating of the gasket in a gem-anvil high pressure cell [J]. Review of Scientific Instruments, 1999, 70(11): 4316–4323. doi: 10.1063/1.1150095
    [104]
    LIERMANN H P, MERKEL S, MIYAGI L, et al. Experimental method for in situ determination of material textures at simultaneous high pressure and high temperature by means of radial diffraction in the diamond anvil cell [J]. Review of Scientific Instruments, 2009, 80(10): 104501. doi: 10.1063/1.3236365
    [105]
    BASSETT W A, SHEN A H, BUCKNUM M, et al. A new diamond anvil cell for hydrothermal studies to 2.5 GPa and from −190 to 1200  ℃ [J]. Review of Scientific Instruments, 1993, 64(8): 2340–2345. doi: 10.1063/1.1143931
    [106]
    ZHA C S, BASSETT W A. Internal resistive heating in diamond anvil cell for in situ X-ray diffraction and Raman scattering [J]. Review of Scientific Instruments, 2003, 74(3): 1255–1262. doi: 10.1063/1.1539895
    [107]
    WEIR S T, LIPP M J, FALABELLA S, et al. High pressure melting curve of tin measured using an internal resistive heating technique to 45 GPa [J]. Journal of Applied Physics, 2012, 111(12): 123529. doi: 10.1063/1.4730968
    [108]
    KOMABAYASHI T, FEI Y W, MENG Y, et al. In-situ X-ray diffraction measurements of the γ-ε transition boundary of iron in an internally-heated diamond anvil cell [J]. Earth and Planetary Science Letters, 2009, 282(1/2/3/4): 252–257. doi: 10.1016/J.EPSL.2009.03.025
    [109]
    KOMABAYASHI T, PESCE G, SINMYO R, et al. Phase relations in the system Fe-Ni-Si to 200 GPa and 3900 K and implications for Earth’s core [J]. Earth and Planetary Science Letters, 2019, 512: 83–88. doi: 10.1016/j.jpgl.2019.01.056
    [110]
    BOEHLER R, ROSS M, SÖDERLIND P, et al. High-pressure melting curves of argon, krypton, and xenon: deviation from corresponding states theory [J]. Physical Review Letters, 2001, 86(25): 5731–5734. doi: 10.1103/PhysRevLett.86.5731
    [111]
    BOEHLER R, ROSS M, BOERCKER D B. High-pressure melting curves of alkali halides [J]. Physical Review B, 1996, 53(2): 556–563. doi: 10.1103/PhysRevB.53.556
    [112]
    BOEHLER R, ROSS M, BOERCKER D B. Melting of LiF and NaCl to 1 Mbar: systematics of ionic solids at extreme conditions [J]. Physical Review Letters, 1997, 78(24): 4589–4592. doi: 10.1103/PhysRevLett.78.4589
    [113]
    SHEN G Y, LAZOR P. Measurement of melting temperatures of some minerals under lower mantle pressures [J]. Journal of Geophysical Research: Solid Earth, 1995, 100(B9): 17699–17713. doi: 10.1029/95JB01864
    [114]
    SANTAMARÍA-PÉREZ D, MUKHERJEE G D, SCHWAGER B, et al. High-pressure melting curve of helium and neon: deviations from corresponding states theory [J]. Physical Review B, 2010, 81(21): 214101. doi: 10.1103/PhysRevB.81.214101
    [115]
    KIMURA T, OHFUJI H, NISHI M, et al. Melting temperatures of MgO under high pressure by micro-texture analysis [J]. Nature Communications, 2017, 8(1): 15735. doi: 10.1038/ncomms15735
    [116]
    ANDRAULT D, MORARD G, GARBARINO G, et al. Melting behavior of SiO2 up to 120 GPa [J]. Physics and Chemistry of Minerals, 2020, 47(2): 10. doi: 10.1007/s00269-019-01077-3
    [117]
    SEILER F, IGRA O. Hypervelocity launchers [M]. Cham: Springer, 2016.
    [118]
    CHEN G Q, AHRENS T J. High-pressure melting of iron: new experiments and calculations [J]. Philosophical Transactions of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 1996, 354(1711): 1251–1263. doi: 10.1098/rsta.1996.0047
    [119]
    YOO C S, HOLMES N C, ROSS M, et al. Shock temperatures and melting of iron at Earth core conditions [J]. Physical Review Letters, 1993, 70(25): 3931–3934. doi: 10.1103/PhysRevLett.70.3931
    [120]
    TURNEAURE S J, SHARMA S M, GUPTA Y M. Crystal structure and melting of Fe shock compressed to 273 GPa: in situ X-ray diffraction [J]. Physical Review Letters, 2020, 125(21): 215702. doi: 10.1103/PhysRevLett.125.215702
    [121]
    HERTZBERG A, BRUCKNER A P, BOGDANOFF D W. Ram accelerator: a new chemical method for accelerating projectiles to ultrahigh velocities [J]. AIAA Journal, 1988, 26(2): 195–203. doi: 10.2514/3.9872
    [122]
    CROZIER W D, HUME W. High-velocity, light-gas gun [J]. Journal of Applied Physics, 1957, 28(8): 892–894. doi: 10.1063/1.1722882
    [123]
    BOSLOUGH M B, AHRENS T J. A sensitive time-resolved radiation pyrometer for shock-temperature measurements above 1500 K [J]. Review of Scientific Instruments, 1989, 60(12): 3711–3716. doi: 10.1063/1.1140480
    [124]
    RAV A S, SAXENA A K, JOSHI K D, et al. Time resolved radiation pyrometer for transient temperature measurement [J]. AIP Conference Proceedings, 2011, 1349(1): 451–452. doi: 10.1063/1.3605928
    [125]
    BOSLOUGH M B. Shock-induced chemical reactions in nickel-aluminum powder mixtures: radiation pyrometer measurements [J]. Chemical Physics Letters, 1989, 160(5/6): 618–622. doi: 10.1016/0009-2614(89)80074-0
    [126]
    TAN H, DAI C D, ZHANG L Y, et al. Method to determine the melting temperatures of metals under megabar shock pressures [J]. Applied Physics Letters, 2005, 87(22): 221905. doi: 10.1063/1.2043248
    [127]
    TAN H, AHRENS T J. Shock temperature measurements for metals [J]. High Pressure Research, 1990, 2(3): 159–182. doi: 10.1080/08957959008201036
    [128]
    NELLIS W J, YOO C S. Issues concerning shock temperature measurements of iron and other metals [J]. Journal of Geophysical Research:Solid Earth, 1990, 95(B13): 21749–21752. doi: 10.1029/JB095iB13p21749
    [129]
    ALFÈ D, GILLAN M J, PRICE G D. The melting curve of iron at the pressures of the Earth’s core from ab initio calculations [J]. Nature, 1999, 401(6752): 462–464. doi: 10.1038/46758
    [130]
    ANDERSON O L, ISAAK D G. Calculated melting curves for phases of iron [J]. American Mineralogist, 2000, 85(2): 376–385. doi: 10.2138/am-2000-2-317
    [131]
    BELONOSHKO A B, AHUJA R, JOHANSSON B. Quasi-ab initio molecular dynamic study of Fe melting [J]. Physical Review Letters, 2000, 84(16): 3638–3641. doi: 10.1103/PhysRevLett.84.3638
    [132]
    LAIO A, BERNARD S, CHIAROTTI G L, et al. Physics of iron at Earth’s core conditions [J]. Science, 2000, 287(5455): 1027–1030. doi: 10.1126/science.287.5455.1027
    [133]
    ALFÈ D, PRICE G D, GILLAN M J. Iron under Earth’s core conditions: liquid-state thermodynamics and high-pressure melting curve from ab initio calculations [J]. Physical Review B, 2002, 65(16): 165118. doi: 10.1103/PhysRevB.65.165118
    [134]
    ANDERSON O L, ISAAK D G, NELSON V E. The high-pressure melting temperature of hexagonal close-packed iron determined from thermal physics [J]. Journal of Physics and Chemistry of Solids, 2003, 64(11): 2125–2131. doi: 10.1016/S0022-3697(03)00112-4
    [135]
    ALFÈ D. Temperature of the inner-core boundary of the Earth: melting of iron at high pressure from first-principles coexistence simulations [J]. Physical Review B, 2009, 79(6): 060101(R). doi: 10.1103/PhysRevB.79.060101
    [136]
    SOLA E, ALFÈ D. Melting of iron under Earth’s core conditions from diffusion Monte Carlo free energy calculations [J]. Physical Review Letters, 2009, 103(7): 078501. doi: 10.1103/PhysRevLett.103.078501
    [137]
    KOMABAYASHI T, FEI Y W. Internally consistent thermodynamic database for iron to the Earth’s core conditions [J]. Journal of Geophysical Research: Solid Earth, 2010, 115(B3): B03202. doi: 10.1029/2009JB006442
    [138]
    BOUCHET J, MAZEVET S, MORARD G, et al. Ab initio equation of state of iron up to 1500 GPa [J]. Physical Review B, 2013, 87(9): 094102. doi: 10.1103/PhysRevB.87.094102
    [139]
    ZHANG W J, LIU Z Y, LIU Z L, et al. Melting curves and entropy of melting of iron under Earth’s core conditions [J]. Physics of the Earth and Planetary Interiors, 2015, 244: 69–77. doi: 10.1016/j.pepi.2014.10.011
    [140]
    DOROGOKUPETS P I, DYMSHITS A M, LITASOV K D, et al. Thermodynamics and equations of state of iron to 350 GPa and 6000 K [J]. Scientific Reports, 2017, 7: 41863. doi: 10.1038/srep41863
    [141]
    SUN T, BRODHOLT J P, LI Y G, et al. Melting properties from ab initio free energy calculations: iron at the Earth’s inner-core boundary [J]. Physical Review B, 2018, 98(22): 224301. doi: 10.1103/PhysRevB.98.224301
    [142]
    CUONG T D, PHAN A D. Efficient analytical approach for high-pressure melting properties of iron [J]. Vacuum, 2021, 185: 110001. doi: 10.1016/j.vacuum.2020.110001
    [143]
    WILLIAMS Q, JEANLOZ R, BASS J, et al. The melting curve of iron to 250 gigapascals: a constraint on the temperature at Earth’s center [J]. Science, 1987, 236(4798): 181–182. doi: 10.1126/science.236.4798.181
    [144]
    BOEHLER R, VON BARGEN N, CHOPELAS A. Melting, thermal expansion, and phase transitions of iron at high pressures [J]. Journal of Geophysical Research: Solid Earth, 1990, 95(B13): 21731–21736. doi: 10.1029/JB095iB13p21731
    [145]
    BOEHLER R. Temperatures in the Earth’s core from melting-point measurements of iron at high static pressures [J]. Nature, 1993, 363(6429): 534–536. doi: 10.1038/363534a0
    [146]
    SAXENA S K, SHEN G, LAZOR P. Temperatures in Earth’s core based on melting and phase transformation experiments on iron [J]. Science, 1994, 264(5157): 405–407. doi: 10.1126/science.264.5157.405
    [147]
    SHEN G Y, MAO H K, HEMLEY R J, et al. Melting and crystal structure of iron at high pressures and temperatures [J]. Geophysical Research Letters, 1998, 25(3): 373–376. doi: 10.1029/97GL03776
    [148]
    SHEN G Y, PRAKAPENKA V B, RIVERS M L, et al. Structure of liquid iron at pressures up to 58 GPa [J]. Physical Review Letters, 2004, 92(18): 185701. doi: 10.1103/PhysRevLett.92.185701
    [149]
    MA Y Z, SOMAYAZULU M, SHEN G Y, et al. In situ X-ray diffraction studies of iron to Earth-core conditions [J]. Physics of the Earth and Planetary Interiors, 2004, 143/144: 455–467. doi: 10.1016/j.pepi.2003.06.005
    [150]
    BOEHLER R, SANTAMARÍA-PÉREZ D, ERRANDONEA D, et al. Melting, density, and anisotropy of iron at core conditions: new X-ray measurements to 150 GPa [J]. Journal of Physics: Conference Series, 2008, 121: 022018. doi: 10.1088/1742-6596/121/2/022018
    [151]
    JACKSON J M, STURHAHN W, LERCHE M, et al. Melting of compressed iron by monitoring atomic dynamics [J]. Earth and Planetary Science Letters, 2013, 362: 143–150. doi: 10.1016/j.jpgl.2012.11.048
    [152]
    AQUILANTI G, TRAPANANTI A, KARANDIKAR A, et al. Melting of iron determined by X-ray absorption spectroscopy to 100 GPa [J]. Proceedings of the National Academy of Sciences of the United States of America, 2015, 112(39): 12042–12045. doi: 10.1073/pnas.1502363112
    [153]
    ZHANG D Z, JACKSON J M, ZHAO J Y, et al. Temperature of Earth’s core constrained from melting of Fe and Fe0.9Ni0.1 at high pressures [J]. Earth and Planetary Science Letters, 2016, 447: 72–83. doi: 10.1016/j.jpgl.2016.04.026
    [154]
    MORARD G, BOCCATO S, ROSA A D, et al. Solving controversies on the iron phase diagram under high pressure [J]. Geophysical Research Letters, 2018, 45(20): 11074–11082. doi: 10.1029/2018GL079950
    [155]
    SINMYO R, HIROSE K, OHISHI Y. Melting curve of iron to 290 GPa determined in a resistance-heated diamond-anvil cell [J]. Earth and Planetary Science Letters, 2019, 510: 45–52. doi: 10.1016/j.jpgl.2019.01.006
    [156]
    BROWN J M, MCQUEEN R G. Phase transitions, Grüneisen parameter, and elasticity for shocked iron between 77 GPa and 400 GPa [J]. Journal of Geophysical Research: Solid Earth, 1986, 91(B7): 7485–7494. doi: 10.1029/JB091iB07p07485
    [157]
    BASS J D, SVENDSEN B, AHRENS T J. The temperature of shock compressed iron [M]//MANGHNANI M H, SYONO Y. High-Pressure Research in Mineral Physics: A Volume in Honor of Syuniti Akimoto. Terra Scientific Publishing Company, 1987: 393–402.
    [158]
    李西军. 铁高压熔化线研究 [D]. 北京: 中国工程物理研究院, 2000.

    LI X J. Study on high pressure iron melting curve [D]. Beijing: China Academy of Engineering Physics, 2000.
    [159]
    李西军, 龚自正, 刘福生, 等. 铁高压熔化线的测量——熔化机理的影响 [J]. 高压物理学报, 2001, 15(3): 221–225. doi: 10.11858/gywlxb.2001.03.009

    LI X J, GONG Z Z, LIU F S, et al. A problem in measurements of high pressure melting curve of iron: influence of melting mechanism on the melting temperature [J]. Chinese Journal of High Pressure Physics, 2001, 15(3): 221–225. doi: 10.11858/gywlxb.2001.03.009
    [160]
    AHRENS T J, HOLLAND K G, CHEN G Q. Phase diagram of iron, revised-core temperatures [J]. Geophysical Research Letters, 2002, 29(7): 1150. doi: 10.1029/2001GL014350
    [161]
    PING Y, COPPARI F, HICKS D G, et al. Solid iron compressed up to 560 GPa [J]. Physical Review Letters, 2013, 111(6): 065501. doi: 10.1103/PhysRevLett.111.065501
    [162]
    孙峪怀. 铁的高压物态方程与熔化线研究 [D]. 成都: 西南交通大学, 2009.

    SUN Y H. Study on the equation of state and melting curve of iron [D]. Chengdu: Southwest Jiaotong University, 2009.
    [163]
    HARMAND M, RAVASIO A, MAZEVET S, et al. X-ray absorption spectroscopy of iron at multimegabar pressures in laser shock experiments [J]. Physical Review B, 2015, 92(2): 024108. doi: 10.1103/PhysRevB.92.024108
    [164]
    TORCHIO R, OCCELLI F, MATHON O, et al. Probing local and electronic structure in warm dense matter: single pulse synchrotron X-ray absorption spectroscopy on shocked Fe [J]. Scientific Reports, 2016, 6(1): 26402. doi: 10.1038/srep26402
    [165]
    ERRANDONEA D, SCHWAGER B, DITZ R, et al. Systematics of transition-metal melting [J]. Physical Review B, 2001, 63(13): 132104. doi: 10.1103/PhysRevB.63.132104
    [166]
    JEANLOZ R, KAVNER A. Melting criteria and imaging spectroradiometry in laser-heated diamond-cell experiments [J]. Philosophical Transactions of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 1996, 354(1711): 1279–1305. doi: 10.1098/rsta.1996.0049
    [167]
    DEWAELE A, MEZOUAR M, GUIGNOT N, et al. High melting points of tantalum in a laser-heated diamond anvil cell [J]. Physical Review Letters, 2010, 104(25): 255701. doi: 10.1103/PhysRevLett.104.255701
    [168]
    ERRANDONEA D, MACLEOD S G, BURAKOVSKY L, et al. Melting curve and phase diagram of vanadium under high-pressure and high-temperature conditions [J]. Physical Review B, 2019, 100(9): 094111. doi: 10.1103/PhysRevB.100.094111
    [169]
    STUTZMANN V, DEWAELE A, BOUCHET J, et al. High-pressure melting curve of titanium [J]. Physical Review B, 2015, 92(22): 224110. doi: 10.1103/PhysRevB.92.224110
    [170]
    ANZELLINI S, MONTESEGURO V, BANDIELLO E, et al. In situ characterization of the high pressure-high temperature melting curve of platinum [J]. Scientific Reports, 2019, 9(1): 13034. doi: 10.1038/s41598-019-49676-y
    [171]
    WECK G, RECOULES V, QUEYROUX J A, et al. Determination of the melting curve of gold up to 110 GPa [J]. Physical Review B, 2020, 101(1): 014106. doi: 10.1103/PhysRevB.101.014106
    [172]
    LORD O T, WOOD I G, DOBSON D P, et al. The melting curve of Ni to 1 Mbar [J]. Earth and Planetary Science Letters, 2014, 408: 226–236. doi: 10.1016/j.jpgl.2014.09.046
    [173]
    ERRANDONEA D, BURAKOVSKY L, PRESTON D L, et al. Experimental and theoretical confirmation of an orthorhombic phase transition in niobium at high pressure and temperature [J]. Communications Materials, 2020, 1(1): 60. doi: 10.1038/s43246-020-00058-2
    [174]
    DEWAELE A, MEZOUAR M, GUIGNOT N, et al. Melting of lead under high pressure studied using second-scale time-resolved X-ray diffraction [J]. Physical Review B, 2007, 76(14): 144106. doi: 10.1103/PhysRevB.76.144106
    [175]
    ANDRAULT D, MORARD G, BOLFAN-CASANOVA N, et al. Study of partial melting at high-pressure using in situ X-ray diffraction [J]. High Pressure Research, 2006, 26(3): 267–276. doi: 10.1080/08957950600897013
    [176]
    BOCCATO S, TORCHIO R, KANTOR I, et al. The melting curve of nickel up to 100 GPa explored by XAS [J]. Journal of Geophysical Research: Solid Earth, 2017, 122(12): 9921–9930. doi: 10.1002/2017JB014807
    [177]
    LI F F, CUI Q L, HE Z, et al. Brillouin scattering spectroscopy for a laser heated diamond anvil cell [J]. Applied Physics Letters, 2006, 88(20): 203507. doi: 10.1063/1.2205164
    [178]
    ZHANG J S, BASS J D, ZHU G H. Single-crystal Brillouin spectroscopy with CO2 laser heating and variable q [J]. Review of Scientific Instruments, 2015, 86(6): 063905. doi: 10.1063/1.4922634
    [179]
    DI CICCO A, TRAPANANTI A. Study of local icosahedral ordering in liquid and undercooled liquid copper [J]. Journal of Non-Crystalline Solids, 2007, 353(32): 3671–3678. doi: 10.1016/j.jnoncrysol.2007.05.150
    [180]
    PASCARELLI S, MATHON O, MAIRS T, et al. The time-resolved and extreme-conditions XAS (TEXAS) facility at the European Synchrotron Radiation Facility: the energy-dispersive X-ray absorption spectroscopy beamline ID24 [J]. Journal of Synchrotron Radiation, 2016, 23(1): 353–368. doi: 10.1107/S160057751501783X
    [181]
    LORD O T, WALTER M J, DASGUPTA R, et al. Melting in the Fe-C system to 70 GPa [J]. Earth and Planetary Science Letters, 2009, 284(1/2): 157–167. doi: 10.1016/J.EPSL.2009.04.017
    [182]
    HRUBIAK R, MENG Y, SHEN G Y. Microstructures define melting of molybdenum at high pressures [J]. Nature Communications, 2017, 8: 14562. doi: 10.1038/ncomms14562
    [183]
    KARANDIKAR A, BOEHLER R. Flash melting of tantalum in a diamond cell to 85 GPa [J]. Physical Review B, 2016, 93(5): 054107. doi: 10.1103/PhysRevB.93.054107
    [184]
    YANG L X, KARANDIKAR A, BOEHLER R. Flash heating in the diamond cell: melting curve of rhenium [J]. Review of Scientific Instruments, 2012, 83(6): 063905. doi: 10.1063/1.4730595
    [185]
    ERRANDONEA D. The melting curve of ten metals up to 12 GPa and 1600 K [J]. Journal of Applied Physics, 2010, 108(3): 033517. doi: 10.1063/1.3468149
    [186]
    BASU A, FIELD M R, MCCULLOCH D G, et al. New measurement of melting and thermal conductivity of iron close to outer core conditions [J]. Geoscience Frontiers, 2020, 11(2): 565–568. doi: 10.1016/j.gsf.2019.06.007
    [187]
    BOEHLER R. The phase diagram of iron to 430 kbar [J]. Geophysical Research Letters, 1986, 13(11): 1153–1156. doi: 10.1029/GL013i011p01153
    [188]
    KUPENKO I, DUBROVINSKY L, DUBROVINSKAIA N, et al. Portable double-sided laser-heating system for Mössbauer spectroscopy and X-ray diffraction experiments at synchrotron facilities with diamond anvil cells [J]. Review of Scientific Instruments, 2012, 83(12): 124501. doi: 10.1063/1.4772458
    [189]
    APRILIS G, STROHM C, KUPENKO I, et al. Portable double-sided pulsed laser heating system for time-resolved geoscience and materials science applications [J]. Review of Scientific Instruments, 2017, 88(8): 084501. doi: 10.1063/1.4998985
    [190]
    ZHANG D Z, JACKSON J M, ZHAO J Y, et al. Fast temperature spectrometer for samples under extreme conditions [J]. Review of Scientific Instruments, 2015, 86(1): 013105. doi: 10.1063/1.4905431
    [191]
    BELONOSHKO A B, AHUJA R, JOHANSSON B. Molecular dynamics study of melting and fcc-bcc transitions in Xe [J]. Physical Review Letters, 2001, 87(16): 165505. doi: 10.1103/PhysRevLett.87.165505
    [192]
    BELONOSHKO A B, AHUJA R, JOHANSSON B. Stability of the body-centred-cubic phase of iron in the Earth’s inner core [J]. Nature, 2003, 424(6952): 1032–1034. doi: 10.1038/nature01954
    [193]
    SALAMAT A, FISCHER R A, BRIGGS R, et al. In situ synchrotron X-ray diffraction in the laser-heated diamond anvil cell: melting phenomena and synthesis of new materials [J]. Coordination Chemistry Reviews, 2014, 277/278: 15–30. doi: 10.1016/j.ccr.2014.01.034
    [194]
    GLAZYRIN K, POUROVSKII L V, DUBROVINSKY L, et al. Importance of correlation effects in hcp iron revealed by a pressure-induced electronic topological transition [J]. Physical Review Letters, 2013, 110(11): 117206. doi: 10.1103/PhysRevLett.110.117206
    [195]
    WANG Y, WANG J J, HERMANN A, et al. Electronically driven 1D cooperative diffusion in a simple cubic crystal [J]. Physical Review X, 2021, 11(1): 011006. doi: 10.1103/PhysRevX.11.011006
    [196]
    HRUBIAK R, MENG Y, SHEN G Y. Experimental evidence of a body centered cubic iron at the Earth’s core condition [J/OL]. arXiv preprint arXiv: 1804.05109. (2018-04-13)[2021-08-02]. https://arxiv.org/abs/1804.05109.
    [197]
    LORD O T, WANN E T H, HUNT S A, et al. The NiSi melting curve to 70 GPa [J]. Physics of the Earth and Planetary Interiors, 2014, 233: 13–23. doi: 10.1016/j.pepi.2014.05.005
    [198]
    GEBALLE Z M, JEANLOZ R. Origin of temperature plateaus in laser-heated diamond anvil cell experiments [J]. Journal of Applied Physics, 2012, 111(12): 123518. doi: 10.1063/1.4729905
    [199]
    MENG Y, SHEN G, MAO H K. Double-sided laser heating system at HPCAT for in situ X-ray diffraction at high pressures and high temperatures [J]. Journal of Physics: Condensed Matter, 2006, 18(25): S1097–S1103. doi: 10.1088/0953-8984/18/25/S17
    [200]
    SHEN G Y, MAO H K, HEMLEY R J. Laser-heated diamond anvil cell technique: double-sided heating with multimode Nd: YAG laser [C]//Proceedings of the Advance Materials '96 New Trends in High Pressure Research, 3rd International Symposium Advanced Materials. Ibaraki: National Institute for Research in Inorganic Materials, 1996.
    [201]
    BOEHLER R. Laser heating in the diamond cell: techniques and applications [J]. Hyperfine Interactions, 2000, 128(1): 307–321. doi: 10.1023/A:1012648019016
    [202]
    ERRANDONEA D, SOMAYAZULU M, HÄUSERMANN D, et al. Melting of tantalum at high pressure determined by angle dispersive X-ray diffraction in a double-sided laser-heated diamond-anvil cell [J]. Journal of Physics: Condensed Matter, 2003, 15(45): 7635–7649. doi: 10.1088/0953-8984/15/45/003
    [203]
    NGUYEN J H, HOLMES N C. Iron sound velocities in shock wave experiments [J]. AIP Conference Proceedings, 2000, 505(1): 81–84. doi: 10.1063/1.1303426
    [204]
    WASSERMAN E, STIXRUDE L, COHEN R E. Thermal properties of iron at high pressures and temperatures [J]. Physical Review B, 1996, 53(13): 8296–8309. doi: 10.1103/PhysRevB.53.8296
    [205]
    HONG N T, HIEU H K. High-pressure melting curves of and phases of iron [J]. VNU Journal of Science: Mathematics-Physics, 2019, 35(4): 99–105. doi: 10.25073/2588-1124/VNUMAP.4382
    [206]
    BELASHCHENKO D K. Estimation of the thermodynamic characteristics of the Earth’s core using the embedded atom model [J]. Geochemistry International, 2014, 52(6): 456–466. doi: 10.1134/S0016702914060020
    [207]
    ZHUANG J Y, WANG H J, ZHANG Q, et al. Thermodynamic properties of ε-Fe with thermal electronic excitation effects on vibrational spectra [J]. Physical Review B, 2021, 103(14): 144102. doi: 10.1103/PhysRevB.103.144102
    [208]
    HIEU H K, HAI T T, HONG N T, et al. Pressure dependence of melting temperature and shear modulus of hcp-iron [J]. High Pressure Research, 2017, 37(3): 267–277. doi: 10.1080/08957959.2017.1318131
    [209]
    VAN HUNG V, HAI D T, BINH L T T. Melting curve of metals with defect: pressure dependence [J]. Computational Materials Science, 2013, 79: 789–794. doi: 10.1016/j.commatsci.2013.07.042
    [210]
    KRESSE G, JOUBERT D. From ultrasoft pseudopotentials to the projector augmented-wave method [J]. Physical Review B, 1999, 59(3): 1758–1775. doi: 10.1103/PhysRevB.59.1758
    [211]
    BLÖCHL P E. Projector augmented-wave method [J]. Physical Review B, 1994, 50(24): 17953–17979. doi: 10.1103/PhysRevB.50.17953
    [212]
    DAW M S, FOILES S M, BASKES M I. The embedded-atom method: a review of theory and applications [J]. Materials Science Reports, 1993, 9(7/8): 251–310. doi: 10.1016/0920-2307(93)90001-U
    [213]
    LINDEMANN F A. The calculation of molecular vibration frequencies [J]. Zeitschrift fur Physik, 1910, 11: 609–612.
    [214]
    WOLF G H, JEANLOZ R. Lindemann melting law: anharmonic correction and test of its validity for minerals [J]. Journal of Geophysical Research: Solid Earth, 1984, 89(B9): 7821–7835. doi: 10.1029/JB089iB09p07821
    [215]
    KUSHWAH S S, TOMAR Y S, UPADHYAY A K. On the volume-dependence of the Grüneisen parameter and the Lindemann law of melting [J]. Journal of Physics and Chemistry of Solids, 2013, 74(8): 1143–1145. doi: 10.1016/j.jpcs.2013.03.014
    [216]
    SIMON F, GLATZEL G. Bemerkungen zur Schmelzdruckkurve [J]. Zeitschrift für Anorganische und Allgemeine Chemie, 1929, 178(1): 309–316. doi: 10.1002/zaac.19291780123
    [217]
    KRAUT E A, KENNEDY G C. New melting law at high pressures [J]. Physical Review, 1966, 151(2): 668–675. doi: 10.1103/PhysRev.151.668
    [218]
    杜宜瑾. 凝聚态物理研究 [M]. 合肥: 安徽大学出版社, 1998.

    DU Y J. Research on condensed matter physics [M]. Hefei: Anhui University Press, 1998.
    [219]
    WANG Z W, LAZOR P, SAXENA S K. A simple model for assessing the high pressure melting of metals: nickel, aluminum and platinum [J]. Physica B: Condensed Matter, 2001, 293(3/4): 408–416. doi: 10.1016/S0921-4526(00)00542-1
    [220]
    LI J, FEI Y. Experimental constraints on core composition [J]. Treatise on Geochemistry, 2014, 3: 527–557. doi: 10.1016/B978-0-08-095975-7.00214-X
    [221]
    MCDONOUGH W F. Compositional model for the Earth’s core [J]. Treatise on Geochemistry, 2014, 3: 559–577. doi: 10.1016/B978-0-08-095975-7.00215-1
    [222]
    SAKAMAKI K, TAKAHASHI E, NAKAJIMA Y, et al. Melting phase relation of FeH x up to 20 GPa: implication for the temperature of the Earth’s core [J]. Physics of the Earth and Planetary Interiors, 2009, 174(1/2/3/4): 192–201. doi: 10.1016/j.pepi.2008.05.017
    [223]
    ASANUMA H, OHTANI E, SAKAI T, et al. Static compression of Fe0.83Ni0.09Si0.08 alloy to 374 GPa and Fe0.93Si0.07 alloy to 252 GPa: implications for the Earth’s inner core [J]. Earth and Planetary Science Letters, 2011, 310(1/2): 113–118. doi: 10.1016/j.jpgl.2011.06.034
    [224]
    ASANUMA H, OHTANI E, SAKAI T, et al. Melting of iron-silicon alloy up to the core-mantle boundary pressure: implications to the thermal structure of the Earth’s core [J]. Physics and Chemistry of Minerals, 2010, 37(6): 353–359. doi: 10.1007/s00269-009-0338-7
    [225]
    FISCHER R A, CAMPBELL A J, CARACAS R, et al. Equation of state and phase diagram of Fe-16Si alloy as a candidate component of Earth’s core [J]. Earth and Planetary Science Letters, 2012, 357/358: 268–276. doi: 10.1016/j.jpgl.2012.09.022
    [226]
    FISCHER R A, CAMPBELL A J, REAMAN D M, et al. Phase relations in the Fe-FeSi system at high pressures and temperatures [J]. Earth and Planetary Science Letters, 2013, 373: 54–64. doi: 10.1016/j.jpgl.2013.04.035
    [227]
    FISCHER R A, CAMPBELL A J, CARACAS R, et al. Equations of state in the Fe-FeSi system at high pressures and temperatures [J]. Journal of Geophysical Research: Solid Earth, 2014, 119(4): 2810–2827. doi: 10.1002/2013JB010898
    [228]
    SEAGLE C T, HEINZ D L, CAMPBELL A J, et al. Melting and thermal expansion in the Fe-FeO system at high pressure [J]. Earth and Planetary Science Letters, 2008, 265(3/4): 655–665. doi: 10.1016/j.jpgl.2007.11.004
    [229]
    KOMABAYASHI T. Thermodynamics of melting relations in the system Fe-FeO at high pressure: implications for oxygen in the Earth’s core [J]. Journal of Geophysical Research: Solid Earth, 2014, 119(5): 4164–4177. doi: 10.1002/2014JB010980
    [230]
    OZAWA H, TAKAHASHI F, HIROSE K, et al. Phase transition of FeO and stratification in Earth’s outer core [J]. Science, 2011, 334(6057): 792–794. doi: 10.1126/science.1208265
    [231]
    FEI Y W, BROSH E. Experimental study and thermodynamic calculations of phase relations in the Fe-C system at high pressure [J]. Earth and Planetary Science Letters, 2014, 408: 155–162. doi: 10.1016/j.jpgl.2014.09.044
    [232]
    CAMPBELL A J, SEAGLE C T, HEINZ D L, et al. Partial melting in the iron-sulfur system at high pressure: a synchrotron X-ray diffraction study [J]. Physics of the Earth and Planetary Interiors, 2007, 162(1/2): 119–128. doi: 10.1016/j.pepi.2007.04.001
    [233]
    KAMADA S, OHTANI E, TERASAKI H, et al. Melting relationships in the Fe-Fe3S system up to the outer core conditions [J]. Earth and Planetary Science Letters, 2012, 359/360: 26–33. doi: 10.1016/j.jpgl.2012.09.038
    [234]
    KAMADA S, TERASAKI H, OHTANI E, et al. Phase relationships of the Fe-FeS system in conditions up to the Earth’s outer core [J]. Earth and Planetary Science Letters, 2010, 294(1/2): 94–100. doi: 10.1016/j.jpgl.2010.03.011
    [235]
    MORARD G, ANDRAULT D, GUIGNOT N, et al. In situ determination of Fe-Fe3S phase diagram and liquid structural properties up to 65 GPa [J]. Earth and Planetary Science Letters, 2008, 272(3/4): 620–626. doi: 10.1016/j.jpgl.2008.05.028
    [236]
    CHUDINOVSKIKH L, BOEHLER R. Eutectic melting in the system Fe-S to 44 GPa [J]. Earth and Planetary Science Letters, 2007, 257(1/2): 97–103. doi: 10.1016/j.jpgl.2007.02.024
    [237]
    MORI Y, OZAWA H, HIROSE K, et al. Melting experiments on Fe-Fe3S system to 254 GPa [J]. Earth and Planetary Science Letters, 2017, 464: 135–141. doi: 10.1016/j.jpgl.2017.02.021
    [238]
    TERASAKI H, KAMADA S, SAKAI T, et al. Liquidus and solidus temperatures of a Fe-O-S alloy up to the pressures of the outer core: implication for the thermal structure of the Earth’s core [J]. Earth and Planetary Science Letters, 2011, 304(3/4): 559–564. doi: 10.1016/j.jpgl.2011.02.041
    [239]
    HUANG H J, HU X J, JING F Q, et al. Melting behavior of Fe-O-S at high pressure: a discussion on the melting depression induced by O and S [J]. Journal of Geophysical Research: Solid Earth, 2010, 115(B5): B05207. doi: 10.1029/2009JB006514
    [240]
    ZHANG Y J, SEKINE T, HE H L, et al. Shock compression of Fe-Ni-Si system to 280 GPa: implications for the composition of the Earth’s outer core [J]. Geophysical Research Letters, 2014, 41(13): 4554–4559. doi: 10.1002/2014GL060670
    [241]
    ZHANG L, FEI Y W. Effect of Ni on Fe-FeS phase relations at high pressure and high temperature [J]. Earth and Planetary Science Letters, 2008, 268(1/2): 212–218. doi: 10.1016/j.jpgl.2008.01.028
    [242]
    HIROSE K, LABROSSE S, HERNLUND J. Composition and state of the core [J]. Annual Review of Earth and Planetary Sciences, 2013, 41(1): 657–691. doi: 10.1146/annurev-earth-050212-124007
    [243]
    ZHANG Y J, SEKINE T, HE H L, et al. Experimental constraints on light elements in the Earth’s outer core [J]. Scientific Reports, 2016, 6: 22473. doi: 10.1038/srep22473
    [244]
    DZIEWONSKI A M, ANDERSON D L. Preliminary reference Earth model [J]. Physics of the Earth and Planetary Interiors, 1981, 25(4): 297–356. doi: 10.1016/0031-9201(81)90046-7
    [245]
    ALFÈ D, GILLAN M J, PRICE G D. Composition and temperature of the Earth’s core constrained by combining ab initio calculations and seismic data [J]. Earth and Planetary Science Letters, 2002, 195(1/2): 91–98. doi: 10.1016/S0012-821X(01)00568-4
    [246]
    GUBBINS D, ALFÈ D, MASTERS G, et al. Can the Earth’s dynamo run on heat alone? [J]. Geophysical Journal International, 2003, 155(2): 609–622. doi: 10.1046/j.1365-246X.2003.02064.x
    [247]
    VOČADLO L, ALFÈ D, GILLAN M J, et al. The properties of iron under core conditions from first principles calculations [J]. Physics of the Earth and Planetary Interiors, 2003, 140(1/2/3): 101–125. doi: 10.1016/j.pepi.2003.08.001
    [248]
    NGUYEN J H, AKIN M C, CHAU R, et al. Molybdenum sound velocity and shear modulus softening under shock compression [J]. Physical Review B, 2014, 89(17): 174109. doi: 10.1103/PhysRevB.89.174109
    [249]
    WANG J, COPPARI F, SMITH R F, et al. X-ray diffraction of molybdenum under shock compression to 450 GPa [J]. Physical Review B, 2015, 92(17): 174114. doi: 10.1103/PhysRevB.92.174114
    [250]
    LUO S N, AHRENS T J. Shock-induced superheating and melting curves of geophysically important minerals [J]. Physics of the Earth and Planetary Interiors, 2004, 143/144: 369–386. doi: 10.1016/j.pepi.2003.04.001
    [251]
    DAI C D, JIN X G, ZHOU X M, et al. Sound velocity variations and melting of vanadium under shock compression [J]. Journal of Physics D: Applied Physics, 2001, 34(20): 3064–3070. doi: 10.1088/0022-3727/34/20/310
    [252]
    LANDA A, SÖDERLIND P, YANG L H. Ab initio phase stability at high temperatures and pressures in the V-Cr system [J]. Physical Review B, 2014, 89(2): 020101(R). doi: 10.1103/PhysRevB.89.020101
    [253]
    ZHANG T T, WANG S C, SONG H F, et al. Melting curve of vanadium up to 470 GPa simulated by ab initio molecular dynamics [J]. Journal of Applied Physics, 2019, 126(20): 205901. doi: 10.1063/1.5124520
    [254]
    KLUG D D. Melting points agree under pressure [J]. Physics, 2010, 3: 52. doi: 10.1103/Physics.3.52
    [255]
    SAMANTA A, TUCKERMAN M E, YU T Q, et al. Microscopic mechanisms of equilibrium melting of a solid [J]. Science, 2014, 346(6210): 729–732. doi: 10.1126/science.1253810
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(9)  / Tables(1)

    Get Citation
    PDF
    XML

    Article Metrics

    Article views(913) PDF downloads(101) Cited by()
    Proportional views
    Related

    Copyright©《高压物理学报》编辑部

    Tel:0816-2490042 E-mail:gaoya@caep.cn

    Shu ICP, 11011126 -2

    Supported by: Beijing Renhe Information Technology Co. Ltd support: info@rhhz.net  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return