X-ray diffraction of molybdenum under shock compression to 450 GPa

Wang, Jue; Coppari, Federica; Smith, Raymond F.; Eggert, Jon H.; Lazicki, Amy E.; Fratanduono, Dayne E.; Rygg, J. Ryan; Boehly, Thomas R.; Collins, Gilbert W.; Duffy, Thomas S.

doi:10.1103/PhysRevB.92.174114

Title: X-ray diffraction of molybdenum under shock compression to 450 GPa

Journal Article · Fri Nov 20 04:00:00 UTC 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI: https://doi.org/10.1103/PhysRevB.92.174114 · OSTI ID:1337781

Wang, Jue ^[1]; Coppari, Federica ^[2]; Smith, Raymond F. ^[2]; Eggert, Jon H. ^[2]; Lazicki, Amy E. ^[2]; Fratanduono, Dayne E. ^[2]; Rygg, J. Ryan ^[2]; Boehly, Thomas R. ^[3]; Collins, Gilbert W. ^[2]; Duffy, Thomas S. ^[4]

Princeton Univ., Princeton, NJ (United States); Princeton University
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of Rochester, Rochester, NY (United States)
Princeton Univ., Princeton, NJ (United States)

Molybdenum (Mo) is a body-centered-cubic (bcc) transition metal that has widespread technological applications. Although the bcc transition elements are used as test cases for understanding the behavior of metals under extreme conditions, the melting curves and phase transitions of these elements have been the subject of stark disagreements in recent years. Here we use x-ray diffraction to examine the phase stability and melting behavior of Mo under shock loading to 450 GPa. The bcc phase of Mo remains stable along the Hugoniot until 380 GPa. Here, our results do not support previous claims of a shallow melting curve for molybdenum.

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Research Organization:: Princeton Univ., Princeton, NJ (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0000856; NA0002154; AC52-07NA27344

OSTI ID:: 1337781

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 17 Vol. 92; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (56)

Shock Wave Compression of Condensed Matter Forbes, Jerry W. https://doi.org/10.1007/978-3-642-32535-9	book	January 2012
HYADES—A plasma hydrodynamics code for dense plasma studies Larsen, Jon T.; Lane, Stephen M. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 51, Issue 1-2 https://doi.org/10.1016/0022-4073(94)90078-7	journal	January 1994
Initial performance results of the OMEGA laser system Boehly, T. R.; Brown, D. L.; Craxton, R. S. Optics Communications, Vol. 133, Issue 1-6 https://doi.org/10.1016/S0030-4018(96)00325-2	journal	January 1997
Theoretical study of the structural properties and thermodynamic stability of the omega phase in the 4d-transition series Garcés, J. E.; Grad, G. B.; Fernández Guillermet, A. Journal of Alloys and Compounds, Vol. 289, Issue 1-2 https://doi.org/10.1016/S0925-8388(99)00161-9	journal	July 1999
In situ synchrotron X-ray diffraction in the laser-heated diamond anvil cell: Melting phenomena and synthesis of new materials Salamat, Ashkan; Fischer, Rebecca A.; Briggs, Richard Coordination Chemistry Reviews, Vol. 277-278 https://doi.org/10.1016/j.ccr.2014.01.034	journal	October 2014
Predicted crystal structures of molybdenum under high pressure Wang, Bing; Zhang, Guang Biao; Wang, Yuan Xu Journal of Alloys and Compounds, Vol. 556 https://doi.org/10.1016/j.jallcom.2012.12.006	journal	April 2013
Shock-induced superheating and melting curves of geophysically important minerals Luo, Sheng-Nian; Ahrens, Thomas J. Physics of the Earth and Planetary Interiors, Vol. 143-144 https://doi.org/10.1016/j.pepi.2003.04.001	journal	June 2004
Shock compression of preheated molybdenum to 300GPa Asimow, Paul D.; Sun, Daoyuan; Ahrens, Thomas J. Physics of the Earth and Planetary Interiors, Vol. 174, Issue 1-4 https://doi.org/10.1016/j.pepi.2008.08.004	journal	May 2009
Temperature in molybdenum at high shock pressure: Experiment and theory Zhang, Xiu-lu; Liu, Zhong-li; Gu, Yun-jun Physica B: Condensed Matter, Vol. 403, Issue 18 https://doi.org/10.1016/j.physb.2008.04.012	journal	September 2008
Lattice Dynamics and Thermodynamics of Molybdenum from First-Principles Calculations Zeng, Zhao-Yi; Hu, Cui-E; Cai, Ling-Cang The Journal of Physical Chemistry B, Vol. 114, Issue 1 https://doi.org/10.1021/jp9073637	journal	January 2010
Temperatures in the Earth's core from melting-point measurements of iron at high static pressures Boehler, R. Nature, Vol. 363, Issue 6429 https://doi.org/10.1038/363534a0	journal	June 1993
The melting curve of iron at the pressures of the Earth's core from ab initio calculations Alfè, D.; Gillan, M. J.; Price, G. D. Nature, Vol. 401, Issue 6752 https://doi.org/10.1038/46758	journal	September 1999
Stability of the body-centred-cubic phase of iron in the Earth's inner core Belonoshko, Anatoly B.; Ahuja, Rajeev; Johansson, Börje Nature, Vol. 424, Issue 6952 https://doi.org/10.1038/nature01954	journal	August 2003
Experimental evidence for a phase transition in magnesium oxide at exoplanet pressures Coppari, F.; Smith, R. F.; Eggert, J. H. Nature Geoscience, Vol. 6, Issue 11 https://doi.org/10.1038/ngeo1948	journal	September 2013
Shear-induced anisotropic plastic flow from body-centred-cubic tantalum before melting Wu, Christine J.; Söderlind, Per; Glosli, James N. Nature Materials, Vol. 8, Issue 3 https://doi.org/10.1038/nmat2375	journal	January 2009
Absolute equation of state measurements of iron using laser driven shocks Benuzzi-Mounaix, A.; Koenig, M.; Huser, G. Physics of Plasmas, Vol. 9, Issue 6 https://doi.org/10.1063/1.1478557	journal	June 2002
Model for assessing the melting on Hugoniots of metals: Al, Pb, Cu, Mo, Fe, and U Dai, Chengda; Tan, Hua; Geng, Huayun Journal of Applied Physics, Vol. 92, Issue 9 https://doi.org/10.1063/1.1510561	journal	November 2002
Equation of State for Nineteen Metallic Elements from Shock‐Wave Measurements to Two Megabars McQueen, R. G.; Marsh, S. P. Journal of Applied Physics, Vol. 31, Issue 7 https://doi.org/10.1063/1.1735815	journal	July 1960
Line-imaging velocimeter for shock diagnostics at the OMEGA laser facility Celliers, P. M.; Bradley, D. K.; Collins, G. W. Review of Scientific Instruments, Vol. 75, Issue 11 https://doi.org/10.1063/1.1807008	journal	November 2004
Ab initio melting curve of molybdenum by the phase coexistence method Cazorla, C.; Gillan, M. J.; Taioli, S. The Journal of Chemical Physics, Vol. 126, Issue 19 https://doi.org/10.1063/1.2735324	journal	May 2007
Nanosecond x-Ray diffraction from polycrystalline and amorphous materials in a pinhole camera geometry suitable for laser shock compression experiments Hawreliak, J.; Lorenzana, H. E.; Remington, B. A. Review of Scientific Instruments, Vol. 78, Issue 8 https://doi.org/10.1063/1.2772210	journal	August 2007
X-ray diffraction measurements of Mo melting to 119 GPa and the high pressure phase diagram Santamaría-Pérez, D.; Ross, M.; Errandonea, D. The Journal of Chemical Physics, Vol. 130, Issue 12 https://doi.org/10.1063/1.3082030	journal	March 2009
A Seeman–Bohlin geometry for high-resolution nanosecond x-ray diffraction measurements from shocked polycrystalline and amorphous materials Milathianaki, D.; Hawreliak, J.; McNaney, J. M. Review of Scientific Instruments, Vol. 80, Issue 9 https://doi.org/10.1063/1.3230647	journal	September 2009
Isothermal compression of bcc transition metals to 100 kbar Ming, Li‐chung; Manghnani, Murli H. Journal of Applied Physics, Vol. 49, Issue 1 https://doi.org/10.1063/1.324325	journal	January 1978
Specific volume measurements of Cu, Mo, Pd, and Ag and calibration of the ruby R ₁ fluorescence pressure gauge from 0.06 to 1 Mbar Mao, H. K.; Bell, P. M.; Shaner, J. W. Journal of Applied Physics, Vol. 49, Issue 6 https://doi.org/10.1063/1.325277	journal	June 1978
Shock compression of tungsten and molybdenum Hixson, R. S.; Fritz, J. N. Journal of Applied Physics, Vol. 71, Issue 4 https://doi.org/10.1063/1.351203	journal	February 1992
Powder diffraction from solids in the terapascal regime Rygg, J. R.; Eggert, J. H.; Lazicki, A. E. Review of Scientific Instruments, Vol. 83, Issue 11 https://doi.org/10.1063/1.4766464	journal	November 2012
Thermal equation of state and thermodynamic properties of molybdenum at high pressures Litasov, Konstantin D.; Dorogokupets, Peter I.; Ohtani, Eiji Journal of Applied Physics, Vol. 113, Issue 9 https://doi.org/10.1063/1.4794127	journal	March 2013
Equation of state of bcc-Mo by static volume compression to 410 GPa Akahama, Yuichi; Hirao, Naohisa; Ohishi, Yasuo Journal of Applied Physics, Vol. 116, Issue 22 https://doi.org/10.1063/1.4903940	journal	December 2014
Solid phase stability of molybdenum under compression: Sound velocity measurements and first-principles calculations Zhang, Xiulu; Liu, Zhongli; Jin, Ke Journal of Applied Physics, Vol. 117, Issue 5 https://doi.org/10.1063/1.4906990	journal	February 2015
Melting of tantalum at high pressure determined by angle dispersive x-ray diffraction in a double-sided laser-heated diamond-anvil cell Errandonea, D.; Somayazulu, M.; Häusermann, D. Journal of Physics: Condensed Matter, Vol. 15, Issue 45 https://doi.org/10.1088/0953-8984/15/45/003	journal	October 2003
Shock-Wave Compressions of Twenty-Seven Metals. Equations of State of Metals Walsh, John M.; Rice, Melvin H.; McQueen, Robert G. Physical Review, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRev.108.196	journal	October 1957
Pressure-induced s → d transfer and the equation of state of molybdenum Godwal, B. K.; Jeanloz, Raymond Physical Review B, Vol. 41, Issue 11 https://doi.org/10.1103/PhysRevB.41.7440	journal	April 1990
Static compression of metals Mo, Pb, and Pt to 272 GPa: Comparison with shock data Vohra, Yogesh K.; Ruoff, Arthur L. Physical Review B, Vol. 42, Issue 13 https://doi.org/10.1103/PhysRevB.42.8651	journal	November 1990
Angular forces and melting in bcc transition metals: A case study of molybdenum Moriarty, John A. Physical Review B, Vol. 49, Issue 18 https://doi.org/10.1103/PhysRevB.49.12431	journal	May 1994
Pressure strengthening: A way to multimegabar static pressures Christensen, Niels E.; Ruoff, Arthur L.; Rodriguez, C. O. Physical Review B, Vol. 52, Issue 13 https://doi.org/10.1103/PhysRevB.52.9121	journal	October 1995
Systematics of transition-metal melting Errandonea, Daniel; Schwager, Beate; Ditz, Reiner Physical Review B, Vol. 63, Issue 13 https://doi.org/10.1103/PhysRevB.63.132104	journal	March 2001
Melting of aluminum, molybdenum, and the light actinides Ross, Marvin; Yang, Lin H.; Boehler, Reinhard Physical Review B, Vol. 70, Issue 18 https://doi.org/10.1103/PhysRevB.70.184112	journal	November 2004
Melting curve of tantalum from first principles Taioli, S.; Cazorla, C.; Gillan, M. J. Physical Review B, Vol. 75, Issue 21 https://doi.org/10.1103/PhysRevB.75.214103	journal	June 2007
Melting of transition metals at high pressure and the influence of liquid frustration: The early metals Ta and Mo Ross, Marvin; Errandonea, Daniel; Boehler, Reinhard Physical Review B, Vol. 76, Issue 18 https://doi.org/10.1103/PhysRevB.76.184118	journal	November 2007
Compression curves of transition metals in the Mbar range: Experiments and projector augmented-wave calculations Dewaele, Agnès; Torrent, Marc; Loubeyre, Paul Physical Review B, Vol. 78, Issue 10 https://doi.org/10.1103/PhysRevB.78.104102	journal	September 2008
Constraints on the phase diagram of molybdenum from first-principles free-energy calculations Cazorla, C.; Alfè, D.; Gillan, M. J. Physical Review B, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevB.85.064113	journal	February 2012
Molybdenum sound velocity and shear modulus softening under shock compression Nguyen, Jeffrey H.; Akin, Minta C.; Chau, Ricky Physical Review B, Vol. 89, Issue 17 https://doi.org/10.1103/PhysRevB.89.174109	journal	May 2014
Comment on “Molybdenum sound velocity and shear modulus softening under shock compression” Errandonea, D.; Boehler, R.; Ross, M. Physical Review B, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevB.92.026101	journal	July 2015
Reply to “Comment on ‘Molybdenum sound velocity and shear modulus softening under shock compression’ ” Nguyen, Jeffrey H.; Akin, Minta C.; Chau, Ricky Physical Review B, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevB.92.026102	journal	July 2015
Sound velocity in shock compressed molybdenum obtained by ab initio molecular dynamics Lukinov, T.; Simak, S. I.; Belonoshko, A. B. Physical Review B, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevB.92.060101	journal	August 2015
Molybdenum at High Pressure and Temperature: Melting from Another Solid Phase Belonoshko, A. B.; Burakovsky, L.; Chen, S. P. Physical Review Letters, Vol. 100, Issue 13 https://doi.org/10.1103/PhysRevLett.100.135701	journal	April 2008
Comment on “Molybdenum at High Pressure and Temperature: Melting from Another Solid Phase” Cazorla, C.; Alfè, D.; Gillan, M. J. Physical Review Letters, Vol. 101, Issue 4 https://doi.org/10.1103/PhysRevLett.101.049601	journal	July 2008
Mikhaylushkin et al. Reply: Mikhaylushkin, A. S.; Simak, S. I.; Burakovsky, L. Physical Review Letters, Vol. 101, Issue 4 https://doi.org/10.1103/PhysRevLett.101.049602	journal	July 2008
Diamond at 800 GPa Bradley, D. K.; Eggert, J. H.; Smith, R. F. Physical Review Letters, Vol. 102, Issue 7 https://doi.org/10.1103/PhysRevLett.102.075503	journal	February 2009
High Melting Points of Tantalum in a Laser-Heated Diamond Anvil Cell Dewaele, Agnès; Mezouar, Mohamed; Guignot, Nicolas Physical Review Letters, Vol. 104, Issue 25 https://doi.org/10.1103/PhysRevLett.104.255701	journal	June 2010
X-Ray Diffraction of Solid Tin to 1.2 TPa Lazicki, A.; Rygg, J. R.; Coppari, F. Physical Review Letters, Vol. 115, Issue 7 https://doi.org/10.1103/PhysRevLett.115.075502	journal	August 2015
Acoustic Velocities and Phase Transitions in Molybdenum under Strong Shock Compression Hixson, R. S.; Boness, D. A.; Shaner, J. W. Physical Review Letters, Vol. 62, Issue 6 https://doi.org/10.1103/PhysRevLett.62.637	journal	February 1989
Absolute Equation of State Measurements on Shocked Liquid Deuterium up to 200 GPa (2 Mbar) Da Silva, L. B.; Celliers, P.; Collins, G. W. Physical Review Letters, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevLett.78.483	journal	January 1997
High-Pressure Melting of Molybdenum Belonoshko, A. B.; Simak, S. I.; Kochetov, A. E. Physical Review Letters, Vol. 92, Issue 19 https://doi.org/10.1103/PhysRevLett.92.195701	journal	May 2004
Melting of Iron at Earth's Inner Core Boundary Based on Fast X-ray Diffraction Anzellini, S.; Dewaele, A.; Mezouar, M. Science, Vol. 340, Issue 6131 https://doi.org/10.1126/science.1233514	journal	April 2013

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Ab initio inspection of thermophysical experiments for molybdenum near melting Minakov, D. V.; Paramonov, M. A.; Levashov, P. R. AIP Advances, Vol. 8, Issue 12 https://doi.org/10.1063/1.5062152	journal	December 2018
Optimized x-ray sources for x-ray diffraction measurements at the Omega Laser Facility Coppari, F.; Smith, R. F.; Thorn, D. B. Review of Scientific Instruments, Vol. 90, Issue 12 https://doi.org/10.1063/1.5111878	journal	December 2019
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