Melting anisotropy in crystalline solids

Renganathan, P.; Gupta, Y. M.

doi:10.1103/physrevb.109.l060102

Title: Melting anisotropy in crystalline solids

Journal Article · 08 February 2024 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.109.l060102 · OSTI ID:2318524

^[1];

^[2]

Washington State University, Pullman, WA (United States); Washington State University, Institute for Shock Physics
Washington State University, Pullman, WA (United States)

Despite the long and extensive history of melting studies, experiments to determine the dependence of melting on crystal orientation are lacking. Using longitudinal sound speed measurements in aluminum single crystals shock compressed along < 100 > and < 110 > to 168 GPa, we address this need and show that the melting transition (both onset and completion) is strongly anisotropic. Furthermore, the present findings demonstrate the need to consider the role of deformation induced lattice defects on the melting transition and provide a general approach to examine melting anisotropy in crystalline solids.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Washington State University, Pullman, WA (United States)

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

Grant/Contract Number:: NA0003957

OSTI ID:: 2318524

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 6 Vol. 109; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (84)

The physics of melting Cotterill, R. M. J. Journal of Crystal Growth, Vol. 48, Issue 4 https://doi.org/10.1016/0022-0248(80)90269-9	journal	April 1980
Temperature dependence of the elastic constants of aluminum Tallon, J. L.; Wolfenden, A. Journal of Physics and Chemistry of Solids, Vol. 40, Issue 11 https://doi.org/10.1016/0022-3697(79)90037-4	journal	January 1979
Melting of aluminium: A model potential approach up to 2 megabars Pélissier, J. L. Physica A: Statistical Mechanics and its Applications, Vol. 128, Issue 1-2 https://doi.org/10.1016/0378-4371(84)90098-0	journal	November 1984
Theoretical equation of state for aluminum Kerley, G. I. International Journal of Impact Engineering, Vol. 5, Issue 1-4 https://doi.org/10.1016/0734-743X(87)90059-5	journal	January 1987
Melting curve of aluminum in a diamond cell to 0.8 Mbar: implications for iron Boehler, Reinhard; Ross, Marvin Earth and Planetary Science Letters, Vol. 153, Issue 3-4 https://doi.org/10.1016/S0012-821X(97)00188-X	journal	December 1997
Analysis of dislocation mechanism for melting of elements Burakovsky, L.; Preston, D. L. Solid State Communications, Vol. 115, Issue 7 https://doi.org/10.1016/S0038-1098(00)00190-3	journal	July 2000
High pressure melting and equation of state of aluminium Hänström, A.; Lazor, P. Journal of Alloys and Compounds, Vol. 305, Issue 1-2 https://doi.org/10.1016/S0925-8388(00)00736-2	journal	June 2000
The mechanical and microstructural response of single crystal aluminium to one dimensional shock loading: The effects of orientation Millett, J. C. F.; Fensin, S. J.; Owen, G. D. Acta Materialia, Vol. 246 https://doi.org/10.1016/j.actamat.2023.118727	journal	March 2023
Atomistic simulations on the dynamic properties of shock and release melting in single crystal Al Shao, Jian-Li; He, An-Min; Wang, Pei Computational Materials Science, Vol. 151 https://doi.org/10.1016/j.commatsci.2018.04.052	journal	August 2018
A thermodynamic analysis of hypervelocity impacts on metals Nuttall, Andrew; Close, Sigrid International Journal of Impact Engineering, Vol. 144 https://doi.org/10.1016/j.ijimpeng.2020.103645	journal	October 2020
The anisotropy of shock-induced melting of Pt observed in molecular dynamics simulations Liu, Zhong-Li; Yang, Jie-Hui; Zhao, Zhi-Guo Physics Letters A, Vol. 374, Issue 13-14 https://doi.org/10.1016/j.physleta.2010.01.063	journal	March 2010
Melting and superheating of crystalline solids: From bulk to nanocrystals Mei, Q. S.; Lu, K. Progress in Materials Science, Vol. 52, Issue 8 https://doi.org/10.1016/j.pmatsci.2007.01.001	journal	November 2007
The physical process of melting and freezing Garai, Jozsef Solid State Communications, Vol. 150, Issue 35-36 https://doi.org/10.1016/j.ssc.2010.06.017	journal	September 2010
Multi-phase equation of state for aluminum Lomonosov, I. V. Laser and Particle Beams, Vol. 25, Issue 4 https://doi.org/10.1017/S0263034607000687	journal	December 2007
Sound Velocities in Shock‐Synthesized Stishovite to 72 GPa Berryman, Eleanor J.; Winey, J. M.; Gupta, Yogendra M. Geophysical Research Letters, Vol. 46, Issue 23 https://doi.org/10.1029/2019GL085301	journal	December 2019
Phase transitions, Grüneisen parameter, and elasticity for shocked iron between 77 GPa and 400 GPa Brown, J. Michael; McQueen, Robert G. Journal of Geophysical Research: Solid Earth, Vol. 91, Issue B7 https://doi.org/10.1029/JB091iB07p07485	journal	June 1986
Hugoniot equation of state of twelve rocks McQueen, R. G.; Marsh, S. P.; Fritz, J. N. Journal of Geophysical Research, Vol. 72, Issue 20 https://doi.org/10.1029/JZ072i020p04999	journal	October 1967
Anisotropy of melting for cubic metals Chatterjee, B. Nature, Vol. 275, Issue 5677 https://doi.org/10.1038/275203a0	journal	September 1978
Materials science: Melting and the surface Cahn, Robert W. Nature, Vol. 323, Issue 6090 https://doi.org/10.1038/323668a0	journal	October 1986
Melting of iron at the physical conditions of the Earth's core Nguyen, Jeffrey H.; Holmes, Neil C. Nature, Vol. 427, Issue 6972 https://doi.org/10.1038/nature02248	journal	January 2004
Solid–liquid iron partitioning in Earth’s deep mantle Andrault, Denis; Petitgirard, Sylvain; Lo Nigro, Giacomo Nature, Vol. 487, Issue 7407 https://doi.org/10.1038/nature11294	journal	July 2012
Pressure–temperature evolution of primordial solar system solids during impact-induced compaction Bland, P. A.; Collins, G. S.; Davison, T. M. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms6451	journal	December 2014
Cold melting and solid structures of dense lithium Guillaume, Christophe L.; Gregoryanz, Eugene; Degtyareva, Olga Nature Physics, Vol. 7, Issue 3 https://doi.org/10.1038/nphys1864	journal	January 2011
Pressure promoted low-temperature melting of metal–organic frameworks Widmer, Remo N.; Lampronti, Giulio I.; Anzellini, Simone Nature Materials, Vol. 18, Issue 4 https://doi.org/10.1038/s41563-019-0317-4	journal	March 2019
Melting curve of superionic ammonia at planetary interior conditions Hernandez, J. -A.; Bethkenhagen, M.; Ninet, S. Nature Physics, Vol. 19, Issue 9 https://doi.org/10.1038/s41567-023-02074-8	journal	May 2023
In situ characterization of the high pressure – high temperature melting curve of platinum Anzellini, Simone; Monteseguro, Virginia; Bandiello, Enrico Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-49676-y	journal	September 2019
Characterization of the high-pressure and high-temperature phase diagram and equation of state of chromium Anzellini, Simone; Errandonea, Daniel; Burakovsky, Leonid Scientific Reports, Vol. 12, Issue 1 https://doi.org/10.1038/s41598-022-10523-2	journal	April 2022
Shock induced melting in aluminum: Wave profile measurements Chhabildas, Lalit C. AIP Conference Proceedings https://doi.org/10.1063/1.1303430	conference	January 2000
Equation-of-state measurements for aluminum, copper, and tantalum in the pressure range 80–440 GPa (0.8–4.4 Mbar) Nellis, W. J.; Mitchell, A. C.; Young, D. A. Journal of Applied Physics, Vol. 93, Issue 1 https://doi.org/10.1063/1.1529071	journal	January 2003
Laser interferometer for measuring high velocities of any reflecting surface Barker, L. M.; Hollenbach, R. E. Journal of Applied Physics, Vol. 43, Issue 11 https://doi.org/10.1063/1.1660986	journal	November 1972
Pure Modes for Elastic Waves in Crystals Brugger, K. Journal of Applied Physics, Vol. 36, Issue 3 https://doi.org/10.1063/1.1714215	journal	March 1965
Thermodynamics of Crystals and Melting Born, Max The Journal of Chemical Physics, Vol. 7, Issue 8 https://doi.org/10.1063/1.1750497	journal	August 1939
Compact system for high-speed velocimetry using heterodyne techniques Strand, O. T.; Goosman, D. R.; Martinez, C. Review of Scientific Instruments, Vol. 77, Issue 8 https://doi.org/10.1063/1.2336749	journal	August 2006
Reshock and release response of aluminum single crystal Huang, H.; Asay, J. R. Journal of Applied Physics, Vol. 101, Issue 6 https://doi.org/10.1063/1.2655571	journal	March 2007
Shock compression of aluminum, copper, and tantalum Mitchell, A. C.; Nellis, W. J. Journal of Applied Physics, Vol. 52, Issue 5 https://doi.org/10.1063/1.329160	journal	May 1981
The melting curve of ten metals up to 12 GPa and 1600 K Errandonea, Daniel Journal of Applied Physics, Vol. 108, Issue 3 https://doi.org/10.1063/1.3468149	journal	August 2010
Shock compression and unloading response of 1050 aluminum to 70 GPA Choudhuri, Deep; Gupta, Yogendra M. SHOCK COMPRESSION OF CONDENSED MATTER - 2011: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3686388	conference	January 2012
Unloading and reloading response of shocked aluminum single crystals: Time-dependent anisotropic material description Winey, J. M.; Johnson, J. N.; Gupta, Y. M. Journal of Applied Physics, Vol. 112, Issue 9 https://doi.org/10.1063/1.4765012	journal	November 2012
Theory and experiments characterizing hypervelocity impact plasmas on biased spacecraft materials Lee, Nicolas; Close, Sigrid; Goel, Ashish Physics of Plasmas, Vol. 20, Issue 3 https://doi.org/10.1063/1.4794331	journal	March 2013
Shock compression of aluminum single crystals to 70 GPa: Role of crystalline anisotropy Choudhuri, D.; Gupta, Y. M. Journal of Applied Physics, Vol. 114, Issue 15 https://doi.org/10.1063/1.4824825	journal	October 2013
Quantum molecular dynamics simulation of shock-wave experiments in aluminum Minakov, D. V.; Levashov, P. R.; Khishchenko, K. V. Journal of Applied Physics, Vol. 115, Issue 22 https://doi.org/10.1063/1.4882299	journal	June 2014
Determining the refractive index of shocked [100] lithium fluoride to the limit of transmissibility Rigg, P. A.; Knudson, M. D.; Scharff, R. J. Journal of Applied Physics, Vol. 116, Issue 3 https://doi.org/10.1063/1.4890714	journal	July 2014
Shock wave compression and release of hexagonal-close-packed metal single crystals: Inelastic deformation of c -axis magnesium Winey, J. M.; Renganathan, P.; Gupta, Y. M. Journal of Applied Physics, Vol. 117, Issue 10 https://doi.org/10.1063/1.4914525	journal	March 2015
Shock compression and release of a -axis magnesium single crystals: Anisotropy and time dependent inelastic response Renganathan, P.; Winey, J. M.; Gupta, Y. M. Journal of Applied Physics, Vol. 121, Issue 3 https://doi.org/10.1063/1.4974365	journal	January 2017
Spall behaviour of single crystal aluminium at three principal orientations Owen, G. D.; Chapman, D. J.; Whiteman, G. Journal of Applied Physics, Vol. 122, Issue 15 https://doi.org/10.1063/1.4999559	journal	October 2017
Shock compression/release of magnesium single crystals along a low-symmetry orientation: Role of basal slip Renganathan, P.; Gupta, Y. M. Journal of Applied Physics, Vol. 126, Issue 11 https://doi.org/10.1063/1.5116822	journal	September 2019
Hugoniot states and optical response of soda lime glass shock compressed to 120 GPa Renganathan, P.; Duffy, T. S.; Gupta, Y. M. Journal of Applied Physics, Vol. 127, Issue 20 https://doi.org/10.1063/5.0010396	journal	May 2020
Sound speed measurements in lithium fluoride single crystals shock compressed to 168 GPa along [100] Wallace, M. K.; Winey, J. M.; Gupta, Y. M. Journal of Applied Physics, Vol. 130, Issue 3 https://doi.org/10.1063/5.0056659	journal	July 2021
Quantitative measurements of density in shock-compressed silver up to 330 GPa using x-ray diffraction Coleman, Amy L.; Singh, Saransh; Vennari, Cara E. Journal of Applied Physics, Vol. 131, Issue 1 https://doi.org/10.1063/5.0072208	journal	January 2022
Very high-temperature impact melt products as evidence for cosmic airbursts and impacts 12,900 years ago Bunch, T. E.; Hermes, R. E.; Moore, A. M. T. Proceedings of the National Academy of Sciences, Vol. 109, Issue 28 https://doi.org/10.1073/pnas.1204453109	journal	June 2012
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
Theory of Melting Kuhlmann-Wilsdorf, Doris Physical Review, Vol. 140, Issue 5A https://doi.org/10.1103/PhysRev.140.A1599	journal	November 1965
Equation of State of Metals from Shock Wave Measurements Walsh, John M.; Christian, Russell H. Physical Review, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRev.97.1544	journal	March 1955
Shock compression of silver to 300 GPa: Wave profile measurements and melting transition Wallace, M. K.; Winey, J. M.; Gupta, Y. M. Physical Review B, Vol. 104, Issue 1 https://doi.org/10.1103/PhysRevB.104.014101	journal	July 2021
Sound velocities in shock-compressed soda lime glass: Melting and liquid-state response Renganathan, P.; Duffy, T. S.; Gupta, Y. M. Physical Review B, Vol. 104, Issue 1 https://doi.org/10.1103/PhysRevB.104.014113	journal	July 2021
Sound speed measurements in silver shock compressed to 300 GPa: Solid-state transition, melting, and liquid-state response Wallace, M. K.; Winey, J. M.; Gupta, Y. M. Physical Review B, Vol. 104, Issue 21 https://doi.org/10.1103/PhysRevB.104.214106	journal	December 2021
Shock-induced melting of [100] lithium fluoride: Sound speed and Hugoniot measurements to 230 GPa Hawreliak, J. A.; Winey, J. M.; Toyoda, Y. Physical Review B, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRevB.107.014104	journal	January 2023
Theoretical study of the aluminum melting curve to very high pressure Moriarty, John A.; Young, David A.; Ross, Marvin Physical Review B, Vol. 30, Issue 2 https://doi.org/10.1103/PhysRevB.30.578	journal	July 1984
Extended and accurate determination of the melting curves of argon, helium, ice ( H 2 O ) , and hydrogen ( H 2 ) Datchi, Frédéric; Loubeyre, Paul; LeToullec, René Physical Review B, Vol. 61, Issue 10 https://doi.org/10.1103/PhysRevB.61.6535	journal	March 2000
Test of a theoretical equation of state for elemental solids and liquids Chisolm, Eric D.; Crockett, Scott D.; Wallace, Duane C. Physical Review B, Vol. 68, Issue 10 https://doi.org/10.1103/PhysRevB.68.104103	journal	September 2003
Atomistic simulations of shock-induced transformations and their orientation dependence in bcc Fe single crystals Kadau, Kai; Germann, Timothy C.; Lomdahl, Peter S. Physical Review B, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevB.72.064120	journal	August 2005
Shock melting of cerium Jensen, B. J.; Cherne, F. J.; Cooley, J. C. Physical Review B, Vol. 81, Issue 21 https://doi.org/10.1103/PhysRevB.81.214109	journal	June 2010
Multiphase aluminum equations of state via density functional theory Sjostrom, Travis; Crockett, Scott; Rudin, Sven Physical Review B, Vol. 94, Issue 14 https://doi.org/10.1103/PhysRevB.94.144101	journal	October 2016
Absolute measurement of the Hugoniot and sound velocity of liquid copper at multimegabar pressures McCoy, Chad A.; Knudson, Marcus D.; Root, Seth Physical Review B, Vol. 96, Issue 17 https://doi.org/10.1103/PhysRevB.96.174109	journal	November 2017
Structural transformations including melting and recrystallization during shock compression and release of germanium up to 45 GPa Renganathan, P.; Turneaure, Stefan J.; Sharma, Surinder M. Physical Review B, Vol. 99, Issue 13 https://doi.org/10.1103/PhysRevB.99.134101	journal	April 2019
Evolution of Shock-Induced Orientation-Dependent Metastable States in Crystalline Aluminum Budzevich, Mikalai M.; Zhakhovsky, Vasily V.; White, Carter T. Physical Review Letters, Vol. 109, Issue 12 https://doi.org/10.1103/PhysRevLett.109.125505	journal	September 2012
Twinning and Dislocation Evolution during Shock Compression and Release of Single Crystals: Real-Time X-Ray Diffraction Turneaure, Stefan J.; Renganathan, P.; Winey, J. M. Physical Review Letters, Vol. 120, Issue 26 https://doi.org/10.1103/PhysRevLett.120.265503	journal	June 2018
Measurement of Body-Centered Cubic Gold and Melting under Shock Compression Briggs, R.; Coppari, F.; Gorman, M. G. Physical Review Letters, Vol. 123, Issue 4 https://doi.org/10.1103/PhysRevLett.123.045701	journal	July 2019
Structural Transformation and Melting in Gold Shock Compressed to 355 GPa Sharma, Surinder M.; Turneaure, Stefan J.; Winey, J. M. Physical Review Letters, Vol. 123, Issue 4 https://doi.org/10.1103/PhysRevLett.123.045702	journal	July 2019
Crystal Structure and Melting of Fe Shock Compressed to 273 GPa: In Situ X-Ray Diffraction Turneaure, Stefan J.; Sharma, Surinder M.; Gupta, Y. M. Physical Review Letters, Vol. 125, Issue 21 https://doi.org/10.1103/PhysRevLett.125.215702	journal	November 2020
Crystal-Face Dependence of Surface Melting Pluis, B.; van der Gon, A. W. Denier; Frenken, J. W. M. Physical Review Letters, Vol. 59, Issue 23 https://doi.org/10.1103/PhysRevLett.59.2678	journal	December 1987
Melting of LiF and NaCl to 1 Mbar: Systematics of Ionic Solids at Extreme Conditions Boehler, Reinhard; Ross, Marvin; Boercker, David B. Physical Review Letters, Vol. 78, Issue 24 https://doi.org/10.1103/PhysRevLett.78.4589	journal	June 1997
Orientation Dependence in Molecular Dynamics Simulations of Shocked Single Crystals Germann, Timothy C.; Holian, Brad Lee; Lomdahl, Peter S. Physical Review Letters, Vol. 84, Issue 23 https://doi.org/10.1103/PhysRevLett.84.5351	journal	June 2000
Melting Mechanisms at the Limit of Superheating Jin, Z. H.; Gumbsch, P.; Lu, K. Physical Review Letters, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevLett.87.055703	journal	July 2001
Slip competition and rotation suppression in tantalum and copper during dynamic uniaxial compression Heighway, P. G.; Wark, J. S. Physical Review Materials, Vol. 6, Issue 4 https://doi.org/10.1103/PhysRevMaterials.6.043605	journal	April 2022
Real-Time Observation of Stacking Faults in Gold Shock Compressed to 150 GPa Sharma, Surinder M.; Turneaure, Stefan J.; Winey, J. M. Physical Review X, Vol. 10, Issue 1 https://doi.org/10.1103/PhysRevX.10.011010	journal	January 2020
Phase transitions under shock-wave loading Duvall, G. E.; Graham, R. A. Reviews of Modern Physics, Vol. 49, Issue 3 https://doi.org/10.1103/RevModPhys.49.523	journal	July 1977
Diamond anvil cell and high-pressure physical investigations Jayaraman, A. Reviews of Modern Physics, Vol. 55, Issue 1, p. 65-108 https://doi.org/10.1103/RevModPhys.55.65	journal	January 1983
History of the search for continuous melting Dash, J. G. Reviews of Modern Physics, Vol. 71, Issue 5 https://doi.org/10.1103/RevModPhys.71.1737	journal	October 1999
Real-time (nanoseconds) determination of liquid phase growth during shock-induced melting Renganathan, Pritha; Sharma, Surinder M.; Turneaure, Stefan J. Science Advances, Vol. 9, Issue 8 https://doi.org/10.1126/sciadv.ade5745	journal	February 2023
Deep Impact: Excavating Comet Tempel 1 A'Hearn, M. F. Science, Vol. 310, Issue 5746 https://doi.org/10.1126/science.1118923	journal	October 2005
Microscopic mechanisms of equilibrium melting of a solid Samanta, A.; Tuckerman, M. E.; Yu, T. -Q. Science, Vol. 346, Issue 6210 https://doi.org/10.1126/science.1253810	journal	November 2014
Shock Melting of the Canyon Diablo Impactor: Constraints from Nickel-59 Contents and Numerical Modeling Schnabel, C.; Pierazzo, E.; Xue, S. Science, Vol. 285, Issue 5424 https://doi.org/10.1126/science.285.5424.85	journal	July 1999
Ejecta Formation, Early Collisional Processes, and Dynamical Evolution after the DART Impact on Dimorphos Ferrari, Fabio; Raducan, Sabina D.; Soldini, Stefania The Planetary Science Journal, Vol. 3, Issue 7 https://doi.org/10.3847/PSJ/ac7cf0	journal	July 2022

Similar Records

Sound speed measurements in lithium fluoride single crystals shock compressed to 168 GPa along [100]

Journal Article · 2021 · Journal of Applied Physics · OSTI ID:1818134

Wallace, M. K.; Winey, J. M.; Gupta, Y. M.

Sound velocities in shock-compressed soda lime glass: Melting and liquid-state response

Journal Article · 2021 · Physical Review B · OSTI ID:1818142

Renganathan, P.; Duffy, T. S.; Gupta, Y. M.

Shock-induced melting of [100] lithium fluoride: Sound speed and Hugoniot measurements to 230 GPa

Journal Article · 2023 · Physical Review. B · OSTI ID:1924540

Hawreliak, James A.; Winey, J. M.; Toyoda, Y.; +2 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Crystal melting
Hugoniot measurements
Interferometry
Liquid-solid phase transition
Phase diagrams
Shock waves
Single crystal materials

Title: Melting anisotropy in crystalline solids

Citation Formats

References (84)

Similar Records

Related Subjects