Sound Velocities in Vanadium Reveal Complex Elastic Behavior at High Pressures

Gulick, Brian; Qi, Xintong; Wang, Ran; Li, Baosheng

doi:10.3390/met15040427

Sound Velocities in Vanadium Reveal Complex Elastic Behavior at High Pressures

Journal Article · Thu Apr 10 00:00:00 EDT 2025 · Metals

DOI:https://doi.org/10.3390/met15040427· OSTI ID:2554101

; Qi, Xintong; Wang, Ran; Li, Baosheng

Compressional (VP) and shear (VS) wave velocities of polycrystalline vanadium were measured simultaneously up to 11.5 GPa at room temperature using ultrasonic interferometry in a multi-anvil press. Complex softening behavior in VS and resulting shear moduli are discovered, possibly revealing a precursor to the reported phase transition within 30–60 GPa. The current data enables a comprehensive assessment of the elastic and mechanical properties of vanadium at high pressures, including bulk and shear moduli, Young’s modulus, Poisson’s ratio, and Pugh’s ratio. Through fitting to the 3rd-order finite strain equations, the elastic moduli and their pressure derivatives were determined to be KS0 = 151 (2) GPa, G0 = 46.9 (8) GPa, K’S0 = 3.47 (5), and G’0 = 0.62 (1). These experimental results allow us to compare with and benchmark the existing Steinberg–Guinan models for extrapolations to extreme pressure and temperature conditions.

View Journal Article

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

Grant/Contract Number:: NA0004085

OSTI ID:: 2554101

Journal Information:: Metals, Journal Name: Metals Journal Issue: 4 Vol. 15; ISSN MBSEC7; ISSN 2075-4701

Publisher:: MDPI AGCopyright Statement

Country of Publication:: Switzerland

Language:: English

References (38)

Homogeneity and constitution of the earth's lower mantle and outer core Davies, G. F.; Dziewonski, A. M. Physics of the Earth and Planetary Interiors, Vol. 10, Issue 4 https://doi.org/10.1016/0031-9201(75)90060-6	journal	August 1975
The thermodynamics of several elements at high pressure Karbasi, A.; Saxena, S. K.; Hrubiak, R. Calphad, Vol. 35, Issue 1 https://doi.org/10.1016/j.calphad.2010.11.007	journal	March 2011
Anomalous elastic behavior of tantalum at high pressures: Experimental and theoretical studies Qi, Xintong; Wang, Siheng; Chen, Sibo International Journal of Refractory Metals and Hard Materials, Vol. 101 https://doi.org/10.1016/j.ijrmhm.2021.105691	journal	December 2021
Ab initio calculations of elastic constants of the bcc V–Nb system at high pressures Landa, A.; Klepeis, J.; Söderlind, P. Journal of Physics and Chemistry of Solids, Vol. 67, Issue 9-10 https://doi.org/10.1016/j.jpcs.2006.05.027	journal	September 2006
Instrumented anvil-on-rod impact experiments for validating constitutive strength model for simulating transient dynamic deformation response of metals Martin, M.; Shen, T.; Thadhani, N. N. Materials Science and Engineering: A, Vol. 494, Issue 1-2 https://doi.org/10.1016/j.msea.2008.04.062	journal	October 2008
Study of the Earth’s interior using measurements of sound velocities in minerals by ultrasonic interferometry Li, Baosheng; Liebermann, Robert C. Physics of the Earth and Planetary Interiors, Vol. 233 https://doi.org/10.1016/j.pepi.2014.05.006	journal	August 2014
Phonon triggered rhombohedral lattice distortion in vanadium at high pressure Antonangeli, Daniele; Farber, Daniel L.; Bosak, Alexei Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep31887	journal	August 2016
Multiphase improved Steinberg–Guinan model for vanadium Rudd, Robert E.; Klepeis, John E. Journal of Applied Physics, Vol. 104, Issue 9 https://doi.org/10.1063/1.3013429	journal	November 2008
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
A constitutive model for metals applicable at high‐strain rate Steinberg, D. J.; Cochran, S. G.; Guinan, M. W. Journal of Applied Physics, Vol. 51, Issue 3 https://doi.org/10.1063/1.327799	journal	March 1980
Hugoniot measurements for vanadium Gathers, G. Roger Journal of Applied Physics, Vol. 59, Issue 9 https://doi.org/10.1063/1.336877	journal	May 1986
Phase transition and strength of vanadium under shock compression up to 88 GPa Yu, Yuying; Tan, Ye; Dai, Chengda Applied Physics Letters, Vol. 105, Issue 20 https://doi.org/10.1063/1.4902374	journal	November 2014
Acoustic travel time gauges for in-situ determination of pressure and temperature in multi-anvil apparatus Wang, Xuebing; Chen, Ting; Qi, Xintong Journal of Applied Physics, Vol. 118, Issue 6 https://doi.org/10.1063/1.4928147	journal	August 2015
X-ray diffraction measurements of plasticity in shock-compressed vanadium in the region of 10–70 GPa Foster, J. M.; Comley, A. J.; Case, G. S. Journal of Applied Physics, Vol. 122, Issue 2 https://doi.org/10.1063/1.4994167	journal	July 2017
Orbital localization error of density functional theory in shear properties of vanadium and niobium Wang, Yi X.; Geng, Hua Y.; Wu, Q. The Journal of Chemical Physics, Vol. 152, Issue 2 https://doi.org/10.1063/1.5136052	journal	January 2020
Modified Steinberg–Guinan elasticity model to describe softening–hardening dual anomaly in vanadium Wang, Hao; Gan, Yuan-Chao; Chen, Xiang-Rong Journal of Applied Physics, Vol. 135, Issue 11 https://doi.org/10.1063/5.0175630	journal	March 2024
High-temperature equation of state of vanadium Crichton, W. A.; Guignard, J.; Bailey, E. High Pressure Research, Vol. 36, Issue 1 https://doi.org/10.1080/08957959.2015.1123256	journal	January 2016
XCII. Relations between the elastic moduli and the plastic properties of polycrystalline pure metals Pugh, S. F. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 45, Issue 367 https://doi.org/10.1080/14786440808520496	journal	August 1954
Sound velocity variations and melting of vanadium under shock compression Dai, Chengda; Jin, Xiaogang; Zhou, Xianming Journal of Physics D: Applied Physics, Vol. 34, Issue 20 https://doi.org/10.1088/0022-3727/34/20/310	journal	October 2001
Pressure derivatives of the elastic moduli of BCC Ti-V-Cr, Nb-Mo and Ta-W alloys Katahara, K. W.; Manghnani, M. H.; Fisher, E. S. Journal of Physics F: Metal Physics, Vol. 9, Issue 5 https://doi.org/10.1088/0305-4608/9/5/006	journal	May 1979
Theoretical study on the lattice dynamics and electron phonon interaction of vanadium under high pressures Suzuki, N.; Otani, M. Journal of Physics: Condensed Matter, Vol. 14, Issue 44 https://doi.org/10.1088/0953-8984/14/44/392	journal	October 2002
Sound velocity measurement using transfer function method Li, Baosheng; Chen, Kevin; Kung, Jennifer Journal of Physics: Condensed Matter, Vol. 14, Issue 44 https://doi.org/10.1088/0953-8984/14/44/478	journal	October 2002
Fermi surface nesting and pre-martensitic softening in V and Nb at high pressures Landa, A.; Klepeis, J.; Söderlind, P. Journal of Physics: Condensed Matter, Vol. 18, Issue 22 https://doi.org/10.1088/0953-8984/18/22/008	journal	May 2006
Melting curve and phase diagram of vanadium under high-pressure and high-temperature conditions Errandonea, D.; MacLeod, S. G.; Burakovsky, L. Physical Review B, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevB.100.094111	journal	September 2019
Pressure-induced bcc-rhombohedral phase transition in vanadium metal Stevenson, M. G.; Pace, E. J.; Storm, C. V. Physical Review B, Vol. 103, Issue 13 https://doi.org/10.1103/PhysRevB.103.134103	journal	April 2021
Evidence for mechanical softening-hardening dual anomaly in transition metals from shock-compressed vanadium Wang, Hao; Li, J.; Zhou, X. M. Physical Review B, Vol. 104, Issue 13 https://doi.org/10.1103/PhysRevB.104.134102	journal	October 2021
Elastic Properties of Vanadium. I. Temperature Dependence of the Elastic Constants and the Thermal Expansion Bolef, D. I.; Smith, R. E.; Miller, J. G. Physical Review B, Vol. 3, Issue 12 https://doi.org/10.1103/PhysRevB.3.4100	journal	June 1971
Equation of state of tantalum to 174 GPa Cynn, Hyunchae; Yoo, Choong-Shik Physical Review B, Vol. 59, Issue 13 https://doi.org/10.1103/PhysRevB.59.8526	journal	April 1999
Theoretical confirmation of a high-pressure rhombohedral phase in vanadium metal Lee, Byeongchan; Rudd, Robert E.; Klepeis, John E. Physical Review B, Vol. 75, Issue 18 https://doi.org/10.1103/PhysRevB.75.180101	journal	May 2007
Elastic constants and volume changes associated with two high-pressure rhombohedral phase transformations in vanadium Lee, Byeongchan; Rudd, Robert E.; Klepeis, John E. Physical Review B, Vol. 77, Issue 13 https://doi.org/10.1103/PhysRevB.77.134105	journal	April 2008
Elasticity of the superconducting metals V, Nb, Ta, Mo, and W at high pressure Koči, L.; Ma, Y.; Oganov, A. R. Physical Review B, Vol. 77, Issue 21 https://doi.org/10.1103/PhysRevB.77.214101	journal	June 2008
Electron-phonon interactions and high-temperature thermodynamics of vanadium and its alloys Delaire, O.; Kresch, M.; Muñoz, J. A. Physical Review B, Vol. 77, Issue 21 https://doi.org/10.1103/PhysRevB.77.214112	journal	June 2008
Lattice dynamics of vanadium: Inelastic x-ray scattering measurements Bosak, Alexey; Hoesch, Moritz; Antonangeli, Daniele Physical Review B, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevB.78.020301	journal	July 2008
Structural phase transition in vanadium at high pressure and high temperature: Influence of nonhydrostatic conditions Jenei, Zs.; Liermann, H. P.; Cynn, H. Physical Review B, Vol. 83, Issue 5 https://doi.org/10.1103/PhysRevB.83.054101	journal	February 2011
Structural Phase Transition of Vanadium at 69 GPa Ding, Yang; Ahuja, Rajeev; Shu, Jinfu Physical Review Letters, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevLett.98.085502	journal	February 2007
Variation of Elastic Constants and Static Strains with Hydrostatic Pressure: A Method for Calculation from Ultrasonic Measurements Cook, Richard K. The Journal of the Acoustical Society of America, Vol. 29, Issue 4 https://doi.org/10.1121/1.1908922	journal	April 1957
Ultrasonic Phase Velocity by the Pulse‐Echo‐Overlap Method Incorporating Diffraction Phase Corrections Papadakis, Emmanuel P. The Journal of the Acoustical Society of America, Vol. 42, Issue 5 https://doi.org/10.1121/1.1910688	journal	November 1967
Vanadium Kelley, Karen D.; Scott, Clint; Polyak, Désirée E. USGS Numbered Series https://doi.org/10.3133/pp1802U	report	January 2017

Similar Records

Elasticity of Amorphous Zirconium Tungstate at High Pressure

Journal Article · Mon Dec 31 23:00:00 EST 2007 · Applied Physics Letters · OSTI ID:980176

Experimental and Theoretical Studies on the Elasticity of Molybdenum

Journal Article · Wed Dec 31 23:00:00 EST 2008 · Journal of Applied Physics · OSTI ID:980201

Elasticity of W-Phase Zirconium

Journal Article · Sun Dec 31 23:00:00 EST 2006 · Physical Review B: Condensed Matter and Materials Physics · OSTI ID:960011

Sound Velocities in Vanadium Reveal Complex Elastic Behavior at High Pressures

Citation Formats

References (38)

Similar Records

Related Subjects