High-pressure behavior and thermoelastic properties of niobium studied by in situ x-ray diffraction

Zou, Yongtao; Qi, Xintong; Wang, Xuebing; Chen, Ting; Li, Xuefei; Welch, David; Li, Baosheng

doi:10.1063/1.4887436

High-pressure behavior and thermoelastic properties of niobium studied by in situ x-ray diffraction

Journal Article · Mon Jul 07 04:00:00 EDT 2014 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.4887436· OSTI ID:1466786

Zou, Yongtao ^[1]; Qi, Xintong ^[2]; Wang, Xuebing ^[3]; Chen, Ting ^[3]; Li, Xuefei ^[4]; Welch, David ^[5]; Li, Baosheng ^[6]

State University of New York, Stony Brook, NY (United States). Mineral Physics Institute; Stony Brook University
State University of New York, Stony Brook, NY (United States). Department of Materials Science and Engineering
State University of New York, Stony Brook, NY (United States). Department of Geosciences
State University of New York, Stony Brook, NY (United States). Mineral Physics Institute; Jilin Normal University, Siping (China). Key Laboratory of Functional Materials Physics and Chemistry of the Ministry of Education
State University of New York, Stony Brook, NY (United States). Department of Materials Science and Engineering; Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Department
State University of New York, Stony Brook, NY (United States). Mineral Physics Institute

In this study, in situ synchrotron energy dispersive x-ray diffraction (XRD) experiments on Nb have been conducted at pressures up to 6.4 GPa and temperatures up to 1073 K. From the pressure-volume-temperature measurements, thermoelastic parameters were derived for the first time for Nb based on the thermal pressure (ΔP_th) equation of state (EOS), modified high-T Birch-Murnaghan EOS, and Mie-Grüneisen-Debye EOS. With the pressure derivative of the bulk modulus K'T fixed at 4.0, we obtained the ambient isothermal bulk modulus K_T0 = 174(5) GPa, the temperature derivative of bulk modulus at constant pressure (∂K_T/∂T)_P=-0.060(8) GPa K^-1 and at constant volume (∂K_T/∂T)_V=-0.046(8) GPa K^-1, the volumetric thermal expansivity α_T(T)=2.3(3)×10^-5+0.3(2)×10^-8T (K^-1), as well as the pressure dependence of thermal expansion (∂α/∂P)_T=(-2.0±0.4)×10^-6 K^-1 GPa^-1. Fitting the present data to the Mie-Grüneisen-Debye EOS with Debye temperature Θ₀ = 276.6 K gives γ₀ = 1.27(8) and K_T0 = 171(3) GPa at a fixed value of q = 3.0. The ambient isothermal bulk modulus and Grüneisen parameter derived from this work are comparable to previously reported values from both experimental and theoretical studies. Finally, an in situ high-resolution, angle dispersive XRD study on Nb did not indicate any anomalous behavior related to pressure-induced electronic topological transitions at ~5 GPa as has been reported previously.

View Accepted Manuscript (DOE)

Research Organization:: Stony Brook Univ., NY (United States)

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

Grant/Contract Number:: NA0001815

OSTI ID:: 1466786

Alternate ID(s):: OSTI ID: 22306167
OSTI ID: 1160033
OSTI ID: 1162647

Journal Information:: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 1 Vol. 116; ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (29)

Zur Theorie der spezifischen Wärmen Debye, P. Annalen der Physik, Vol. 344, Issue 14 https://doi.org/10.1002/andp.19123441404	journal	January 1912
A high P-T single-crystal X-ray diffraction study of thermoelasticity of MgSiO3 orthoenstatite Zhao, Yusheng; Schiferl, David; Shankland, ThomasJ. Physics and Chemistry of Minerals, Vol. 22, Issue 6 https://doi.org/10.1007/BF00213337	journal	September 1995
Thermal equation of state of CaIrO3 post-perovskite Liu, Wei; Whitaker, Matthew L.; Liu, Qiong Physics and Chemistry of Minerals, Vol. 38, Issue 5 https://doi.org/10.1007/s00269-010-0414-z	journal	January 2011
Thermal equation of state of Mg3Al2Si3O12 pyrope garnet up to 19 GPa and 1,700 K Zou, Yongtao; Gréaux, Steeve; Irifune, Tetsuo Physics and Chemistry of Minerals, Vol. 39, Issue 7 https://doi.org/10.1007/s00269-012-0514-z	journal	June 2012
Analysis of P-V-T data: constraints on the thermoelastic properties of high-pressure minerals Jackson, Ian; Rigden, Sally M. Physics of the Earth and Planetary Interiors, Vol. 96, Issue 2-3 https://doi.org/10.1016/0031-9201(96)03143-3	journal	August 1996
A universal thermal equation-of-state Anderson, Orson L. Journal of Geodynamics, Vol. 1, Issue 2 https://doi.org/10.1016/0264-3707(84)90027-9	journal	July 1984
The Equation of State of Solids from Shock Wave Studies McQueen, R. G.; Marsh, S. P.; Taylor, J. W. High-Velocity Impact Phenomena https://doi.org/10.1016/B978-0-12-408950-1.50012-4	book	January 1970
Elasticity of (Mg 0.83 ,Fe 0.17 )O ferropericlase at high pressure: ultrasonic measurements in conjunction with X-radiation techniques Kung, Jennifer; Li, Baosheng; Weidner, Donald J. Earth and Planetary Science Letters, Vol. 203, Issue 1 https://doi.org/10.1016/S0012-821X(02)00838-5	journal	October 2002
The role of defects on thermophysical properties: Thermal expansion of V, Nb, Ta, Mo and W Wang, Kai; Reeber, Robert R. Materials Science and Engineering: R: Reports, Vol. 23, Issue 3 https://doi.org/10.1016/S0927-796X(98)00011-4	journal	July 1998
Modern techniques in measuring elasticity of Earth materials at high pressure and high temperature using ultrasonic interferometry in conjunction with synchrotron X-radiation in multi-anvil apparatus Li, Baosheng; Kung, Jennifer; Liebermann, Robert C. Physics of the Earth and Planetary Interiors, Vol. 143-144 https://doi.org/10.1016/j.pepi.2003.09.020	journal	June 2004
Yield strength at high pressure and temperature Weidner, Donald J.; Wang, Yanbin; Vaughan, Michael T. Geophysical Research Letters, Vol. 21, Issue 9 https://doi.org/10.1029/93GL03549	journal	May 1994
Compressional sound velocity, equation of state, and constitutive response of shock-compressed magnesium oxide Duffy, Thomas S.; Ahrens, Thomas J. Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B1 https://doi.org/10.1029/94JB02065	journal	January 1995
Characterization of Stress, Pressure, and Temperature in SAm85, a Dia Type High Pressure Apparatus Weidner, Donald J.; Vaughan, Michael T.; Ko, Jaidong High-Pressure Research: Application to Earth and Planetary Sciences https://doi.org/10.1029/GM067p0013	book	January 1992
Behavior of Grüneisen's parameter of some metals at high pressures Ramakrishnan, J.; Boehler, Reinhard; Higgins, Gary H. Journal of Geophysical Research: Solid Earth, Vol. 83, Issue B7 https://doi.org/10.1029/JB083iB07p03535	journal	July 1978
High‐Pressure Equation of State for NaCl, KCl, and CsCl Decker, D. L. Journal of Applied Physics, Vol. 42, Issue 8 https://doi.org/10.1063/1.1660714	journal	July 1971
Thermal equation of state of copper studied by high P-T synchrotron x-ray diffraction Wang, Yuejian; Zhang, Jianzhong; Xu, Hongwu Applied Physics Letters, Vol. 94, Issue 7 https://doi.org/10.1063/1.3085997	journal	February 2009
Pressure derivatives of the elastic moduli of niobium and tantalum Katahara, K. W.; Manghnani, M. H.; Fisher, E. S. Journal of Applied Physics, Vol. 47, Issue 2 https://doi.org/10.1063/1.322666	journal	February 1976
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
Strength and elasticity of niobium under high pressure Singh, Anil K.; Liermann, Hanns-Peter Journal of Applied Physics, Vol. 109, Issue 11 https://doi.org/10.1063/1.3594748	journal	June 2011
Thermal equation of state and thermodynamic Grüneisen parameter of beryllium metal Zhang, Jianzhong; Zhu, Jinlong; Velisavljevic, Nenad Journal of Applied Physics, Vol. 114, Issue 17 https://doi.org/10.1063/1.4828886	journal	November 2013
Two-dimensional detector software: From real detector to idealised image or two-theta scan Hammersley, A. P.; Svensson, S. O.; Hanfland, M. High Pressure Research, Vol. 14, Issue 4-6, p. 235-248 https://doi.org/10.1080/08957959608201408	journal	January 1996
Calculated thermal properties of metals Moruzzi, V. L.; Janak, J. F.; Schwarz, K. Physical Review B, Vol. 37, Issue 2 https://doi.org/10.1103/PhysRevB.37.790	journal	January 1988
Influence of pseudocore valence-band hybridization on the crystal-structure phase stabilities of transition metals under extreme compressions Ahuja, R.; Söderlind, P.; Trygg, J. Physical Review B, Vol. 50, Issue 19 https://doi.org/10.1103/PhysRevB.50.14690	journal	November 1994
Thermoelastic equation of state of molybdenum Zhao, Yusheng; Lawson, Andrew C.; Zhang, Jiangzhong Physical Review B, Vol. 62, Issue 13 https://doi.org/10.1103/PhysRevB.62.8766	journal	October 2000
High-pressure equation of state for Nb with a helium-pressure medium: Powder x-ray diffraction experiments Kenichi, Takemura; Singh, Anil K. Physical Review B, Vol. 73, Issue 22 https://doi.org/10.1103/PhysRevB.73.224119	journal	June 2006
Thermal equations of state for titanium obtained by high pressure—temperature diffraction studies Zhang, Jianzhong; Zhao, Yusheng; Hixson, Robert S. Physical Review B, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevB.78.054119	journal	August 2008
Effects of High Pressure on the Structure of VH _0.5 and NbH _0.75 Fukizawa, Akira; Fukai, Yuh Journal of the Physical Society of Japan, Vol. 52, Issue 6 https://doi.org/10.1143/JPSJ.52.2102	journal	June 1983
Thermal expansion of periclase and olivine, and their anharmonic properties. Suzuki, Isao Journal of Physics of the Earth, Vol. 23, Issue 2 https://doi.org/10.4294/jpe1952.23.145	journal	January 1975

Cited By (4)

Strong, Ductile, and Thermally Stable bcc-Mg Nanolaminates Pathak, Siddhartha; Velisavljevic, Nenad; Baldwin, J. Kevin Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-08302-5	journal	August 2017
Pressure-induced anomalies and structural instability in compressed β-Sb ₂ O ₃ Zou, Yongtao; Zhang, Wei; Li, Xuefei Physical Chemistry Chemical Physics, Vol. 20, Issue 16 https://doi.org/10.1039/c8cp00084k	journal	January 2018
Thermoelasticity and anomalies in the pressure dependence of phonon velocities in niobium Zou, Yongtao; Li, Ying; Chen, Haiyan Applied Physics Letters, Vol. 112, Issue 1 https://doi.org/10.1063/1.5009617	journal	January 2018
Structure and properties of pseudomorphically transformed bcc Mg in Mg/Nb multilayered nanolaminates studied using synchrotron X-ray diffraction Jain, Manish; Velisavljevic, Nenad; Baldwin, J. Kevin Journal of Applied Physics, Vol. 126, Issue 2 https://doi.org/10.1063/1.5097249	journal	July 2019

Similar Records

High-pressure behavior and thermoelastic properties of niobium studied by in situ x-ray diffraction

Journal Article · Mon Jul 07 00:00:00 EDT 2014 · Journal of Applied Physics · OSTI ID:22306167

P-V-T equation of state of boron carbide

Journal Article · Mon Aug 28 00:00:00 EDT 2023 · Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences · OSTI ID:2006510

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
niobium
pressure
thermoelasticity

High-pressure behavior and thermoelastic properties of niobium studied by in situ x-ray diffraction

Citation Formats

References (29)

Cited By (4)

Similar Records

Related Subjects