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Title: Experimental and first-principles studies on the elastic properties of α-hafnium metal under pressure

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/1.4945106· OSTI ID:1245457

Compressional and shear wave velocities of the a phase of hafnium have been measured up to 10.4GPa at room temperature using ultrasonic interferometry in a multi-anvil apparatus. A finite strain equation of state analysis yielded Ks0 ¼ 110:4 ð5Þ GPa; G0 ¼ 54:7ð5Þ GPa; K0 s0 ¼ 3:7; andG0 0 ¼ 0:6 for the elastic bulk and shear moduli and their pressure derivatives at ambient conditions.Complementary to the experimental data, the single crystal elastic constants, the elastic anisotropy, and the unit cell axial ratio c/a of a-hafnium at high pressures were investigated by Density Functional Theory (DFT) based first principles calculations. A c/a value of 1.605 is predicted for a-Hf at 40GPa, which is in excellent agreement with previous experimental results. The low-pressure derivative of the shear modulus observed in our experimental data up to 10 GPa was found to originate from the elastic constant C44, which exhibits negligible pressure dependence within the current experimental pressure range. At higher pressures (>10GPa), C44 was predicted to soften and the shear wave velocity S trended to decrease with pressure, which can be interpreted as a precursor to the a-x transition similar to that observed in other group IV elements (titanium and zirconium). The acoustic velocities, the bulk and shear moduli, and the acoustic Debye temperature (240.1K) determined from the current experiments were all compared well with those predicted by our theoretical DFT calculations.

Research Organization:
Stony Brook Univ., NY (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0002907; NA0001815
OSTI ID:
1245457
Alternate ID(s):
OSTI ID: 1244607; OSTI ID: 1466776
Journal Information:
Journal of Applied Physics, Vol. 119, Issue 12; ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

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Cited By (2)

Experimental and theoretical studies on the elasticity of tungsten to 13 GPa journal August 2018
Elastic anomalies across phase transitions of praseodymium to 12 GPa journal November 2018

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