Thermal Equations of State of the alpha, beta, and omega Phases of Zirconium
We have conducted synchrotron x-ray diffraction studies on high purity zirconium metal at pressures (P) up to 17 GPa and temperatures (T) up to 973 K. Unit cell volumes (V) were derived from the refinements of x-ray diffraction data for the {alpha}, {beta}, and {omega} phases of zirconium and fitted to a Birch-Murnaghan equation of state with the pressure derivative of the bulk modulus, K{sub 0}{prime}, fixed at 4.0. The derived thermoelastic parameters for {alpha} zirconium are isothermal bulk modulus K{sub 0}=92(3) GPa, temperature derivative of bulk modulus ({partial_derivative}K/{partial_derivative}T)P=-2.3(8)x10{sup -2} GPa/K, volumetric thermal expansivity {alpha}{sub T=a+bT} with a=1.5({+-}0.8)x10{sup -5} K{sup -1} and b=1.7({+-}1.4)x10{sup -8} K{sup -2}, and the pressure derivative of thermal expansion ({partial_derivative}{alpha}/{partial_derivative}P)T=-2.7(9)x10{sup -6} GPa{sup -1} K{sup -1}. For the {beta} phase we obtained an isothermal bulk modulus of K{sub T}=66(3) GPa at 973 K and a unit-cell volume of V(973 K)=47.7(3) Angstroms{sup 3} at ambient pressure. For the {omega} zirconium we obtained K{sub 0}=90(5) GPa. Within the experimental errors, the K0 values we determined for the {alpha} and {omega} phases and volumetric thermal expansion for the {alpha} phase are in agreement with previous experimental results, whereas all other thermoelastic parameters represent the first determinations for the three crystalline phases of zirconium metal.
- Research Organization:
- Brookhaven National Laboratory (BNL) National Synchrotron Light Source
- Sponsoring Organization:
- Doe - Office Of Science
- DOE Contract Number:
- AC02-98CH10886
- OSTI ID:
- 913799
- Report Number(s):
- BNL--78367-2007-JA
- Journal Information:
- Phys. Rev. B, Journal Name: Phys. Rev. B Vol. 71; ISSN PRBMDO; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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