Thermal equations of state of the α, β, and ω phases of zirconium
作者： Yusheng Zhao , Jianzhong Zhang , Cristian Pantea , Jiang Qian , Luke L. Daemen
DOI: 10.1103/PHYSREVB.71.184119
关键词:
摘要: We have conducted synchrotron x-ray diffraction studies on high purity zirconium metal at pressures (P) up to 17 GPa and temperatures (T) 973 K. Unit cell volumes (V) were derived from the refinements of data for {alpha}, {beta}, {omega} phases fitted a Birch-Murnaghan equation state with pressure derivative bulk modulus, K{sub 0}{sup '}, fixed 4.0. The thermoelastic parameters {alpha} are isothermal modulus 0}=92(3) GPa, temperature ({partial_derivative}K/{partial_derivative}T){sub P}=-2.3(8)x10{sup -2} GPa/K, volumetric thermal expansivity {alpha}{sub T}=a+bT a=1.5({+-}0.8)x10{sup -5} K{sup -1} b=1.7({+-}1.4)x10{sup -8} -2}, expansion ({partial_derivative}{alpha}/{partial_derivative}P){sub T}=-2.7(9)x10{sup -6} GPa{sup -1}. For {beta} phase we obtained an T}=66(3) K unit-cell volume V(973 K)=47.7(3) A{sup 3} ambient pressure. 0}=90(5) GPa. Within experimental errors, 0} values determined in agreement previous results, whereas all other represent first determinationsmore » three crystalline metal.« less
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