2018
DOI: 10.1016/j.actamat.2017.10.035
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Solubility in Zr-Nb alloys from first-principles

Abstract: The thermodynamic properties of the Zr-Nb alloy are investigated at temperatures below 890 K with ab initio calculations. The solution energies of the bcc Nb-rich and hcp Zr-rich solid solutions obtained within the framework of density functional theory are in good agreement with experimental data, although insufficient for a quantitative description of the miscibility gap, for which non configurational entropy has to be accounted for. Whereas electronic free energies can be neglected, we show, using the harmo… Show more

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Cited by 36 publications
(9 citation statements)
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“…The mixing solution energy, Ω α,β mix , of a substitutional B atom in a matrix of A atoms with α or β structure, is obtained as [19],…”
Section: The Energetic Of the Zr-nb System Iv1 Mixing Solution Energymentioning
confidence: 99%
“…The mixing solution energy, Ω α,β mix , of a substitutional B atom in a matrix of A atoms with α or β structure, is obtained as [19],…”
Section: The Energetic Of the Zr-nb System Iv1 Mixing Solution Energymentioning
confidence: 99%
“…Determining the ECIs from site energies thus provides a clear distinction between the chemical and elastic driving forces that control the phase diagrams. This is a great advantage compared with Calphad, which consists of writing the mixing enthalpy as a polynomial function and determining the coefficients from thermodynamic, experimental, or ab initio data [49,50].…”
Section: Thermodynamic Driving Forces Of Alloysmentioning
confidence: 99%
“…The energies of site, and thus the ECIs, allow one to decompose the mixing and permutation enthalpies into chemical contribution [related to local effects that drive short-range order (SRO)] and elastic contribution (related to the variation of the volume with the concentration). This analysis gives a physical content to Calphad-type empirical methods [49,50].…”
Section: Introductionmentioning
confidence: 99%
“…Commonly, quantitative methods to measure Nb content in a Zr matrix have high uncertainty due to the similar atomic structure and the low solubility limit. The large spread in the reported values for Nb content in α-Zr matrix (0.07-0.6 at% [26,27,28]), makes the Nb solubility limit uncertain. It has even been difficult to achieve an accurate estimate using the high resolution of the Atom Probe Tomography technique [9,29,30], because the measurement volume is so small that the representativeness of the bulk sample is lost [31,32].…”
Section: Introductionmentioning
confidence: 99%