Abstract The element Vanadium (V) appears unique among alloying elements for providing high strengthening in both the fcc Co-Cr-Fe-Mn-Ni-V and bcc Cr-Mo-Nb-Ta-V-W-Hf-Ti-Zr high-entropy alloy families. The origin of Vanadium’s special role is its atomic volume: large in the fcc alloys and small in the bcc alloys, and thus having a large misfit volume in both crystalline structures. A parameter-free theory applicable to both fcc and bcc HEAs rationalizes this finding, with predictions of strength across a range of fcc and bcc alloys in quantitative and qualitative agreement with experiments. In the fcc class, the analysis demonstrates why the newly-discovered NiCoV and Ni0.632V0.368 alloys have far higher strength than any other fcc alloy and are predicted to be the highest attainable. In the bcc class, the analysis demonstrates that the addition of V always increases the strength relative to the same alloys without V. The optimization of complex alloys for high strength should thus center around the inclusion of V as a primary element at concentration levels of around 25 at.%

中文翻译：

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钒是强化 fcc 和 bcc 高熵合金的最佳元素

摘要 钒 (V) 元素在合金元素中显得独一无二，可在 fcc Co-Cr-Fe-Mn-Ni-V 和 bcc Cr-Mo-Nb-Ta-VW-Hf-Ti-Zr 高强度合金元素中提供高强度。熵合金族。钒的特殊作用的起源是它的原子体积：在 fcc 合金中大而在 bcc 合金中小，因此在两种晶体结构中都有很大的失配体积。适用于 fcc 和 bcc HEAs 的无参数理论使这一发现合理化，预测了一系列 fcc 和 bcc 合金的强度，与实验在定量和定性上一致。在 fcc 类中，分析说明了为什么新发现的 NiCoV 和 Ni0.632V0.368 合金的强度远高于任何其他 fcc 合金，并且预计会达到最高。在密件抄送类中，