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arXiv 0902.2958cond-mat.mtrl-sci
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碱金属和碱土金属在Mg-B合金中的第一性原理溶解度

First-principle solubilities of alkali and alkaline earth metals in Mg-B alloys

Roman Chepulskii, Stefano Curtarolo

摘要:

通过设计一个新的框架,我们对碱金属(Li,Na,K,Rb,Cs)和碱土金属(Be,Ca,Sr,Ba)在富硼Mg-B体系中的溶解度进行了全面的理论研究。本研究基于第一性原理计算MgB $_2$、MgB $_4$、MgB $_7$合金中溶质的形成能,并随后对溶解度进行了热力学-热力学评价。该方法的优点在于考虑了三元相图中所有已知的相边界。取代的Na、Ca和Li表现出最大的溶解度,并且Na具有最高的溶解度(在$T=650-1000$ K下在MgB $_7$中为0.5- 1%)。所有考虑的物质都具有可忽略的溶解度。Be在MgB $_7$中的溶解度不能确定,因为相应的低溶解度形成能为负,表明存在未知的三元基态。我们对Mg-B、Mg- $A$和B- $A$二元体系的基态进行了高通量搜索,并基于稳定的二元相构建了Mg-B- $A$合金的三元相图。尽管它的高温观测,我们发现,Sr $_{9}$ Mg $_{38}$是不是一个低温平衡结构。我们还确定了两个新的可能的基态CaB $_{4}$和RbB $_{4}$,尚未观察到的实验。

英文摘要:

By devising a novel framework, we present a comprehensive theoretical study of solubilities of alkali (Li, Na, K, Rb, Cs) and alkaline earth (Be, Ca, Sr, Ba) metals in the he boron-rich Mg-B system. The study is based on first-principle calculations of solutes formation energies in MgB$_2$, MgB$_4$, MgB$_7$ alloys and subsequent statistical-thermodynamical evaluation of solubilities. The advantage of the approach consists in considering all the known phase boundaries in the ternary phase diagram. Substitutional Na, Ca, and Li demonstrate the largest solubilities, and Na has the highest (0.5-1 % in MgB$_7$ at $T=650-1000$ K). All the considered interstitials have negligible solubilities. The solubility of Be in MgB$_7$ can not be determined because the corresponding low-solubility formation energy is negative indicating the existence of an unknown ternary ground state. We have performed a high-throughput search of ground states in binary Mg-B, Mg-$A$, and B-$A$ systems, and we construct the ternary phase diagrams of Mg-B-$A$ alloys based on the stable binary phases. Despite its high temperature observations, we find that Sr$_{9}$Mg$_{38}$ is not a low-temperature equilibrium structure. We also determine two new possible ground states CaB$_{4}$ and RbB$_{4}$, not yet observed experimentally.

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