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arXiv 1608.00720cond-mat.mtrl-sci
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声子和电子激发对固体中缺陷团簇自由能的影响:第一性原理研究

Influence of phonon and electron excitations on the free energy of defect clusters in solids: A first-principles study

M. Posselt, D. Murali, M. Schiwarth

摘要:

虽然固体中纳米结构演化的许多过程发生在高温下,但从基态能量学获得的基本数据用于这些现象的建模。为了说明声子和电子激发对缺陷团簇自由结合能的影响,采用第一性原理计算对bcc Fe中的空位-溶质对以及空位和Cu的二聚体、三聚体和四聚体进行了计算.基于等体积(CV)和零压(ZP)条件下含缺陷超原胞在基态的弛豫所确定的平衡原子位置,在简谐近似的框架下计算了声子激发对自由结合能的贡献.电子激发的贡献是使用相应的基态数据的电子态密度。准谐波校正的ZP为基础的结果不产生显着的变化,在相关的应用程序的温度范围内。在1000 K的最大减少/增加的ZP为基础的数据的自由结合能的绝对值相对于相应的基态值被发现的空位-W(43%)/空位-Mn(35%)对。这些结果清楚地表明声子和电子激发对缺陷团簇自由结合能的贡献通常是不可忽略的。空位和铜二聚体、三聚体和四聚体的自由结合能的一般行为与空位-溶质对的自由结合能的一般行为相似。所得结果对研究固体中缺陷团簇的热力学和动力学具有普遍意义。

英文摘要:

Although many processes of nanostructure evolution in solids occur at elevated temperatures, basic data obtained from ground state energetics are used in the modeling of these phenomena. In order to illustrate the effect of phonon and electron excitations on the free binding energy of defect clusters, first-principles calculations are performed for vacancy-solute pairs as well as vacancy and Cu dimers, trimers, and quadromers in bcc Fe. Based on the equilibrium atomic positions determined by the relaxation of the supercell with the defect in the ground state under constant volume (CV) as well as zero pressure (ZP) conditions, the contribution of phonon excitations to the free binding energy is calculated within the framework of the harmonic approximation. The contribution of electron excitations is obtained using the corresponding ground state data for the electronic density of states. Quasi-harmonic corrections to the ZP-based results do not yield significant changes in the temperature range relevant for applications. At 1000 K the maximum decrease/increase of the ZP-based data for the absolute value of the free binding energy with respect to the corresponding ground state value is found for the vacancy-W (43%) / vacancy-Mn (35%) pair. These results clearly demonstrate that contributions of phonon and electron excitation to the free binding energy of the defect clusters are generally not negligible. The general behavior of the free binding energy of vacancy and Cu dimers, trimers and quadromers is similar to that of the vacancy-solute pairs. The results obtained in this work are of general importance for studies on the thermodynamics and kinetics of defect clusters in solids.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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