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arXiv 1608.05486cond-mat.mtrl-sci
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无缺陷纳米晶体在室温下处于热力学平衡

Defect-free nanocrystals are at thermodynamic equilibrium at room temperature

Faramarz Hossein-Babaei, Hamid Reza Sefidi Shirkoohi

摘要:

晶体缺陷统计是通过最小化缺陷形成的吉布斯自由能来开发的,该吉布斯自由能通常通过应用斯特林近似来转换为与晶粒尺寸无关的方程。该方程的解决方案预测Arrhenius的温度依赖性的浓度的所有缺陷类型,和较高的缺陷人口的纳米晶体由于较小的形成自由能。在这里,我们提高了描述在热力学平衡的缺陷人口的方程的数学处理的准确性,并表明,这个方程本质上是尺寸依赖的。新的模型预测较低的缺陷浓度为较小的微晶,并表明,空位的微晶小于一个确定的临界尺寸在高温下是稳定的。我们的研究结果描述了先前报道的一些纳米晶体的机械性能的数据,并导致许多微观和纳米晶体的形态发生的修订和更深入的理解。

英文摘要:

Crystal defect statistics is developed by minimizing the Gibbs free energy of defect formation, which is commonly converted to a crystallite size-independent equation by applying Stirling's approximation. Solutions of this equation forecast Arrhenius-like temperature dependence for the concentrations of all defect types, and higher defect populations for nanocrystals due to the smaller formation free energies involved. Here, we improve the accuracy in the mathematical processing of the equation describing the defect population at thermodynamic equilibrium and show that this equation is intrinsically size-dependent. The new model predicts lower defect concentrations for smaller crystallites, and shows that vacancy-free crystallites smaller than a determinable critical size are thermodynamically stable at elevated temperatures. Our findings describe the previously reported data on the mechanical properties of a number of nanocrystals and lead to a revised and deeper understanding of many morphological occurrences in micro- and nanocrystals.

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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