论文标题

K点密度密度功能理论中材料特性的不确定性定量

Uncertainty Quantification for Materials Properties in Density Functional Theory with k-Point Density

论文作者

Gabriel, Joshua J., Congo, Faical Yannick C., Sinnott, Alexander, Mathew, Kiran, Allison, Thomas C., Tavazza, Francesca, Hennig, Richard G.

论文摘要

在过去的五年中,许多计算数据库出现了,报告了用密度功能理论计算出的材料属性。这些数据库中的属性通常是根据选择基集和Brillouin区域集成的K点密度设置的精度计算的。我们确定了从三个共同结构中的29个过渡金属和铝(FCC,BCC和HCP)中从状态的桦木方程获得的特性的精度与K点密度和能量的精度有关。我们表明,按照近似的功率定律,我们表明平衡体积,散装模量和散装模量的压力衍生物与K点密度和能量的精度相对良好。我们建议K点密度作为收敛参数,因为它具有计算有效的,易于用作直接输入参数,并且至少与属性精度以及能量精度相关。我们预测,高吞吐量DFT数据库中的常见K点密度选择会导致体积为0.1%,大量模量为1%和压力导数的精度为10%。

Many computational databases emerged over the last five years that report material properties calculated with density functional theory. The properties in these databases are commonly calculated to a precision that is set by choice of the basis set and the k-point density for the Brillouin zone integration. We determine how the precision of properties obtained from the Birch equation of state for 29 transition metals and aluminum in the three common structures -- fcc, bcc, and hcp -- correlate with the k-point density and the precision of the energy. We show that the precision of the equilibrium volume, bulk modulus, and the pressure derivative of the bulk modulus correlate comparably well with the k-point density and the precision of the energy, following an approximate power law. We recommend the k-point density as the convergence parameter because it is computationally efficient, easy to use as a direct input parameter, and correlates with property precision at least as well as the energy precision. We predict that common k-point density choices in high throughput DFT databases result in precision for the volume of 0.1%, the bulk modulus of 1%, and the pressure derivative of 10%.

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