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密度泛函理论中的福克矩阵校正及其在嵌入平均场理论中的应用。

Fock-Matrix Corrections in Density Functional Theory and Use in Embedded Mean-Field Theory.

作者信息

Miyamoto Kaito, Miller Thomas F, Manby Frederick R

机构信息

Centre for Computational Chemistry, School of Chemistry, University of Bristol , Bristol BS8 1TS, United Kingdom.

Division of Chemistry and Chemical Engineering, California Institute of Technology , Pasadena, California 91125, United States.

出版信息

J Chem Theory Comput. 2016 Dec 13;12(12):5811-5822. doi: 10.1021/acs.jctc.6b00685. Epub 2016 Nov 4.

DOI:10.1021/acs.jctc.6b00685
PMID:27749063
Abstract

We introduce Fock-corrected density functional theory (FCDFT), a semiempirical minimal-basis method part way between density-functional tight binding (DFTB) and DFT. FCDFT contains DFTB-like Fock-matrix contributions calculated using simple pairwise formulas and Slater-Koster transformations, but it also contains the full Kohn-Sham treatment of Coulombic electrostatics. The resulting method is better suited than either minimal-basis DFT or DFTB for modeling the low-level subsystem in embedded mean-field theory (EMFT), improving upon the former by correcting for basis-set incompleteness and upon the latter by properly accounting for electrostatics. EMFT calculations using DFT-in-FCDFT have much smaller errors in orbital energies, dipole moments, and reaction energies than our previous DFT-in-DFT calculations.

摘要

我们引入了福克校正密度泛函理论(FCDFT),这是一种介于密度泛函紧束缚(DFTB)和密度泛函理论(DFT)之间的半经验最小基方法。FCDFT包含使用简单成对公式和斯莱特-科斯特变换计算的类似DFTB的福克矩阵贡献,但它也包含对库仑静电的完整科恩-沙姆处理。由此产生的方法比最小基DFT或DFTB更适合于在嵌入式平均场理论(EMFT)中对低层次子系统进行建模,通过校正基组不完整性改进了前者,通过正确考虑静电改进了后者。与我们之前的DFT-in-DFT计算相比,使用DFT-in-FCDFT的EMFT计算在轨道能量、偶极矩和反应能量方面的误差要小得多。

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