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一阶原子碎片方法——密度泛函理论的一种无轨道实现

The first order atomic fragment approach-An orbital-free implementation of density functional theory.

作者信息

Finzel K

机构信息

Faculty of Chemistry and Food Chemistry, Technische Universität Dresden, Bergstraße 66, 01069 Dresden, Germany.

出版信息

J Chem Phys. 2019 Jul 14;151(2):024109. doi: 10.1063/1.5099217.

DOI:10.1063/1.5099217
PMID:31301700
Abstract

An orbital-free implementation of the original Hohenberg-Kohn theorems is presented, making use of the scaling properties from a fictitious Kohn-Sham system, but without reintroducing orbitals. The first order fragment approach does not contain data or parameters that are fitted to the final outcome of the molecular orbital-free calculation and thus represents a parameter-free implementation of orbital-free density functional theory, although it requires the precalculation of atomic data. Consequently, the proposed method is not limited to a specific type of molecule or chemical bonding. The different approximation levels arise from including (first order) or neglecting (zeroth order) the dependency between the potential and the electron density, which in the bifunctional approach are formally treated as independent variables.

摘要

本文提出了原始 Hohenberg-Kohn 定理的无轨道实现方法,该方法利用了虚拟 Kohn-Sham 系统的标度性质,但无需重新引入轨道。一阶片段方法不包含拟合到无分子轨道计算最终结果的数据或参数,因此代表了无轨道密度泛函理论的无参数实现,尽管它需要预先计算原子数据。因此,所提出的方法不限于特定类型的分子或化学键。不同的近似水平源于包含(一阶)或忽略(零阶)势与电子密度之间的相关性,在双功能方法中,它们被形式上视为独立变量。

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引用本文的文献

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Plateaus in the Potentials of Density-Functional Theory: Analytical Derivation and Useful Approximations.密度泛函理论势中的平台:解析推导与有用近似
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2
Deformation Potentials: Towards a Systematic Way beyond the Atomic Fragment Approach in Orbital-Free Density Functional Theory.变形势:超越原子碎片方法的轨道无泛函密度理论的系统方法。
Molecules. 2021 Mar 11;26(6):1539. doi: 10.3390/molecules26061539.
3
Equilibrium Bond Lengths from Orbital-Free Density Functional Theory.
无轨道密度泛函理论的平衡键长。
Molecules. 2020 Apr 13;25(8):1771. doi: 10.3390/molecules25081771.