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arXiv 2104.04588cond-mat.mtrl-scicond-mat.other
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从能量导数间断性导出交换关联势中原子间台阶高度的精确表达式

Exact expressions for the height of the interatomic step in the exchange-correlation potential from the derivative discontinuity of the energy

M. J. P. Hodgson

摘要:

密度泛函理论的交换相关(xc)能量的流行近似不产生空间的“步骤”的结构,在精确的xc潜力,这是必要的描述解离和电子激发的Kohn-Sham(KS)系统。通过不连续的导数的xc能量作为电子数的函数,我推导出精确的解析表达式的KS单粒子能量的高度之间的各种开放和封闭壳层原子拉伸分子的xc潜力。

英文摘要:

Popular approximations to the exchange-correlation (xc) energy of density functional theory do not yield the spatial `step' structures in the exact xc potential which are necessary to describe dissociation and electron excitation with the Kohn-Sham (KS) system. Via the discontinuity in the derivative of the xc energy as a function of electron number I derive exact analytic expressions in terms of the KS single-particle energies for the height of the step in the xc potential between a variety of open- and closed-shell atoms within stretched molecules.

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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