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Journal ArticleDOI

Linear-response theory within the density-functional formalism: Application to atomic polarizabilities

Malcolm J. Stott, +1 more
- 01 Jan 1980 - 
- Vol. 21, Iss: 1, pp 12-23
TLDR
In this article, an integral equation determining the density induced by an external perturbation is derived and the independent-particle response function for an inhomogeneous system appearing in this equation is obtained in a form convenient for numerical calculations, applied to the calculation of dipole polarizabilities of spherically symmetric atoms and ions.
Abstract
The linear response of an arbitrary electronic system is considered within the framework of the density-functional theory. An integral equation determining the density induced by an external perturbation is derived. The independent-particle response function for an inhomogeneous system appearing in this equation is obtained in a form convenient for numerical calculations. The equation is applied to the calculation of dipole polarizabilities of spherically symmetric atoms and ions. Results for the rare-gas atoms obtained by means of the local-density approximation are in good agreement with experimental values, except for the case of He. Polarizabilities are also evaluated for the alkali-metal ions, the alkaline-earth and other closed-shell metallic atoms.

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Conceptual density functional theory.

TL;DR: This chapter discusses the development of DFT as a tool for Calculating Atomic andMolecular Properties and its applications, as well as some of the fundamental and Computational aspects.
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TL;DR: In this paper, the authors compare the theoretical and practical aspects of the two approaches and their specific numerical implementations, and present an overview of accomplishments and work in progress, as well as a comparison of both the Green's functions and the TDDFT approaches.
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The physics of simple metal clusters: self-consistent jellium model and semiclassical approaches

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Chemical reactivity indexes in density functional theory

TL;DR: In this article, a functional Taylor expansion of energy is used to introduce various energy derivatives of chemical significance, and a review summarizes their main features and examines the limitations of some indexes presently used for the characterization of reactivity.
Journal ArticleDOI

Density functional theory: Its origins, rise to prominence, and future

TL;DR: Density functional theory has been spectacularly successful in physics, chemistry, and related fields, and it keeps finding new applications as mentioned in this paper. But it is difficult to apply density functional theory to the real world.
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