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Journal ArticleDOI

The structure of the liquid alkali metals

Gerhard Kahl, +1 more
- 01 Dec 1985 - 
- Vol. 58, Iss: 4, pp 283-291
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TLDR
In this article, the structure of the liquid simple metals from Li to Pb has been analyzed based on an optimized random phase approximation and on effective interatomic pair potentials derived from pseudopotential perturbation theory.
Abstract
We present calculations of the structure of the liquid alkali-metals, based on the optimized random phase approximation and on effective interatomic pair potentials derived from pseudopotential perturbation theory. In our approach the atomic interactions are decomposed self-consistently into a repulsive short-ranged part and a weak long-range perturbation, the repulsive part being modelled by a hard-sphere reference system via the Weeks-Chandler Andersen functional expansion. We show detailed comparisons with computer-simulation data and with experiment, demonstrating that the optimized random phase approximation with a hard-sphere reference system applies equally well to the liquid alkali metals as to the liquid polyvalent metals. Thus it is a comprehensive description of all liquid simple metals from Li to Pb. The conceptual advantages of this method as compared to other approaches are discussed.

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Citations
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From Hamiltonians to Phase Diagrams

TL;DR: In this paper, the ab-initio calculation of phase diagrams for metals and alloys using electronic and thermodynamic perturbation theories is discussed, and the authors propose an ab-initiative method for phase diagrams of alloys.
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The theory of the cohesive energies of solids

TL;DR: Reliable calculations based on first principles are now possible for a wide range of problems, which will significantly increase the predictive power of solid-state theory in the coming years.
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A molecular dynamics study of the structure of liquid germanium

TL;DR: In this article, the structure of liquid Ge as a function of temperature and density was investigated using molecular dynamics and interatomic forces derived from the pseudopotential theory, and the results were in good agreement with diffraction experiments.
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Liquid structure of transition metals: investigations using molecular dynamics and perturbation- and integral-equation techniques

TL;DR: In this paper, the structure of liquid 3D and 4d transition metals using molecular dynamics simulations, thermodynamic perturbation theories, and integral-equation techniques is investigated, and effective pair interactions are calculated within a hybridized nearly free-electron-tight-binding theory.
Journal ArticleDOI

Analysis of the liquid structure of 3d transition metals from the Wills-Harrison model

TL;DR: In this paper, the authors used the optimized random phase approximation in order to point out the influence of the s-electron pseudopotential on the repulsive and attractive forces governing the liquid structure.
References
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Journal ArticleDOI

Strongly coupled plasmas: high-density classical plasmas and degenerate electron liquids

TL;DR: Theoretical predictions on the dynamic properties are compared with the x ray and electron scattering data for the metallic electrons as discussed by the authors, and screening effects are analyzed and applied to calculations of the enhancement factor of the thermonuclear reaction rate and the electric resistivity in dense plasmas.
Journal ArticleDOI

Structure and Resistivity of Liquid Metals

TL;DR: In this article, the authors used the known solution of the Percus-Yevick equation for this model to give a simple closed form for $a(K)$ (the liquid structure factor) which depends only on the effective packing density of the fluid.
Journal ArticleDOI

Electron-ion pseudopotentials in metals☆

TL;DR: Pseudopotential form-factors for Al, Pb, Na and K are plotted for a simple model potential which is justified in the text as mentioned in this paper, in good agreement with potentials of Heine and Abarenkov.
Journal ArticleDOI

Electron Correlations at Metallic Densities. V

TL;DR: In this paper, a modification of an earlier theory of Singwi et al of electron correlations at metallic densities is presented, which allows for the change of the pair correlation function in an external weak field via the density derivative of the equilibrium pair correlation functions.
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