Abstract

This review seeks to describe, from first principles, the nature of the interaction forces in atomic and ionic liquids. The atoms and molecules made up of dipoles and multipoles interact with van der Waals forces, while the ionic systems are viewed as pseudoions interacting through effective forces depending on the electronic structure and the physical ionic arrangement. The interplay between these two aspects of materials is quite complex and forms the main subject of this review. As it will be shown, the two-component system of interacting electrons and ions can be reduced, in second order perturbation theory, to an effective one-component system made up of pseudoions acting under the influence of two-body, central, screened potentials. These potentials result from a weak interaction between the electrons and the ions, deduced from the pseudopotential theory. Once the interatomic forces are known, the atomic structure and the electronic transport properties can be determined by methods of classical mechanics and quantum mechanics. Besides, a large volume-dependent term in the free energy, independent of the ionic positions, which distinguishes the conducting liquids from the simple isolator liquids like argon, is indispensable for explaining the thermodynamical properties.

Highlights

  • The atoms and molecules made up of dipoles and multipoles interact with van der Waals forces, while the ionic systems are viewed as pseudoions interacting through effective forces depending on the electronic structure and the physical ionic arrangement

  • A liquid is a phase of condensed matter in which the density is further removed from that of the gas phase than that of the corresponding solid phase. Because of this large difference of density between liquids and gases, the thermodynamic functions of liquids cannot be developed as a function of the density, as done for the gases

  • This review is solely devoted to the simple liquids, that is to say to liquids characterized by interactions in spherical symmetry whose forces have the center of mass of the particles as the application point

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Summary

Classification of Liquids

A liquid is a phase of condensed matter in which the density is further removed from that of the gas phase than that of the corresponding solid phase. Binary alloys and liquids having important directional effects will not be investigated here Examples of these liquids are the homonuclear (N 2, O2 , H2) and heteronuclear (CO) molecular liquids, the associated liquids (water, glycerol ...) characterized by hydrogen bonds and the polar liquids (HBr, SO2...) whose molecules have a strong asymmetry or pronounced electrostatic interactions. Another class of simple liquids, with a structural length scale between 10 nanometers and one micron (1000 nm), will not be investigated either.

Interactions at Short and Long Distances
Interaction Between a Dipole and a Point Charge
Intermolecular Interactions
Interatomic Interactions
Potentials in Liquid Rare Gases
Empirical Potential
Relationship Between Potential and Limits of Phase Stability
A Weak Electron-ion Interaction
The Schrödinger Equation
Concept of Pseudopotential
Perturbation Theory for non Degenerate States
Factorization of the Matrix Elements
Form Factor of the Ashcroft Pseudopotential
Matrix Element of the Hartree Potential
Concept of Dielectric Function
Interionic Potentials in Liquid Metals
Linear Response
Without Exchange and Correlation Effects
Z2e2 2 4πε0 r π
Concluding Remarks
Full Text
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