Publication

Density-functional perturbation theory for lattice dynamics with ultrasoft pseudopotentials

Alfredo Pasquarello
1997
Journal Articles

Abstract

We generalize density-functional perturbation theory for lattice dynamics to Vanderbilt's ultrasoft pseudopotential scheme. This formulation accounts for the nonorthogonality of the orbitals, the augmentation of the electron density, and the dependence of the generalized orthogonality constraint on the atomic positions. Both insulating and metallic systems are considered. Application of the theory to the vibrations of small molecules (CO, CO2, CH4, and H2O) and to the phonon dispersion of the noble metals (Cu, Ag, Au) shows overall agreement with experiment. [SO163-1829(97)51742-5].

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https://infoscience.epfl.ch/entities/publication/b85757ca-3179-43b5-8a51-1d68f4d4e256

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Alfredo Pasquarello
1997
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/b85757ca-3179-43b5-8a51-1d68f4d4e256

About this result

Related concepts (32)

Density functional theory

Density-functional theory (DFT) is a computational quantum mechanical modelling method used in physics, chemistry and materials science to investigate the electronic structure (or nuclear structure) (principally the ground state) of many-body systems, in particular atoms, molecules, and the condensed phases. Using this theory, the properties of a many-electron system can be determined by using functionals, i.e. functions of another function. In the case of DFT, these are functionals of the spatially dependent electron density.

Noble metal

A noble metal is ordinarily regarded as a metallic chemical element that is generally resistant to corrosion and is usually found in nature in its raw form. Gold, platinum, and the other platinum group metals (ruthenium, rhodium, palladium, osmium, iridium) are most often so classified. Silver, copper and mercury are sometimes included as noble metals, however less often as each of these usually occurs in nature combined with sulfur. In more specialized fields of study and applications the number of elements counted as noble metals can be smaller or larger.

Noble gas

The noble gases (historically also the inert gases; sometimes referred to as aerogens) make up a class of chemical elements with similar properties; under standard conditions, they are all odorless, colorless, monatomic gases with very low chemical reactivity. The six naturally occurring noble gases are helium (He), neon (Ne), argon (Ar), krypton (Kr), xenon (Xe), and the radioactive radon (Rn). Oganesson (Og) is a synthetically produced highly radioactive element.

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Density-functional perturbation theory for lattice dynamics with ultrasoft pseudopotentials

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