Lattice instabilities in metallic elements

G Grimvall, B Magyari-Köpe, V Ozoliņš… - Reviews of Modern Physics, 2012 - APS
Most metallic elements have a crystal structure that is either body-centered cubic (bcc), face-
centered close packed, or hexagonal close packed. If the bcc lattice is the …

From ultrasoft pseudopotentials to the projector augmented-wave method

G Kresse, D Joubert - Physical review b, 1999 - APS
The formal relationship between ultrasoft (US) Vanderbilt-type pseudopotentials and
Blöchl's projector augmented wave (PAW) method is derived. It is shown that the total …

High‐pressure elastic properties of major materials of Earth's mantle from first principles

BB Karki, L Stixrude… - Reviews of Geophysics, 2001 - Wiley Online Library
The elasticity of materials is important for our understanding of processes ranging from brittle
failure, to flexure, to the propagation of elastic waves. Seismologically revealed structure of …

Density functional theory for calculation of elastic properties of orthorhombic crystals: Application to

P Ravindran, L Fast, PA Korzhavyi… - Journal of Applied …, 1998 - pubs.aip.org
A theoretical formalism to calculate the single crystal elastic constants for orthorhombic
crystals from first principle calculations is described. This is applied for TiSi 2 and we …

First-principles elastic constants for the hcp transition metals Fe, Co, and Re at high pressure

G Steinle-Neumann, L Stixrude, RE Cohen - Physical Review B, 1999 - APS
The elastic constant tensors for the hcp phases of three transition metals (Co, Re, and Fe)
are computed as functions of pressure using the linearized augmented plane wave method …

Ab initio full-potential study of the structural and magnetic phase stability of iron

HC Herper, E Hoffmann, P Entel - Physical Review B, 1999 - APS
We have investigated the magnetic and structural phase diagram of iron employing the full
potential linear augmented plane-wave method within the generalized gradient …

Analysis of lattice strains measured under nonhydrostatic pressure

AK Singh, C Balasingh, H Mao, RJ Hemley… - Journal of Applied …, 1998 - pubs.aip.org
The equations for the lattice strains produced by nonhydrostatic compression are presented
for all seven crystal systems in a form convenient for analyzing x-ray diffraction data …

[BOOK][B] Computational materials science: from ab initio to Monte Carlo methods

K Ohno, K Esfarjani, Y Kawazoe - 2018 - books.google.com
This textbook introduces modern techniques based on computer simulation to study
materials science. It starts from first principles calculations enabling to calculate the physical …

Composition and temperature of the Earth's core constrained by combining ab initio calculations and seismic data

D Alfè, MJ Gillan, GD Price - Earth and Planetary Science Letters, 2002 - Elsevier
It is shown how ab initio techniques based on density functional theory can be used to
calculate the chemical potentials of the leading candidate impurity elements (S, O and Si) in …

Physics of iron at Earth's core conditions

A Laio, S Bernard, GL Chiarotti, S Scandolo, E Tosatti - Science, 2000 - science.org
The bulk properties of iron at the pressure and temperature conditions of Earth's core were
determined by a method that combines first-principles and classical molecular dynamic …