Journal ArticleDOI
Microscopic analysis of interatomic forces in transition metals with lattice distortions
TLDR
In this paper, the Hellmann-Feynman theorem is used to calculate the interatomic forces arising from the electronic response to a particular phonon distortion, which helps in visualizing the complicated microscopic interactions responsible for phonon anomalies.Abstract:
It is now possible to calculate accurately vibrational frequencies for transition metals entirely from first principles using the frozen-phonon approach. In addition, the interatomic forces arising from the electronic response to a particular phonon distortion can be calculated by making use of the Hellmann-Feynman theorem. Analysis of these forces helps in visualizing the complicated microscopic interactions responsible for phonon anomalies. The techniques and analysis are demonstrated for the important longitudinal ($\frac{2}{3}$,$\frac{2}{3}$,$\frac{2}{3}$) phonon in Mo, Nb, and bcc Zr. The stiffening of this mode as the electron-per-atom ratio increases from Nb to Mo is shown to arise from a development of directional bonding. The precipitous dip in this mode for the high-temperature bcc phase of Zr and the instability of bcc Zr towards the formation of the $\ensuremath{\omega}$ phase are related to the $d$-electron screening and details of the electronic structure.read more
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Journal ArticleDOI
Lattice instabilities in metallic elements
TL;DR: A review of stability criteria, thermodynamic functions in the vicinity of an instability, and how instabilities may arise or disappear when pressure, temperature, and/or chemical composition is varied are discussed in this article.
Journal ArticleDOI
Experimental evidence of concurrent compositional and structural instabilities leading to ω precipitation in titanium-molybdenum alloys
Arun Devaraj,Soumya Nag,R. Srinivasan,Robert E.A. Williams,S. Banerjee,Rajarshi Banerjee,Hamish L. Fraser +6 more
TL;DR: In this article, the formation of ω-like embryos from competing compositional and structural instabilities arising in the bcc lattice of binary titanium-molybdenum alloys during rapid cooling from the high-temperature single β phase field was investigated.
Journal ArticleDOI
Relativistic effects on ground state properties of 4d and 5d transition metals
TL;DR: In this paper, the relativistic results for the 4d and 5d transition metals with face-centred cubic crystal lattices (Rh, Pd, Ag and Ir, Pt, Au) have been obtained using an ab initio pseudopotential method, where the charge densities of the valence electrons have been represented by a mixed basis of plane waves and localised orbitals derived from the atomic d pseudo-wavefunctions.
Journal ArticleDOI
Simple formula for the atomic forces in the augmented-plane-wave method.
TL;DR: In this article, a simple and explicit method for the computation of atomic forces in ab initio total energy calculations using a basis of augmented plane waves (APW) and the local density approximation for exchange and correlation is presented.