Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Phonon Dispersion Curves of Silver (Ag) and Gold (Au): Application of Density Functional Theory and Inter – Atomic Force Constant

Version 1 : Received: 2 July 2023 / Approved: 4 July 2023 / Online: 4 July 2023 (08:50:24 CEST)

How to cite: Enaroseha, O.; Oyibo, O.; Isioma M. EZEH, I.; OSIGA – AIBANGBEE, D. Phonon Dispersion Curves of Silver (Ag) and Gold (Au): Application of Density Functional Theory and Inter – Atomic Force Constant. Preprints 2023, 2023070166. https://doi.org/10.20944/preprints202307.0166.v1 Enaroseha, O.; Oyibo, O.; Isioma M. EZEH, I.; OSIGA – AIBANGBEE, D. Phonon Dispersion Curves of Silver (Ag) and Gold (Au): Application of Density Functional Theory and Inter – Atomic Force Constant. Preprints 2023, 2023070166. https://doi.org/10.20944/preprints202307.0166.v1

Abstract

The Computational theoretical techniques using first principle which make use of the density functional theory as implemented by quantum expresso as well as inter – atomic force constant (IFC) techniques (Born-von Jarman) were used to investigate the phonon dispersion curves of Silver (Ag) and Gold (Au) The results obtained show that for Au, the extension to 1 – 6th neighbour gave slightly close agreement with the experimental phonon dispersions when compared to the 1 – 5th neighbor at WT and LL symmetry points. The percentage error for Au at WT are 2.5% and 2.9% ; at point LL we obtained 0.6% and 0.7% respectively. The Local density Approximation (LDA) results for Ag underestimates the lattice with about 1.6% while the Generalized Gradient Approximation (GGA) overestimates it by 1.9%.

Keywords

phonon; quantum expresso; Eigen – value; silver (Ag); gold (Au)

Subject

Physical Sciences, Condensed Matter Physics

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