Elastic properties, lattice dynamics and structural transitions in molybdenum at high pressures

The structural phase transitions in molybdenum under pressures are investigated on the basis of first principle analysis of elastic constants behavior and phonon dispersions. The definition of the effective elastic constants of nth order (n = 2), governing the elastic properties of a loaded crystal,...

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Main Authors: Krasilnikov, O., Belov, M., Lugovskoy, Andrey, Mosyagin, I., Vekilov, Y.
Format: Journal Article
Published: 2014
Online Access:http://hdl.handle.net/20.500.11937/32685
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author Krasilnikov, O.
Belov, M.
Lugovskoy, Andrey
Mosyagin, I.
Vekilov, Y.
author_facet Krasilnikov, O.
Belov, M.
Lugovskoy, Andrey
Mosyagin, I.
Vekilov, Y.
author_sort Krasilnikov, O.
building Curtin Institutional Repository
collection Online Access
description The structural phase transitions in molybdenum under pressures are investigated on the basis of first principle analysis of elastic constants behavior and phonon dispersions. The definition of the effective elastic constants of nth order (n = 2), governing the elastic properties of a loaded crystal, is given. The effective elastic constants of second and third order and the phonon dispersions are calculated by DFT methods in the pressure range of P = 0 - 1400 GPa, T = 0 K. The calculation results at P = 0 are in good agreement with the available experimental data. On the basis of the obtained results the stability of the bcc phase of molybdenum under pressure and the possibility of the phase transition are investigated. It is shown that the effective elastic constant C~' which corresponds to the tetragonal uniform strain of a loaded crystal undergoes significant softening at P > 400 GPa. In the same pressure range the frequencies of the transverse branch T[ 11¯0][??0] also begin to soften and already at P ˜ 1000 GPa they become imaginary near the wave vector 14140. The bcc ? dhcp phase transition associated with the softening of C~' and the soft mode T11¯014140 is discussed. © 2013 Elsevier B.V. All rights reserved.
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spelling curtin-20.500.11937-326852017-09-13T15:27:38Z Elastic properties, lattice dynamics and structural transitions in molybdenum at high pressures Krasilnikov, O. Belov, M. Lugovskoy, Andrey Mosyagin, I. Vekilov, Y. The structural phase transitions in molybdenum under pressures are investigated on the basis of first principle analysis of elastic constants behavior and phonon dispersions. The definition of the effective elastic constants of nth order (n = 2), governing the elastic properties of a loaded crystal, is given. The effective elastic constants of second and third order and the phonon dispersions are calculated by DFT methods in the pressure range of P = 0 - 1400 GPa, T = 0 K. The calculation results at P = 0 are in good agreement with the available experimental data. On the basis of the obtained results the stability of the bcc phase of molybdenum under pressure and the possibility of the phase transition are investigated. It is shown that the effective elastic constant C~' which corresponds to the tetragonal uniform strain of a loaded crystal undergoes significant softening at P > 400 GPa. In the same pressure range the frequencies of the transverse branch T[ 11¯0][??0] also begin to soften and already at P ˜ 1000 GPa they become imaginary near the wave vector 14140. The bcc ? dhcp phase transition associated with the softening of C~' and the soft mode T11¯014140 is discussed. © 2013 Elsevier B.V. All rights reserved. 2014 Journal Article http://hdl.handle.net/20.500.11937/32685 10.1016/j.commatsci.2013.08.038 restricted
spellingShingle Krasilnikov, O.
Belov, M.
Lugovskoy, Andrey
Mosyagin, I.
Vekilov, Y.
Elastic properties, lattice dynamics and structural transitions in molybdenum at high pressures
title Elastic properties, lattice dynamics and structural transitions in molybdenum at high pressures
title_full Elastic properties, lattice dynamics and structural transitions in molybdenum at high pressures
title_fullStr Elastic properties, lattice dynamics and structural transitions in molybdenum at high pressures
title_full_unstemmed Elastic properties, lattice dynamics and structural transitions in molybdenum at high pressures
title_short Elastic properties, lattice dynamics and structural transitions in molybdenum at high pressures
title_sort elastic properties, lattice dynamics and structural transitions in molybdenum at high pressures
url http://hdl.handle.net/20.500.11937/32685