Aggregate shear moduli of iron up to 90 GPa and 1100 K

We demonstrate that the mean-square atomic vibrations or Debye–Waller temperature factors of cubic ( bcc and fcc) and hcp-metals can be related to aggregate shear moduli at different pressures and temperatures. We show that high-quality powder X-ray diffraction data, collected in diamond anvil cells...

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Bibliographic Details
Published in:Journal of alloys and compounds 2000-02, Vol.297 (1), p.156-161
Main Authors: Dubrovinsky, L.S., Dubrovinskaia, N.A., Saxena, S.K., Rekhi, S., LeBihan, T.
Format: Article
Language:English
Subjects:
Aggregate shear moduli
Applied sciences
Atomic vibrations
Condensed matter: structure, mechanical and thermal properties
Elasticity, elastic constants
Exact sciences and technology
High pressures and temperatures
Lattice dynamics
Mechanical and acoustical properties of condensed matter
Mechanical properties of solids
Metals. Metallurgy
Phonon states and bands, normal modes, and phonon dispersion
Phonons and vibrations in crystal lattices
Physics
Rietveld refinement
α-Fe and ϵ-Fe iron phases
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Summary:We demonstrate that the mean-square atomic vibrations or Debye–Waller temperature factors of cubic ( bcc and fcc) and hcp-metals can be related to aggregate shear moduli at different pressures and temperatures. We show that high-quality powder X-ray diffraction data, collected in diamond anvil cells, provide sufficient information for Rietveld refinement and determination of temperature factors. For the first time, we have determined the shear modulus at pressures over 90 GPa and temperatures over 1000 K, using a new method based on a combination of thermal equation of state and measured mean-square atomic vibrations of low-pressure cubic α-Fe and high-pressure ϵ-Fe phases.
ISSN:0925-8388
1873-4669
DOI:10.1016/S0925-8388(99)00587-3