Anisotropic lattice thermal expansion of PbFeBO{sub 4}: A study by X-ray and neutron diffraction, Raman spectroscopy and DFT calculations
Abstract
Highlights: • Mullite-type PbFeBO{sub 4} shows uni-axial negative coefficient of thermal expansion. • Anisotropic thermal expansion of the metric parameters was modeled using modified Grüneisen approximation. • The model includes harmonic, quasi-harmonic and intrinsic anharmonic contributions to the internal energy. • DFT calculation, temperature- and pressure-dependent Raman spectra help understand the phonon decay and associated anharmonicity. - Abstract: The lattice thermal expansion of mullite-type PbFeBO{sub 4} is presented in this study. The thermal expansion coefficients of the metric parameters were obtained from composite data collected from temperature-dependent neutron and X-ray powder diffraction between 10 K and 700 K. The volume thermal expansion was modeled using extended Grüneisen first-order approximation to the zero-pressure equation of state. The additive frame of the model includes harmonic, quasi-harmonic and intrinsic anharmonic potentials to describe the change of the internal energy as a function of temperature. The unit-cell volume at zero-pressure and 0 K was optimized during the DFT simulations. Harmonic frequencies of the optical Raman modes at the Γ-point of the Brillouin zone at 0 K were also calculated by DFT, which help to assign and crosscheck the experimental frequencies. The low-temperature Raman spectra showed significant anomaly in the antiferromagnetic regions, leading to softeningmore »
- Authors:
-
- Departamento de Química, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Dean Funes 3350, B7600AYL, Mar del Plata (Argentina)
- Institut Laue-Langevin, 6 rue Jules Horowitz, 38042 Grenoble (France)
- Department of Physics and Astronomy and High-Pressure Science and Engineering Center, University of Nevada Las Vegas, Box 4002, Las Vegas, NV 89154-4002 (United States)
- Department of Mechanical Engineering, University of Nevada Las Vegas, 4505 Maryland Parkway, Box 454009, Las Vegas, NV 89154-4009 (United States)
- Chemical and Engineering Materials Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6475 (United States)
- Chemische Kristallographie fester Stoffe, Institut für Anorganische Chemie, Universität Bremen, Leobener Straße, D-28359 Bremen (Germany)
- Publication Date:
- OSTI Identifier:
- 22420617
- Resource Type:
- Journal Article
- Journal Name:
- Materials Research Bulletin
- Additional Journal Information:
- Journal Volume: 59; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0025-5408
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; ANISOTROPY; ANTIFERROMAGNETISM; BORATES; BRILLOUIN ZONES; EQUATIONS OF STATE; GRUENEISEN CONSTANT; IRON COMPOUNDS; LEAD COMPOUNDS; LINE WIDTHS; MULLITE; NEUTRON DIFFRACTION; PHONONS; PRESSURE DEPENDENCE; RAMAN SPECTRA; RAMAN SPECTROSCOPY; TEMPERATURE DEPENDENCE; THERMAL EXPANSION; X-RAY DIFFRACTION
Citation Formats
Murshed, M. Mangir, E-mail: murshed@uni-bremen.de, Mendive, Cecilia B., Curti, Mariano, Nénert, Gwilherm, Kalita, Patricia E., Lipinska, Kris, Cornelius, Andrew L., Huq, Ashfia, and Gesing, Thorsten M. Anisotropic lattice thermal expansion of PbFeBO{sub 4}: A study by X-ray and neutron diffraction, Raman spectroscopy and DFT calculations. United States: N. p., 2014.
Web. doi:10.1016/J.MATERRESBULL.2014.07.005.
Murshed, M. Mangir, E-mail: murshed@uni-bremen.de, Mendive, Cecilia B., Curti, Mariano, Nénert, Gwilherm, Kalita, Patricia E., Lipinska, Kris, Cornelius, Andrew L., Huq, Ashfia, & Gesing, Thorsten M. Anisotropic lattice thermal expansion of PbFeBO{sub 4}: A study by X-ray and neutron diffraction, Raman spectroscopy and DFT calculations. United States. https://doi.org/10.1016/J.MATERRESBULL.2014.07.005
Murshed, M. Mangir, E-mail: murshed@uni-bremen.de, Mendive, Cecilia B., Curti, Mariano, Nénert, Gwilherm, Kalita, Patricia E., Lipinska, Kris, Cornelius, Andrew L., Huq, Ashfia, and Gesing, Thorsten M. 2014.
"Anisotropic lattice thermal expansion of PbFeBO{sub 4}: A study by X-ray and neutron diffraction, Raman spectroscopy and DFT calculations". United States. https://doi.org/10.1016/J.MATERRESBULL.2014.07.005.
@article{osti_22420617,
title = {Anisotropic lattice thermal expansion of PbFeBO{sub 4}: A study by X-ray and neutron diffraction, Raman spectroscopy and DFT calculations},
author = {Murshed, M. Mangir, E-mail: murshed@uni-bremen.de and Mendive, Cecilia B. and Curti, Mariano and Nénert, Gwilherm and Kalita, Patricia E. and Lipinska, Kris and Cornelius, Andrew L. and Huq, Ashfia and Gesing, Thorsten M.},
abstractNote = {Highlights: • Mullite-type PbFeBO{sub 4} shows uni-axial negative coefficient of thermal expansion. • Anisotropic thermal expansion of the metric parameters was modeled using modified Grüneisen approximation. • The model includes harmonic, quasi-harmonic and intrinsic anharmonic contributions to the internal energy. • DFT calculation, temperature- and pressure-dependent Raman spectra help understand the phonon decay and associated anharmonicity. - Abstract: The lattice thermal expansion of mullite-type PbFeBO{sub 4} is presented in this study. The thermal expansion coefficients of the metric parameters were obtained from composite data collected from temperature-dependent neutron and X-ray powder diffraction between 10 K and 700 K. The volume thermal expansion was modeled using extended Grüneisen first-order approximation to the zero-pressure equation of state. The additive frame of the model includes harmonic, quasi-harmonic and intrinsic anharmonic potentials to describe the change of the internal energy as a function of temperature. The unit-cell volume at zero-pressure and 0 K was optimized during the DFT simulations. Harmonic frequencies of the optical Raman modes at the Γ-point of the Brillouin zone at 0 K were also calculated by DFT, which help to assign and crosscheck the experimental frequencies. The low-temperature Raman spectra showed significant anomaly in the antiferromagnetic regions, leading to softening or hardening of some phonons. Selected modes were analyzed using a modified Klemens model. The shift of the frequencies and the broadening of the line-widths helped to understand the anharmonic vibrational behaviors of the PbO{sub 4}, FeO{sub 6} and BO{sub 3} polyhedra as a function of temperature.},
doi = {10.1016/J.MATERRESBULL.2014.07.005},
url = {https://www.osti.gov/biblio/22420617},
journal = {Materials Research Bulletin},
issn = {0025-5408},
number = ,
volume = 59,
place = {United States},
year = {Sat Nov 15 00:00:00 EST 2014},
month = {Sat Nov 15 00:00:00 EST 2014}
}
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- Bristol : Institute of Physics Publishing