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Title: Impact of crystalline defects and size on X-ray line broadening: A phenomenological approach for tetragonal SnO{sub 2} nanocrystals

Abstract

Nanocrystalline tin oxide (SnO{sub 2}) powders with different grain size were prepared by chemical precipitation method. The reaction was carried out by varying the period of hydrolysis and the as-prepared samples were annealed at different temperatures. The samples were characterized using X-ray powder diffractometer and transmission electron microscopy. The microstrain and crystallite size were calculated for all the samples by using Williamson-Hall (W-H) models namely, isotropic strain model (ISM), anisotropic strain model (ASM) and uniform deformation energy density model (UDEDM). The morphology and particle size were determined using TEM micrographs. The directional dependant young’s modulus was modified as an equation relating elastic compliances (s{sub ij}) and Miller indices of the lattice plane (hkl) for tetragonal crystal system and also the equation for elastic compliance in terms of stiffness constants was derived. The changes in crystallite size and microstrain due to lattice defects were observed while varying the hydrolysis time and the annealing temperature. The dependence of crystallite size on lattice strain was studied. The results were correlated with the available studies on electrical properties using impedance spectroscopy.

Authors:
Publication Date:
OSTI Identifier:
22488580
Resource Type:
Journal Article
Journal Name:
AIP Advances
Additional Journal Information:
Journal Volume: 5; Journal Issue: 5; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 2158-3226
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 77 NANOSCIENCE AND NANOTECHNOLOGY; CRYSTAL DEFECTS; CRYSTALS; DEFORMATION; ELECTRICAL PROPERTIES; ENERGY DENSITY; GRAIN SIZE; HYDROLYSIS; IMPEDANCE; LINE BROADENING; MORPHOLOGY; NANOSTRUCTURES; PARTICLE SIZE; POWDERS; PRECIPITATION; SPECTROSCOPY; STRAINS; TIN OXIDES; TRANSMISSION ELECTRON MICROSCOPY; X RADIATION

Citation Formats

Muhammed Shafi, P., and Chandra Bose, A., E-mail: acbose@nitt.edu. Impact of crystalline defects and size on X-ray line broadening: A phenomenological approach for tetragonal SnO{sub 2} nanocrystals. United States: N. p., 2015. Web. doi:10.1063/1.4921452.
Muhammed Shafi, P., & Chandra Bose, A., E-mail: acbose@nitt.edu. Impact of crystalline defects and size on X-ray line broadening: A phenomenological approach for tetragonal SnO{sub 2} nanocrystals. United States. https://doi.org/10.1063/1.4921452
Muhammed Shafi, P., and Chandra Bose, A., E-mail: acbose@nitt.edu. 2015. "Impact of crystalline defects and size on X-ray line broadening: A phenomenological approach for tetragonal SnO{sub 2} nanocrystals". United States. https://doi.org/10.1063/1.4921452.
@article{osti_22488580,
title = {Impact of crystalline defects and size on X-ray line broadening: A phenomenological approach for tetragonal SnO{sub 2} nanocrystals},
author = {Muhammed Shafi, P. and Chandra Bose, A., E-mail: acbose@nitt.edu},
abstractNote = {Nanocrystalline tin oxide (SnO{sub 2}) powders with different grain size were prepared by chemical precipitation method. The reaction was carried out by varying the period of hydrolysis and the as-prepared samples were annealed at different temperatures. The samples were characterized using X-ray powder diffractometer and transmission electron microscopy. The microstrain and crystallite size were calculated for all the samples by using Williamson-Hall (W-H) models namely, isotropic strain model (ISM), anisotropic strain model (ASM) and uniform deformation energy density model (UDEDM). The morphology and particle size were determined using TEM micrographs. The directional dependant young’s modulus was modified as an equation relating elastic compliances (s{sub ij}) and Miller indices of the lattice plane (hkl) for tetragonal crystal system and also the equation for elastic compliance in terms of stiffness constants was derived. The changes in crystallite size and microstrain due to lattice defects were observed while varying the hydrolysis time and the annealing temperature. The dependence of crystallite size on lattice strain was studied. The results were correlated with the available studies on electrical properties using impedance spectroscopy.},
doi = {10.1063/1.4921452},
url = {https://www.osti.gov/biblio/22488580}, journal = {AIP Advances},
issn = {2158-3226},
number = 5,
volume = 5,
place = {United States},
year = {Fri May 15 00:00:00 EDT 2015},
month = {Fri May 15 00:00:00 EDT 2015}
}