Synthesis, Characterization, Effect of Lattice Strain on the Debye-Waller Factor and Debye Temperature of Aluminium Nanoparticles
American Journal of Nanosciences
Volume 5, Issue 3, September 2019, Pages: 23-26
Received: Oct. 17, 2019;
Accepted: Nov. 9, 2019;
Published: Nov. 17, 2019
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Endla Purushotham, Department of Physics, S R Engineering College, Telangana, India
The synthesis of aluminium (Al) nanocrystalline powder by high-energy ball milling has been investigated. Al powders were ball milled in an argon inert atmosphere. The milled powders were characterized by X-ray diffraction and scanning electron microscopy measurements. The high-energy ball milling of Al after 12 hours resulted in crystallite size (particle size) of about 76 nm. Particle size and lattice strain in Al powder produced by milling have been analyzed by X-ray powder diffraction. The lattice strain () and Debye-Waller factor (B) are determined from the half-widths and integrated intensities of the Bragg reflections. In this Al, the Debye-Waller factor is found to increase with the lattice strain. From the correlation between the strain and effective Debye-Waller factor, the Debye-Waller factors for zero strain have been estimated for Al. The variation of energy of vacancy formation as a function of lattice strain has been studied.
Synthesis, Characterization, Effect of Lattice Strain on the Debye-Waller Factor and Debye Temperature of Aluminium Nanoparticles, American Journal of Nanosciences.
Vol. 5, No. 3,
2019, pp. 23-26.
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
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V. Ashok Kumar, V. Sammaiah, P. Elsever - Science Direct Materials Today: Proceedings, (2017) 1-7.
P. Srikanth Rao, D. Manoj Kumar, J. Gopikrishna, N. Elsevier ScienceDirect Materials Today, Vol. 5, issue. 1 (1), (2018) 1264-1270.
Ch. Shiva Krishna, Manoj Kumar, J. International Journal of Materials Science, Vol. 12, issue. 4, (2017) 627-633.
P. Satish Kumar, S. R. Sastry, Ch. Devaraju, A. Materials Today Proceedings Elsevier, Vol. 4, issue. 2, (2017) 330-335.
Inagaki, M. Furuhashi, H., T Ozeki et al., J Mater Sci. 6, (1971) 1520.
M Inagaki, H Furuhashi, T Ozeki and S Naka J. Mater. Sci. 8, (1973) 312.
Sirdeshmukh, D. B., Subhadra, K. G., Hussain, K. A., Gopi Krishna, N., and Rag- havendra Rao. B., Cryst. Res. Technol 28, (1993) 15.
Gopi Krishna, N., and Sirdeshmukh., D. B., Indian J Pure & Appl Phys. 31, (1993) 198.
Chipman, D. R., and Paskin, A., J. Appl. Phys. 30, (1959) 1938.
Klug, H. P., and Alexander, L. E., (1974). X-ray Diffraction Procedures (John Wiley and Sons, U.S.A.).
Cromer, D. T., and Waber, J. T., Acta Cryst. 18, (1965) 104.
International Tables for X-ray Crystallography (1968) Vol. III (Kynoch Press, Birmingham).
Cromer, D. T., and Liberman, D., J. Chem. Phys. 53, (1970) 1891.
Benson, G. C., and Gill, E. K., (1966) Table of Integral Functions Related to Debye-Waller factor, National Research Council of Canada, Ottawa.
Kaelble, E. F., Handbook of X-rays (New York Mc Graw ill) (1967).
Vetelino, J. F., Gaur, S. P., Mitra, S. S., Phys. Rev. B5, (1972) 2360.
Glyde, H. R., J. Phys and Chem Solids (G. B) 28, (1967) 2061.
Micro-and Macro-Properties of Solids (Springer Series in Material Science) (2006).