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Synthesis, Characterization, Effect of Lattice Strain on the Debye-Waller Factor and Debye Temperature of Aluminium Nanoparticles

Received: 17 October 2019     Accepted: 9 November 2019     Published: 17 November 2019
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Abstract

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.

Published in American Journal of Nanosciences (Volume 5, Issue 3)
DOI 10.11648/j.ajn.20190503.11
Page(s) 23-26
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

X-ray Diffraction, Lattice Strain, Crystallite Size, Debye-Waller Factor, Vacancy Formation Energy

References
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[4] P. Satish Kumar, S. R. Sastry, Ch. Devaraju, A. Materials Today Proceedings Elsevier, Vol. 4, issue. 2, (2017) 330-335.
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[7] Sirdeshmukh, D. B., Subhadra, K. G., Hussain, K. A., Gopi Krishna, N., and Rag- havendra Rao. B., Cryst. Res. Technol 28, (1993) 15.
[8] Gopi Krishna, N., and Sirdeshmukh., D. B., Indian J Pure & Appl Phys. 31, (1993) 198.
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[10] Klug, H. P., and Alexander, L. E., (1974). X-ray Diffraction Procedures (John Wiley and Sons, U.S.A.).
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Cite This Article
  • APA Style

    Endla Purushotham. (2019). Synthesis, Characterization, Effect of Lattice Strain on the Debye-Waller Factor and Debye Temperature of Aluminium Nanoparticles. American Journal of Nanosciences, 5(3), 23-26. https://doi.org/10.11648/j.ajn.20190503.11

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    ACS Style

    Endla Purushotham. Synthesis, Characterization, Effect of Lattice Strain on the Debye-Waller Factor and Debye Temperature of Aluminium Nanoparticles. Am. J. Nanosci. 2019, 5(3), 23-26. doi: 10.11648/j.ajn.20190503.11

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    AMA Style

    Endla Purushotham. Synthesis, Characterization, Effect of Lattice Strain on the Debye-Waller Factor and Debye Temperature of Aluminium Nanoparticles. Am J Nanosci. 2019;5(3):23-26. doi: 10.11648/j.ajn.20190503.11

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  • @article{10.11648/j.ajn.20190503.11,
      author = {Endla Purushotham},
      title = {Synthesis, Characterization, Effect of Lattice Strain on the Debye-Waller Factor and Debye Temperature of Aluminium Nanoparticles},
      journal = {American Journal of Nanosciences},
      volume = {5},
      number = {3},
      pages = {23-26},
      doi = {10.11648/j.ajn.20190503.11},
      url = {https://doi.org/10.11648/j.ajn.20190503.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajn.20190503.11},
      abstract = {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.},
     year = {2019}
    }
    

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    T1  - Synthesis, Characterization, Effect of Lattice Strain on the Debye-Waller Factor and Debye Temperature of Aluminium Nanoparticles
    AU  - Endla Purushotham
    Y1  - 2019/11/17
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    T2  - American Journal of Nanosciences
    JF  - American Journal of Nanosciences
    JO  - American Journal of Nanosciences
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    UR  - https://doi.org/10.11648/j.ajn.20190503.11
    AB  - 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.
    VL  - 5
    IS  - 3
    ER  - 

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Author Information
  • Department of Physics, S R Engineering College, Telangana, India

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