Abstract
In the present study, nano platinum particles were produced by ball milling process. The lattice strains in platinum (Pt) powders produced by milling have been analysed by X-ray powder diffraction. The lattice strain (\({\varepsilon}\)) and Debye-Waller factor (B) are determined from the half-widths and integrated intensities of the Bragg reflections. In Pt, the Debye–Waller factor is found to increase with lattice strain. From the correlation between the strain and effective Debye–Waller factor, the Debye–Waller factors for zero strain have been estimated for Pt. The variation of energy of vacancy formation as a function of lattice strain has been studied.
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References
Alexopoulos K, Boskovits J, Mourikis S and Roilos M 1965 Acta Crystallogr. 19 349
Benson G C and Gill E K 1966 Table of integral functions related to Debye–Waller factor (Ottawa: National Research Council of Canada)
Chipman D R and Paskin A 1959 J. Appl. Phys. 30 1938
Cromer D T and Waber J T 1965 Acta Crystallogr. 18 104
Cromer D T and Liberman D 1970 J. Chem. Phys. 53 1891
Gopi Krishna N and Sirdeshmukh D B 1993 Indian J. Pure & Appl. Phys. 31 198
Glyde H R 1967 J. Phys. Chem. Solids (GB) 28 2061
Inagaki M et al 1971 J. Mater. Sci. 6 1520
Inagaki M, Furuhashi H, Ozeki T and Naka S 1973 J. Mater. Sci. 8 312
International Tables for X-ray Crystallography 1968 (Birmingham: Kynoch Press) Vol. III
Kaelble E F 1967 Handbook of X-rays (New York: McGraw Hill)
Klug H P and Alexander L E 1974 X-ray diffraction procedures (USA: John Wiley and Sons)
Rehani B R, Joshi P B, Kirit N L and Pratap A 2006 Indian J. Pure & Appl. Phys. 44 157
Sirdeshmukh D B, Subhadra K G, Hussain K A, Gopi Krishna N and Raghavendra Rao B 1993 Cryst. Res. Technol. 28 15
Springer Series in Material Science 2006 Micro- and macro-properties of solids
Vetelino J F, Gaur S P and Mitra S S 1972 Phys. Rev. B5 2360
Wilson A J C 1949 X-ray optics (London: Methuen)
Acknowledgements
The authors are grateful to the referee for suggestions. The authors thank the University Grants Commission, New Delhi, for financial assistance under special assistance programme (SAP) No. F.530/8/DRS/2009(SAP-I).
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PURUSHOTHAM, E., KRISHNA, N.G. X-ray determination of crystallite size and effect of lattice strain on Debye–Waller factors of platinum nano powders. Bull Mater Sci 36, 973–976 (2013). https://doi.org/10.1007/s12034-013-0553-1
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DOI: https://doi.org/10.1007/s12034-013-0553-1