2016
DOI: 10.1016/j.jallcom.2016.03.213
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Lattice strain estimation for CoAl2O4 nano particles using Williamson-Hall analysis

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Cited by 113 publications
(23 citation statements)
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“…Also, the anisotropic nature of the elastic constants of the crystal can be incorporated in the Williamson-Hall analysis by using uniform deformation stress (UDSM) or uniform deformation energy density (UDEDM) models [8,12,13]. A number of reports on the Williamson-Hall analysis of nanostructured samples of different kinds have appeared in the literature in the recent past [6,[12][13][14][15][16][17][18][19][20][21][22][23]. A perusal of these reports reveals that models which take into account the anisotropic nature of the crystal, viz., UDSM and UDEDM often more correctly model the system than the one which does not take the anisotropy into account viz., UDM [6,[13][14][15][16][17]20].…”
Section: Introductionmentioning
confidence: 99%
“…Also, the anisotropic nature of the elastic constants of the crystal can be incorporated in the Williamson-Hall analysis by using uniform deformation stress (UDSM) or uniform deformation energy density (UDEDM) models [8,12,13]. A number of reports on the Williamson-Hall analysis of nanostructured samples of different kinds have appeared in the literature in the recent past [6,[12][13][14][15][16][17][18][19][20][21][22][23]. A perusal of these reports reveals that models which take into account the anisotropic nature of the crystal, viz., UDSM and UDEDM often more correctly model the system than the one which does not take the anisotropy into account viz., UDM [6,[13][14][15][16][17]20].…”
Section: Introductionmentioning
confidence: 99%
“…Conversely, the nanocrystalline MCrAlY coating has a relatively higher amount of the trendline slope. Further relevant studies based on the examinations of the crystalline size using Williamson–Hall estimations have supported this fact 48 , 49 .…”
Section: Resultsmentioning
confidence: 75%
“…The diffraction peaks of the α phase are clear, while most of the diffraction peaks of the β phase are too weak to identify. On the basis of the XRD test data, we estimated the amount of the rise in dislocation density of the α phase according to the Williamson-Hall formulation [25][26][27] n cos θ/λ = 2/D + 4e sin θ/λ, where n is the full width at half maximum (FWHM) of the diffraction peak, θ is the diffraction angle of the peak, λ is the X-ray wavelength equaling 1.542 Å, D is the characteristic grain size and e is the lattice strain which has the relationship [28] ρ ≈ 16e 2 /b 2 with the dislocation density ρ and the Burgers vector b (b = 2.93 Å for the α phase of Ti-6Al-4V). In order to obtain the FWHM and diffraction angle of every peak, we firstly got the physical shapes of the peaks through multiple peak fitting and the removal of instrument peak shapes, and then obtained these two parameters from the physical peak shapes.…”
Section: Effects Of Magnetic Field On Status Of Dislocationsmentioning
confidence: 99%