2021
DOI: 10.1016/j.physb.2021.413054
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X-ray diffraction based Williamson–Hall analysis and rietveld refinement for strain mechanism in Mg–Mn co-substituted CdFe2O4 nanoparticles

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Cited by 78 publications
(15 citation statements)
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“…As shown in Figure d, lattice strain needs to be observed as it is caused by the increase and decrease in the d -spacing having a linear effect on the early and late 2θ positions. In a related study, the strain mechanism for the elastic properties of the material was linked to the energy density of the unit cell . The change in lattice size will also provide opportunities for outer atoms to fill, substitute, or sit in suitable positions, thus triggering changes in the magnetic saturation and coercivity properties of the material .…”
Section: Resultsmentioning
confidence: 99%
“…As shown in Figure d, lattice strain needs to be observed as it is caused by the increase and decrease in the d -spacing having a linear effect on the early and late 2θ positions. In a related study, the strain mechanism for the elastic properties of the material was linked to the energy density of the unit cell . The change in lattice size will also provide opportunities for outer atoms to fill, substitute, or sit in suitable positions, thus triggering changes in the magnetic saturation and coercivity properties of the material .…”
Section: Resultsmentioning
confidence: 99%
“…The proportionate constants between their respective stress and strain are the elastic stiffness constants (C ij ) and the stiffness constants (C il ). These are the formulas used to determine the elastic rigidity constant (C ij ) and the stiffness constant (C il ) [31] boldCij=Kboldaboldvboldgbolda $\vcenter{\openup.5em\halign{$\displaystyle{#}$\cr {{\bf C}}_{{\bf i j}}={{{{\bf K}}_{{\bf a v g}}}\over{{\bf a}}}\hfill\cr}}$ boldCil=σ4ptboldx4ptboldCboldiboldj1-σ $\vcenter{\openup.5em\halign{$\displaystyle{#}$\cr {{\bf C}}_{{\bf i l}}={{{{\bf\sigma} }{\bf \ x \ C i j}}\over{1-{{\bf\sigma} }}}\hfill\cr}}$ …”
Section: Resultsmentioning
confidence: 99%
“…These are the formulas used to determine the elastic rigidity constant (C ij ) and the stiffness constant (C il ). [31]…”
Section: Ft-ir Spectroscopy Npsmentioning
confidence: 99%
“…The microstrain ε can be obtained from the slope of the linear plot, and it is found to be 0.016. The strain produced may be owing to the ferroelectric property of CuO NPs. , …”
Section: Resultsmentioning
confidence: 99%