Synthesis and Characterization of Co_0.8-x Ni_x Zn_0.2 Fe₂O₄ Ferrites by Williamson–Hall and Size–Strain Plot Methods

Abstract

The Co-Zn ferrite (x=0.00) and Nickel doped Co-Zn ferrites (x=0.24) was synthesized by low cost solid state reaction method and characterized by XRD technique. The X-ray diffraction results for the samples showed the formation of single phase cubic spinel. The lattice constant and particle size for Co-Zn ferrite(x=0.00) is found to be 8.3465 Å and 26.72 nm and for Nickel doped (x=0.24) it is 8.3440 Å and 24.21nm. Micro strain (ε), Dislocation density(ρD), Hopping lengths (LA and LB), Bond lengths (A - O and B-O), Ionic radii (rA and rB), Texture coefficients (Thkl) and Standard deviation (σ) are also reported. The particle size is confirmed by scanning electron microscope (SEM). The Williamson-Hall plot and stress-strain plot also employed to understand the mechanical properties of materials.

Synthesis, structural, W-H plot and size-strain analysis of nano cobalt doped MgFe2O4 ferrite

“…4. In this approximation, we assume that the ''crystallite size" profile is described by a Lorentzian function and the ''strain profile" by a Gaussian function [15,26]. Accordingly, we have: In Fig.…”