The effect of cobalt substitution on the structural and elastic properties of MnFe2O4 nanoparticles

In this paper, a comprehensive study of structural and elastic properties of MnFe2-xCoxO4 (x = 0.00, 0.40, 0.80, 1.20, 1.60, 2.00) nanoparticles, prepared by citrate-nitrate methodhas, been carried out. Samples were structurally analyzed using X-ray diffraction and Rietveld refinement. The results showed that the structure of the samples could be indexed in cubic symmetry with the space group Fdm, which is confirmed by Fourier transform infrared spectroscopy. The values ​​of the elastic constants of the samples were calculated using the values ​​of the structural parameters as well as the frequencies obtained from the infrared spectrum of the samples. The values ​​of shear and transverse wave velocities obtained from force constants were used to determine the values ​​of Young's modulus, rigidity modulus, bulk modulus, and Debye temperature. The change in the elastic values ​​of the studied samples can be explained in terms of the presence of Co ions and the bond lengths obtained from the Rietveld method.