Structural and mechanical properties of AFe2O4 (A = Zn, Cu0.5Zn0.5, Ni0.3Cu0.2Zn0.5) nanoparticles prepared by citrate method at low temperature

Document Type : Original Research Paper


School of Physics, Damghan University (DU), Damghan, Islamic Republic of Iran


In this work, the structural and elastic moduli properties of ZnFe2O4, Zn0.5Cu0.5Fe2O4, and Ni0.
3Cu0.2Zn0.5Fe2O4 ferrites prepared by the citrate method have been investigated. The structural
characterization of the samples is evidence for a cubic structure with Fd-3m space group. The
Halder-Wagner analysis was used to study crystallite sizes and lattice strain and also stress
and energy density. The cation distribution for each composition has been suggested. The
experimental and theoretical lattice constants were found to be in good agreement with each
other confirming the agreeability of the suggested cation distribution. The force constants
for tetrahedral and octahedral sites have been determined by infrared spectral analysis. The
increase in force constants of ZnFe2O4 nanoparticles compared to other samples suggests the
elastic properties of this sample is better than the other samples. The values of Young’s modulus,
rigidity modulus, bulk modulus, Debye temperature have been determined. In addition,
using the values of the compliance sij obtained from elastic stiffness constants, the values of
Young’s modulus and Poisson’s ratio along the oriented direction have been calculated for the
samples. Consequently, we can conclude the ZnFe2O4 nanoparticles could be more useful in
industrial applications because of their elastic properties compared to other samples.