Estimation of Lattice Stress and Strain in Zinc and Manganese Ferrite Nanoparticles by Williamson-Hall and Size-Strain Plot Methods

摘要

The Williamson-Hall (W-H) analysis and size-strain plot method (SSP) were used to study the lattice stress, strain and crystalline size of zinc (ZnFe_2O_4) and manganese (MnFe_2O_4) ferrite nanoparticles. These nanoparticles were synthesized by chemical co-precipitation method and characterized by powder X-ray diffraction analysis (PXRD). The PXRD results revealed that the sample product was crystalline with mixed type spinel with cubic structure. The crystalline development in the ZnFe_2O_4 and MnFe_2O_4 was investigated by X-ray peak broadening. The physical parameters such as strain, stress and energy density values were calculated more precisely for all the reflection peaks of PXRD using the W-H plots and SSP method. The variation in particle size, lattice strain, stress and energy density calculated from W-H analysis and SSP method reveals a nonuniform strain in the particles. This nonuniform strain was increased when the particle sizes were increased.