Studying Variance Method of X-Ray Diffraction Line Profile Then Develop It to Three New Models for Determine New Parameters

Abstract

In this study have been determined the crystallite size and lattice strain of ZnO nanoparticles by using variance and have been developed the variance method by presenting three new models (UDVM, UDSVM and UDEDVM) to determine lattice parameters such as crystallite size, lattice strain, stress and energy density for the first time. In variance method we have calculated the values of crystallite size, mean square strain and lattice strain (22.276 nm), (0.133473 x 10^-3) and (14.479619 x 10^-3) respectively. We have calculated the values of crystallite size and lattice strain (22.276 nm) and (14.47962 x 10^-3) respectively by using UDVM, the values of crystallite size, stress and lattice strain (22.276 nm), (3.7266 x 10^-3 TPa) and (14.48006 x 10^-3) respectively by using UDSVM and the values of crystallite size, stress, energy density & lattice strain (22.276 nm), (2.9957 x 10^-3 TPa), (21689.7 KJ/m³) and (14.48024 x 10^-3) respectively by using UDEDVM.