Restriction of Particle Size and Lattice Strain through X-Ray Diffraction Peak Broadening Analysis of ZnO Nanoparticles

Abstract

In this study have been determined the crystallite size and lattice strain of ZnO nanoparticles as shown in Figure (1) by using variance and integral breadth methods, and also used some other methods such as Scherrer and Williamson-Hall to calculate above parameters. In variance method we have calculated the values of crystallite size, mean square strain and lattice strain are (22.276 nm), (0.133473 x 10^-3) and (14.479 x 10^-3) respectively, and the crystallite size is (25.126 nm) as well as the lattice strain is (2.443 x 10^-3) by using integral breadth method. The other methods such as Scherrer which gives the value of crystallite size is (17.622 nm) and lattice strain is (6.036 x 10^-3), while the Williamson-Hall gives the following values: crystallite size is (22.063 nm) and the lattice strain is (1.192 x 10^-3).

Keywords: X-ray diffraction, Variance analysis method, integral breadth method.