“…Here, D is the crystallite size (nm), λ is the wavelength of the incident X-ray (nm), β is the full width at half maximum (FWHM) and θ is the diffraction angle [18]. Origin software was used to obtain the value of β and hence, the crystallite sizes of ZnO, ZnO:Al, ZnO:Cu and ZnO:Al,Cu were calculated to be 6.25 nm, 5.67 nm, 9.39 nm and 7.46 nm, respectively.…”