“…In addition, it can be seen that the sample's mean grain size D determined by the Debye-Scherrer method from the (002) films are in a uniform state of stress with the tensile components parallel to c-axis [34], which is attributed to the larger ionic radius of Nd 3+ (0.108 nm) compared to the Zn 2+ ion (0.074 nm). This radius mismatching increases the lattice constants "a" and "c", implying a unit cell expansion in ZnO:Nd 3+ films [26]. Regarding the XRD patterns in Fig.3a, only "c" parameter M A N U S C R I P T…”