Modeling of the experimental transmittance trend near the band gap edge: a case study of zinc oxide thin films prepared by the spray technique
摘要
The transmittance trend near the band gap edge in thin films is a critical factor for accurately determining their optical properties. For very thin films, however, this region is often misinterpreted due to substrate–film interference effects associated with incomplete substrate surface coverage. To elucidate these effects, we have investigated the evolution of optical transmittance in spray-deposited ZnO thin films as a function of deposition time. The films were deposited onto glass substrates with deposition time ranging from 0.5 to 8 min. The resulting UV–Vis transmittance spectra exhibited a distinctive "waterfall-like" profile in the UV region (300–400 nm). This feature is characteristic of partially covered substrates with progressive thicknesses increasing from ~ 50 nm to ~ 350 nm. Band gap energies were determined using two complementary approaches: (i) First-derivative of transmittance curves, and (ii) refined Tauc plot extrapolation. Two theoretical models based on Gaussian and Cauchy distributions were proposed for predicting and rationalizing the transmittance trend.