“…Cody et al 1 hypothesize that this observation occurs due to a fundamental curvature in the spectral dependence of ͱ ␣ប, ␣͑ប͒ denoting the optical-absorption spectrum, thicker films sampling the optical-absorption spectrum over a lower range of photon energies, and thus, taking this curvature into account, yielding lower Tauc optical gaps than their thinner counterparts; the determination of the optical gap using the most common form of the approach of Tauc et al 2 requires a linear extrapolation of the spectral dependence of ͱ ␣ប, a plot of the dependence of ͱ ␣ប on the photon energy, ប, often being referred to as a Tauc plot, the intercept of this linear extrapolation with the abscissa axis corresponding to the Tauc optical gap. 9 Talukder et al, 3 Demichelis et al, 4,5 and El-Naggar, 8 who all employed the approach of Tauc et al 2 in their determinations of the optical gap associated with a-Si: H, 10 instead argued that this increase in the Tauc optical gap associated with a-Si: H corresponding to diminished film thickness arises as a consequence of the increasingly important role that inhomogeneities play in thinner films. 11 Nguyen et al, 7 who measured the optical properties of extremely thin a-Si: H and crystalline silicon ͑c-Si͒ films, i.e., films as thin as 0.0005 m, suggested that the increases in the optical gap that they observed corresponding to diminished film thickness arise as a consequence of quantum confinement effects for the case of c-Si and possibly the increasingly important role of hydrogen for the case of a-Si: H; a link between quantum confinement and the presence of hydrogen within a-Si: H was suggested by Brodsky 12 and O'Leary et al 13,14 Clearly, each of these effects can contribute to this experimentally observed phenomenology.…”