In many amorphous semiconductors and dielectrics the variation of the absorption coefficient ~(co) with photon energy shows three regions. The first is the region of very high absorption. The second extends over several orders of magnitude of ~(co) and the third is described as a weak absorption tail. For the higher values of the absorption coefficient at the absorption edge the form of ~(~) with photon energy was given in quadratic form by Tauc et al. [1] and discussed in more general terms by Davis and Mott [2], whose equation was of the form 0~(0.)) = B(ho) -- eopt)n/h(D (1) where B is a constant, Eopt is the optical gap and n is an index which usually has the value 2 for amorphous materials, this being the value appropriate to absorption by indirect transitions in k-space. According to the above expression Eovt has the value h~o when the quantity (~hco) 1/2 = 0. The third region of the absorption edge at lower values of ~(~) is often described by a relationship developed by Urbach [3]. He assumed that in this region the absorption coefficient was an exponential function of the photon energy h(co) and therefore c¢(oJ) = ~0 exp (hco/AE) where c(0 is a constant and AE is the width of the tail of the localized states. The optical absorption coefficient c((~o) is given by the equation ~(~o) = (l/d) In (Io/It), where d is the thickness of the sample and In Io/It is the absorbance. Here I0 and It are the intensities of the incident and transmitted ultraviolet beams, respectively. Alkaline earth metals like calcium and barium act as network modifiers in glass in a similar way to alkali metals such as sodium. TABLE I Chemicai composition of the glasses (original composition) Glass P205 content CuO content CaO content BaO content sample (mol %) (tool %) (mol %) (mol %) l 65 35 2c
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