12.16 In many cases it is possible to assume that an absorption band has a Gaussian line shape (one proportional to e-*)

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12 16 In Many Cases It Is Possible To Assume That An Absorption Band Has A Gaussian Line Shape One Proportional To E 1 (35.81 KiB) Viewed 46 times

12.16 In many cases it is possible to assume that an absorption band has a Gaussian line shape (one proportional to e-*) centered on the band maximum. (a) Assume such a line shape and show that A = E()dý = 1.0645&max A1/2 1- 40 where Ať,2 is the width at half-height. (b) The electronic absorption bands of many molecules in solution have half-widths at half-height of about 5000 cm-'. Estimate the integrated absorption coefficients of bands for which (i) Emax = 1 x 10' dmmol-'cm' and (ii) & max = 5 x 102 dm' mol-'cm!