Gaussian absorption band, derivative

If we consider an absorption band showing a normal (Gaussian) distribution [Fig. 17.13(a)], we find [Figs. (b) and (d)] that the first- and third-derivative plots are disperse functions that are unlike the original curve, but they can be used to fix accurately the wavelength of maximum absorption, Amax (point M in the diagram). 

To attribute absorption bands to the individual Co2+ sites, second derivative mode analysis (not shown here) and decomposition of the spectra to the Gaussian curves was used (details of methods see in Refs [5,7,10], The decomposition of the VIS absorption of the... 

Numerical integration is used in the text to show how confidence limits can be derived from the Gaussian error curve. It also enables us to obtain concentrations by measuring areas under chromatographic bands. This procedure is also useful in the analysis of spectral absorption bands. 

Fig. 2.50. UV-VIS derivative spectroscopy, a Zero to fourth derivatization of Gaussian-shaped absorption band b derivative spectra of two superimposed Gaussian bands c derivatives of a shoulder (375)...

Fig. 3.3 First (--------) and second (—) derivative of an absorption band presenting a Gaussian...

Fig. 9. Magnetic circular dichroism selection rules. (A) Transitions between Zeeman-split y (or S) = i paramagnetic ground (G) and excited (E) states. Right circularly polarized (RCP) and left circularly polarized (LCP) transitions are indicated. (B) MCD spectra associated with the energy scheme in (A). The dashed bands correspond to individual left and right polarized transitions, whereas the solid line spectra give the dichroism. The C-term spectrum corresponds to a Gaussian band shape, which peaks at the absorption maximum, whereas an A-term reflects its first derivative which crosses zero at the absorption maximum.

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