Given a sample absorption spectrum(Figure 1), one can see that it has
a characteristic peak height representing an intensity as well
as a width the center of which usually represents an energy of absorption,
in wavenumbers, nanometers, MHz, or whatever. A sample cell is illustrated
in Figure 2. The incident light,
, enters a cell of path length, l,
and is absorbed by some species with a concentration, c, and extinction
coefficient or absorptivity, a. The amount of light passing through the
sample, I, is a function of the intensity of the incoming light,
concentration of absorbing substance, path length of the cell, and the
absorptivity of the substance.
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This expression for absorptivity is only for one wavelength, when in
reality there is absorption over a range of energies such that an
integrated absorptivity should be calculated. This is what psi calculates
when determining intensities, integrated absorptivities
which reflect the strength of an absorption.
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If we substitute in a path length of 1 cm, a concentration in terms
of
, and the integral as a function of energy in
,
our units become:
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Another quantity often determined is
:
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where
is the center of the absorbance peak.