292 Chapter Eight
Representative coordinate
Excited state
Energy
Vibrational transition
Ground state
Figure 8.24The origin of fluorescence. The emitted radiation is lower in frequency than the absorbed
radiation.
vibrational spectra because they lack permanent dipole moments, nevertheless have
electronic spectra whose rotational and vibrational fine structures enable moments of
inertia and bond force constants to be found.
Electronic excitation in a polyatomic molecule often leads to a change in the mol-
ecule’s shape, which can be determined from the rotational fine structure in its band
spectrum. The origin of such changes lies in the different characters of the wave
functions of electrons in different states, which lead to correspondingly different bond
geometries. For example, the molecule beryllium hydride, BeH 2 , is linear (H—Be—H)
in one state and bent (H—Be) in another.
H
Fluorescence
A molecule in an excited electronic state can lose energy and return to its ground state
in various ways. The molecule may, of course, simply emit a photon of the same frequency
as that of the photon it absorbed, thereby returning to the ground state in a single step.
Another possibility is fluorescence.Here the molecule gives up some of its vibrational
energy in collisions with other molecules, so that the downward radiative transition orig-
inates from a lower vibrational level in the upper electronic state (Fig. 8.24). Fluorescent
radiation is therefore of lower frequency than that of the absorbed radiation.
Fluorescence excited by ultraviolet light has many applications, for instance to help
identify minerals and biochemical compounds. Fabric “brighteners” that are sometimes
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