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General features of spectroscopy     305


        radiation associated with a transition between a pair of energy levels E 1 and E 2 is given
        by:
           hv=|E 1−E 2|=|∆E|

        Spectroscopy that probes different magnitudes of energy level separation is associated
        with different regions of the electromagnetic spectrum.
           The analysis of atomic spectra (see Topics G5 and G7) yields information about the
        electronic structure of the atom. Molecules also possess energy due to rotation and to the
        vibration of the bonds between the atoms, so molecular spectra are more complicated,
        since they include rotational and vibrational transitions as well as electronic transitions.
        However, the analysis of molecular spectra provides a wealth of information  on
        molecular energy levels, bond lengths, bond angles and bond strengths. The characteristic
        spectral frequencies associated with particular atoms and molecules also means  that
        spectroscopy  is  widely used for identification of species and monitoring of specific
        reactants or products in, for example, kinetic measurements (see Topic F1).



                               The electromagnetic spectrum
        Electromagnetic radiation is a propagating oscillation  of interconnected electric and
        magnetic fields. The fields oscillate in phase along the direction of propagation as sine
        waves with frequency, v, and wavelength, λ, related by c=vλ, where c is the speed of light
                                  8
                                      −1
        in a vacuum (c=2.9979246×10  m s ). All electromagnetic waves travel at this speed.
        The frequency of electromagnetic radiation is often specified as wavenumber,  :



                                            −1
        with units of reciprocal centimeters, cm . Individual  photons of electromagnetic
        radiation have energy, E:



        i.e. photon energy is proportional to frequency and inversely proportional to wavelength.
        The  wavelength range of electromagnetic radiation encompasses many orders of
                          3
        magnitude, from ~10 m at the low frequency, low energy end, to ~10 −12  m at the high
        frequency, high energy end  (Fig. 1). Different regions of the  spectrum  correspond  to
        different types of radiation. For example, radiation visible to the human eye occurs over a
        very narrow range of wavelengths between about 700 and 400 nm.
           The interaction of the oscillating electric and magnetic fields with the electrical and
        magnetic properties of atoms and molecules gives rise to various forms of spectroscopy.
        Because of the direct relationship between energy and radiation frequency (or
        wavelength), spectral transitions between different types of atomic or molecular energy
        levels are associated with different regions of  the  electromagnetic spectrum. For
        example,  the  rotational energy levels of  molecules are more closely spaced than the
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