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Energy band engineering of metal oxide for enhanced visible light absorption  53

           4.2.3   Excitation and recombination of charge carriers

           The charge carriers generated in a semiconductor upon light illumination can be
           extracted for further applications, that is for “optoelectronics.”  Various electronic
             transitions are possible upon light excitation because semiconductors' crystals are not
           perfect and they contain various intrinsic defects or are manually doped with impuri-
           ties for special purposes (Fig. 4.3) [17–23]. In addition to the band-band transitions
           (a), an excitation of an electron from a donor state or an impurity level (b) into the CB
           (or from the VB to a acceptor band, (c) is feasible. If the impurity concentration is very
           small, the absorption cross section and the corresponding absorption coefficient will
           be smaller by many orders of magnitude than those for a band-band transition.
              The excited charge carriers are apt to relax back to their equilibrium states. This
           is the recombination of charge carriers. There are three popular recombination mech-
           anisms (Fig. 4.3): radiative recombination (d), trap recombination (e), and Auger re-
           combination (f), respectively [19–23]. Radiative recombination is the reverse process
           of the band-band absorption, where the photogenerated electron drops back to its
           empty equilibrium energy band and at the same time radiates a photon. The pho-
           ton emitted may have the energy of the band gap or less. This recombination oc-
           curs primarily in direct band gap semiconductors. The trap recombination, also called
           Shockley–Read–Hall recombination, occurs when an electron falls into an internal
           band trap state caused by an alien doping or a structural defect. This type of recombi-
           nation always takes place when the defect level lies near the middle of the forbidden
           band. Therefore impurities that introduce energy levels near midgap (deep-level) are
           very effective recombination centers. This also happens on the surface, where there is
           an abundance of defects that introduce trapping states. Therefore trap recombination
           by defect levels contributes significantly to charge carriers' loss at surfaces. Auger re-
           combination is similar to radiative recombination, but the excess energy given off by
           the electron is transferred to a second electron instead of just emitting the energy as a
           photon. Photocatalysis takes place if the photogenerated charge carriers separate and
           survive to the surface for chemical reactions without being recombined, which will be
           discussed in the following sections.



                                            CB

                                         E A
                                    b
                                a       c      d   e   f
                                    E D


                                            VB
           Fig. 4.3  Excitation and recombination of electrons in a semiconductor. a: band-band
           absorption, b and c: intraband absorptions, d:radiative emission, e: trap recombination,
           and f: Auger recombination.
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