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X-ray spectroscopy 331
             sampled is passed through a tube located between   Stepwise fluorescence  This entails excitation  of
             source and detector, and the absorption is a mea-   the atom to a high energy level. The atom is then
             sure  of  the  mercury vapor  in  the  air. There  are   de-activated  to  the  first  excited  state.  There,  it
             many instruments manufactured for this purpose.   emits  resonance  radiation  on  returning  to  the
             and all are very sensitive with limits of detection of   ground state, e.g., the emission of sodiilm fluor-
             around 0.1 ppm by volume.                escence at 589 nm, following excitation at 330.3 nm.

                                                      Sensitized  fluorescence  This  occurs  when  the
             162.3  Atomic fluorescence spectroscopy   atom in question is excited by collision with  an
                                                      excited atom of another species and normai reson-
             This  is  a  technique  closely  allied  to  atomic   ance fluorescence follows. Thallium will fluoresce
             absorption. To initiate atomic fluorescence, neu-   at 377.6nm and 535nm following a collision of
             tral atoms in a flame cell are excited as in atomic   neutral  thallium  atoms  with  mercury  atoms
             absorption, Le., by absorption  of a characteristic   excited at 253.7nm.
             radiation. Fluorescence occurs when these atoms   An  instrument  used  to  determine  trace
             are de-activated  by  the emission of  radiation  at   amounts of elements in solution by atomic fluor-
             the same or a different wavelength. The fluores-   escence very simply consists of (a) an excitation
             cent wavelength is characteristic  of the atoms in   source which can be a high intensity hollow cath-
             question  and  its intensity is  proportional to the   ode lamp, a microwave-excited electrodeless dis-
             atomic  concentration.  In  practice,  initiation  is   charge  tube,  some  spectral  discharge  lamps  or
             achieved  with  a  high  intensity  source,  and  the   more recently. a tunable dye laser; (b) a flame cell
             fluorescent signal emitted by the atomic vapor is   or a graphite rod as in atomic absorption: and (c)
             examined  at  right  angles  by  passing  it  into  a   a detection system to measure the fluorescence at
             radiation detection system. Very briefly the basic   right angles to the line between source and flame.
             equation  relating  the  intensity  of  a  fluorescent   The  detection  system is usually a  simple mono-
             signal to atomic concentration is
                                                      chromator or narrow  band  filter  followed by  a
                 F  = 2.303dIoe~lcp                   photomultiplier  tube,  amplifier,  and  recording
                                                      device. Limits  of  detection  are  achieved  which
             where F is the intensity of fluorescent radiation, 0   are much  lower than  those  obtained  by  atomic
             the  quan'rurn efficiency (which factor  has  to  be   absorption  because it is easier to measure  small
             used  to  account  for  energy  losses by  processes   signals against  a zero background  than to mea-
             other  than  a  fluorescence), Io  is  the intensity  of   sure small differences in large signals as is done in
             the excitation radiation, eA the atomic absorptiv-   atomic  absorption.  Detection  limits  as  low  as
             ity at the  wavelength of  irradiation,  1 the flame   0.0001 ppm are quoted in the literature.
             path  length.  c  the  concentration  of  the  neutral
             atom absorbing species, and p  a proportionality
             factor relating to the fraction of the total fluores-
             cence observed by the detector. Thus: F  = Kdoc   16.3  X-ray spectroscopy
             for  a  particular  set  of  instrumental  conditions,
             and c is proportional to F, and F will increase if   16.3.1  X-ray fluorescence spectroscopy
             the intensity of the irradiating source is increased.   Many books have been written about this techni-
               There are four types of atomic fluorescence.   que and only a brief outline is given here.
                                                        The technique is analogous to atomic emission
             Resonance j%orescence  This is the most intense   spectroscopy  in  that  characteristic  X-radiation
             type  of  fluorescence  and  most  widely  used  in   arises from energy transferences involved in  the
             practice. It occurs when the fluorescent and exci-   rearrangement  of  orbital  electrons  of  the  target
             tation wavelengths are the same, that is, the atom   element following ejection of  one  or more  eiec-
             is excited from the ground state to the first excited   trons  in  the  excitation  process.  The  electronic
             state  and  then  emits  fluorescent  energy  on  de-   transitions involved are between orbits nearer  to
             activation  to the ground state.         the nucleus (see Figure 16.14).
                                                        Thus if an atom is excited by an electron beam
             Direct  line fluorescence  Were.  the valence elec-   or a beam  of X-rays, electronic transitions take
             tron is excited to an energy level above the first   place, and characteristic X-radiation is emitted for
             excited  state.  It  is  then  de-activated  to  a  lower   that atom. If. after collimation, these X-rays fall
             energy ievel  (not the ground  state), and fluores-   on to a crystal lattice-which  is a regular periodic
             cent energy is emitted. The wavelength of fluor-   arrangement  of  atoms-a   diffracted  beam  will
             escence is longer than the excitation wavelength,   only result in certain directions, depending on the
             e.g.,  the  initiation  of  thallium  fluorescence  at   wavelength of the X-rays A, the angle of incidence
             535 nm by a thallium emission at 377.6 nm.   0,  and  atomic  spacing  within  the  crystal  d.
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