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Atomic techniques: emission, absorption, and fluorescence 329
             dard  sample of  known  purity  must be  analyzed   (parts  per  lo9)  with  an  accuracy  of  about
             under  exactly  the  same  conditions  as  the   10 percent.
             unknown samples and the intensity of the spectral
             lines compared.  Thus  a  spectrochemical labora-
             tory may have many thousands of standards cover-   16.2.2  Atomic absorption spectroscopy
             ing the whole range of materials likely to require   In  emission  spectroscopy,  as  we  have  already
             analysis.                                seen, the sample is excited, the emitted radiation
                                                      dispersed and the intensities of the selected lines
                                                      in  the  emission  spectrum  measured.  If  self-
             16.2.1.5  Applications
                                                      absorption  and  induced  emission are neglected.
             There are very few on-line instruments employing   then the integrated intensity of emission of a line
             atomic emission techniques. but mention should   is given by
             be  made  oi'  a  continuous  sodium  monitor  for
             boilerlfeed water.  The water  is nebulized into a
             flame. the sodium emission is isolated by means
             of a monochromator, and the intensity measured   where Nj is the number  of  atoms in  the higher-
             by  means  of  a  photomultiplier  and  associated   energy level involved in the transition responsible
             electronics. Standard solutions are automatically   for the  line, F  is  the  oscillation  strength  of  the
             fed into the instrument from time to time to check   line,  and  C  is  a  constant  dependent  upon  the
             the calibration.                         dispersing and detecting systems. Assuming that
              In both the steel and non-ferrous alloy indus-   the atoms are in thermal equilibrium at tempera-
             tries. large grating spectroscopes are used to con-   ture T, then the number  of atoms in the excited
             trol the composition of the melts before they are   state: of excitation energy Ej is given by
             finally poured. A complete analysis for some 30-
             40 elements can  be  made  within  2 minutes  of  a   p,
             small sample being taken.  Suitable additions are   N, = No - exp (  EjIKT)
                                                                PO
                                                                      ~
             then  made  to  the  melt  to  satisfy  the  required
             composition specification. In these cases the out-   where No is the number  of atoms in the ground
             put  from  the  instrument  is  fed  to  a  computer,   state,  P, and  Po  are  statistical  weights  of  the
             which is programed to produce actual elemental   excited and ground  states  respectively, and K  is
             concentrations  and  also  the  necessary  amounts   Boltzmann's constant. For a spectral term having
             required  to be added to known weights of melts   a total quantum number J,, P is equal to 2J1 + 1.
             in  the  furnaces  for  them  to  be  of  the  correct   From the above equations, it can be seen that the
             composition. Analysis of water  samples or sam-   emitted intensity depends on T and E,. Examples
             ples in  solution  can  be  carried  out using  an  in-   of  the  variation  of  N,INo  with  temperature  are
             ductively  coupled  plasma   direct  reading   given in Table 16.3.
             spectrometer.  Some  60  elements  can  be  deter-   In nearly all cases, the number of atoms in the
             mined  in  each  sample  every  two  minutes.  The   lowest excited state is very small compared with
             source is ionized argon pumped inductively from   the number of atoms in the ground state and the
             an r.f. generator  into which the  sample is nebu-   ratio only becomes appreciable at high tempera-
             lized.  Temperatures  of  about  8500°C  are   tures. The strongest  resonance lines of  most ele-
             achieved.  Many  instruments  of  this  type  are   ments have wavelengths less than OOOnm  and as
             now rnanufactured and have been of great value   temperatures in the flames used are normally less
             to the water  industry  and to environmental che-   than  3000"K,  the value  of  N, will  be  negligible
             mists generally-in   particular,  those instruments   compared with No.
             manufactured  by ARL, Philips, and Jarrell Ash.   In  absorption,  consider  a  parallel  beam  of
             Limits  of  detection  are  of  the  order  of  lppb   radiation  of intensity Io, frequency v  incident on


             Table 16.3  Values of Nil&  for various resonance lines
                                                   _____
             Resonance  line   Transition   P,IPo                  hrjlNo
                                              T = 2000 K   T = 3000K   T = 4000K    T = 5000K
             Cs 852.1 nm   2s,,'-2P1,2   2     4.4 x  10-4   7.24 x  10-3   2.98 x  lo-'   6.82 x  IO-'
             K 766.5 nm    2s,#2-2P1,2   2    2.57 x  10-4   4.61 x    1.65 x       3.66 x  lo-'
             Na 589.0nm    2s,li-2Pi,2   2    9.86 x       5.88 x  10-4   4.44 x    1.51 x  lo-'
             Ca 422.1 nin   Is"-lP,   3       1.21 x  10-7   3.69 x  10-5   6.03 x   3.33 x
             Zn 213.8  nm   lso-lP,   3       7.29 x       5.58 x  lo-''   1.48 x   4.32 x
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