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Uses of Radioactive  Tracers                 249



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                                           MILLILITER  OF  TITRANT
                                       FIG.  9.4.  Radiometric  titration  curves.


              samples).  In  some  cases  results  from  different  laboratories  on  common  samples  using
              various analytical techniques have differed by factors of 103 to 105 ! Because the radioactive
              tracer can be proven to be  "atomically pure"  (i.e.  the radiation given off is unique for the
              radioisotope and element),  it offers an absolute standard.



              9.3.2.  Isotope dilution analysis  using radiotracers

                In  complex  mixtures  of compounds  (for  example,  in  organic  synthesis  or  biochemical
              systems) it may be quite difficult to ascertain the exact amount of a specific component.  A
              widely used technique of considerable value is isotope dilution analysis. This can be applied
              either  with  stable  isotopes,  in  which  case  the  detector  is  a  mass  spectrometer,  or  with
              radioactive isotopes,  using measuring techniques presented in Chapter 8.  The use of stable
              isotopes  is usually  limited  to geologic samples,  as describe~ in  w   but may be applied
              to biological samples using highly enriched 13C, 15N or  180.  However, the technique with
              radiotracers  is more common due to its simplicity and lower cost.
                A  small  radiochemically  pure  amount  (w 0 g) of the  selected compound  ('reference')  is
              added  to  the  complex  sample  containing  the  unknown  amount  (w u  g)  of  the  same
              compound.  The reference may be either an element or a labeled compound, whose specific
              activity  is known  (S O Bq/g).  After  intimate mixing,  the  selected compound  is  isolated  in
              high purity but not necessarily in high yield.  The separated compound is weighed (w m, g)
              and counted (R m Bq) so that its specific activity (S m, Bq/g) can be calculated.  The method
              is pictured schematically in Figure 9.5.  The weight,  w u, of the selected compound present
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