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240                  Radiochemistry atut Nuclear Chemistry

               earths.  Despite the demonstration of the value of the tracer technique by these early studies
               the technique did not come into common use until after World War II when relatively large
               amounts  of cheap radionuclides  became available through the use of nuclear reactors.
                While it is not necessary to use radioactive isotopes for tracer studies,  in general,  the use
               of radioactivity is simpler and less expensive than the use of stable isotopes.  Research with
               the  latter  requires  rather  sophisticated  and  expensive  measuring  devices  such  as  mass
               spectrometers,  cf.  w   We restrict our discussion  to the use of radioactive tracers.
                Among the advantages of using radiotracers we can list the following:  (a) radiotracers are
               easy  to  detect  and  measure with high precision  to  sensitivities  of  10 -16 to  10 -6 g,  (b)  the
               radioactivity  is  independent  of  pressure,  temperature,  chemical  and  physical  state;  (c)
               radiotracers  do  not affect  the system and can be used in nondestructive  techniques;  (d)  if
               the  tracer  is  radiochemically  pure,  interference  from  other  elements  is  of  no  concern
               (common  in ordinary  chemical  analyses);  (e)  for  most  radioisotopes  the  radiation  can be
               measured  independently  of the matrix,  eliminating  the need for calibration curves.



                                    9.1.  Basic assumptions  for tracer use

                In  some  experiments  answers  to  scientific  questions  which  require  knowledge  of  the
               presence and  concentration  of a  specific  element or compound  at a certain  place and  at a
               certain time can be obtained only through the use of a radioactive tracer.  For example,  self
               diffusion  of  metal  ions  in  solutions  of their  salts  cannot  easily  be  studied  by  any  other
               technique.  However,  in  other  cases  the  use  of  radioactive  tracers  is  not  necessary  in
               principle but is justified by the greater convenience.  In either type of investigation there are
               two assumptions  implicit  in such uses.
                The primary assumption is that  radioactive  isotopes are chemically  identical  with  stable
               isotopes of the same element,  i.e.  the substitution of 14C for 12C in a compound of carbon
               does not change the type or strength of the chemical bonds nor does it affect the physical
               properties  of the compound.  The validity of this assumption  depends  on the precision  of
               measurement of the chemical and physical properties.  The difference in mass between the
               various isotopes does cause some change in these properties  (w   but even in the case of
               14C  and  12C, with  a  mass  difference  of approximately  15 %,  the  isotope  effect  is  rather
               small  and  difficult  to  detect.  Normally  only  for  systems  involving  hydrogen-deuterium-
               tritium  substitution  must  isotope  effects  be  considered.  For  heavier  elements  it  can  be
               neglected  in almost every situation.
                The second assumption in the use of tracer techniques is that the radioactive nature of the
               isotope  does  not  change  the  chemical  and  physical  properties.  Until  the  moment  of  its
               disintegration the radioactive atom is indistinguishable from its stable isotope except for the
               isotopic mass difference. When the radioactive disintegration of the atom has been observed
               ('counted'),  the decay product is normally a different element and its subsequent chemical
               behavior is usually of no interest.  If the disintegration rate is very high, the energy released
               by  the  radioactive  decay  can  cause  observable  secondary  radiolytic  effects  (Ch.  7).
               However,  in well-designed  tracer experiments the level of radioactivity  is high enough to
              provide accurate data but normally small enough not to produce noticeable chemical effects.
                While  the radioactivity of the tracers is assumed not to affect the chemical  systems,  the
               parent-daughter  relationship  of  radioactive  nuclides  needs  special  consideration.  For
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