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56                  Radiochemistry and Nuclear Chemistry

               stable odd-even isotopes of technetium.  The longest lived isotopes of technetium are those
               with A  =  97  (2.6 •  106  y), A  =  98  (4.2)< 106 y),  and A  =  99  (2.1 •  106 y).  Figure  3.8
               shows  the decay  scheme  for A  =  99,  which is taken out of a  standard Isotope Table;  the
              vertical  axis  shows the relative binding energies (broken  scale).  The Figure illustrates  the
               information  normally  presented  in  isotope  tables,  and  will  be  further  explained  in
               subsequent  chapters.
                Hundreds  of kilograms  of 99Tc and  its precursor (fore-runner)  99Mo are  formed  every
               year as  fission  products  in nuclear  reactors,  and  10's  of kg  of Tc have been  isolated  and
               studied chemically.  Its properties  resembles those of its homologs in the Periodic  Table  -
               manganese and rhenium.  Figure 3.8  shows decay schemes for mass number 99:  the upper
               one  from  Shirley  et  al,  1986,  the  lower  one  from  Dzhelepov  et  al,  1961;  more  detailed
               schemes  appear  in  both  references.  The  ones  shown  in  Figure  3.8  were  chosen  for
               pedagogic  reasons,  and,  for  this  purpose,  we  have  also  inserted  explanations,  some  of
               which will be dealt with later.  Older references are often still useful for rapid survey, while
               the newest  ones  give the most recent  information and  refined  numerical  data.
                The  upper  left part of Figure 3.8  shows a decay chain  from fission of 235U that ends in
               99Ru, the most stable isobar ofA  =  99.  The lower diagram shows that the 99Mo/J-  decays
               all reaches  the spin/parity  a/~-  level,  designated 99mTc; this isomer decays with t~  6.02 h
               to  long-lived 99Tc,  emitting a  single 3' of 0.142  MeV  (>  99 %,  see upper diagram).  The
               isomer  99mTc is  a  widely  used  radionuclide  in  nuclear  diagnostics  (w   and  can  be
               conveniently  "milked"  from its mother 99Mo,  see  w


                                      3.9.  Other  modes  of  instability


                In this chapter we have stressed nuclear instability to beta decay.  However, in w   it was
               learned  that  very  heavy  nuclei  are  unstable  to  fission.  There  is  also  a  possibility  of
               instability to emission of ix-particles in heavy elements (circles in Figure 3.1) and to neutron
               and  proton  emission.
                Nuclei  are  unstable  to  forms  of decay  as indicated  in  Figure  3.1.  For example,  making
               a  vertical  cut  at  N  =  100,  the  instability  from  the  top  is  first  proton  emission,  then,
               a-emission (for N  =  60 it would instead be positron emission or electron capture,  as these
               two  processes  are  about  equally  probable),  and,  after  passing  the  stable  nuclides  (the
               isotones  170  Yb,   169  Tm and  168  Er),/3-emission and, finally, neutron emission. This is more
               clearly indicated in Appendix C, and for the heaviest nuclides (i.e.  Z  _> 81) in Figures 5.1
               and  16.1.  For ix-decay the Figure indicates that for ,4  >  150 (Z  >  70, N  >  80) the nuclei
               are a-unstable,  but in fact t~-decay is commonly observed only above A  ~  200.  This is due
               to  the  necessity  for  the  c~-particle  to  pass  over  or  penetrate  the  Coulomb  barrier  (of.
               w       Although neutron  and  proton emissions are  possible energetically,  they are  not
               commonly observed  as  the competing/3-decay  processes  are much  faster.


                                             3.10.  Exercises

                3.1. Calculate the nucleon binding energy in 2~lg from the atomic mass excess value in Table 3.1.
                3.2.  How many times larger is the nucleon binding energy in 24Na than the electron binding energy when the
               ionization potential of the sodium atom is 5.14 V?
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