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74                  Radiochemistry and Nuclear Chemistry

               G.  Flerov found that 238U in addition to or-decay also had a competing mode of radioactive
               decay termed spontaneous fission.  In this mode two heavy fragments (fission products) are
               formed in addition  to some neutrons.  The reaction may be written


                                              alX  +  ~X 2  +  m
                                         ~X  "~ ZI  1                              (4.38)
               where v is the number of neutrons,  usually 2  -  3.  The half-life for spontaneous  fission of
               238U is very long,  about  8 •  1015 y.  This  means that about 70  fissions occur per second
               in  1 kg  of  238U, which  can  be  compared  with  the  simultaneous  emission  of  45  •  109
               c~-particles.
                With increasing Z,  spontaneous fission becomes more common;  i.e.  the half-life for this
               decay process decreases.  For 2944~ it is  1.2 •  1011 y;  for 2~Cm,  1.4 •  107 y;  for 252~c
                                                                                    98""
               66 y; and for 256-   3 •  10 -4 y. In fact, spontaneous fission becomes the dominating decay
                          100 rm,
               mode  for the heaviest nuclei  (see Fig.  3.3).
                Spontaneous fission is in some ways similar to fission induced by bombardment with low
               energy neutrons  (w 14.7).



                                         4.7.  Rare modes of  decay

                Radioactive  decay by proton  emission  is  a  very  seldom observed  decay  mode  for  very
               neutron deficient  nuclides because decay by/3+  or EC normally has a very  much shorter
                                            +
               partial half-life (w   Decay by p  has been observed for  53m  Co (Ep 1.55 MeV, tth 0.25
               s,  ~ 1.5 %).  However,/~+  decay sometimes  leads to a proton-unstable excited state which
               immediately (<  10-12  s) emits a proton.  Several/3+  emitters from 9C to 41Ti with N  =
               Z  -  3 have/3+  delayed proton emission with half-lives in the range  10 -3  -  0.5  s.  Also
               radioactive  decay by  simultaneous  emission  of two protons  has  been observed  for  a  few
               proton  rich nuclides,  e.g.  16Ne '  tt,~ ~. 10-2~ s.
                Among  the very neutron  rich nuclides,  e.g.  some fission products,/3-  delayed neutron
               emission is observed.  This decay mode is similar in nature to the/3 + delayed p + emission.
               Delayed n-emission  is important  for the safe operation of nuclear reactors,  see Ch.  19.
                Decay by emission of particles heavier than o~, e.g.  12C, 160, is energetically possible for
               some heavy a-emitters  and has been observed in a few cases.


                                   4.8.  Decay schemes and  isotope charts

                Information on the mode of decay, the decay energy, and the half-life are included in the
               nuclear decay scheme.  A  number  of simplified  decay  schemes  are  shown  in  Figure  4.5.
               Figure  3.8  explains a more detailed decay scheme,  for A=99.
                Using  Figure  3.8  as  a  guide,  the  decay  schemes  in  Figure  4.5  are  easily  understood.
               Figure 4.5(c) shows the/3-  decay of the neutron.  The decay scheme of 137Cs (Fig.  4.5(0)
               differs somewhat from what we would expect from the curve in Figure 4.1.  The reason is
               that in the electron spectrum of Figure 4.1,  a small fraction of electrons (8 %) emitted with
               an energy of 1.20 MeV could not be detected because of the insensitivity  of the magnetic
               spectrometer used.  It is common for nuclei to decay through different competing reactions,
               as in  this  case which involves  different/3-rays.  If the higher energy t3-decay had been  as
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