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Absorption of Nuclear Radiation                 137


                              II


                          ~  i
                          uJ
                          .=1
                          _o
                          .o
                          O O   BREI~ST
                          .i










                              0       0.060     0.100    0.150    0.200
                                             PARTICLE ENERGY (MeV)
                      FIG. 6.10. Beta-spectrum (right curve)and bremsstrahlung spectrum in aluminum for 147pm.
                      The ordinate of the bremsstrahlung  spectrum is enlarged about  100 times.


               bremsstrahlung emission is the predominant mode of energy loss in lead.  However,  for the
               energies  in  radioactive  decay,  bremsstrahlung  can  usually  be neglected  -  particularly  for
               absorption  processes  in  material  of low  atomic  weight.  The  ratio  of specific energy  loss
               (dE/dx)  through  bremsstrahlung  to  that  through  collision  (i.e.  all  other  processes)  is
               approximately:

                                     (dE/dX)brems/(dE/dX)col I  ~.  E e Z/800       (6.15)

               where E e is kinetic energy of the electron (MeV)  and Z the atomic number of the absorber
               atoms.
                Figure  6.10  shows  the  bremsstrahlung  spectrum  obtained  in  aluminum  for/~-particles
               emitted  by  147pm.  In  this  case  a  very  small  fraction  of  the/~-energy  is  converted  into
               radiation.  The  bremsstrahlung  spectrum  is  always  of much  lower  energy  than  that  of the
               /~-spectrum.  Bremsstrahlung  sources  of  a  wide  variety  of  energies  are  commercially
               available.  Recently  special  electron  accelerators  have been  designed  for  the  sole  purpose
               of producing  bremsstrahlung  radiation  to be used  for (analytical)  X-ray excitation and  for
               medical  irradiation  purposes;  see Ch.  13.


               6.4.3.  C.erenkov radiation

                The velocity of light in matter c depends  on  the refractive  index  n r

                                               c=  cn r  1                         (6.16)

               In water  n r  =  1.33,  in plexiglass  1.5./~-particles  with energies  >  0.6  MeV  move  faster
               than  light  in  water.  When  the  particle  velocity  (vp)  >  c,  electromagnetic  radiation  is
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