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Radiation Effects on Matter                   169


                The  relationship  between LET,  which  refers  to  the  energy  absorbed  in  matter,  and  the
               stopping  power,  which  refers to the energy loss of the particle,  is

                                         dElo~/dx  =  dE~b~/dx +  E x                (7.6)

               The difference E x in these two energy terms is related to the energy loss by electromagnetic
               radiation  (mainly bremsstraldung).


               7.1.2.  Uncharged radiation

                When neutrons or photons having the incident particle energy Ein are absorbed,  a certain
               fraction of energy Etr is transferred into kinetic energy of charged particles when traversing
               the distance dx.  We can define an energy transfer coefficient as

                                         P'tr =  Ein -I  dEtr/dx  (re'l)            (7.7a)

               If we neglect the bremsstrahhmg  associated with  the absorption  of the secondary charged
               particles  formed in the initial  absorption processes,  Etr is the energy absorbed (designated
               as Eabs), and we can write (7.7a)  as


                                         pa =  Ein -1 dEabs/dX  (m -1)              (7.7b)


                                           7.2.  Radiation tracks

                The energy lost when a high energy charged particle  is slowed in matter gives rise  to a
               trail  (or,  more  commonly,  track)  of ionized  and  excited  molecules  along  the  path  of the
               particle;  Figure  7.1  schematically  depicts  a  track.  Figure  6.5  shows  cloud  chamber
               photographs  of  such  tracks.  A  photon  imparts  a  large  fraction  of its  energy  to  a  single
               electron which subsequently  ionizes and excites many other molecules along its path.  The
               absorption of any type of ionizing radiation by matter thus leads to the formation of tracks
               of ionized and excited species.  Whereas these species generally are the same in a particular
               sample of matter regardless of the type of radiation,  the tracks may be sparsely or densely
               populated by these species.  Expressions such as linear energy transfer (LET) and stopping
               power (S) are based on the implicit assumption of a continuous slowing down process and
               thus  gives  quantitative  information  on  the  average  energy  loss  but  only  qualitative
               information  on the densities of reactive species.
                Electrons are liberated in the ionization process with greatly varying kinetic energy. If the
               energy of these secondary electrons is relatively low ( <  100 eV) their range in liquids and
               solids is short and the ionizations and excitations caused by these electrons take place close
               to  the primary  ionizations  leading  to  the formation of small spurs containing  ionize~  and
               excited species.  Secondary electrons with high kinetic energy form tracks of their own bran-
               ching  from the primary track.  Such electrons  are called ~-rays.  For high energy electrons
               spurs  are formed  at well  separated  intervals along  the  track whereas  for densely  ionizing
               radiation  such  as  c~ particles,  protons  and  recoil  atomic  ions  the  spurs  overlap  and  form
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