Page 244 - Radiochemistry and nuclear chemistry
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228                  Radiochemistry  alut Nuclear Chemistry

               where 511  is the energy in keV equivalent of one electron mass.
                The broadening of the photo pe~ has many causes such as inhomogeneities in the crystals
               and variations  in charge,  or light,  collection and noise  in the preamplifier.  However,  for
               scintillation  detectors  the  main  cause  is  found  in  the  PMT  where  nonuniformity  in  the
               photocathode,  fluctuations  in  the  high  voltage  imposed  on  each  dynode,  and  statistical
               variations  in  the  small  number  of  photoelectrons  formed  at  the  photocathode  are  all
               contributing  factors.
                The  resolution  is  the  determining  factor  in  the  ability  of  the  system  to  differentiate
               between photo~s  of v-rays of similar energy.  Other features of the spectrum in Figure
               8.19(b)  are the backscatter peak and the X-ray peaks.  The broad backscatter peak,  located
               between the X-rays and compton edge,  arises by the absorption  in the crystal of scattered
               photons  resulting  from  "t-ray  absorption  via  Compton  interactions  in  the  material
               surrounding the crystal. Obviously the magnitude of this peak is dependent on the distance
               of this  material  from the crystal and on the nature and amount of the material.  The X-ray
               peaks  (X  in  Figures  8.15  and  8.19(b))  are due to the absorption  of the X-rays emitted  in
               the  electronic  rearrangement  following  the  nuclear  disintegration,  following  internal
               conversion  or  after  excitation  of materials  near  the  detector.  Bursts  of very  low  energy
               electrons  are  generated  thermally  in  a  semiconductor  or  emitted  spontaneously  from  the
               photocathode in a PMT and are the cause of a noise peak at very low discriminator settings.
               This limits the photon energies that can be studied to a minimum of some thousand electron
               volts.
                For y-energies above  1.02 MeV, pair production in the detector followed by annihilation
               of  the  positron  leads  to  the  generation  of pairs  of 0.511  MeV  photons.  The  probability
               increases rapidly with energy above  1.02 MeV.  One or both of these photons  may escape
               from the detector giving a deposited energy corresponding  to the initial -y-energy less one
               or  two  times  0.511  MeV.  Positrons  are  also  generated  outside  the  detector  and  their
               annihilation  radiation  reaches  the  detector.  This  gives  rise  to  three  smaller  photo  peaks
               called escape peak, annihilation peak and double escape peak at the corresponding energies,
               E. t-0.511  MeV, 0.511  MeV and E.y- 2 • 0.511 MeV, marked 1 e, A and 2e respectively in
               Figure  8.15.
                Coincident  -y-rays emitted in rapid cascade during one decay may hit the detector at the
               same  time  and  register  as  one  event  with  the  combined  energy.  This  gives  two  effects,
               firstly  the  generation  of a sum peak  containing  one  count  per  coincidence  and  secondly
               corresponding  loss  of  one  count  in  each  of  the  peaks  corresponding  to  the  coincident
               photons.  Summing  is strongly dependent on detector size and source to detector distance.
               Finally the coincidence may be purely random at high count rates, giving random summing
               between  -y-rays of all occurring energies.  In this case clear sum peaks will usually not be
               seen (except for sources having a few intense -y-lines), but the corresponding counts are still
               lost  from respective photo peak.
                The  photo  peaks  from  a  well  behaved  detector  are  gaussians.  Thus  the  FWHM  value
               determines  the peak shape.  The energy scale is calibrated against standard isotopes  and is
               normally almost linear.  In most applications only the area below the photo peak but above
               the underlying  continuum  is used as a measure of activity.  The  total efficiency  (based on
               photo  peak area) varies usually with energy in  the way illustrated  by Figure  8.20.
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