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Unstable  Nuclei  and Radioactive Decay             83


               shorter-lived species to have died. The decay line related to this species can be extrapolated
              back to t  =  0 and this line subtracted  from the observed decay curve.  The resulting  curve
               should be the linear decay due to the shorter-lived species in the sample (line B).  For more
               complex mixtures,  this process may be repeated until the curve is completely resolved into
               linear  components.
                Sometimes it is possible in mixed decay to observe preferentially the decay of one species
               by proper choice of detection technique.  For example, a proportional  counter may be used
               at an operating  voltage  that  allows  detection  of u-decay  (~  >  0) but  excludes  detection
               of B-decay (fib  =  0).  By contrast a typical Geiger counter can be used for B-decay but does
               not detect a-radiation  since the c~-particles do not penetrate the window of the Geiger tube.
               These  problems  are discussed  more extensively  m  Ch.  8.


                                       4.13.  Radioactive  decay  units

                The SI unit for radioactivity  is the Becquerel  (Bq),  and the activity is given in reciprocal
               seconds,  s- 1.

                                  1 Becquerel  (Bq)  =  1 (disintegration)s-1      (4.48a)

               The  measured  count  rate  (R,  in  (4.45))  is given  in  counts per second  (cps)  or per minute
               (cpm);  the abbreviations are in German Impulse pro minute (Ipm), and in French coups de
               minute  (c/m).
                An  earlier unit,  still  in  some use,  is the  Curie  unit  (abbreviated  Ci)  defined  as:


                                     1 Curie  (Ci)  =  3.7  x  1010 S -1  (Bq)     (4.48b)
               The  Curie unit  was originally  defined as the number  of decays per unit  time and  gram of
               226Ra,  assuming  its half-life  to be  1580 y.
                The specific radioactivity S is defined as the decay rate A per unit amount w of an element
               or compound,

                                                S  =  AIw                           (4.49)

               The SI unit of specific radioactivity is Bq kg- 1.  For practical purposes it is sometimes also
                                                                                       ,,
                              I
                                                                  ,,
                                           I
               defined in dpm g-  or @m mole-  . Activity concentration (or  radioactive concentration  )
                             3
                                      1
               is given in Bq m-  or Bq 1-  . With the half-life of 1599 +4 y the specific activity per gram
                                                         12
                                          10
               of  226  Ra is 0.988 Ci or 3.65  x  10  Bq or 2.19  x  10  dpm. The specific activities of some
               of the longer-lived naturally occurring  radioactive species are:  K,  31.3  kBq kg-1;  232Th '
               4.05  MBq  kg -  1;  2380,  12.4  MBq kg- I.
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