Page 28 - Radiochemistry and nuclear chemistry
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Nuclei,  Isotopes and Isotope Separation            17


               the masses  m I and m 2 alternately are registered  by the detector,  producing  ion  currents  I 1
               and I 2,  respectively,  the abundance  of each  isotope can be calculated  from the ratios x I  =
              11 I(I 1 + 12) and x 2  =  1  -  x 1 when only two isotopes are present.  The resolution of modem
               mass  spectrometers  can be  extremely high,  as indicated  by  the values  in Table 2.1.


               2.3.2.  Applications


                For several decades,  mass spectrometers were used primarily to determine atomic masses
               and isotopic  ratios.  Now  they are applied  to a large variety of chemical problems and  low
               resolution  mass  spectrometers  are  used  for  routine  chemical  analysis.  For  example,  a
               modern  mass  spectrometer  can  easily  distinguish  between  species  such  as  12CH4+  and
               160+,  having  a  mass  difference  of 0.03686  u.
                Some uses  of mass  spectrometry  of interest  to chemists  involved  in nuclear  science are:
                (a) Molecular weight determination can be made by mass spectrometry if gaseous ions can
               be produced with MIq values not exceeding about 400.  This method is of great importance
               in radiation chemistry  (Ch.  7) where often a large number of products  are produced  which
               may  be  quite  difficult  to  identify  by  other  means  and  in  particular  for  the  analysis  of
               organic  compounds.
                (b)  The  study  of chemical  reactions  directly  in  the  gas  phase  by  mass  spectrometry  is
               possible.  Using an ion source in which molecules are bombarded by a stream of low energy
               (_< 100  eV)  electrons,  ionization  and  dissociation  reactions  can be  studied,  e.g.

                                               +
                            C8H18  +  e-  ~C8H18   +  2e-
                                          l
                                             C4H9 +  +  C3H6 +  +  CH 3"  +  e-
               This  technique has practical application  e.g.  in the petroleum industry  for determining  the
               composition  of distillation  and  cracking  products.
                (c) Isotopic dilution is a technique for determination of the number of atoms of an element
               (or  isotope)  in  a composite  sample (e.g.  rock or biota),  from which  is difficult  to  recover
               the element reproducibly and determine it quantitatively.  The technique is simple to use for
               radioactive nuclides,  as  described  in  w   but  more complicated  and  time  consuming  for
               stable  nuclides.  However,  the  high  precision  of  mass  spectrometry  makes  the  latter
               alternative  more accurate,  and  the  technique  is widely  used  for geologic  dating.
               1)     Suppose  we  have  a  sample  with  unknown  concentration  of  a  certain  element,
                      consisting  of  the  two  isotopes  1  and  2,  and  want  to  determine  the  number  of
                      atoms,  N 2, of isotope 2 in the sample (which, of course must be of known weight).
                      The  number  of atoms  of each  isotope  is  N 1 and  N 2,  thus  N  =  N l  +  N 2,  in  unit
                      sample weight.  By mass spectrometry we determine the isotope ratio  ~'N =  NI/N2"
               2)     We  have  a  reference with  the  same isotopes,  in which  the  isotopic  ratio  ~'p -  P1
                      /P x is known;  P1  is the number of isotope  1, and t'2 of isotope 2 per unit weight.
                      P-PI  +P2.
               3)     The  amount  P  of the  reference  (a  "spike')  is  mixed with  a known  weight  of  the
                      sample containing  the unknown  isotope amount N 2. The mixing must be isotopic,
                      i.e.  a  complete  exchange  must  take  place  between  the  isotopes;  this  is  not  a
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