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Mass spectrometers 339

             potential  gradient  and may  be  used  to produce   the  electromagnetic  analyzer  where  a  magnetic
             ions. Ions can also be formed by the collision of   field  at  right  angles  to  the  electrostatic  field  is
             an ion and a molecule. This method can produce   applied  (Le.:  at right  angles to  the  plane  of  the
             stable but unusual ions, e.g.,           diagram).  Moving  electric charges constitute  an
                                                      electric current so that if  each carries a charge e
                CI-1;  + CHq  + CH:  + CH,
                                                      and moves with a velocity v, at right angles to a
             and  is  most  efficient  at  pressures  of  about   uniform  magnetic  field  H, each  particle  will  be
             10-'N/m'.                                subject to a force F where F  = Hev in a direction
               It is most important to realize that the process   given by Fleming's left-hand rule, is., in a direc-
             of  producing  ions  from molecules will  in  many   tion mutually at right angles to the magnetic field
             cases split up the original molecule into a whole   and the direction of the stream. Thus the ions will
             range of ions of simpler structure, and the peak of   move in a curved path radius r such that
             maximum height in the spectrum does not neces-   mv2/r = Hey
             sarily represent  the ion of the original molecule.
             For  example.  the  mass  spectrum  of  m-xylene   or
             C6H4(CH& may  contain  22  peaks  of  different   r = mv21Hev = mv1He
             mle  values.  and  the  peak  of  maximum  height
             represents a vnle ratio of 91, while the ions having   but
             the next highest peak have a mle ratio of  106.   mv2 = 2ev  or  v = J(2evlnz)
                                                            r  = (m/eH)J(2e Vim)
             16.7.4  Separation of the ions
                                                      or
             The  mass  spectrometer  shown  in  Figure  16.20
             employs  the  Mattauch-Herzog  geometry,  but   r2 = (m2/e2H2)(2eVIm)
             other forms of geometry achieve a similar result.   = (2 VlH2)(elm)
               The positive ions representative  of the sample   or
             produced  in the ion  source are accelerated by a
             controlled electrostatic  field in a simple gun, the   mle = (H2r2)12 V
             spread of  the ions being controlled by the resol-
             ving slits. If an ion of mass m and charge e can be   At constant values of the electrostatic and electro-
             regarded as starting from rest, then its velocity v   magnetic fields all ions of the same mlr  ratio will
             after  falling through a potential  V volts  will  be   have  the  same  radius  of  curvature.  Thus,  after
             represented by the equation              separation  in  the  electromagnetic analyzer,  ions
                                                      having a single charge will be brought to a focus
                 1                                    along  definite  lines  on  the  photographic  plate
                -my2 = eV
                2                                     according to their mass, starting with  the lowest
             The ion  beam  then  passes  through  the  electro-   mass on the left-hand edge of the plate and increas-
                                                      ing to the highest mass on the right.
             static  analyzer  where  it  passes  between  two   The  ions  will  therefore  give  rise  to  narrow
             smooth  curved  plates  which  are  at  different   bands on the photographic plate, and the density
             potentials, such that an electrostatic field B exists   of these bands will be a measure of the number of
             between them which is at right angles to the path   ions falling on the band. The sensitivity range of
             of the ions. The centrifugal force on the ions will   the plate  is limited, and it is necessary to make
             therefore be given by
                                                      several exposures for increasing periods of time to
                777 v21r = eB                         record  ions  which  have  a  large  ratio  of  abun-
                                                      dance.  By  using  long exposure,  ions  which  are
             Combining the equations we see that the radius of   present in very low abundances may be accurately
             curvature I' of the path will be given by   measured. The intensity of the photographic lines
                r = riz V21eB = 2eC7/eB = 2 VIB       after development of the plate may be compared
                                                      with a microphotometer similar to that used with
             Thus, the curvature of the path of all ions will be   optical spectrometers.
             dependent  upon  the  accelerating  and  deflecting   As  all  ions  are  recorded  simultaneously,  ion
             fields only  and independent  of  the  masslcharge   beam fluctuations affect all lines equally, and the
             ratio. Therefore, if the field B is kept constant the   photographic  plate  also integrates the ions  over
             electrostatic  analyzer  focuses  the  ions  at  the   the whole of the exposure.
             monitor slit in accordance with their translational   The  instantaneous  monitor  current  may  be
             energies.  The  monitor  slit  can  be  arranged  to   measured  and  used  to  control  the  sparking  at
             intercept  a  given  portion  of  the  beam.  The   the electrodes at optimum  by  adjusting the  gap
             energy-focused ion beam is then passed through   between the electrodes.
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