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42                                                       ~arshick


                 Although  the  average  energy of glow  discharge  electrons  (reported to be  on
                                                                or
            the order of  2-4  eV) is not  high  enough  to  ionize  many  elements the discharge
            gas  [23,47,48],  the Boltzmann  distribution  of  energies  provides  a  fraction  of
            electrons with  enough  energy to ionize all elements.  Chapman  [23]  has  performed
            calculations  using the Maxwell-~oltzmann distribution to determine the fraction
            of  electrons  with  enough  energy  to  cause  ionization of  the  noble  gases, For  a
            thorough  account of  these calculations, the reader is referred to the  book Glow
            Discharge Processes [23].
                 The second  major  ionization  mechanism  in  an  abnormal  glow  discharge
                                                                           is
            named  for  F.  M.  Penning,  who  discovered   the  effect  in  1925  [49].  Penning
            ionization  involves  the  transfer of energy from a metastable  state of the  discharge
            gas to ap atom or molecule. If  the ionization  potential of the  atom or molecule is
            lower  than  the  energy of the metastable state, ionization  can  occur.  This  process
            may  be  thought  of  as  nonselective  since  different  elements  generally  exhibit
            similar ionization cross sections for Penning  ionization.  Metastable states are
                                    of
            created  through  the  excitation discharge  gas  atoms into an  electronic  level  from
            which  radiative  decay is forbidden  by  transition  selection  rules. For argon  these
            are  the 3P, and 3P, states at 11 S eV and 1 1.7 eV, respectively.  Metastable  species
            are  long lived, existing for several  milliseconds  under  typical  discharge  conditions
                                                                for
            [50]. In addition,  metastable  species  have  a  reported  cross  section ionization  an
            order of magnitude or more  higher  than  electrons.  For  these  reasons,  metastable
            atoms  play  a  disproportionate  role  in  ionization  in  some  discharges  [ 12,5 1-53].
            Table 2.1 lists the metastable states for the  rare  gases  most  often  used  in CDMS.
                 Other  mechanisms  besides  electron  and  Penning ionization  have been
            shown  to  contribute to the ionization of sputtered  neutral  species,  but  their  roles
            are  believed to be less sig~~cant. Table  2.2 is a partial list of these  mechanisms.
            These  are  reviewed in detail  elsewhere 154-571.  Since factors  such  as  discharge
            pressure,  type  of discharge  gas, electron energy  and  number  density,  and  cathode
            geometry all influence the ionization  process,  no  one  mechanism has surfaced as
            dominant  in all glow  discharge  devices.




                    Low-Lying  Metastable  Levels  of Rare  Gas  Atoms
             Gas  Metastable  energy  (eV)  Ionization  potential  (eV)  Spectroscopic  notation
             He  19.8,  20.7                24.58              23s, 21s
             Ne  16.6,  16.7                21.56              3P2,  3P0
             Ar        11.5,  11.7           15.76             3p2, 3P0
             Kr         9.9,  10.5           14.00             3P2, 3P0
             Xe  8.3,  9.4                   12.13             3P2,  3P0
             Source: Ref. 25.
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