﻿Recombination 
  of 
  Ions 
  made 
  by 
  a 
  Rays. 
  

   e 
  1 
  and 
  c 
  2 
  are 
  functions 
  of 
  the 
  following 
  constants 
  

  

  995 
  

  

  N, 
  the 
  number 
  of 
  pairs 
  of 
  ions 
  generated 
  by 
  one 
  

   a 
  particle 
  in 
  the 
  chamber 
  ; 
  

  

  a, 
  the 
  radius 
  of 
  a 
  column 
  ; 
  

  

  b, 
  the 
  depth 
  of 
  the 
  chamber 
  ; 
  

   k, 
  the 
  mobility 
  of 
  the 
  ion. 
  

  

  Fiff. 
  2 
  a. 
  

  

  In 
  calculating 
  the 
  relationship 
  the 
  effects 
  of 
  the 
  diffusion 
  

   of 
  the 
  ions 
  are 
  neglected. 
  Diffusion 
  must 
  tend 
  to 
  decrease 
  

   the 
  field 
  necessary 
  to 
  obtain 
  saturation 
  by 
  causing 
  a 
  

   diminution 
  in 
  the 
  density 
  of 
  ionization, 
  and 
  so 
  decreasing 
  

   recombination. 
  Nevertheless, 
  Wheelock 
  found 
  more 
  recom- 
  

   bination 
  than 
  was 
  indicated 
  by 
  his 
  formula 
  ; 
  if 
  the 
  constants 
  

   c 
  x 
  and 
  c 
  2 
  were 
  chosen 
  so 
  as 
  to 
  make 
  the 
  part 
  of 
  the 
  curve 
  

   corresponding 
  to 
  small 
  voltages 
  coincide 
  with 
  the 
  theoretical 
  

   curve, 
  the 
  part 
  corresponding 
  to 
  high 
  voltages 
  was 
  always 
  

   below 
  the 
  theoretical 
  curve. 
  [Wheelock, 
  Am. 
  J. 
  Sci. 
  1910, 
  

   p. 
  233.] 
  In 
  all 
  the 
  gases 
  except 
  hydrogen 
  and 
  CO, 
  

   saturation 
  is 
  more 
  difficult 
  to 
  obtain 
  than 
  can 
  be 
  accounted 
  

   for 
  by 
  that 
  formula. 
  But, 
  in 
  the 
  case 
  of 
  hydrogen 
  and 
  CO, 
  

   gases 
  which 
  show 
  least 
  " 
  initial 
  recombination," 
  the 
  experi- 
  

   mental 
  results 
  can 
  be 
  fitted 
  to 
  the 
  theoretical 
  curve 
  with 
  some 
  

   accuracy. 
  The 
  amount 
  of 
  agreement 
  attained 
  depends 
  on 
  

   what 
  part 
  of 
  the 
  curve 
  is 
  chosen 
  to 
  determine 
  the 
  constants 
  

  

  