﻿on 
  Columnar 
  Ionization. 
  

  

  525 
  

  

  In 
  order 
  to 
  test 
  the 
  applicability 
  of 
  this 
  theory, 
  Langevin's 
  

   equation 
  was 
  put 
  in 
  the 
  form 
  

  

  

  (2) 
  

  

  where 
  

  

  y 
  = 
  Q/Qo 
  and 
  *=A 
  

  

  Corresponding 
  values 
  of 
  y 
  and 
  a 
  were 
  chosen 
  at 
  various 
  

   points 
  along 
  the 
  carve 
  A, 
  fig. 
  5 
  ; 
  from 
  the 
  value 
  of 
  y 
  that 
  of 
  

   x 
  was 
  obtained 
  by 
  computation, 
  using 
  equation 
  1 
  (2), 
  and 
  then, 
  

  

  making 
  use 
  of 
  the 
  relation 
  x 
  — 
  — 
  - 
  , 
  Q 
  was 
  determined. 
  The 
  

  

  values 
  of 
  Q 
  obtained 
  by 
  choosing 
  different 
  values 
  for 
  y 
  

   should 
  be 
  constant. 
  A 
  set 
  of 
  values 
  determined 
  in 
  this 
  way 
  

   is 
  given 
  in 
  Table 
  VIII. 
  The 
  values 
  of 
  Q 
  are 
  given 
  in 
  

   arbitrary 
  units. 
  

  

  Table 
  VIII. 
  

   Different 
  Positions 
  of 
  the 
  Axis. 
  

  

  

  •73. 
  

  

  •74. 
  

  

  •7 
  

  

  

  y- 
  

  

  x 
  i 
  

   Volts/cm. 
  i 
  

  

  Qo- 
  

  

  X. 
  

  

  Qo- 
  

  

  X. 
  

  

  Qo- 
  

  

  0-46 
  

  

  75 
  

  

  66-3 
  

  

  90 
  

  

  79-6 
  

  

  105 
  

  

  92-8 
  

  

  0-55 
  

  

  140 
  

  

  82-5 
  

  

  150 
  . 
  

  

  88-3 
  

  

  160 
  

  

  94-3 
  

  

  0-61 
  

  

  190 
  

  

  84 
  

  

  195 
  

  

  861 
  

  

  210 
  

  

  92-8 
  

  

  066 
  

  

  230 
  

  

  81-3 
  

  

  245 
  

  

  86-6 
  

  

  250 
  

  

  88-3 
  

  

  0-75 
  

  

  338 
  

  

  74-9 
  

  

  3c0 
  

  

  77-2 
  

  

  360 
  

  

  796 
  

  

  081 
  

  

  460 
  

  

  678 
  

  

  550 
  

  

  81-0 
  

  

  520 
  

  

  76-6 
  

  

  In 
  order 
  to 
  obtain 
  an 
  idea 
  of 
  the 
  sensibility 
  of 
  the 
  method, 
  

   two 
  other 
  straight 
  lines 
  parallel 
  to 
  DE 
  and 
  close 
  to 
  it 
  were 
  

   chosen 
  as 
  axes. 
  The 
  values 
  of 
  Q 
  obtained 
  by 
  choosing 
  

   different 
  values 
  for 
  y 
  along 
  the 
  curve 
  A 
  when 
  the 
  axes 
  were 
  

   at 
  0'73, 
  0*74, 
  and 
  0'75 
  are 
  given 
  in 
  the 
  above 
  table. 
  It 
  will 
  

   be 
  seen 
  that 
  the 
  values 
  for 
  the 
  axis 
  at 
  0*74 
  are 
  more 
  nearly 
  

   constant 
  than 
  for 
  the 
  other 
  two 
  positions 
  of 
  this 
  axis. 
  With 
  

   the 
  axes 
  farther 
  away, 
  the 
  values 
  differ 
  much 
  more 
  ; 
  that 
  is, 
  

   the 
  values 
  of 
  Q 
  are 
  more 
  nearly 
  constant 
  even 
  for 
  the 
  large 
  

   values 
  of 
  y 
  when 
  the 
  axis 
  is 
  chosen 
  so 
  as 
  to 
  pass 
  through 
  

  

  Phil. 
  Mag. 
  S. 
  6. 
  Vol. 
  26. 
  No. 
  153. 
  Sept. 
  1913. 
  2 
  N 
  

  

  