﻿and 
  the 
  Constitution 
  of 
  the 
  Atom. 
  323 
  

  

  which 
  he 
  calls 
  the 
  atomic 
  conductive 
  capacity, 
  Benedicks 
  * 
  

   has 
  given 
  a 
  curve 
  which 
  most 
  beautifully 
  brings 
  out 
  the 
  

   periodic 
  character 
  of 
  the 
  electric 
  conductivity. 
  This 
  curve 
  

  

  is 
  shown 
  in 
  fig. 
  3 
  

  

  Fig. 
  3. 
  

  

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  22 
  

  

  

  

  Now 
  it 
  is 
  to 
  be 
  expected 
  that 
  a 
  great 
  atomic 
  conductive 
  

   capacity 
  corresponds 
  to 
  a 
  small 
  value 
  of 
  a. 
  For, 
  taking 
  the 
  

   view 
  of 
  Benedicks, 
  the 
  atomic 
  conductivity 
  should 
  be 
  propor- 
  

   tional 
  to 
  the 
  frequency 
  v 
  of 
  the 
  atom 
  and 
  equal 
  to 
  cv, 
  where 
  

   c 
  is 
  the 
  conductive 
  capacity. 
  But 
  c 
  must 
  be 
  proportional 
  to 
  

   the 
  probability 
  that 
  an 
  oscillation 
  shall 
  result 
  in 
  a 
  free 
  

   electron. 
  Now 
  this 
  probability, 
  and 
  thus 
  c, 
  ought 
  to 
  increase 
  

   when 
  cr 
  diminishes, 
  and 
  thus 
  we 
  might 
  expect 
  the 
  conduc- 
  

   tivity 
  to 
  show 
  a 
  similar 
  variation 
  to 
  1/cr. 
  

  

  Fig. 
  4 
  gives 
  the 
  variation 
  of 
  a 
  and 
  1/cr 
  when 
  for 
  a 
  given 
  

   value 
  of 
  n 
  the 
  number 
  of 
  electrons 
  in 
  the 
  surface 
  ring 
  

   increase 
  from 
  p 
  — 
  1. 
  From 
  this 
  curve 
  we 
  should 
  expect 
  

   the 
  conductivity 
  suddenly 
  to 
  take 
  a 
  high 
  value 
  each 
  time 
  

   a 
  new 
  surface 
  ring 
  is 
  commenced. 
  This 
  is 
  exactly 
  the 
  

   type 
  of 
  variation 
  which 
  is 
  brought 
  out 
  in 
  the 
  curve 
  of 
  

   Benedicks. 
  

  

  * 
  C. 
  Benedicks, 
  Jahrb. 
  d. 
  Rod. 
  u. 
  Elektronik, 
  xiii. 
  p. 
  362 
  (1916). 
  

  

  