﻿Molecules 
  of 
  the 
  Elements 
  and 
  their 
  Compounds. 
  83 
  

  

  AC 
  

  

  2 
  -^j 
  for 
  the 
  seven 
  spheres 
  in 
  the 
  outside 
  ring 
  is 
  *2919, 
  and 
  

  

  of 
  ai 
  3-92. 
  As 
  u=4 
  we 
  find 
  by 
  (78) 
  c 
  = 
  0*4856. 
  The 
  radius 
  

   of 
  the 
  outside 
  ring 
  referred 
  to 
  the 
  radius 
  of 
  the 
  positive 
  

   sphere 
  in 
  hydrogen 
  (two 
  electrons) 
  is, 
  therefore, 
  1*505, 
  

   obtained 
  from 
  the 
  formula 
  

  

  «i*=l(l+u+c) 
  (79) 
  

  

  Table 
  VIII. 
  gives 
  the 
  value 
  of 
  S/4 
  for 
  the 
  outside 
  rings 
  

   from 
  2 
  to 
  12. 
  Without 
  the 
  correction 
  term 
  the 
  radius 
  a 
  x 
  is 
  

   1'468, 
  2*5 
  per 
  cent, 
  less 
  than 
  it 
  is 
  with 
  it. 
  

  

  Table 
  VIII. 
  

  

  11. 
  

  

  S 
  

   4 
  

  

  2 
  

  

  0-2500 
  

   05762 
  

   0-9571 
  

   1-3764 
  

   1-8273 
  

  

  2-3285 
  

   2-8049 
  

   3-3248 
  

   3-8625 
  

   4-4160 
  

  

  4-9840 
  

  

  3 
  

  

  4 
  

  

  5 
  

  

  6 
  

  

  7 
  

  

  8 
  

  

  9 
  

  

  10 
  

  

  11 
  

  

  12 
  

  

  

  The 
  Combination 
  6-0. 
  

  

  This 
  combination 
  obtained 
  experimentally 
  as 
  in 
  figure 
  5 
  

   (PL 
  II.) 
  is 
  interesting 
  because 
  it 
  has 
  been 
  shown 
  that 
  a 
  ring 
  

   of 
  six 
  with 
  none 
  at 
  the 
  centre 
  cannot 
  be 
  stable 
  *. 
  The 
  experi- 
  

   mental 
  figure 
  shows 
  that 
  there 
  are 
  really 
  two 
  rings 
  of 
  three 
  

   each 
  having 
  different 
  radii 
  in 
  the 
  ratio 
  of 
  about 
  9 
  to 
  8. 
  The 
  

   measurements 
  are 
  given 
  in 
  Table 
  IX. 
  (p. 
  84). 
  Equating 
  the 
  

   force 
  upon 
  one 
  electron 
  due 
  to 
  the 
  other 
  five 
  to 
  that 
  due 
  to 
  

   the 
  positive 
  sphere, 
  we 
  find 
  

  

  V 
  AC. 
  

  

  * 
  J. 
  J. 
  Thomson, 
  Phil. 
  Ma?., 
  March 
  1904. 
  

   G2 
  

  

  