﻿Aepinus 
  Atomized. 
  

  

  269 
  

  

  

  2a* 
  D' 
  

  

  being 
  — 
  of 
  the 
  work 
  required 
  to 
  remove 
  the 
  electrions 
  to 
  

   infinite 
  distance. 
  

  

  Number 
  

  

  

  

  

  (t 
  

  

  -p 
  X 
  work 
  

  

  of 
  

   Electrions. 
  

  

  Configuration. 
  

  

  (;)• 
  

  

  r 
  

   a 
  

  

  required 
  to 
  

   remove 
  the 
  

   electrions 
  to 
  

   infinite 
  dis- 
  

   tance, 
  =w. 
  

  

  2 
  

  

  At 
  the 
  ends 
  of 
  a 
  diameter 
  

  

  i 
  

  

  8 
  

  

  •5000 
  

  

  4-500 
  

  

  3 
  

  

  At 
  the 
  corners 
  of 
  an 
  equi- 
  

   lateral 
  triangle 
  

  

  1 
  

   3 
  V3 
  

  

  •5774 
  

  

  9000 
  

  

  4 
  

  

  At 
  the 
  corners 
  of 
  a 
  square 
  

  

  8 
  T 
  16 
  

  

  •6208 
  

  

  14-750 
  

  

  4 
  

  

  At 
  the 
  corners 
  of 
  an 
  equi- 
  

   lateral 
  tetrahedron 
  

  

  rev 
  2 
  

  

  •6124 
  

  

  15-000 
  

  

  6 
  

  

  At 
  the 
  corners 
  of 
  an 
  equi- 
  

   lateral 
  octahedron 
  

  

  1+4 
  V2 
  

   24 
  

  

  •6522 
  

  

  33-335 
  

  

  8 
  

  

  At 
  the 
  corners 
  of 
  a 
  cube 
  

  

  

  •6756 
  

  

  52-180 
  

  

  § 
  21. 
  In 
  the 
  configurations 
  thus 
  expressed 
  the 
  equilibrium 
  

   is 
  certainly 
  stable 
  for 
  the 
  cases 
  of 
  two, 
  three, 
  and 
  four 
  elec- 
  

   trions. 
  It 
  seems 
  to 
  me, 
  without 
  calculation^ 
  also 
  probably 
  

   stable 
  for 
  the 
  case 
  of 
  six, 
  and 
  possibly 
  even 
  for 
  the 
  case 
  of 
  

   eight. 
  For 
  the 
  case 
  of 
  twenty 
  at 
  the 
  corners 
  o£ 
  a 
  pentagonal 
  

   dodecahedron 
  the 
  equilibrium 
  is 
  probably 
  not 
  stable 
  : 
  and 
  

   even 
  for 
  the 
  cases 
  of 
  twelve 
  electrions 
  and 
  ten 
  electrions, 
  the 
  

   equilibrium 
  in 
  the 
  configurations 
  described 
  in 
  §§ 
  18, 
  19 
  may 
  

   probably 
  be 
  unstable, 
  when, 
  as 
  now, 
  we 
  have 
  the 
  attraction 
  

   of 
  the 
  atom 
  towards 
  the 
  centre 
  instead 
  of 
  the 
  inextensible 
  

   strings. 
  

  

  § 
  22. 
  In 
  fact 
  when 
  the 
  number 
  of 
  electrions 
  exceeds 
  four, 
  

   we 
  must 
  think 
  of 
  the 
  tendency 
  to 
  be 
  crowded 
  out 
  of 
  one 
  

   spherical 
  surface, 
  which 
  with 
  very 
  large 
  numbers 
  gives 
  a 
  

   tendency 
  to 
  uniform 
  distribution 
  throughout 
  the 
  volume 
  of 
  

   the 
  atom 
  as 
  described 
  in 
  § 
  16 
  above. 
  Thus, 
  in 
  the 
  case 
  of 
  

   five 
  electrions, 
  § 
  18 
  shows 
  a 
  configuration 
  of 
  equilibrium 
  in 
  

   which 
  the 
  two 
  electrions 
  lying 
  in 
  one 
  diameter 
  are, 
  by 
  the 
  

   mutual 
  repulsions, 
  pushed 
  very 
  slightly 
  further 
  from 
  the 
  

  

  