﻿Formation 
  of 
  Molecules 
  of 
  the 
  Elemenls. 
  25 
  

  

  of 
  every 
  electron 
  round 
  the 
  centre 
  of 
  its 
  orbit 
  will 
  in 
  the 
  

  

  permanent 
  state 
  of 
  the 
  system 
  he 
  equal 
  to 
  -, 
  where 
  h 
  is 
  

   Planck's 
  constant" 
  *. 
  

  

  In 
  analogy 
  with 
  the 
  considerations 
  on 
  p. 
  23, 
  we 
  shall 
  

   assume 
  that 
  a 
  configuration 
  satisfying 
  this 
  condition 
  is 
  stable 
  

   if: 
  the 
  total 
  energy 
  of 
  the 
  system 
  is 
  less 
  than 
  in 
  any 
  neigh- 
  

   bouring 
  configuration 
  satisfying 
  the 
  same 
  condition 
  of 
  the 
  

   angular 
  momentum 
  of 
  the 
  electrons. 
  

  

  As 
  mentioned 
  in 
  the 
  introduction, 
  the 
  above 
  hypothesis 
  will 
  

   be 
  used 
  in 
  a 
  following 
  communication 
  as 
  a 
  basis 
  for 
  a 
  theory 
  of 
  

   the 
  constitution 
  of 
  atoms 
  and 
  molecules. 
  It 
  will 
  be 
  shown 
  

   that 
  it 
  leads 
  to 
  results 
  which 
  seem 
  to 
  be 
  in 
  conformity 
  with 
  

   experiments 
  on 
  a 
  number 
  of 
  different 
  phenomena. 
  

  

  The 
  foundation 
  of 
  the 
  hypothesis 
  has 
  been 
  sought 
  entirely 
  

   in 
  its 
  relation 
  with 
  Planck's 
  theory 
  of 
  radiation 
  ; 
  by 
  help 
  of 
  

   considerations 
  given 
  later 
  it 
  will 
  be 
  attempted 
  to 
  throw 
  

   some 
  further 
  light 
  on 
  the 
  foundation 
  of 
  it 
  from 
  another 
  

   point 
  of 
  view. 
  

   April 
  5, 
  1913. 
  

  

  II. 
  On 
  the 
  Formation 
  of 
  the 
  Molecules 
  of 
  the 
  Elements 
  

   and 
  their 
  Compounds, 
  with 
  Atoms 
  as 
  constituted 
  on 
  the 
  

   Corpuscular-Ring 
  Theory. 
  By 
  Albeiit 
  C. 
  Crehore, 
  

   PLJDA 
  

  

  [Plates 
  I. 
  & 
  II 
  .] 
  

  

  Part 
  I. 
  

  

  T) 
  EASONS 
  have 
  been 
  given 
  that 
  make 
  it 
  seem 
  very 
  

   JL\j 
  probable 
  that 
  the 
  atoms 
  are 
  constituted, 
  as 
  suggested 
  

   by 
  Sir 
  J. 
  J. 
  Thomson, 
  of 
  masses 
  of 
  positive 
  electrification 
  

   within 
  which 
  negative 
  electrons 
  are 
  revolving. 
  The 
  elec- 
  

   trons 
  take 
  positions 
  of 
  dynamical 
  equilibrium 
  due 
  to 
  their 
  

   mutual 
  action 
  upon 
  each 
  other, 
  and 
  upon 
  the 
  positive 
  

   electricity. 
  The 
  present 
  investigation 
  aims, 
  first, 
  to 
  obtain 
  

   more 
  exact 
  information 
  concerning 
  these 
  atoms 
  themselves, 
  

   and, 
  second, 
  to 
  examine 
  the 
  manner 
  in 
  which 
  two 
  or 
  more 
  

   such 
  atoms, 
  either 
  of 
  the 
  same 
  or 
  of 
  different 
  kinds, 
  must 
  

   act 
  upon 
  each 
  other 
  when 
  brought 
  within 
  molecular 
  range. 
  

   To 
  anticipate 
  the 
  results 
  which 
  are 
  later 
  described 
  it 
  is 
  found 
  

   that 
  such 
  atoms 
  come 
  to 
  definite 
  positions 
  of 
  stable 
  equilibrium 
  

  

  * 
  In 
  the 
  considerations 
  leading 
  to 
  this 
  hypothesis 
  we 
  have 
  assumed 
  

   that 
  the 
  velocity 
  of 
  the 
  electrons 
  is 
  small 
  compared 
  with 
  the 
  velocity 
  of 
  

   light. 
  The 
  limits 
  of 
  the 
  validity 
  of 
  this 
  assumption 
  will 
  be 
  discussed 
  in 
  

   Part 
  II. 
  

  

  t 
  Communicated 
  bv 
  the 
  Author, 
  

  

  