﻿SGG 
  Dr. 
  N. 
  Bohr 
  on 
  the 
  Constitution 
  

  

  the 
  nuclei 
  by 
  M, 
  

  

  M 
  

  

  Putting 
  — 
  = 
  1835 
  and 
  co 
  = 
  6'2 
  . 
  10 
  15 
  , 
  we 
  get 
  

  

  v 
  •■= 
  1-91 
  . 
  10 
  14 
  . 
  

  

  This 
  frequency 
  is 
  of 
  the 
  same 
  order 
  of 
  magnitude 
  as 
  that 
  

   calculated 
  by 
  Einstein's 
  theory 
  from 
  the 
  variation 
  of 
  the 
  

   specific 
  heat 
  of 
  hydrogen 
  gas 
  with 
  temperature 
  *. 
  On 
  

   the 
  other 
  hand, 
  no 
  absorption 
  of 
  radiation 
  in 
  hydrogen 
  

   gas 
  corresponding 
  to 
  this 
  frequency 
  is 
  observed. 
  This 
  is, 
  

   however, 
  just 
  what 
  we 
  should 
  expect 
  on 
  account 
  of 
  ihe 
  

   symmetrical 
  structure 
  of 
  the 
  system 
  and 
  the 
  great 
  ratio 
  

   between 
  the 
  frequencies 
  corresponding 
  to 
  displacements 
  of 
  

   the 
  electrons 
  and 
  of 
  the 
  nuclei. 
  The 
  complete 
  absence 
  of 
  

   infra-red 
  absorption 
  in 
  hydrogen 
  gas 
  might 
  be 
  considered 
  as 
  

   a 
  strong 
  argument 
  in 
  support 
  of 
  a 
  constitution 
  of 
  a 
  hydrogen 
  

   molecule 
  like 
  that 
  adopted 
  here, 
  compared 
  with 
  model- 
  

   molecules 
  in 
  which 
  the 
  chemical 
  bond 
  is 
  assumed 
  to 
  have 
  its 
  

   origin 
  in 
  an 
  opposite 
  charge 
  of 
  the 
  entering 
  atoms. 
  

  

  As 
  will 
  be 
  shown 
  in 
  § 
  5, 
  the 
  frequency 
  calculated 
  above 
  

   can 
  be 
  used 
  to 
  estimate 
  the 
  frequency 
  of 
  vibraiion 
  of 
  more 
  

   complicated 
  systems 
  for 
  which 
  an 
  infra-red 
  absorption 
  is 
  

   observed. 
  

  

  The 
  configuration 
  of 
  two 
  nuclei 
  of 
  charge 
  e 
  and 
  a 
  ring 
  of 
  

   three 
  electrons 
  rotating 
  between 
  them 
  will, 
  as 
  mentioned 
  in 
  

   § 
  2, 
  also 
  be 
  stable 
  for 
  displacements 
  of 
  the 
  electrons 
  perpen- 
  

   dicular 
  to 
  the 
  plane 
  of 
  the 
  ring. 
  A 
  calculation 
  gives 
  

  

  - 
  = 
  0-486, 
  G 
  = 
  0*623, 
  and 
  F 
  = 
  0*879 
  ; 
  

  

  and 
  further, 
  

  

  a 
  = 
  l-14a 
  , 
  co 
  = 
  0-77« 
  , 
  W 
  = 
  2«32W 
  . 
  

  

  Since 
  W 
  is 
  greater 
  than 
  for 
  the 
  system 
  consisting 
  of 
  two 
  

   nuclei 
  and 
  two 
  electrons, 
  the 
  system 
  in 
  question 
  may 
  be 
  con- 
  

   sidered 
  as 
  representing 
  a 
  negatively 
  charged 
  hydrogen 
  

   molecule. 
  Proof 
  of 
  the 
  existence 
  of 
  such 
  a 
  system 
  has 
  been 
  

   obtained 
  by 
  Sir 
  J. 
  J. 
  Thomson 
  in 
  his 
  experiments 
  on 
  positive 
  

   rays 
  f. 
  

  

  A 
  system 
  consisting 
  of 
  two 
  nuclei 
  of 
  charge 
  e 
  and 
  a 
  single 
  

  

  * 
  See 
  N. 
  Bjerrum, 
  Zeitschr. 
  f. 
  Mektroehem. 
  xvii. 
  p. 
  731 
  (1911) 
  ; 
  

   xviii. 
  p. 
  101 
  (1912). 
  

  

  t 
  J. 
  J. 
  Thomson, 
  Phil. 
  Mag. 
  xxiv. 
  p. 
  253 
  (1912). 
  

  

  