﻿12 
  Dr. 
  N. 
  Bohr 
  on 
  the 
  Constitution 
  

  

  substances 
  in 
  question. 
  Here 
  1 
  shall 
  only 
  try 
  to 
  sliow 
  how, 
  

   by 
  help 
  of 
  the 
  theory, 
  it 
  can 
  be 
  simply 
  explained 
  that 
  the 
  

   constant 
  K 
  entering 
  in 
  Kydberg's 
  formula 
  is 
  the 
  same 
  for 
  all 
  

   substances. 
  

  

  Let 
  us 
  assume 
  that 
  the 
  spectrum 
  in 
  question 
  corresponds 
  to 
  

   the 
  radiation 
  emitted 
  during 
  the 
  binding 
  of 
  an 
  electron 
  ; 
  and 
  

   let 
  us 
  further 
  assume 
  that 
  the 
  system 
  including 
  the 
  electron 
  

   considered 
  is 
  neutral. 
  The 
  force 
  on 
  the 
  electron, 
  when 
  at 
  

   a 
  great 
  distance 
  apart 
  from 
  the 
  nucleus 
  and 
  the 
  electrons 
  

   previously 
  bound, 
  will 
  be 
  very 
  nearly 
  the 
  same 
  as 
  in 
  the 
  above 
  

   case 
  of 
  the 
  binding 
  of 
  an 
  electron 
  by 
  a 
  hydrogen 
  nucleus. 
  

   The 
  energy 
  corresponding 
  to 
  one 
  of 
  the 
  stationary 
  states 
  will 
  

   therefore 
  for 
  t 
  great 
  be 
  very 
  nearly 
  equal 
  to 
  that 
  given 
  by 
  

   the 
  expression 
  (3) 
  on 
  p. 
  5, 
  if 
  we 
  put 
  E 
  = 
  <?. 
  For 
  r 
  great 
  we 
  

   consequently 
  get 
  

  

  lim 
  (t 
  5 
  . 
  F 
  t 
  (t) 
  ) 
  = 
  Km 
  (t* 
  . 
  F 
  2 
  (t) 
  ) 
  = 
  .... 
  = 
  ~^> 
  

  

  in 
  conformity 
  with 
  Rydberg's 
  theory. 
  

  

  § 
  3. 
  General 
  Considerations 
  continued. 
  

  

  We 
  shall 
  now 
  return 
  to 
  the 
  discussion 
  (see 
  p. 
  7) 
  of 
  the 
  

   special 
  assumptions 
  used 
  in 
  deducing 
  the 
  expressions 
  (3) 
  on 
  

   p. 
  5 
  for 
  the 
  stationary 
  states 
  of 
  a 
  system 
  consisting 
  of 
  an 
  

   electron 
  rotating 
  round 
  a 
  nucleus. 
  

  

  For 
  one, 
  we 
  have 
  assumed 
  that 
  the 
  different 
  stationary 
  

   states 
  correspond 
  to 
  an 
  emission 
  of 
  a 
  different 
  number 
  of 
  

   energy-quanta. 
  Considering 
  systems 
  in 
  which 
  the 
  frequency 
  

   is 
  a 
  function 
  of 
  the 
  energy, 
  this 
  assumption, 
  however, 
  may 
  

   be 
  regarded 
  as 
  improbable; 
  for 
  as 
  soon 
  as 
  one 
  quantum 
  is 
  sent 
  

   out 
  the 
  frequency 
  is 
  altered. 
  We 
  shall 
  now 
  see 
  that 
  we 
  can 
  

   leave 
  the 
  assumption 
  used 
  and 
  still 
  retain 
  the 
  equation 
  (2) 
  

   on 
  p. 
  5, 
  and 
  thereby 
  the 
  formal 
  analogy 
  with 
  Planck's 
  

   theory. 
  

  

  Firstly,- 
  it 
  will 
  be 
  observed 
  that 
  it 
  has 
  not 
  been 
  necessary, 
  

   in 
  order 
  to 
  account 
  for 
  the 
  law 
  of 
  the 
  spectra 
  by 
  help 
  of 
  the 
  

   expressions 
  (3) 
  for 
  the 
  stationary 
  states, 
  to 
  assume 
  that 
  in 
  any 
  

   case 
  a 
  radiation 
  is 
  sent 
  out 
  corresponding 
  to 
  more 
  than 
  a 
  

   single 
  energy-quantum, 
  hv. 
  Further 
  information 
  on 
  the 
  

   frequency 
  of 
  the 
  radiation 
  may 
  be 
  obtained 
  by 
  comparing 
  

   calculations 
  of 
  the 
  energy 
  radiation 
  in 
  the 
  region 
  of 
  slow 
  

   vibrations 
  based 
  on 
  the 
  above 
  assumptions 
  with 
  calculations 
  

   based 
  on 
  the 
  ordinary 
  mechanics. 
  As 
  is 
  known, 
  calculations 
  

   on 
  the 
  latter 
  basis 
  are 
  in 
  agreement 
  with 
  experiments 
  on 
  the 
  

   energy 
  radiation 
  in 
  the 
  named 
  region. 
  

  

  Let 
  us 
  assume 
  that 
  the 
  ratio 
  between 
  the 
  total 
  amount 
  of 
  

  

  