﻿14 
  Dr. 
  N. 
  Bohr 
  on 
  the 
  Constitution 
  

  

  The 
  possibility 
  of 
  an 
  emission 
  of 
  a 
  radiation 
  of 
  such 
  a 
  

   frequency 
  may 
  also 
  be 
  interpreted 
  from 
  analogy 
  with 
  the 
  

   ordinary 
  electrodynamics, 
  as 
  an 
  electron 
  rotating 
  round 
  a 
  

   nucleus 
  in 
  an 
  elliptical 
  orbit 
  will 
  emit 
  a 
  radiation 
  which 
  

   according 
  to 
  Fourier's 
  theorem 
  can 
  be 
  resolved 
  into 
  homo- 
  

   geneous 
  components, 
  the 
  frequencies 
  of 
  which 
  are 
  nco, 
  if 
  co 
  is 
  

   the 
  frequency 
  of 
  revolution 
  of 
  the 
  electron. 
  

  

  We 
  are 
  thus 
  led 
  to 
  assume 
  that 
  the 
  interpretation 
  of 
  the 
  

   equation 
  (2) 
  is 
  not 
  that 
  the 
  different 
  stationary 
  states 
  cor- 
  

   respond 
  to 
  an 
  emission 
  of 
  different 
  numbers 
  of 
  energy-quanta, 
  

   but 
  that 
  the 
  frequency 
  of 
  the 
  energy 
  emitted 
  during 
  the 
  

   passing 
  of 
  the 
  system 
  from 
  a 
  state 
  in 
  which 
  no 
  energy 
  is 
  yet 
  

   radiated 
  out 
  to 
  one 
  of 
  the 
  different 
  stationary 
  states, 
  is 
  equal 
  

  

  to 
  different 
  multiples 
  of 
  - 
  } 
  , 
  where 
  co 
  is 
  the 
  frequency 
  of 
  revo- 
  

   lution 
  of 
  the 
  electron 
  in 
  the 
  state 
  considered. 
  From 
  this 
  

   assumption 
  we 
  get 
  exactly 
  the 
  same 
  expressions 
  as 
  before 
  for 
  

   the 
  stationary 
  states, 
  and 
  from 
  these 
  by 
  help 
  of 
  the 
  principal 
  

   assumptions 
  on 
  p. 
  7 
  the 
  same 
  expression 
  for 
  the 
  law 
  of 
  the 
  

   hydrogen 
  spectrum. 
  Consequently 
  we 
  may 
  regard 
  our 
  pre- 
  

   liminary 
  considerations 
  on 
  p. 
  5 
  only 
  as 
  a 
  simple 
  form 
  of 
  

   representing 
  the 
  results 
  of 
  the 
  theory. 
  

  

  Before 
  we 
  leave 
  the 
  discussion 
  of 
  this 
  question, 
  we 
  shall 
  for 
  

   a 
  moment 
  return 
  to 
  the 
  question 
  of 
  the 
  significance 
  of 
  the 
  

   agreement 
  between 
  the 
  observed 
  and 
  calculated 
  values 
  of 
  

   the 
  constant 
  entering 
  in 
  the 
  expressions 
  (4) 
  for 
  the 
  Balmer 
  

   series 
  of 
  the 
  hydrogen 
  spectrum. 
  From 
  the 
  above 
  con- 
  

   sideration 
  it 
  will 
  follow 
  that, 
  taking 
  the 
  starting-point 
  in 
  the 
  

   form 
  of 
  the 
  law 
  of 
  the 
  hydrogen 
  spectrum 
  and 
  assuming 
  that 
  

   the 
  different 
  lines 
  correspond 
  to 
  a 
  homogeneous 
  radiation 
  

   emitted 
  during 
  the 
  passing 
  between 
  different 
  stationary 
  

   states, 
  we 
  shall 
  arrive 
  at 
  exactly 
  the 
  same 
  expression 
  for 
  the 
  

   constant 
  in 
  question 
  as 
  that 
  given 
  by 
  (4), 
  if 
  we 
  only 
  assume 
  

   (1) 
  that 
  the 
  radiation 
  is 
  sent 
  out 
  in 
  quanta 
  hv, 
  and 
  (2) 
  that 
  

   the 
  frequency 
  of 
  the 
  radiation 
  emitted 
  during 
  the 
  passing 
  of 
  

   the 
  system 
  between 
  successive 
  stationary 
  states 
  will 
  coincide 
  

   with 
  the 
  frequency 
  of 
  revolution 
  of 
  the 
  electron 
  in 
  the 
  region 
  

   of 
  slow 
  vibrations. 
  

  

  As 
  all 
  the 
  assumptions 
  used 
  in 
  this 
  latter 
  way 
  of 
  repre- 
  

   senting 
  the 
  theory 
  are 
  of 
  what 
  we 
  may 
  call 
  a 
  qualitative 
  

   character, 
  we 
  are 
  justified 
  in 
  expecting 
  — 
  if 
  the 
  whole 
  way 
  of 
  

   considering 
  is 
  a 
  sound 
  one 
  — 
  an 
  absolute 
  agreement 
  between 
  

   the 
  values 
  calculated 
  and 
  observed 
  for 
  the 
  constant 
  in 
  question, 
  

   and 
  not 
  only 
  an 
  approximate 
  agreement. 
  The 
  formula 
  (4) 
  

   may 
  therefore 
  be 
  of 
  value 
  in 
  the 
  discussion 
  of 
  the 
  results 
  

   of 
  experimental 
  determinations 
  of 
  the 
  constants 
  e, 
  m, 
  and 
  h. 
  

  

  