﻿6 
  Dr. 
  N. 
  Bohr 
  on 
  the 
  Constitution 
  

  

  have 
  been 
  developed 
  and 
  applied 
  on 
  a 
  number 
  of 
  different 
  

   phenomena, 
  especially 
  by 
  Stark, 
  Nernst, 
  and 
  Sommerfield. 
  

   Tiie 
  agreement 
  as 
  to 
  the 
  order 
  of 
  magnitude 
  between 
  values 
  

   observed 
  for 
  the 
  frequencies 
  and 
  dimensions 
  of 
  the 
  atoms, 
  

   and 
  values 
  for 
  these 
  quantities 
  calculated 
  by 
  considerations 
  

   similar 
  to 
  those 
  given 
  above, 
  has 
  been 
  the 
  subject 
  of 
  much 
  

   discussion. 
  It 
  was 
  first 
  pointed 
  out 
  by 
  Haas*, 
  in 
  an 
  attempt 
  

   to 
  explain 
  the 
  meaning 
  and 
  the 
  value 
  of 
  Planck's 
  constant 
  

   on 
  the 
  basis 
  of 
  J. 
  J. 
  Thomson's 
  atom-model, 
  by 
  help 
  of 
  the 
  

   linear 
  dimensions 
  and 
  frequency 
  of 
  an 
  hydrogen 
  atom. 
  

  

  Systems 
  of 
  the 
  kind 
  considered 
  in 
  this 
  paper, 
  in 
  which 
  the 
  

   forces 
  between 
  the 
  particles 
  vary 
  inversely 
  as 
  the 
  square 
  of 
  

   the 
  distance, 
  are 
  discussed 
  in 
  relation 
  to 
  Planck's 
  theory 
  

   by 
  J. 
  W. 
  Nicholson 
  f. 
  In 
  a 
  series 
  of 
  papers 
  this 
  author 
  

   has 
  shown 
  that 
  it 
  seems 
  to 
  be 
  possible 
  to 
  account 
  for 
  lines 
  of 
  

   hitherto 
  unknown 
  origin 
  in 
  the 
  spectra 
  of 
  the 
  stellar 
  nebulae 
  

   and 
  that 
  of 
  the 
  solar 
  corona, 
  by 
  assuming 
  the 
  presence 
  in 
  these 
  

   bodies 
  of 
  certain 
  hypothetical 
  elements 
  of 
  exactly 
  indicated 
  

   constitution. 
  The 
  atoms 
  of 
  these 
  elements 
  are 
  supposed 
  to 
  

   consist 
  simply 
  of 
  a 
  ring 
  of 
  a 
  few 
  electrons 
  surrounding 
  a 
  

   positive 
  nucleus 
  of 
  negligibly 
  small 
  dimensions. 
  The 
  ratios 
  

   between 
  the 
  frequencies 
  corresponding 
  to 
  the 
  lines 
  in 
  question 
  

   are 
  compared 
  with 
  the 
  ratios 
  between 
  the 
  frequencies 
  corre- 
  

   sponding 
  to 
  different 
  modes 
  of 
  vibration 
  of 
  the 
  ring 
  of 
  

   electrons. 
  Nicholson 
  has 
  obtained 
  a 
  relation 
  to 
  Planck's 
  

   theory 
  showing 
  that 
  the 
  ratios 
  between 
  the 
  wave-length 
  of 
  

   different 
  sets 
  of 
  lines 
  of 
  the 
  coronal 
  spectrum 
  can 
  be 
  accounted 
  

   for 
  with 
  great 
  accuracy 
  by 
  assuming 
  that 
  the 
  ratio 
  between 
  

   the 
  energy 
  of 
  the 
  system 
  and 
  the 
  frequency 
  of 
  rotation 
  of 
  the 
  

   ring 
  is 
  equal 
  to 
  an 
  entire 
  multiple 
  of 
  Planck's 
  constant. 
  The 
  

   quantity 
  Nicholson 
  refers 
  to 
  as 
  the 
  energy 
  is 
  equal 
  to 
  twice 
  

   the 
  quantity 
  which 
  we 
  have 
  denoted 
  above 
  by 
  W. 
  In 
  the 
  

   latest 
  paper 
  cited 
  Nicholson 
  has 
  found 
  it 
  necessary 
  to 
  give 
  

   the 
  theory 
  a 
  more 
  complicated 
  form, 
  still, 
  however, 
  repre- 
  

   senting 
  the 
  ratio 
  of 
  energy 
  to 
  frequency 
  by 
  a 
  simple 
  function 
  

   of 
  whole 
  numbers. 
  

  

  The 
  excellent 
  agreement 
  between 
  the 
  calculated 
  and 
  

   observed 
  values 
  of 
  the 
  ratios 
  between 
  the 
  wave-lengths 
  in 
  

   question 
  seems 
  a 
  strong 
  argument 
  in 
  favour 
  of 
  the 
  validity 
  

   of 
  the 
  foundation 
  of 
  Nicholson's 
  calculations. 
  Serious 
  

  

  * 
  A. 
  E. 
  Haas, 
  Jahrb. 
  d. 
  Pad. 
  u. 
  FA. 
  vii. 
  p. 
  26] 
  (1910), 
  See 
  further, 
  

   A. 
  Schidlof, 
  Ann. 
  d. 
  Phys. 
  xxxv. 
  p. 
  90 
  (1911); 
  E. 
  Wertheimer, 
  Phys. 
  

   Zeitschr. 
  xii. 
  p. 
  409 
  (1911), 
  Verh. 
  deutsch. 
  Phys. 
  Ges. 
  1912, 
  p. 
  431; 
  F.A. 
  

   Lindemann, 
  Verh. 
  deutsch. 
  Phys. 
  Ges. 
  1911, 
  pp. 
  482, 
  1107 
  ; 
  F. 
  Haber, 
  

   Verh. 
  deutsch. 
  Phys. 
  Ges. 
  1911,' 
  p. 
  1117. 
  

  

  t 
  J. 
  W. 
  Nicholson, 
  Month. 
  Not. 
  Rov. 
  Astr. 
  Soc. 
  lxxii. 
  pp. 
  49, 
  139, 
  

   677, 
  693, 
  729 
  (1912). 
  

  

  

  