﻿312 
  Dr. 
  L. 
  Vegard 
  on 
  the 
  X-Ray 
  Spectra 
  

  

  The 
  column 
  headed 
  

  

  / 
  fr 
  | 
  contains 
  values 
  from 
  the 
  formula 
  o£ 
  Moseley. 
  

  

  l,-y| 
  ,, 
  „ 
  calculated 
  from 
  (20 
  b). 
  

  

  (l\ 
  „ 
  „ 
  n 
  , 
  (Wa). 
  

  

  Pm 
  and 
  Py 
  give 
  the 
  errors 
  in 
  percent, 
  for 
  the 
  formula 
  of 
  

   Moseley 
  and 
  that 
  of 
  the 
  writer. 
  

  

  The 
  agreement 
  between 
  theory 
  and 
  experiment 
  is 
  seen 
  to 
  

   be 
  remarkably 
  good. 
  The 
  variation 
  of 
  P 
  v 
  with 
  the 
  atomic 
  

   number 
  may 
  be 
  due 
  to 
  influences 
  of 
  external 
  systems 
  which 
  

   we 
  have 
  not 
  taken 
  into 
  account. 
  

  

  If 
  our 
  conception 
  as 
  to 
  the 
  production 
  of 
  the 
  L 
  a 
  -line 
  

   is 
  right, 
  the 
  relation 
  of 
  Kossel 
  does 
  not 
  mean 
  that 
  L 
  a 
  is 
  

   produced 
  by 
  an 
  electron 
  recombining 
  towards 
  a 
  broken 
  

   K-ring 
  between 
  secondaries 
  corresponding 
  to 
  t 
  = 
  3 
  and 
  

   t 
  = 
  2. 
  Nor 
  does 
  it 
  involve 
  that 
  the 
  lines 
  are 
  produced 
  

   in 
  the 
  way 
  suggested 
  by 
  Bohr 
  by 
  recombination 
  between 
  

   primaries. 
  The 
  relation 
  is 
  more 
  or 
  less 
  accidental, 
  and 
  due 
  

   to 
  the 
  fact 
  that 
  the 
  first 
  secondary 
  K-circle 
  has 
  the 
  same 
  

   quant 
  number 
  as 
  the 
  primary 
  L-ring. 
  

  

  On 
  the 
  Origin 
  of 
  the 
  other 
  L-Lines. 
  

  

  § 
  6. 
  As 
  already 
  mentioned, 
  Sommerfeld 
  found 
  * 
  that 
  a 
  

   number 
  of 
  lines 
  in 
  the 
  L-series 
  could 
  be 
  grouped 
  into 
  

   doublets. 
  

  

  To 
  L 
  a 
  corresponds 
  L^ 
  as 
  a 
  second 
  component 
  of 
  the 
  

   doublet, 
  and 
  if 
  we 
  stick 
  to 
  the 
  explanation 
  given 
  by 
  

   Sommerfeld, 
  we 
  should 
  have 
  to 
  suppose 
  that 
  the 
  normal 
  

   L-system 
  has 
  two 
  stationary 
  states 
  — 
  one 
  circular 
  and 
  one 
  

   elliptic. 
  Now 
  the 
  recombination 
  to 
  the 
  elliptic 
  state 
  gives 
  

   the 
  higher 
  frequency, 
  and 
  we 
  should 
  suppose, 
  as 
  we 
  have 
  

   already 
  done, 
  that 
  L 
  a 
  corresponds 
  to 
  the 
  circular 
  and 
  L^ 
  to 
  

   the 
  elliptic 
  state. 
  We 
  are 
  then 
  led 
  to 
  the 
  conception 
  of 
  one 
  

   elliptic 
  state 
  common 
  to 
  a 
  whole 
  system 
  of 
  electrons, 
  which 
  

   would 
  mean 
  that 
  the 
  electrons 
  forming 
  one 
  ring 
  are 
  in 
  some 
  

   way 
  mutually 
  connected. 
  

  

  Now 
  Wagner 
  has 
  shown 
  that 
  the 
  absorption 
  edges 
  A 
  x 
  and 
  

   A 
  2 
  have 
  the 
  same 
  difference 
  of 
  frequency 
  as 
  the 
  doublet, 
  or 
  

  

  This 
  leads 
  to 
  the 
  assumption 
  that 
  L 
  Al 
  and 
  L 
  As 
  are 
  due. 
  to 
  

  

  the 
  transference 
  of 
  an 
  electron 
  from 
  the 
  circular 
  and 
  the 
  

  

  * 
  A. 
  Sommerfeld, 
  Ann. 
  d. 
  Phys. 
  li. 
  p. 
  125 
  (1916). 
  

  

  