﻿308 
  Dr. 
  L. 
  Vegard 
  on 
  the 
  X-Ray 
  Spectra 
  

  

  In 
  this 
  case 
  we 
  put 
  

  

  n 
  = 
  l, 
  ni 
  =2, 
  p 
  = 
  0, 
  p'=q, 
  

   and 
  get 
  : 
  

  

  or 
  

  

  ^=3/4N 
  2 
  +BN 
  + 
  C. 
  

  

  (17) 
  

  

  The 
  factor 
  3/4 
  is 
  an 
  accordance 
  with 
  observations. 
  The 
  

   essential 
  further 
  condition 
  is 
  that 
  the 
  factor 
  B 
  has 
  the 
  proper 
  

   value, 
  and 
  in 
  order 
  to 
  fit 
  in 
  with 
  observations 
  it 
  should 
  be 
  

   nearly 
  equal 
  to 
  —1*5. 
  

  

  Putting 
  <j>(q) 
  = 
  ?(S 
  ? 
  — 
  S 
  2 
  _i) 
  +S 
  g 
  _!, 
  

  

  we 
  should 
  have 
  

  

  4*(?)-?-3 
  =*(?')• 
  

  

  This 
  equation 
  is 
  to 
  be 
  approximately 
  fulfilled 
  for 
  whole 
  

   numbers 
  q 
  and 
  q'. 
  

  

  Values 
  of 
  <j>(q) 
  for 
  varying 
  q 
  are 
  given 
  in 
  the 
  following 
  

   Table 
  :— 
  

  

  Table 
  II. 
  

  

  Q- 
  

  

  0(<?)- 
  

  

  40(<7)-<Z-3. 
  

  

  1 
  

  

  

  

  -4000 
  

  

  2 
  

  

  0-500 
  

  

  -3-000 
  

  

  3 
  

  

  1-231 
  

  

  -2-307 
  

  

  4 
  

  

  2097 
  

  

  1-888 
  

  

  5 
  

  

  3052 
  

  

  4-208 
  

  

  6 
  

  

  4'082 
  

  

  7-328 
  

  

  7 
  

  

  5173 
  

  

  10-692 
  

  

  8 
  

  

  6305 
  

  

  14-220 
  

  

  9 
  

  

  7-512 
  

  

  18-048 
  

  

  First 
  we 
  have 
  to 
  select 
  nearly 
  equal 
  values 
  in 
  the 
  second 
  

   and 
  third 
  columns, 
  and 
  the 
  corresponding 
  values 
  of 
  q 
  give 
  

   the 
  number 
  of 
  electrons 
  in 
  the 
  K- 
  and 
  L-ring. 
  As 
  is 
  seen, 
  

   the 
  following 
  values 
  of 
  q 
  and 
  q' 
  might 
  be 
  possible 
  : 
  

  

  2 
  

  

  4 
  1 
  5 
  

  

  6 
  

  

  ?' 
  

  

  3 
  1 
  6 
  

  

  9 
  

  

  