﻿and 
  the 
  Constitution 
  of 
  the 
  Atom. 
  

  

  311 
  

  

  We 
  see 
  that 
  the 
  agreement 
  between 
  the 
  two 
  formulae 
  is 
  

   remarkably 
  good. 
  Curiously 
  enough, 
  we 
  can 
  also 
  in 
  this 
  

   case 
  find 
  a 
  good 
  agreement 
  when 
  we 
  assume 
  the 
  whole 
  

   L-ring 
  to 
  recombine 
  from 
  a 
  secondary 
  circle. 
  If 
  we 
  now 
  

   suppose 
  4 
  electrons 
  in 
  the 
  K-ring 
  and 
  9 
  electrons 
  in 
  the 
  

   L-ring, 
  we 
  get 
  

  

  in 
  close 
  agreement 
  with 
  Moseley's 
  formula. 
  

  

  If 
  we 
  take 
  into 
  account 
  the 
  variation 
  of 
  the 
  mass 
  of 
  the 
  

   electron 
  with 
  its 
  velocity, 
  we 
  can 
  easily 
  find 
  the 
  frequency 
  

   by 
  means 
  of 
  equations 
  (2) 
  and 
  (10). 
  

  

  Putting 
  

  

  we 
  obtain 
  

  

  3 
  + 
  S 
  7 
  = 
  5-3048 
  = 
  a, 
  

   3 
  + 
  Se 
  = 
  4-8274 
  = 
  b, 
  

  

  -7^/l-£(N-a)» 
  

  

  and 
  if 
  expanded 
  into 
  series, 
  we 
  have 
  approximately 
  

  

  S 
  = 
  S+Ki 
  (N 
  - 
  a)4 
  -A 
  (N 
  ~ 
  6)4 
  -3M( 
  N 
  - 
  9 
  ) 
  4 
  >(20ft) 
  

  

  v 
  being 
  the 
  frequency 
  calculated 
  from 
  the 
  uncorrected 
  

   formula 
  (19 
  a). 
  

  

  Observed 
  and 
  calculated 
  values 
  are 
  given 
  in 
  Table 
  IV. 
  

  

  Table 
  IV. 
  

  

  w. 
  

  

  v/"R 
  

   obs. 
  

  

  30 
  Zn 
  

  

  73-8 
  

  

  35 
  Br 
  

  

  108-6 
  

  

  40 
  Zr 
  

  

  149-8 
  

  

  45 
  Rh 
  

  

  198-3 
  

  

  50 
  Sn 
  

  

  253-5 
  

  

  55 
  Cs 
  

  

  315-2 
  

  

  60 
  Xd 
  

  

  65 
  Tb 
  

  

  394-6 
  

   461-8 
  

  

  70 
  Ad 
  

  

  545-6 
  

  

  80 
  H- 
  

  

  90 
  Th 
  

  

  734-9 
  

   952-2 
  

  

  (v/B), 
  

  

  71-0 
  

   105-8 
  

   147-6 
  

   196-4 
  

   252-0 
  

   314-7 
  

   384-3 
  

   460-8 
  

   5443 
  

   7321 
  

   947-6 
  

  

  Oo/^V 
  

  

  ("/RV 
  

  

  P 
  M 
  - 
  

  

  -8-0 
  

  

  67-8 
  

  

  67-9 
  

  

  -3-8 
  

  

  102-5 
  

  

  102-8 
  

  

  -2-6 
  

  

  -5-3 
  

  

  144-1 
  

  

  144-8 
  

  

  -1-5 
  

  

  -3-3 
  

  

  192-7 
  

  

  193-9 
  

  

  -10 
  

  

  -2-2 
  

  

  248-3 
  

  

  250-5 
  

  

  -06 
  

  

  -1-2 
  

  

  310-8 
  

  

  3140 
  

  

  -02 
  

  

  -0-4 
  

  

  380-2 
  

  

  384-9 
  

  

  -0-1 
  

  

  00 
  

  

  456-6 
  

  

  463-4 
  

  

  -0-2 
  

  

  +0-3 
  

  

  5399. 
  

  

  549-5 
  

  

  -0-2 
  

  

  +0-7 
  

  

  7274 
  

  

  745-5 
  

  

  -0-4 
  

  

  + 
  14 
  

  

  942-7 
  

  

  972-5 
  

  

  -0-5 
  

  

  +2-1 
  

  

  Z2 
  

  

  