﻿and 
  the 
  Constitution 
  of 
  the 
  Atom, 
  

  

  309 
  

  

  If 
  we 
  now 
  calculate 
  the 
  coefficients 
  B 
  and 
  C 
  o£ 
  equation 
  

   (17), 
  we 
  find 
  the 
  values 
  set 
  up 
  in 
  Table 
  III. 
  

  

  Table 
  III. 
  

  

  Qi- 
  

  

  ?'• 
  

  

  B. 
  

  

  C. 
  

  

  4 
  

  

  3 
  

  

  -1-578 
  

  

  - 
  402 
  

  

  5 
  

  

  6 
  

  

  -1-563 
  

  

  -13-29 
  

  

  6 
  

  

  9 
  

  

  -1-408 
  

  

  -29-18 
  

  

  For 
  the 
  sake 
  of 
  comparison 
  we 
  can 
  write 
  down 
  the 
  corre- 
  

   sponding 
  formulae 
  of 
  Moseley 
  and 
  Debye, 
  which 
  give 
  very 
  

   close 
  agreement 
  with 
  observations 
  for 
  N<40. 
  

  

  R 
  

  

  = 
  3/4N 
  2 
  -l-5N 
  + 
  f 
  (Moseley), 
  

  

  ^ 
  =3/4N 
  2 
  -l-464N-0-125 
  (Debye). 
  

  

  The 
  combination 
  # 
  = 
  4 
  and 
  #' 
  = 
  3 
  gives 
  the 
  best 
  agreement 
  

   and 
  leads 
  to 
  the 
  formula 
  : 
  

  

  ^= 
  3/4N 
  2 
  -l-578N-4-02 
  (18) 
  

  

  For 
  substances 
  with 
  fairly 
  small 
  atomic 
  numbers 
  the 
  

   Debye 
  formula 
  gives 
  a 
  much 
  closer 
  agreement. 
  But 
  if 
  

   we 
  would 
  correct 
  for 
  the 
  variation 
  of 
  mass 
  with 
  velocity, 
  

   the 
  corrected 
  formula 
  (18) 
  would 
  probably 
  give 
  better 
  

   agreement 
  for 
  the 
  interval 
  35 
  < 
  N 
  < 
  55, 
  where 
  the 
  Debye 
  

  

  formula 
  gives 
  too 
  high 
  values 
  for 
  ^ 
  ; 
  but 
  as 
  a 
  whole 
  

  

  it 
  must 
  be 
  said 
  that 
  the 
  Debye 
  formula 
  gives 
  by 
  far 
  the 
  

   better 
  agreement. 
  But 
  still 
  the 
  difference 
  is 
  so 
  small, 
  that 
  

   we 
  cannot 
  decide 
  from 
  a 
  mere 
  numerical 
  comparison 
  which 
  

   is 
  the 
  right 
  formula 
  so 
  long 
  as 
  the 
  calculations 
  are 
  not 
  

   carried 
  out 
  with 
  perfect 
  exactness, 
  and 
  there 
  may 
  of 
  course 
  

   also 
  be 
  effects 
  of 
  unknown 
  origin, 
  which 
  taken 
  into 
  account 
  

   might 
  put 
  the 
  assumption 
  of 
  recombination 
  between 
  primary 
  

   systems 
  in 
  a 
  more 
  favourable 
  position. 
  But 
  so 
  far 
  as 
  the 
  

   present 
  investigation 
  has 
  been 
  carried, 
  it 
  must 
  be 
  said 
  that 
  

   the 
  assumption 
  of 
  Debye 
  that 
  the 
  K-spectrum 
  is 
  produced 
  

   by 
  recombination 
  from 
  secondary 
  circles 
  has 
  given 
  the 
  best 
  

   Phil. 
  Mag. 
  S. 
  6. 
  Vol. 
  35. 
  No. 
  208. 
  April 
  1918. 
  Z 
  

  

  