﻿780 
  Dr. 
  J. 
  Kunz 
  on 
  the 
  Corpuscular 
  

  

  cr„ 
  — 
  Ob— 
  1 
  ( 
  j,p 
  , 
  

   but 
  ^_«_fl 
  

  

  hence, 
  <r 
  a 
  — 
  <r 
  b 
  =T£fi 
  a 
  —@b) 
  ] 
  

  

  therefore 
  T 
  R 
  a 
  T 
  R 
  a 
  

  

  e 
  e 
  

  

  Admitting 
  the 
  number 
  of 
  free 
  corpuscles 
  to 
  be 
  the 
  simple 
  

   function 
  of 
  the 
  temperature 
  as 
  indicated 
  by 
  the 
  formula 
  

  

  Na=Ce 
  f|KW-373)] 
  5 
  

   ™S' 
  et 
  logN.=C 
  + 
  |i(«. 
  +/8( 
  ,T) 
  

  

  

  a) 
  

  

  but 
  __ 
  4 
  a 
  B 
  log 
  N 
  ft 
  a 
  

  

  °" 
  a 
  ~3e 
  dT 
  ""* 
  

  

  hence 
  

  

  <r 
  =T/3„-?. 
  

  

  e 
  

  

  This 
  second 
  deduction 
  of 
  the 
  value 
  of 
  <r 
  a 
  is 
  only 
  possible 
  

   if 
  Na 
  is 
  of 
  the 
  form 
  indicated 
  above, 
  and 
  not 
  of 
  the 
  form 
  

  

  N 
  a 
  =C 
  e 
  ^ 
  [aa+ 
  ' 
  3 
  " 
  (T 
  - 
  273)+rT:;] 
  . 
  

  

  If 
  a 
  current 
  of 
  10 
  amperes 
  is 
  flowing 
  through 
  bismuth 
  in 
  

   the 
  direction 
  of 
  decreasing 
  temperature, 
  the 
  heat 
  developed 
  

   between 
  two 
  cross-sections, 
  whose 
  temperature 
  differences 
  

   are 
  1° 
  C, 
  in 
  unit 
  time 
  will 
  be 
  cr=24*5 
  . 
  10~ 
  6 
  gr. 
  cal. 
  

  

  For 
  Hg 
  the 
  Thomson 
  effect 
  would 
  be 
  — 
  6*9 
  . 
  10 
  -6 
  gr. 
  cal.* 
  

   Combining 
  these 
  results 
  of 
  absolute 
  measurements 
  with 
  a 
  

   series 
  of 
  relative 
  observations, 
  we 
  shall 
  rind 
  the 
  observed 
  

   values 
  of 
  the 
  Thomson 
  effect 
  united 
  in 
  the 
  following 
  table, 
  

   which 
  contains 
  moreover 
  the 
  values 
  of 
  the 
  quantity 
  T/3 
  a 
  and 
  

   T/3a—cc/e. 
  T 
  = 
  273, 
  A=4*2.10 
  7 
  mechanical 
  equivalent 
  of 
  

  

  1 
  calory, 
  e=l'2 
  . 
  10~ 
  20 
  , 
  a=l'5 
  . 
  10~ 
  16 
  , 
  - 
  ~ 
  =0*3 
  . 
  10~ 
  3 
  . 
  

   * 
  Hagen, 
  Wied. 
  Ann. 
  Bd. 
  xxviii. 
  p. 
  199 
  (1886). 
  

  

  