﻿Relations 
  in 
  Gapillarity 
  . 
  

  

  Consequently, 
  

  

  ^-4t=4^(^^") 
  

  

  493 
  

  

  (3) 
  

  

  an 
  

  

  Einstein 
  then 
  proceeded 
  to 
  find 
  the 
  values 
  of 
  Ca 
  for 
  a 
  

   number 
  of 
  atoms 
  on 
  the 
  assumption 
  that 
  k' 
  is 
  a 
  constant, 
  

  

  d 
  that 
  (X— 
  T^ 
  J 
  is 
  independent 
  of 
  the 
  temperature. 
  The 
  

  

  values 
  of 
  Ca 
  for 
  a 
  few 
  atoms 
  were 
  calculated 
  from 
  the 
  physical 
  

   constants 
  of 
  a 
  large 
  number 
  of 
  compounds 
  involving 
  these 
  

   atoms. 
  That 
  the 
  values 
  of 
  Ca. 
  should 
  agree 
  well 
  although 
  the 
  

   number 
  of 
  compounds 
  whose 
  constants 
  were 
  employed 
  is 
  far 
  

   larger 
  than 
  the 
  minimum 
  number 
  necessary 
  to 
  obtain 
  c^, 
  

   would 
  be 
  strong 
  evidence 
  in 
  favour 
  of 
  the 
  validity 
  of 
  the 
  

   formula 
  and 
  the 
  underlying 
  assumptions. 
  

  

  Table 
  I. 
  contains 
  in 
  the 
  third 
  and 
  sixth 
  vertical 
  columns 
  

   the 
  values 
  of 
  Sca 
  for 
  a 
  number 
  of 
  substances 
  calculated 
  by 
  

   means 
  of 
  equation 
  (2). 
  The 
  fourth 
  and 
  seventh 
  vertical 
  

   columns 
  give 
  the 
  values 
  calculated 
  by 
  substituting 
  the 
  values 
  

   of 
  Ca 
  in 
  %Ca 
  from 
  the 
  first 
  column 
  in 
  the 
  table. 
  The 
  values 
  

   of 
  Ca 
  were 
  obtained 
  from 
  the 
  third 
  and 
  sixth 
  columns 
  by 
  the 
  

   method 
  of 
  least 
  squares. 
  It 
  will 
  be 
  seen 
  that 
  on 
  the 
  whole 
  

   the 
  values 
  in 
  the 
  two 
  columns 
  agree 
  fairly 
  well. 
  

  

  

  

  Table 
  I. 
  

  

  * 
  

  

  

  

  Ca. 
  

  

  Formula 
  

   of 
  liquid. 
  

  

  Experi- 
  

   mental 
  

  

  2Ca. 
  

  

  Calcu- 
  

   lated 
  

   SCfl. 
  

  

  ! 
  

  

  Formula 
  

   of 
  liquid. 
  

  

  Experi- 
  

   mental 
  

  

  SCa. 
  

  

  Calcu- 
  

   lated 
  

  

  H=-l-6 
  

  

  C:oH,6 
  

  

  510 
  

  

  524 
  

  

  C,OHCL 
  

  

  358 
  

  

  335 
  

  

  C=o50 
  

  

  CO,H, 
  

   C,H,0, 
  

  

  140 
  

  

  145 
  

  

  C,H50C'i 
  

  

  462 
  

  

  484 
  

  

  0=46-8 
  

  

  193 
  

  

  197 
  

  

  C.HsCl^ 
  

  

  492 
  

  

  495 
  

  

  Cl=60 
  

  

  CgHeOa 
  

  

  250 
  

  

  249 
  

  

  Br^ 
  

  

  217 
  

  

  304 
  

  

  Br=152 
  

  

  C.H.O^ 
  

  

  309 
  

  

  301 
  

  

  0\H,Br 
  

  

  251 
  

  

  254 
  

  

  1=198 
  

  

  C^H.oO, 
  

  

  365 
  

  

  352 
  

  

  CgH^Br 
  

  

  311 
  

  

  306 
  

  

  

  c,H,o; 
  

  

  350 
  

  

  350 
  

  

  CgH-Br 
  

  

  311 
  

  

  306 
  

  

  

  CoH.oO, 
  

  

  505 
  

  

  501 
  

  

  CgHsBr 
  

  

  302 
  

  

  309 
  

  

  

  C,H,0, 
  

  

  494 
  

  

  520 
  

  

  C.H^Br 
  

  

  353 
  

  

  354 
  

  

  

  C.H,o03 
  

  

  553 
  

  

  562 
  

  

  C,Hi,Br 
  

  

  425 
  

  

  410 
  

  

  

  CgHjoO^ 
  

  

  471 
  

  

  454 
  

  

  CgH.Br 
  

  

  411 
  

  

  474 
  

  

  

  c!H,b 
  

  

  422 
  

  

  419 
  

  

  C,H-Br 
  

  

  421 
  

  

  526 
  

  

  

  C,H,oO 
  

  

  479 
  

  

  470 
  

  

  C,H,Br3 
  

  

  345 
  

  

  409 
  

  

  

  CsH.oO, 
  

  

  519 
  

  

  517 
  

  

  CjHeBr^ 
  

  

  395 
  

  

  461 
  

  

  

  C5HO; 
  

   C,H,36 
  

  

  345 
  

  

  362 
  

  

  c,h:i 
  

  

  288 
  

  

  300 
  

  

  

  348 
  

  

  305 
  

  

  C3H-1 
  

  

  343 
  

  

  352 
  

  

  

  CxoHuO 
  

  

  587 
  

  

  574 
  

  

  g3h;i 
  

  

  357 
  

  

  352 
  

  

  

  C,H,C1 
  

  

  385 
  

  

  379 
  

  

  CsH,! 
  

  

  338 
  

  

  355 
  

  

  

  C-H7CI 
  

  

  438 
  

  

  434 
  

  

  C^H,! 
  

  

  428 
  

  

  403 
  

  

  

  c;h,ci 
  

  

  440 
  

  

  434 
  

  

  CsH,,! 
  

  

  464 
  

  

  455 
  

  

  

  C3H5OCI 
  

  

  270 
  

  

  270 
  

  

  

  

  

  The 
  repetition 
  of 
  a 
  formula 
  indicates 
  an 
  isomeric 
  compound. 
  

  

  