48 CONDENSATION OF VAPOR AS INDUCED BY NUCLEI AND IONS. 



The chief corrections are for subsidence of fog particles and for the 

 change of m with a drop of pressure and temperature. For a rectangular 

 vessel of height h, subsidence loss during a time t may be written vt/h, 

 where v is the rate of subsidence in centimeters per second. Since 

 io~ s v and ds = a, it may also be written for the fixed time / 



vt Sd~ 5 



(5) 



2 



h a? s 



where 5 is the subsidence constant for the loss during the fixed time /. 

 Hence for a rectangular vessel 



fc\ V (6 > 



h\ 18 / 



and for a cylindrical vessel of radius r and horizontal axis 



S=l^} (7) 



*J V / / 



7zr\ 18 / 



equations which will be useful below. 



In the present case we may therefore write the nucleation obtained 

 in successive identical exhaustions beginning with w 



/ S\ ,/ SW 5\ 



o = n o y> ! = w j i- 2 = w / i- i- 



(8) 



5\ / 5 \ T-r/ 5\ 



5V_i / ~ JL \ 5 2 , 



as further explained in the earlier volume. Again, since for normal 

 coronas n z is supposed to be given by w = 6w5 3 /7ra 3 , 5 may be computed 

 by two successive exhaustions as 



. 



Hence the terms of the series 



5 N 



j / 



6m 

 may also be computed, and since n z = ^ 5 3 2 , the equation 



6ms, 3 i 



(10) 



