Barns — Ionization of Water and Phosphorus Nuclei. 221 



»/» 1 = !.10-" 168XI Cr,+r 1 )/F 



is the relative nucleation at the right section I of the tube con- 

 denser. 



The following table contains results for a number of typical 

 cases. For phosphorus, if perfectly fresh, h =*3 cm./sec, while 

 the velocity of the nucleus in the unit field is U =■ '067 cm./sec, 

 as a lower limit. 



Table I. 



Number of nuclei (n/n ) in successive right sections of the tubular con- 

 denser, length I = 50 cm , diameters 2r 2 = 2*10 cm , 2ri = , 64 cm . V= 2 liters/min. 

 E in volts, k in cm./sec. 



Batio n/n , if Eatio n/n if U= "015 cm./sec, and 



I k = S k = -0S & = -003 E = 10 E=5Q E=100 #=1000 



1-00 1-00 l'OO 1-00 l'OO l'OO 1-000 



1 -93 -95 '76 '59 "005 



5 -67 _ '77 '26 -07 



10 -46 -93 -99 -60 '07 



20 -21 -86 -98 -36 



30 -09 -79 -98 -21 



50 -02 -67 '96 -08 



For the case of water nuclei* if obtained from solutions of 

 concentration 



ifo" -oi i -oooi i 



£ = •0008 -0013 -03 cm./sec. 



while U~ = '73/l cm./sec, where I the effective condenser length 

 has been taken. The table takes the excessive value I = 50. 



Consequently the first part of the table shows the relative 

 nucleation in different sections of the condenser when h has the 

 values stated. The first column would apply to fresh phos- 

 phorus nuclei, the last two for water nuclei obtained from dif- 

 ferent dilute solutions in the absence of an electric field. Most 

 of the phosphorus nuclei should vanish, but the water nuclei 

 are but slightly reduced on leaving the condenser. One may 

 note the small velocity of current V= 2 liters/sec 



The second part of the table shows the case for water nuclei 

 when the core of the condenser has different potentials, E, for 

 the assumed velocity, IT = '015 cm./sec in the unit electric 

 field, since h may here be neglected. If I = 5 cm , the column 

 for 10 volts would apply at 100 volts, etc. It is seen that the 

 charges of nuclei are speedily absorbed while, from the evi- 

 dence given by coronas, the number of nuclei falls off but 

 slightly. 



6. It thus becomes a question of crucial importance to ascer- 

 tain whether the charges are actually lost to a few per cent in 



*This Journal (4), xiv, p. 225, 1902. 



