﻿408 



z 



Q/p 



Q/i>- 



-a calc. ... 



Q/p- 



-6 calc. ... 



z .... 



Q/p 



Q/p — a calc. 

 Q/p- [5 calc. 



Dr. Norman Campbell on 



Table VII. 



Argon. 



(Q = «) N = 13-6, V' = 17-3. 



(Q-/3) N =15'54, V' = 12-62 



6(]0 5u0 400 300 200 



9-2 8-5 7-5 0-2 4-4 



0-0 0-0 0-0 0-0 +0-2 



-0'03 -0-09 0-00 -0-02 O'OO 



Table YIII. 

 Helium, 

 (Q=a) N =2-4, V' = 14'5. 

 (Q=/3) N =3'45, V'=ll-02. 



60 50 40 30 



1-35 1-20 1-00 0-77 



+0-01 0-00 -0-01 4-0-02 



-003 -0-02 0-00 4-0'03 



100 



50 



2-0 



0-58 



+07 



0-46 



+ 0-24 



+ 0-23 



20 



0-40 

 -0-02 

 4-0-01 



10 

 0-12 

 +0-046 

 -003 



10. It will be observed that, except in the cases of 

 nitrogen and hydrogen, for which Townsend's figures agree 

 peculiarly well with his theory, the assumption that Q = /S 

 gives a better agreement between the observed and calculated 

 numbers than the assumption that Q = a ; the difference is 

 especially well marked for smaller values of z. Even in the 

 case of the former assumption there is some systematic 

 divergence in this region ; a brief examination of the results 

 which would be obtained, if it were not assumed tliut f(.r) is 

 continuous, but the calculations carried through by examining 

 in detail the history of the ions produced in each layer of the 

 gas, shows that a divergence of the nature found might be 

 caused by the error in this assumption. On the other hand, 

 it is noticeable that the divergence is greater for gases which 

 contain atoms of different kinds, a case which the theory has 

 not attempted to consider. On the whole, it will be con- 

 cluded universally that the tables afford no reason whatever 

 for believing that the main physical assumptions on which 

 the theory is based are not completely accurate. The correction 

 of the slip in the mathematical work increases the confidence 

 in the foundations of the theory. 



The newly calculated values of V' are consistently lower, 

 and the newly calculated value of N consistently higher, than 



