( '01 ) 



0»o ""o ""o 



on, OH, Ox, 



So if we pass from the variables n„, «, and n, (of which there 

 are only two intlependently variable) to the variables « and ,r, we 

 have also : 



of. , d,u, dn, ; ') 



0« 0« 0« 



Ox Ox oji J 



The first equation multiplied bv -— and added to the second, 



gives immediately (1).] 



Now follows from the equilibrium of dissociation : 



— Mo + I'lf', + I'sft, = Ö 



1) We can easily test the truth of these simple properties by supposing the 

 functions j«'o (l/'i and ft'o constant in: 



1— « i'i« 



f — f '0 + ^2' % — ^. f 1 = f '1 + -^ï" W -;^> 



f*, = f 5 + -^'2' % — ^y — • 



d 



Then we have immediately (having divided by BT) after ditlerenliation p.- , 



takmg into consideration that 



.V= 1 + (r, + r, - 1)> ^- .« = 1 + aa + .., 

 for the first member: 



I 1 (9 ) 1 1 <9 ) I V, <9 



= (- 1 + r, + rj - 1^(1 - « + i\« + t',« + .r) = Ö - - X iV = 0. 



Ö 



After differentiation ^r— we find for the first member: 

 o.v 



I 1| ( 1 I ( 1 ) 



( ^] { ^] {i\a-{-.v N\ 



= 1 - - (1 - « 4- »'.« + v,a + .f) = 1 -- X A^= 0. 



And according to what has been proved, this will continue to l)e true, also 

 when ^'0, fi'i and f*'» are still functions of 2 and x. 



49* 



