PROFESSOR KELLAND, ON MOLECULAR EQUILIBRIUM. 51 



r i , f«' + /o 2 „„ {(f-Qao + p 2 2a- p 2\ 



a V a a a / J 



2,*APMe- aa ri , [lap a a 1\ , 



+ (T + 5 + ? + ?) e "i 



- ! = 4 s^[{e*>j-(?-**5)-e- + 7)-e-j)}'- 

 M(H)-(^ + 3)*H)-H)M 



+ c 



_ ZirAMPe-™ rf l + aa /£ _ 2/ 2\ l+a« // _ l\ I a/ 



0*7" L{ a 2 U a 8+ a 3 j « 3 U a')}* 



which must be subtracted from the expression above, in order to give 

 that part of the total action designated by (3). 



31. With respect to the fourth part of the total action, it is evi- 

 dent that it differs from the expression already obtained on the pre- 

 vious hypothesis (19) only in sign. Its value is, therefore, 



^5^(1 + aa)e— {(l+al)e-° l - (l-al)e« l \, 



or in the approximate form 



4>irhAe- aa 



3 c? a? 



G 2 



(l+a«)a 2 / 3 . 



