20 L. VEGAKD. M.-N. Kl. 



The agreement is quite good ; but as we are now treating rings with 

 a somewliat heigh index-number, the determmation of the number of 

 electrons becomes more uncertain especially as long as the value of ij^ 

 is left undetermined. 



The second Possibility. Two M-rings. 



In this case we put into lO: 



i == 3. ^»" = 3. "3 = 3' ''4 = 3' "•-. = 4- 

 Pi = JO, Pi -= 10 + 73, p-, = lo + 73 + 7i, 



and we get the equation of condition: 



^{(h)-%> -f{Q^) + jqi •••('7) 



/■(73) is the right term of equation (16). 



Tere are several combinations (73 74) which might approximately 

 satisfy equation (17). 



Thus e. g. 



(qz = 7, '^4 = 8), (73 = 8, 7i = 7), (<?3 = 9, 7, = 5) 



give quite good agreement. 

 The combination 



73 = 8, 7^ = 7 and 7^ = 10 



gives the following equation for the frequency vq' 



|=(i-^)^^''-2,22iV+25 ...(18) 



The formula {18) will give an equally good agreement as the 

 combination 



73= '2, 7,^-^8 



in the case of one J/-ring. 



It might also be of interest to try the values : 



^/3 = 8, 7^ = 10, (j-, =S, 



which corresponds to the number of electrons, which were proposed in 

 Paper I. for the third, fourth and fifth ring. 



The latter combination would lead to the formula 



= (i-;^)^^' - '-'5^ ^^^ + 33 • • • (19) 



