and the Constitution of the Atom. 253 



In Table X. are given the values o£ v /R corresponding 

 to the above values of B and C. In the case of the com- 

 bination (^ = 12, $ 4 = 8) the corrected values of v/R have 

 been calculated and set out in the fifth column. Finally, 

 v/R has been calculated from the observed wave-length. 









Table X. 











?3=13, 



? 4 =10. 



v /-r: 





'V^cal. 



9o = 12- 

 <Z4=8. 



"/Robs. 



D. 





X. 



g 3 =12, 

 ?4 =10. 



?3=12, 



g 4 =8. 



P. 



79 



144 



154 



151-4 



152-0 



156-1 



-41 



-2-6 



31 



155 



165 



162-7 



163-6 



166-3 



-2-7 



-1-6 



82 



161 



171 



168-3 



169-4 



171-8 



-24 



-1-4 



83 



166 



177 



174-2 



175-4 



178-1 



-2-7 



-1-5 



90 



209 



221 



217-8 



219-9 



220-2 



-0-3 



-01 



92 



222 



234 



231-1 



2336 



233-4 



+0-2 



4-0-1 



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

 rings with a somewhat high index-number, the determination 

 of the number of electrons becomes more uncertain, especially 

 so long as the value of $ 4 is left undetermined. 



The Second Possibility. Two M-rings. 

 In this case we put into (10) 



i = 3, k = 5, n z = 3, n A =3, n 5 = 4, 

 Pa = 10 > Pi = 10 + Vs, p 5 = 10 + qs + $ 4 , 

 and we get the equation of condition : 



^l-? 5 =/(?3) + ^4- .... (17) 



f{q$) is the right term of equation (16). 



There are several combinations ($3, $ 4 ) which might 

 approximately satisfy equation (17). Thus, e. g., 



($3 = 7, $4=8), ($3 = 8, $4=7), ($3 = 9, $4=5) 



give quite good agreement. 



The combination $3 = 8. $ 4 = 7, and $ 5 = 10 gives the 

 following equation for the frequency : 



V ° = (-- i^N 2 -2-^2N4-^o (18) 



Phil. Mag. S. 6. Vol. 37. No. 219. March 1919. T 



