10 



L. VEGARD. 



M.-N. Kl. 



From equation (4) we see that jt- _^ ^ is independent of ij- ^ ^ But p- ^ ^ 

 depends on (}■ and the number of electrons between the q- ring and the 

 nucleus. In order to get an equation of condition between (]j ^_ ^ and q^ 

 we must know the rings iside the i ring, or p-. Thus the natural proce- 

 dure will be to begin with the ring next to the nucleus and proceed 

 outwards, as done in my previous paper. 



Putting pj ^ J ^7,- -hi'/ equation (11 a) takes the form: 



<P (Q, 



Q,+ i = 



''+1 



^P('J,)-'],^A=f{q,), ...(lib) 



where ,4 is a constant independent of q- and q- ^ ^ 



Ä=P, 



11 r 



'l2Bn^,,,,_ 



. . . (inc 



If we have calculated once for all the values of the function (P{q) — q 

 for various values (whole numbers) of q, we have then in any particular 

 case to determine the term to the right for various values of q-, and 

 we have to see whether any of the values of the right term equales 

 any of the values found for ^ (q) — r/. 



The values of (p (q) and <!> [q] — q corresponding to ^y = i, 2, 16 



are given in Table I. 



Table I. 



From the variation shown by <I> {q) — q we kan draw some general 

 conclusions. 



In my previous paper it was shown that in a number of cases the 

 A'-ray spectra might be explained by recombination from secondary 

 circles. If in our general equations (5) we put A- = 2. + i and ^^^._^^ = i 



