12 



L. VEGARD. 



M.N. Kl. 



Hence we conclude, that — as long as we are dealing with approxi- 

 mate formulas — it is only for the rings nearest to the nucleus that we 

 may expect from the Röntgen-ray spectra to find definite values for the 

 number of électrons in the ring-systemsprovided we stick to the hypo- 

 thesis of recombination between primaries and preservation of momentum. 



Applications to Special Cases, 

 a. The A'^-line. 



§ 5- 

 In the case of K^ i = i, «1 = 1, >^2 = ~, Ih -=' O. Further the em- 

 perical relation of Mosely shows that B is approximately equal 1,5. 

 Incerting these values into (11^) the equation of condition takes the form: 



^ ('?2) — <^2 = 4 ^ (Vi) — <h — })^f i'h) 



'2) 



This equation is analogous to the one given in Paper I. corresponding 

 to maintenance of energy. The only difference is that 70 is subtracted 

 from the left term. 



In Table II. is given the variation of / ('/1): 



Table II. 



Comparing the values oïf(q) with those of ^ ((/2) — 72 (Table I), we 

 see that independent of qo the only possible value of q is 3. 



With regard to the number of electrons in the second ring (72) ^^'^ 

 notice that 70 = ' gives the solution of Debye; but besides there should 

 be good agreement with observations for values of q.^ between 7 and ii. 

 The constants B and C corresponding to some values of ({.^ are given 

 in Table III. 



