246 Dr. L. Vegard on the X-Ray Spectra 



Hence, we conclude that it is only for the rings nearest to 

 the nucleus that we may expect to find definite values from 

 the Rontgen-ray spectra for the number of electrons in the 

 ring-systems — provided we stick to the hypothesis of recom- 

 bination between primaries and conservation of momentum. 



Applications to Special Cases. 



a. Tlie K a -line, 



§ 5. In the case of K« t = l, «i = l, n 2 = 2, p x = 0. 

 Further, the empirical relation of Moseley shows that B is 

 approximately equal to 1*5. Inserting these values into 

 (lib) the equation of condition takes the form 



<t>(q2)-<]2=±<p(qd-qi-3=f(qi)- ■ • . (12) 



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

 corresponding to maintenance of energy. The only difference 

 is that q 2 is subtracted from the left term. 



In Table II. is given the variation of f (qy) : — 



Table II. 



1 -4-000 



2 -3-000 



3 -i-076 



4 +1-388 



5 +4-208 



6 +7-328 



Comparing the values of f{q\) with those of $iq2)—q2 

 (Table I.), we see that independent of q 2 the only possible 

 value of q is 3. 



With regard to the number of electrons in the second ring 

 (q 2 ) we notice that q 2 = l gives the solution of Debye ; but 

 besides there should be good agreement with observations 

 for values of q 2 between 7 and 11. The constants B and C 

 corresponding to some values of q 2 are given in Table III. 





Table III. 





q 2 . 



1 



B. 

 1-464 



C. 



-0-125 



7 



1-876 



+3-38 



8 



1-810 



+3-M8 



9 



1-706 



+4-42 



10 



1023 



+5-05 



11 



1-489 



+ 5-43 



