1920. No. 2. 



ON THE X-RAY SPECTRA. 



'5 



We see tliat the curve of Debye is the best for small atomic 

 numbers. From a mere numerical comparison it would hardly be pos- 

 sible to decide, which curve and which assumption is the right one. 



b. The /.^j-line. 



§ 6. 



The L^^-Vine is produced by recombination between a system with 

 quant-number 3 to one with quant-number 2. We shall first suppose 

 that there is only one ring with quant-number 2 and that recombination 

 takes place between successive systems. On this assumption we have : 



i = 2, th, - 2, ;/3 = 3, P2 = 3, p^ = ^^2 + 3, B= 2,06 (approx ), 



and the equation (ir^) takes the form : 



*^ '/3) — 'h - ''/-i ^ i'h) — 'h — 5Ö2 = /'(72) 



•('3) 



Values of / ('/2) corresponding to various values of r^o are given in 

 Table V. 



Table V. 



/<93) 



6,50 



- 6,40 — 5,98 — 4,80 



3.65 



- 2,34 



— o,t 



+ 0,67 



Comparing the values of /"(^2) with those of <P [<]-^ — '^3 (Table I) we 

 see that the equation of condition (13) is approximately fulfilled by the 

 following two combinations: 



'?2 — - 7, '?3 == I ^ 1 2 

 Hi = 8, f^3 = 16. 



The first solution corresponds to the one found i Paper Land given by: 



([o = 7 and (jo = I. 



The second solution 72 = 8, ^/3=16 must be considered as im 

 probable on account of the large number of electrons in the third system. 

 Further, the explanation of Ä'^ and M^^ makes the assumption of 73 = 16 

 impossible. The only possibility is to assume 7 electrons in the second 

 ring, and the coefficients B and C are determined by the equations: 



