1920. No. 2. 



ON THE X-RAY SPECTRA. 



23 



of depart (system from which recombination starts). As we have seen 

 these changes are not large; but still they may be great enough to 

 effect the curve v^=f{X), and give to it a characteristic curvature, 

 which also should be found for the experimental curve. 



In order to cary out this test we shall calculate the fre([uencies for 

 all atomic numbers between 11 and 30. We shall consider the (quantity : 



^ A' 9"^' 



ßX-\-C-^e 



.(22) 



In table XII are given the values of B and C\ for values of ((■, 

 varving from i to 12. 



Table XII. 



From these values of B and C and from the values of s for K^^ 

 and L^^ we can determine J for various atomic numbers. The results 

 are given in Table XIII. 



The variation of J with the atomic number is represented in fig. 2. 



Curve II. is drawn from Debye's values which are calculated on the 

 assumption of recombination from a secondary circle. 



The curves III. and III', represen tthe above values of for fj-,, -^ \2 and 

 /^3 = 8 respectively. Curve I is drawn so as to represent the observed 

 values of J. It should be remembered that errors may be attached to 

 the observed frequencies, and that the absolute error of frequency will 

 greatlv increase with increase of atomic number. Thus the curve J obs. 

 can be drawn with a considerable accuracx' up to about A = 30, but 

 the position ot the true experimental curve is somewhat uncertain for 

 heigher values of ,V. 



We see that bot curves (III. and III'.) run very near to the experi- 

 mental curVe I., and they give a much better agreement than the curve 

 of Debye. 



