612 Precision-measurements in the X-Ray Spectra. 



An elegant treatment of the same problem has been given 

 by Sommerfeld * in intimate connexion with the investi- 

 gations of Kroo. In the paper of Sommerfeld the disturb- 

 ances are taken into consideration and their influences are 

 numerically deduced. The results show the effect c£ the 

 disturbances to be without influence in comparison with 

 the older measurements where the accuracy is of the order 

 01-02 per cent. only. By increasing the precision of the 

 measurements there seems to be some possibility of obtain- 

 ing at least a qualitative conception of the disturbances in 

 the atom-planetary system. 



Fig. 3. 



A 



0-5 



0-4- 

 0-3 

 0-2 

 0-1 



-0-1 



-0-2 



The following table gives an illustration of the congruence- 

 between the formulae 3, 4, 5 and the empirical values. In 

 the last columns are the deviations from the Kroo formula 

 also given; these differences are represented in fig. 3. 







'^ s 









^^ 



i 





^. 3 



20 



2 5 ^S^tk 





^^ 



N. 



Sommer- 

 feld (1916). 



17 192-38 



19 243-89 



20 272-00 



21 301-62 



24 39992 



26 473-32 



27 512-49 



28 553-13 



29 595-47 



30 639-43 



Lund Physical Laboratory, 

 December 31, 1918. 









Kroo- 



Per 



Debye. 



Kroo. 



Exp. 



Exp. 



cent. 



192-53 



192-73 



193-12 



-0-39 



-0-20 



24411 



243-76 



244-06 



-0-30 



-0-12 



27215 



271-60 



271-86 



-0-26 



-o-io 



301-77 



30099 



301-22 



-0-23 



-008 



400-09 



398-55 



398-70 



-0-15 



-003 



473-57 



471-49 



471-58 



-009 



-002 



512-68 



510-34 



510-29 



-0-05 



-0010' 



553-36 



550-80 



55073 



-007 



- o-oia 



595-72 



592-85 



592-75 



-0-10 



-0017 



639-66 



636-54 



636-42 



-0-12 



-0019 



* Sommerfeld, Phys. Zs. 1918, p. 297. 



