516 Dr. N. Bohr on the Effect of 



Tin's formula gives for every hydrogen line two components 

 situated symmetrically with regard to the original line. 

 Their difference in frequency is proportional to the electric 

 force and equal to * 



A^IAe^-^ 2 ) (22) 



47T em v 



According to the deduction of (21) we may expect that 

 for high values of n the radiation corresponds to vibrations 

 parallel to the electric force. From analogy with the above 

 considerations and in order to obtain agreement with Stark's 

 result we shall assume that this polarization holds also for 

 small values of n. 



Introducing in (21) the experimental values for e, m, and 

 A, and putting E = 43'3 corresponding to an electric force of 

 13,000 volt per cm., we obtain for the distance between the 

 components of H l 3(n 1 = 2; n 2 —A) and H y (?? 1 ™2; n 2 — o), 

 4*77 . 10" 8 and 6'65 . 10~ 8 cm. respectively. We see that 

 these values are of the same order of magnitude as the dis- 

 tance observed by Stark between the two components pola- 

 rized parallel to the electric force, viz. 3*6 . 10 -8 and 

 5*2 . 10~ 8 cm. The values calculated are somewhat higher 

 than those observed ; the difference, however, might possibly 

 be due to the difficulties, mentioned in Stark's paper, of the 

 determination of the magnitude of the electric force in his 

 preliminary experimental arrangement. 



For the ratio between the displacements of H^ and H 7 we 

 get from (21) 7168, independent of the magnitude of the 

 electric force. It will be seen that this value agrees closely 

 with that observed, viz. 3"6/5*2 or 069. In this connexion 

 it may be noticed that the value calculated for the ratio in 

 question is independent of the value of the numerical factor 

 in the expression (21), and consequently of the detailed 

 assumptions used in deducing this expression. The value 

 for the ratio can be derived directly from the assumption of 

 the existence of a series of stationary states, in which the 

 energy can be expressed in terms corresponding to ascending 



powers ot t> — 



A possible origin of the feeble components polarized per- 

 pendicular to the field, which were observed by Stark, may 



* Note added during the proof — In the P//ys. Zetisrhr. of Feb. 1, 

 A. Garbasso and E. Gehrcke {cf. note, p. oil) have deduced expressions 

 for Av which differ from (22) only by a numerical factor of 2 and 4/3 

 respectively. The arguments of Garbasso are stated very briefly, but 

 seem of a' type similar to those of the present paper. The line of 

 arguments of Gehrcke differs essentially from that used here. 



