338 



54 



may be remarked that the inlroduclion of the values of the "relative amplitudes" 

 instead of the values of these amplitudes themselves otfers, with reference to the 

 considerations just mentioned, a great advantage. Thus it will be remembered thai, 

 in the case of the estimate of the intensity of a given component, we have beforehand 

 no direct information as regards the relative importance of the values of the corres- 

 ponding amplitude in the initial state and in the final state. For this reason it is of 

 importance that in our tables the amplitudes should be characterised by numbers 

 w bich for the initial states and for the final states are of the same order of magni- 

 tude, but this is just obtained by the introduction of the relative amplitudes. 



Finally the tenth column contains the experimental values for the intensities 

 l)ublished by Stahk in his most recent paper on the Stark eirect of the hydrogen lines ')■ 

 These values refer to the relative intensities of the components of same polarisation 

 belonging to one and the same line, and are according to Stark's statement rather 

 uncertain on account of the well known difficulties involved in the determination of 

 liiese intensities from the density of the image of the components ("Schwärzung") on 

 the photographic plaies. A reproduction of Stahk's photographs of H,i, Hy, //,; will be 

 found on Plate 11, Fig. 5. For the sake of completeness we have, for the lines Hß, 

 Hy andf/,y, in an eleventh and twelfth column added the values fertile relative densities 

 of the images of the com])onents on the photographic plate, given by Stark in his 

 above cited monograph; the densities of the components on the red side of the 

 undisplaced line are given in Ihe eleventh column, those on the blue side in the 

 twelfth column. 



At the head of each table we have, for the sake of orientation, indicated the 

 magnitude in Angström units of the displacement corresponding to J ^ 1 for a 

 field strength of 1Ü0.000 Volt/cM. These values are calculated by means of the 

 following relation, which is directly found from (111), 



o k =- displ. ( J = 1 ; lOO.OOO Volt/cM) = 10 » (h = 10~8 o î^l = î, 6,41 • 10 



' ' c c Sti-' Nem 300 N 



w liere / represents the wave length of the spectral line, expressed in Angström units. 



When considering the tables I, II, III and IV it will in the first place be observed, 

 tlial for most transitions the value of R" is equal to zero. Tbis is due to the fad 

 tliat to the stationary state of the simplified hydrogen atom characterised by n - 2, 

 which forms the final state for the transitions giving rise to the lines of the Bal- 

 mer series, there corresponds, in case an electric Held is applied, only three statio- 

 nary states, i)iz. [002], 1 101] and [Oil], and that the motion of the electron in these 



M .1. Stark, Ann, d. Pliys. XLVIII, p. 19:i (1915). 



-) J. Si AUK, Elelitrisclie Spelttral;Hi;il\ sc cliemisclicr Alimu . i ;ilVl III. lig 1. Tlie arrows on tlie 

 l)hotograph of Hß indicate the position of the unreal lines ("(nistt r w hiili, on account of the imperfec- 

 tion of the grating, accompany the image of a component situated at the place of the original line, 

 riic arrow on the photograph of //;' indicates the position of the mercury line 4359 Å, which, as it is 

 seen, appears with considerable intensity. 



