/3 and 7 Hays from Radioactive Substances. 



157 



Intensity. 



No. 



Tip. 





A 

 B 



j Hahn 



s 



1 



1320 



f 



2 



1390 



vf 



3 



1490 



8 



4 



1580 



f 



5 



1680 



vf 



6 



1750 



s 



7 



1830 



m 



8 



1900 



f 



9 



1970 



s 



10 



2150 



j3. Energy. 



36 



41 



015 

 634 

 660 



682 

 703 

 718 

 735 

 748 

 760 



' 0-353x10' e. 



\ 0-468 „ 



1-218 „ 



1-322 ., 



i 1-475 „ 



1-616 „ 



1-771 „ 



I 1-885 „ 



'2-017 „ 



12132 „ 



2-246 „ 



2-535 „ 



Intensity. 



f 

 s 

 f 

 f 

 f 



8 

 f 



m 



s 

 f 



complex 

 complex 



No. 



Up. 



2190 

 2870 

 3140 

 3420 

 4000 

 4670 

 4800 

 4980 

 5100 

 5700 

 5990 

 11200 

 18100 



0. 



Energj 





•790 



2-595 Xl0 13 e. 



•862 



3-711 , 





•882 



4*155 , 





•897 



4-60 





•920 



5-52 





•940 



6585 , 





•943 



6-79 





•946 



7-07 





•949 



7-26 





•957 



8-18 





•962 



8-63 





•988 



16-6 





•996 



27-0 





observed by Hahn are added to those given by Danysz. 

 The third column gives the value of Hp experimentally 

 observed ; the fourth column /3 the ratio of the velocity of 

 the ft particle to the velocity of light, calculated from the 

 Lorentz-Einstein formula. In the fifth column I have added 

 the value of the energy of the /3 particle. The value of e/m 

 for the (3 particle is taken as 1*772 x 10 7 e.m. units. 



Starting from group No. 21, the differences between the 

 energies of the individual j3 particles comprising the different 

 groups are shown in column 2 of the following table: — 



Number of 



Observed difference 



pV^+qEr 



Calculated 



group. 



m energy. 



difference in energy. 



(21)-(20) 



4- T/V 13 



•4oxl0 e. 



E, 



•456 X 10 13 e. 



.. ~(19) 



V37 „ 



3E, 



T37 



» "(18) 



1-56 „ 



E 2 



1*56 



» -(17) 



1-84 „ 



4E, 



1-82 



„ -(16) 



2-05 „ 



E 1+ E 2 



2-01 



„ -(15) 



3-11 „ 



2E 2 



311 



„ -(14) 



4-03 „ 



2E 1 +2E 2 



4-02 



„ -(13) 



4-48 „ 



3E l +2E 2 



4-48 



,. -(12) 



4-92 ., 



4E. + 2E, 



494 



.. -(H) 



603 „ 



3E 1 +3E 2 



603 



On examining these differences, it is seen that they 

 can be expressed closely by the relation _pE 1 + g r E 2 , where 

 Ei = 0*456 x 10 13 <?, E 2 = 1*556 x I0 13 e, and p and q are whole 

 numbers which may have any values 0, 1, 2, 3, etc. The 

 differences calculated on this hypothesis are shown in the 

 last column, and are observed to be in close agreement 

 for the whole series of lines from No. 21 to No. 11. 

 This relation does not hold below line No. 11, but in all 



