cc-P articles with Hydrogen Nuclei. 499 



in the experiments of p. 553, which connected those curves 

 too-ether, especially in E and possibly B. From fig. 4 we 

 deduce fig. 5, where p is plotted against (V / V) 2 for constant 

 values o^0. Here V is 2 x 10 9 cm. per sec, the velocity of 

 the fastest a-particles. The reason for t iking this function 

 of V as abscissa is, that it is the form in which V naturally 

 •occurs, when the law of interaction is the inverse square. 

 The irregularity of the lie of the curves of fig. 4 becomes 

 very marked in the carves of fig. 5, and to obviate this some 

 smoothing has been applied to them. 



Fig. 5. 













^. 



-A 





^° 



v 











_e^ur_____ 



{Vo/Vj 



21-2 



1-4 



1-6 



Experimental Collision Relation (p, V). 



The constant curves have been plotted with (V /V) 2 as abscissa, 

 where V = 2xl0 9 cms. per sec. 



5. The Reduction of the u-particle to Rest. 



•ce can 



We now proceed to study what special laws of for^ 

 produce collision relations in any way resembling figs. 4 

 and 5. In doing so we are practically limited to those with 

 integrable solutions, as the task of investigating orbits by 

 the method of small arcs is too great to be undertaken, until 

 some definite evidence is obtained as to the probable structure 

 of the nuclei— especially when it is remembered that it 

 would be necessary to treat of variations of P with both 



tfandV. . .... 



Before proceeding with these special cases it will be 

 -convenient to prove a simple general theorem applicable^ to 

 the collision, of any two bodies. It is only a slight extension 



