908 



Dr. A. 0. Creb ore on 



This ratio, the unknown radius of the equivalent ring of 

 the electron to the semi-minor axis, is plotted in Curve I. 

 fig. 6, as ordinates against the eccentricity, e, as abscissae by 

 the use of (29). From the geometrical properties of the 



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1 



i 









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\i 









\ 





\ 



/? 





m 









n 





J 





2 





\ 



> 



/ 











\ 



/ 



1 











/ 











1 



/ 











u/ 









1 













.5 £ r .8 S 1.0 

 8 



Fig. 6. — Curve I. is the graph of the ratio of the radius of the ring of 

 the equivalent electron to the semi-minor axis obtained from (29). 

 a/b= \/ 2/e. Curve II. is the graph of the ratio of the semi-major 

 to the semi-minor axis of the electron, "both ratios "being plotted 

 against the eccentricity. The curves show that the eccentricity 

 must be greater than e = '82 the point of intersection, and they 

 indicate that the eccentricity must exceed about *9. The vain" 

 used is '945, corresponding to a /b = 3*058. 



ellipse the ratio of the semi-major to the semi-minor axis in 

 terms of the eccentricity is 



a /b= (1- 

 which is plotted as Curve II 



fig. 6. The two curves 



