230 Dr. L. Silberstein on Boundary Difficulties 



In the general case it is obvious that we get the same form 



log, K e =* + ^ + 7 loo-, 6 4 8 . 6. 



where E 



a = i2?ilog*g + Slog, r, 



When the reaction takes place [without change in the 

 number of molecules, j is zero. 



Summary, 



1. From Maxwell's distribution theorem we have deduced 

 a simple expression for the number of gas molecules per c.c. 

 having velocities greater than a particular value. 



2. Assuming that only molecules with kinetic energies 

 greater than a definite minimum have the power to react 

 with other molecules, we have shown how the " velocity 

 constant" of a gaseous read ion varies with the temperature. 



3. Further, we obtain the usual form of expression for 

 the variation of the "equilibrium constant" with the 

 temperature. 



London, November 1918. 



XXII. Boundary Difficulties of Einstein' s Gravitation Theory. 

 By L. Silberstein, Ph.D.* 



IN n letter to the Editors of 'The Observatory' (vol. xli. 

 Oct. 1918, p. 380), supplementing the deductions of my 

 first note on this subject f, I have derived from Einstein's 

 field- equations J the following cubic for the principal curva- 



* Communicated by the Author. 



f "Bizarre Conclusion, &c", Monthly Notices of the Eoy. Astrono- 

 mical Society, vol. Ixxviii. p. 465. 



t These equations are, in usual notation, 



Gij = « liffijT - T£ - \ 9i j{i,j = ■ 1, 2, 3, 4), 



where A is a universal constant. 



