266 Dr. A. 0. Orehore on the Construction of the 



orbit of the hydrogen electron, or 15,010 times greater than 

 the radius of the carbon atom itself, as we will show that the 

 carbon atom has a radius of 8*14 a^ units. 



The value of I may now be found by equating the total 

 translatiorial force in (6) to zero, giving 



tm 2 



1 = 4*010^-, a # units (9) 



To obtain I in centimetres multiply (7) by a^ and obtain 



Z = 4-010— ^-centimetres. . . .(10) 

 And numerically 



Z = -- 010 X-02xl0- 8 Sm 2 = -006683xl0- 8 Sm 2 , cm. . (11) 



J-^ 12 12 



Equating this theoretical value to the experimental value 

 of I given above, namely, 2*528 x 10" 8 , we obtain the value 

 of the sum of the squares of the radii 



Sm 2 = -KTrTTTTwr, = 378, for carbon atom. . . (12) 

 i 2 "000600 



This result is in very close agreement with the theory given 

 in the paper f referred to, which makes the carbon atom con- 

 sist of an outside ring of eight and an inside ring of four 

 electrons. In this theory the radius of the positive electron 

 is '735 x 10~ 12 cm., and the radius of the carbon atom with 



12 electrons -735 X 10" i2 x 12* = 1*684 x 10" 12 cm., or 

 8*14 a^ units, 



Applying the formula (75) of a former paper J to find the 

 radius of the outside ring of electrons on the assumption that 

 the four inner electrons are at the centre of the atom, the 

 radius of the outside ring is *828 of the radius of the positive 

 sphere, or 6*735 a^ units. Using the experimental deter- 

 mination with suspended charged spheres of the relative 

 values of the inner and outer rings as given in the table, 

 p. 37, of the paper referred to for the combination 12 = 8 + 4, 



6*735 

 2*88 

 the radius of the inner ring. The sum of the squares of the 



namely, the ratio 2*83, we get ^ » ■ = 2*338 a* units for 



t Zoc. cit. 



% Phil. Mag, vol. xxvi. p. 79, July 1913. 



