﻿208 Mr. L. St. 0. Broughall on Theoretical 



These equations take the form 



e 2 ( 39 , r r + l r — l ~]\ — 2 



2mr 1 4r 2 L{F+F+^P + ■{ (r " 0' + s ' P /2 J J ~~ ^ ' 



.... (VI.) 

 e 2 r f 1 11 



ml { [( r -Z) 2 + 5 2 ] 3 / 2 " [(r + /) 2 + 5 2 ] 3 / 2 J = G, i 2 - ft) 3 2 . (VII.) 



Using a slightly different value for ' m ' from that used in 

 the previous paper, we obtain the following values : — 



6*19 x 10" 9 cm. 6-034 x 10 16 rad/sec. 4*290 x 10 16 rad/sec, 



'm' being equal to 9*005 x 10 _28 grm. and £ = 4'774 x 10 -10 

 E.S.U. 



These figures refer to the neon atom when in its normal 

 state. There is some doubt as to whether they apply without 

 modification in the gaseous state, but certain assumptions 

 are made later in this paper which leads one to the conclusion 

 that if the atom is larger under natural conditions, then the 

 only result will be the elimination of certain spectral lines 

 in the ultra-violet. When the atoms of the neighbouring- 

 elements were submitted to measurement, they constituted 

 a solid body ; it is, therefore, quite conceivable that modi- 

 fication will occur if the element becomes gaseous. 



In order to explain the nature of the spectral lines, we 

 have to consider the change of energy due to a change of 

 orbit, energy being emitted when the orbit increases in 

 diameter. 



Bohr, as already stated, imagined in the case of hydrogen 

 that the radius of the orbit increased by constant multiples 

 of the radius of the initial orbit. To adopt such a plan in 

 the case of neon would lead to the emission of spectral lines 

 of a frequency which would only give ultra-violet lines under 

 reasonable circumstances. Further, there is no reason why 

 the increment should be of such a nature, and the hypothesis 

 used in our case is that the spherical shell formed by the 

 inner electrons increases in radius until the shell has a 

 radius equal to that of the initial outer shell of electrons. 

 In order that equilibrium may remain, it is essential that 

 the outer shell also expands to an extent which can be 

 calculated from equation (V.). 



The initial increment is of the nature of 3xl0~ 10 cm. 

 This process of expansion continues again and again, the 

 inner electrons always occupying the orbit previously 

 occupied by the outer electrons. 



