227 
1918-19.] An Electron-Transference Hypothesis, etc. 
the molecular refractive index “ arising from the coupling of the atoms 
together may easily be comparable with the part due to the corpuscles 
within the atoms.” 
Adopting this assumption, we have in our notation 
<Al = ^2 - 0 anc i c f i l = c f i 2~ 4>i 
since the interaction is entirely between the positive spheres of electricity. 
In expression 2’41 we shall render the term in 0 explicit by using the 
following notation : 
2 . 42 K = where f\ = 1 - mp 2 /t v 
\ a 2= 
2*43 
2-44 
2</> 
{9 i = <l> + 9i 
1^2 = ^ + 9*2 
f 2 = 1 ~ mp 2 lt 2 
9 1~ — P 2 * 
9 2 ~ ^2^2 — ^2P^' 
Pi-/ 10 + ^1 >> h-y— f \9 1 
1^2 "rf 2^ 4- /i 2 J5 ^2 = / 29 2 ~ ^2^2’ 
Substituting these values in 2’41, we obtain 
2-45 J-li 
= (V 
e /h\ 
2$ 1 4" 0 W j i \ 
J 40 • • -IttN 
V 1 
fj 
Kti-Ji'z + cf>v h\J 
+ f E 
6 / A 2 N \ 
P 1 ' if 2 + <t>u j'M 
^ \^2 
f’J 
\7i\h' 2 + <j>v h' 2 J 
2*46 . . . • where u =/ 1 / 2 + f 2 j\ 
2‘47 . . . . and v = f-Ji 2 + fji r 
Equation 2'45 can be put into the form 
P 
2-48 12 
■§7tN h\h' 2 + cf>v 
u (Ej + Eg-P'^ 
e f x l e V-2\ 
/ 1 f 2 
It is easy to show that the force on the positive electrification of atom 2 
due to that of atom 1 is of the order of magnitude of 
© 
2E 1 E 2 
|p ( X 2 ~ X l) = ~ ( t ) ( X 2 ~~ X l) > 
where D is of the order of the distance between the centres of spheres of 
positive electrification, i.e. 
D = 0(2. lO" 8 ). 
• 0 = « 
••9 D 3 ’ 
2-49 
i.e. 0 6 ’471^2 . 10 17 
in order of magnitude. 
All the equations which follow, and which equate quantities to 
numerical values, are to be taken to be true only in so far as order of 
magnitude is concerned. 
