324 
By these relations we can now write equations (V), § 5., in the form 
(4) 
e 2 N 
V 2 - x 2 - 1 — 4 . n - 
m 
[n Q 2 ' — in 2 — ( cje 2 N/m )] 
’ [ïIq 2 —- n 2 — (co e 2 N/ m)] 2 -\- 4k 2 n 2 
(5) 
O v v - Â rr e — 
2kn 
m 
[ïiq 2 — n 2 — (eu e 2 N/m)] 2 -j -4 k 2 n 2 
Let 
e 2 N , , 
(6) 
11 
71 2 (1 “h G ) î 
«w 0 2 
then the term in square brackets which appears in (4) and (5) can 
be written 
(7) n 0 2 (l—g) — n 2 . 
This substitution being effected, equations (4) and (5) will be seen 
to agree with what can easily be derived *) from Planck’s theory, 
provided that we put (7=0 and k — e 2 n Q 2 /3mc z (cf. § 4). 
In this connection an interesting remark can be made. In the 
equations (4) and (5), replace frequencies by their values in terms 
of wave-lengths, as in § 8.; we have 
( 8 ) 
(9) 
r , » 4nD»[Z*(l^g)-Wl 
0 _ 4nDPP 
v * - rm 
D and T being defined as before by equations (6), § 8. Now write 
for k in the second formula (6). § 8, the particular value this con¬ 
stant assumes on Planck’s Theory viz. e 2 n 0 2 /3 F becomes 
( 10 ) 
r — § 7t 
e L 
m c- 
: 
a result in which everything depending on the nature of the sub¬ 
stance has disappeared. Hence, on Planck’s Theory, F is a universal 
constant. For the sake of illustration let us take the case of a slowly 
moving corpuscle with a charge e of electricity; let its shape be that 
l ) To do this we have only to calculate v 2 — x 2 and in terms of Planck’s 
a and ß (see Sitzungsberichte J. 1902, § 9, p. 488) and in the equations thus 
found to substitute the values of a and ß which follow from Planck’s relations 
(24) p. 488 and (17) p. 486. 
