(59) 
the equations (2) and (3) change into (2') and (3), and the formulae 
(1), if first differentiated with regard to ¢, take the form (1). 
As. to the equations of motion (4), these become 
3 JM, EDy 
mn — (12 
> 4 cH) 45 0), ete.(12) 
10°M, d f dM» g dM 
EN 
e ot F3 
e dt? 
A mv 
or, if we put for D the value (2'), and multiply by ou : 
€ 
ved 4 n v* 0° M, 
2 
any ba eh Mah & OF 
An vt fd Mz ce dM, dM, yy 
en eee PES Jer — Sr: t . . 13 
e? dt € dt B) ca He 
This agrees with (4')1). At the same time we are led to the fol- 
lowing relations between the coefficients 
i eS 
’ 
A & Ne? 
Cs 1)=- A st vt z 
4 7 4 4 4 
RN NS Re aie ee re in al 
2 Ne? BES Ne 
§ 6. If we suppose a molecule to contain a certain number of 
ions, each of which can be displaced from its position of equilibrium, 
the total electric moment M may be split up into the parts M;, Mg,..., 
corresponding to the displacements of the separate ions. In this case, 
the equations (1'), (2’) and (3’) will still hold, but instead of (4°) we 
shall have as many times three equations, as there are ions in the 
molecule. For the sake of brevity, I shall put © =9'=3'=0 2), 
If, now, we wish to write down the equation (6) for the h ion, 
ADE ed 
we have to replace x by xj, but the term gue, will still con- 
tain the total moment My. Instead of (4) we shall therefore get 
1) Vorer’s formulae in Wied. Ann., Bd. 67, p. 345 are likewise of the same form. 
2) 1. c. § 105. 
