258 
Ny, Single molecules (with no other molecule within their sphere 
of influence) 
N14, Molecules belonging to pairs which are separated by a distance 
lying between r, and r, + dr,, 
Nyse molecules belonging to sa separated by a distance lying 
between 7, ander; duin ete, ) . PEER ee 
the 2,, molecules in. dv, tis we ner bide into 
M2, Single molecules etc. 
The group micro-complexion is determined by these numbers 91, 
ete., when no account is taken of the individuality of the molecules. 
Determination of the micro-complexion : 
Each of the equal elements dv is divided into * equal volume- 
elements dw whose linear dimensions are still small in comparison 
with the dr, ete. which we have just introduced. Otherwise the deter- 
mination of the micro-complexion is just the same as in § 3. 
The number of individual macro-compiexions in the group macro- 
complexion is 
n! 
Mia Mw! Mye!..- 
Nia! . 
The number of micro-complexions in the individual macro-complexion 
is found in this way: All the volume-elements dv, etc. are independ- 
ent of each other, so that we can obtain the total number of micro- 
complexions by finding the number for each volume-element dv, and 
multiplying these together. We shall first assign to each of the 
hy = Mh, de Man Mae dee ne Mja en en ete (24) 
molecules in dv, its place in the micro-volume-elements dw... door, 
and thereafter give it its proper speed as obtained in the determi- 
nation of the individual macro-complexion. The latter operation will 
not give rise to any change in the number of micro-complexions. 
In dv, therefore we have got to place 
n, specified molecules. 
Of these: 
Nia specified molecules are to be single | 
TA Ns 2, are to belong to pairs whose distance apart 
lies between 7, andr, + dr, 
Rara BIE 
where 
fi, iia WU ee 2 
Nyy) = M151 + man +: 
The first of the 71, molecules gives rise to x possibilities according 
to which of the x elements dw it is placed in. When the first 
ere ) 
