59n 



nnc\23 definitely indicated molecules belong to sets of three, the 

 mutual distances of which are )\ Uh\), i\ {di\), I's {di\), 



etc. 



Here we have not yet tixed in what way these ?<ii(.i2.5 molecules are 

 divided into sets of three, and which two molecules of each set of three 

 have the distance r, {di\) and which that r, {d)\). 



The number of individual macro-complexions contained in the 

 group macro-complexion is: 



w/ 



(3) 



nilaf ^inb\- . . . • Wi u-123/ . • . . 



The micro-complexion is detine<l in the way mentioned Su[)|)l. Lei- 

 den N». 24/; ^ 5. 



Number of micro-complexions in the individual macro-complexion : 

 In di\ //, molecules are to be placed. First we place the /^i,, single 

 molecules. There are at the disposal of the 

 T'^f molecule : ^ places 



b 

 dv 



2nH 



x! 1 — 



Z) — ^ jtt' 



, where 

 • . (4) 



has been wi-itten for the volume of the sphere of action, 



S'"^' molecule : y. \\ — 2 — ; — / places : 



(here an amount ,i has been subtracted from b because of the 

 occurrence of a certain number of cases in which the spheres of 

 action of the molecules 1 and 2 partially overlap each other); 



4'^'' molecule 



>c 1 - 3 



b -2^ 



dv. 



places, etc. 



Thus the distribution of the nia molecules gives for the number 

 in question the factor : 



Calculation of /i: Call the hatched spherical segment .v (/',,). 



Probability that molecule 2 has a distance 

 r,2 from 1 : 



ine lacior : 



dv 



\!\. 1. 



From this we tind 



2t 



r4:7ir\^dr,. 



39 



Proceedings Royal Acad. Amsterdam. Vol. XXI. 



