( 1<^3 ) 



so a fortiori 



^/•s ^ <*.9 , firs ^ <^r 



— J>— ana -\^—j 



hrs K ^h-x f>r 



so that tiie binary mixjure (r, .s) llioii «ives a maxiniuni. 



Tn the same way as for a minimum we reason here, thai to have 

 an ahsohite maximnm in a nnxture of 2t (resp. 2^-j-l) components 

 we must recpiire at least maxima in t (resp. / -j- 1) hi nary mixtures. 



For a furtiiei- investigation we sliali have to look more closely 

 into the quantities hj^^^ and r/^,^. 



For />j„f \\Q shall use the formula given by Lokentz 



V, = 2. ^/, .T (r, + r,y ^), 



where r^ represents the radius of the molecule of the /^t'' component. 

 This formula holds good for /> = ^ too. 

 The coefücient of A" in the equation A„ = is 



(- 1)" 



h,, b,, . 



^.,1 b., ... bo,, 



(- 1)" Ai. 



bill bn2 ■ • . b,t 



Now we have 



Ai=4 = (7« ^)^ ^ ('■:->'.)^ ('\-rJ' {r-rX {r,-r,Y {r-r^Y {r-r.y. 

 For live componenis the determinant on the />'s vanishes identically ; 

 for we find 



A(.r,) A(5) =: A--,) A(.5) — A ■•'(5) = 



(''.-''5) (''n-''J(''..-''.-,)r = 0. 



So A(5) = as A(5) is iiot identical e([ual to 0. 

 44 

 53 



For the determinant of the ordei" () not only all minors belonging 



1) Wied. Ann. l!2 [>. 134. In reality still another constant factor N presents 

 ilseli' here. 



-) These results have l)een obtained by remarking tliat iUki, is always divisible 

 by {ï'p — >>)2; the coetHcienls of the remaining factor have been ionnd l)y means 

 of the method of indeterminate coelïicients. 



