rj96 



collision is not infiiiitelj small or negligibly small, but will have a 

 certain, tlioiigli small, jet finite value. 



It is self-evident that as soon as (p is no longer near 0, but 



assumes some valne {T no longer very high), u'* will very soon rise 

 to higher values than 7» ^'o' i^^ ^^'onsequence of the increasing influence 

 of the terms with (p, hence c- will decrease from 6 to lower values. 



^ 6. b. Low Temperatures. 



At low and very low temperatures u^ will approach to 0, i.e. (p 

 to oc. The general equation (6) then passes into 



• 1. «/ ■ 



?/' =z \n 



in 

 — (f 



[/^f '".'( 



''^ + i 



in which in the denominator the very small time of the collision 

 may be neglected by the side of the time that approaches logarith- 

 mically infinite under the intlnence of the attractive forces. Thus we 

 get with — log {1 : 2if) z= log 2'f , and after division in numerator 



and denominator by \X — 



è«.' 



2/ 



loq ( 2(f I 



But in first approximation also 7j '"^ I /^ ^ ^^'^7 '•ow be neglected by 



the side of 1 in the numerator, as s will then be so many times 

 greater than ƒ. And besides log 2(f may be neglected by the side of 

 r/', when 7 approaches oo. Hence we finally get: 



{I— ay 2f 



in which 7* is = .— (of. (1) in § 4). From this it already 



«0' m 



appears that the ratio between ti^ and ii^^ will approach x , i.e. 

 likewise the ratio R2^: {E--Ea). P'or 7^ is infinitely great with re- 

 spect to log ff''. However, u' itself will also approaci) to 0, as ii^^ rp^ 

 remains finite (see also the beginning of ^ 4j. But while the time, 



