604 



whence 



BELL SYSTEM TECHNICAL JOURNAL 



■P 



A,= 



^ )_46 + l^ y ^b-\-?> p, I ^'+lp3 



2b 



3b 







1 + 2P 



for constant 

 mean lifetime 



(88) I 



-'[ 



J ^ 336 + 6 ^ ^ 70/) + 27 ^2 ^ 736 + 43 ^3 



12/» 



186 



^ 386 + 30 ^4 ^ 2b + 2 ^5 



^3 = 



306 



96 



246 



1 + 2P 



for mass-action recombination. 



For Jo = +1, or field aiding, the ^'s are determined somewhat more 

 simply, recursive relationships obtaining. The results are: 



(89) 

 and 



Ax = -P 1 + 



b^'-V^]^ 



(90) < 



^3 = [1 + 2P] 

 ^5 = [1 + 2P] 

 ^7 = [1 + 2P] 



.+^-±ip 



1 + 

 1 + 



6 



a^aU^-^aI 



[AM' + 2^—r^AiAz 



- P^IAM' + A^A^] 



6- 1 



^9 = [1 + 2P] 



\+'4^P 



+ 2 



UM' + [AM'] 



AiAi, + 2^3 



+ 2^-iUl.47 + -l3/lB] 

 



The identification of the series in the parameter y as series for lield 

 opposing and field aiding is accomi)lished by evaluating them for small 

 P and then comparing them with the first terms of the corresponding 

 Maclaurin's series in P, expanded in powers of y. Further agreement is 



