670 



THE HELL SYSTEM TECHNICAL JOURNAL, MAY 1953 



and 



£n = 



<£p = 



' kT/q ' 



K 



'kT/q 

 2Sp 



1/2 



-11/2 



(17) 



(18) 



We now use the reference quantities defined in (13)-(15) to introduce 

 the normalized distance 



y = 



£' 



the normalized thickness of the intrinsic layer 



(19) 



(20) 



the normalized concentrations of positive and negative mobile carriers 



_ P 



fjVPV/2 



the normalized potential 



and 



1-t- 

 *=^.' 



n = 



n 



(NP) 



1/2 



(21, 22) 



(23) 



and the normalized electric field intensity 



E 



tl^ 



^b/£ 



(24) 



In terms of these normalized variables, the governing equations 

 ((l')-(4')l for the intrinsic region become: 



dtS 1,. ., 



<4 

 55 



= -S. 



(25) 

 (26) 

 (27) 

 (28) 



