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BELL SYSTEM TECHNICAL JOURNAL 



here the general integration of Eqs. (26) and (27) for p arbitrarily large. 

 Equation (26) may be written in the form: 



■gradi/', 



where 



1^ = kTyip 



L6 + 1 {b+ 1)2 



Equation (27) then becomes: 



W = 



2bp bib - 1)N, ,_ r ^ (b + 1)A " 



(IB) 



(2B) 



(3B) 



The radial solution of this equation corresponding to a total current Ip 

 is: 



lA = -Aoo + /p/2xr. (4B) 



0.01 0.02 0.04 0.06 0.1 0.2 0.4 0.6 1.0 2 



Fig. 10. — Correction factor for surface recombination. 



The constants Ip and ^^ are determined from the boundary conditions 

 (30) and (31) of the text corresponding to r = Vh and r = x . These con- 

 ditions give: 



kTii 



2bp, 



2{b - 1) 



.6+1 (b + 



Tp = lirn (^Pin) - tAj, 





= 27rrb 



2b{pb - Pi) _ bib - l)Nf ^/ + (6 + Dp,' 



i2 ^^ hAT 



b-\r 1 



ib + 1)-^ 



bNf + (6 + l)/>,- 



(5B) 



. (6B) 



This equation is the appropriate generalization of Eq. iiS) of the text. 

 Since the equations are no longer linear, they do not apply strictly to the 

 added hole concentration. However, if the normal hole concentration, pa, is 

 small, pu will be negligible in comparison with pi,a and p„ when the equa- 



