1212 THE BELL SYSTEM TECHNICAL JOURNAL, OCTOBER 1951 



For il = 0, (P is constant and, by Section I, V is harmonic. So we set 



(P = (Poo > (185) 



and 



•U = (? i + 5 (186) 



r 



and obtain from (143) and (144) 



/p = il2/xp ^CCPoo (187) 



and 



In = h^HneC(S>^ . (188) 



From (187) and (188):' 



~ 12)Upe(P^ ~ ^lJLne(?^ ~ QfJLnfJ^pe(P^ 

 and from (186) for "Uoo = 0, 



D = 0. (190) 



Evidently A = is associated with the condition 



flnlp ~~ fJLpIn = 0. 



T. Summary List of Symbols 

 Coordinate Systems: 



(^) >'j 2): ordinary rectangular cartesian coordinates, 

 (p, 6, z) : ordinary circular cylindrical coordinates, 

 (r, d, <t>) : ordinary spherical polar coordinates. 

 Ti : unit radial vector in {r, d, <])). 



t : time variable. 



Physical Variables: 



n : concentration of negative carriers (electrons). 

 p : concentration of positive carriers (holes). 

 (P: total carrier concentration = »+/>. 



cu:^^(p (yv^^o). 



eN 

 (R: recombination rate function. 

 V: electrostatic potential. 



