The influence of As surface concentration CSEon the emitter efficiency βγand the temperature dependence of βγare reported. The theoretical model that is used to explain the variation of βγwith CSEis based upon the difference in the effective energy bandgaps in the emitter and base regionsg. Experimental measurements ofgversus CSEare presented. Measurements of βγversus CSEshow that the effective emitter doping densityQE/xebreaches a maximum value atCSE 1.5 × 10²⁰atoms/cm3, corresponding to the threshold above whichg > 0. For the case of a constant active base doping/cm2QB, this also corresponds to an optimum in the emitter efficiency βγ. However, it is shown that in typical sequential diffusion processing of transistors, βγincreases monotonically with CSEbecauseQB = QB(CSE)decreases. In addition, for devices fabricated in this study,Δβγ/SEatCSE=2 × 10²⁰atoms/ cm3for As-diffused emitters (doped oxide) was ≈ 5 times greater than for ion-implanted-diffused As emitters, showing the superiority of implantation in controlling gain. Finally, transistors that were made withCSE 1.4 × 10²⁰atoms/cm3(g = 0) showed βgamma(85°C)/ βγ(-15°C) ≤ 1.05.
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Richard B. Fair (1973) studied this question.
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