Analysis of the Tip Temperature of Cone Field Emitters

Based on the heating flow equation, the tip temperature of the cone field emitters were computed self-consistently in Nottingham effect and in Jouel heating. The temperature as a function of structure parameter and physical parameter of the cone emitter was calculated. The results show that Nottingham effect, thermal conductivity and cross section determine the tip temperature obviously, the temperature from this heating cannot possibly be a cause for failure in most tips under normal operating conditions.