从热传导方程出发,考虑Nottingham效应和焦耳热情况下,采用自洽求解了圆锥形场发射体的尖端表面温度;定量讨论了温度与给定的圆锥形场发射体的结构参量与物理参量的关系。结果表明:Nottingham效应、热导率和锥体横截面积的大小对尖端表面温度起决定作用,由Nottingham效应和焦耳热产生的温度在通常发射电流情况下,并不会达到钼的熔点温度而引起微尖锥发射体的失效。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.