中文摘要：

（相关）色温是色度学中用以描述物体色度特性的物理量，与基于谱色测温法而得到的热力学温度之间是存在差异的。对于可见光波段内具有单调发射率的连续辐射光源，通过辐射光谱的分析，建立（相关）色温与热力学温度之间的数学关联是可行的，因而，它们之间的相关性温差与发射率模型变量的变化规律在文章中给予了详细的理论分析，并给出了相应的数值模拟结果。文章的理论与数值分析讨论将为色温计成为测温计做出更充足的理论准备。

英文摘要：

Correlated color temperature, which describes the chromaticity characteristics of a radiating source, is different from its thermodynamic temperature derived from primary spectrum pyrometry. However, establishing their mathematical relation ship is feasible. Therefore, the authors theoretically analyzed the variation rule of the correlativity difference between the correlated color temperature of the source and its thermodynamic temperature with the emissivity parameter. And the authors gave the corresponding numerical simulation results. The above theoretical and numerical discussions will make it possible that a colorimeter used to measure the correlated color temperature serves as a pyrometer to realize the measurement of the thermodynamic temperature.