普郎克定律的一个新推论

A New Conclusion from the Planck's Law

根据热辐射基本定律———普郎克定律,推导出了一个新的推论。即对于任意温度T的黑体辐射源,总存在一对应波长λδ,该波长对应的黑体单色辐射亮度对温度T的偏导数最大,且λδT =2 4 10 .3μm·K。这一结论对于单波长辐射温度计设计中探测器波段的选择有重要参考价值,根据此结论可以推出温度测量灵敏度最高的波长。

A new conclusion is deduced from the Planck's Law, that is, for a blackbody in arbitrary temperature, there is always a wavelength λ_δ at which the radiance's derivative to temperature T is the maximum, and λ_δT=2 410.3 μm·K. This conclusion is very useful for the selection of wave-band in the design of single wave-band radiation thermometer.