普朗克公式中光波长的定义域方程

An Equation on Definitive Range of the Light Wavelength in Planck Formula

引进一个计算精度因子n,导出普朗克公式eb(,λT)=C15λ(eC2λT-1-)1中光波长λ的定义域方程为10nx5j-21.2014exj+21.2014=0.利用该光波长的定义域方程取计算精度因子n=6,计算出温度为200K时的长波长界是1050.986μm,温度为6000K时的短波长界为87.855nm.说明在大多数工程实践可能涉及的温度范围内,当计算精度为百万分之一时,普朗克公式中光波长的定义域即是87.855nm到1050.986μm.

A concept of definitive range on the light wavelength in Planck formula：eb（λ,T）=C1/λ^5（c2/eλ^T-1）^-1 and a method of computing the definitive range are presented in this paper. Give anaccuracy factor n, using the planck formula,and deduce the equation of definitive range on the light wavelength 10^nxj^5-21.2014e^xj＋21.2014=0 Based on the developing equation of definitive range of light wavelength we have calculated with accuracy factor n = 6 that the long wavelength point at temperature 200K and the short wavelength point at temperature 6000K are 1050. 986nm to 87. 855nm respectively. Therefore,the definitive range of the light wavelength in Planck formula at most of all the temperature in engineering practice will be defined within computing factor of millionth as 87. 855nm to 1050. 986μm.