| 引用本文： |
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陈广生,卢文全,蔡如华,丁宣浩.普朗克公式中光波长的定义域方程[J].广西科学,2006,13(3):194-195,202. [点击复制]
- CHEN Guang-sheng,LU Wen-quan,CAI Ru-hua,DING Xuan-hao.An Equation on Definitive Range of the Light Wavelength in Planck Formula[J].Guangxi Sciences,2006,13(3):194-195,202. [点击复制]
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| 摘要: |
| 引进一个计算精度因子n,导出普朗克公式eb(λ,T)=C1/λ5(eC2/λT-1)-1中光波长λ的定义域方程为10nxj5-21.2014exj+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. |
| 关键词: 普朗克公式 光波长 定义域方程 计算精度因子 |
| DOI： |
| 投稿时间：2005-12-13修订日期：2006-03-22 |
| 基金项目:广西自然科学基金项目(桂科自0542046) |
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| An Equation on Definitive Range of the Light Wavelength in Planck Formula |
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CHEN Guang-sheng1, LU Wen-quan2, CAI Ru-hua3, DING Xuan-hao3
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| (1.Department of Computer Applied Science, Hechi Professional College, Hechi, Guangxi, 547000, China;2.No. 34 Research Institute, China Electronic Technology Group Corporation, Guilin, Guangxi, 541004, China;3.Department of Computational Science and Mathematics, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| A concept of definitive range on the light wavelength in Planck formula:eb (λ, T)=C1λ5 (eC2/λT-1)-1 and a method of computing the definitive range are presented in this paper.Give an accuracy factor n, using the planck formula, and deduce the equation of definitive range on the light wavelength 10nxj5-21.2014exj+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. |
| Key words: planck formula light wavelength equation of definitive range accuracy factor of computing |
