大学物理 ›› 2026, Vol. 45 ›› Issue (2): 73-.doi: 10.16854/j.cnki.1000-0712.250321

• 大学生园地 • 上一篇    下一篇

黑体辐射的峰值频率与峰值波长的讨论

姚乐为,苏威   

  1. 1. 中山大学 物理与天文学院,广州珠海519082;2. 中山大学 物理学院,广东广州510275
  • 收稿日期:2025-06-14 修回日期:2025-08-05 出版日期:2026-05-15 发布日期:2026-06-09
  • 作者简介:姚乐为(2004—),男,湖南沅江人,中山大学物理学院2022级本科生.
  • 基金资助:
    国家自然科学基金面上项目(12473060),中山大学教学质量与教学改革工程项目(中山大学教务[2026]36号)资助.

Discussion on the peak frequency and peak wavelength of blackbody radiation#br#

YAO Lewei1,2,SU Wei1#br#   

  1. 1. School of Physics and Astronomy, SunYatsen University, Zhuhai, Guangdong 519082, China;
    2. School of Physics, SunYatsen University, Guangzhou, Guangdong 510275, China
  • Received:2025-06-14 Revised:2025-08-05 Online:2026-05-15 Published:2026-06-09

摘要: 黑体辐射的研究不仅促进了热力学的发展,也直接导致了量子力学的产生. 温度高于绝对零度的黑体会向外辐射电磁波. 对于电磁波,其频率与波长的乘积等于光速c. 维恩位移定律表明,黑体辐射的峰值波长与温度的乘积等于维恩常数. 然而,从普朗克黑体辐射公式出发,得到黑体辐射的峰值频率与峰值波长的乘积约等于光速的0.568倍,而不是光速c. 对于这一反直觉的结果,本文从黑体辐射本领的定义出发,讨论频率形式和波长形式的黑体辐射本领定义的差异与联系,并澄清了这一反直觉的问题.



关键词: 黑体辐射, 电磁波, 维恩位移定律 

Abstract: The study of blackbody radiation has not only promoted the development of thermodynamics but also directly led to the emergence of quantum mechanics. A blackbody at a temperature above absolute zero can radiate electromagnetic waves. For electromagnetic waves, the product of frequency (ν) and wavelength (λ) equals the speed of light c. Wiens displacement law states that the product of the peak wavelength of blackbody radiation and temperature equals Wiens constant. However, deriving from Plancks blackbody radiation law reveals that the product of the peak frequency and peak wavelength is approximately 0.568 times the speed of light, not c. To address this counterintuitive result, we examine the differences and connections between the definitions of blackbody radiation power expressed in terms of frequency and wavelength, thereby elucidating this counterintuitive issue.


Key words: blackbody radiation, electromagnetic waves, Wiens displacement law