Unified Wien's Displacement Law in Terms of Logarithmic Frequency or Wavelength Scale

Abstract

I T IS well known that Wien’s displacement law takes a different formwhenPlanck’s lawisexpressedintermsoffrequencythanthat in terms of wavelength (in vacuum) [1,2]. This can be explained by the different functional relationships because the wavelength is inversely proportional to the frequency of electromagnetic radiation. By introducing a logarithmic frequencyorwavelength scale, aunified Wien’s displacement law is obtained regardless of whether the frequency or wavelength is used as the independent variable. The new characteristic wavelength is approximately 26.6% longer than the conventional Wien’s displacement law in terms of wavelength.