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In this paper the Planck function is derived in the frequency domain usingthe method of oscillators. It is also presented in the wavelength domain and inthe wave number domain. The latter is mainly used in spectroscopy for studyingabsorption and emission by gases. Also the power law of Stephan and Boltzmannis derived for these various domains. It is shown that this power law isgenerally independent of the domain in which the Planck function is presented.A formula for the filtered spectrum is also given and expressed in the sense ofthe power law of Stefan and Boltzmann. Furthermore, based on Wien'sdisplacement relationship, it is argued that the wavelength at which themaximum of the Planck function presented in the wavelength domain occursdiffers from that of the maxima of the other domains by a factor of 1.76. AsPlanck determined his elementary quantum of action, eventually called thePlanck constant, and the Boltzmann constant using Wien's displacementrelationship formulated for the wavelength domain, it is shown that the valuesof these fundamental constants are not affected by the choice of domain inwhich the Planck function is presented. Finally, the origin of the Planckconstant is discussed.

Planck's blackbody radiation law: Presentation in different domains and determination of the related dimensional constants