Version 0.1
Content
1 From black body concept to Planck’s law of radiation 2
1.1 Introduction 2
1.1.1 Nomenclature 2
1.1.2 The black body concept 3
1.1.3 Stefan-Boltzmann’s law 4
1.1.4 Lambertian emission and Stefan-Boltzmann radiance 4
1.1.5 Wien’s displacement law 5
1.1.6 Wien’s distribution law 6
1.2 Rayleigh-Jeans law of radiation 7
1.2.1 Stationary waves in the cavity 7
1.2.2 Counting the cavity modes 9
1.2.3 The volumetric energy spectral density of the cavity 10
1.2.4 Comparison with the Wien’s distribution law 10
1.3 Planck’s law of radiation 12
1.3.1 The energy quantization assumption 12
1.3.2 The frequency proportionality assumption 13
1.3.3 Wien’s displacement law in frequency and wavelength 15
1.3.4 The Stefan-Boltzmann law and the measurable radiated power 17
2 Elementary Earth’s thermodynamics 18
2.1.1 Black body thermal equilibrium 18
2.1.2 An elementary greenhouse effect formulation 19
3 References 20
Abstract
The concept of black body and the wavelength distribution of the emitted electromagnetic radiation as a function of the body temperature are the first steps to study and understand Earth’s thermodynamics and climate issues.
Keywords
Black body
BlackBodyV0-1