ATM-002 · The quantum nature of radiation Sample material

Thermal radiation. Planck's hypothesis and formula

The laws of thermal radiation (Kirchhoff, Stefan–Boltzmann, Wien), the 'ultraviolet catastrophe' of the classical Rayleigh–Jeans formula, Planck's quantum hypothesis and formula, and optical pyrometry.

Estimated time: 3 h 5 activities

Learning objective

Become familiar with the quantities describing thermal radiation (radiant exitance, spectral density, absorptivity).
Understand and apply the Kirchhoff, Stefan–Boltzmann and Wien laws.
Understand the crisis of classical physics in explaining black-body radiation and the essence of Planck's hypothesis.
Learn to determine the temperature of a body by optical pyrometry.

Expected outcomes

Can explain the concept of an absolute black body and Kirchhoff's law.
Calculates radiated power, temperature and peak wavelength using the Stefan–Boltzmann and Wien laws.
Comparing the Rayleigh–Jeans and Planck formulas, justifies the necessity of energy quantization.
Distinguishes radiation, brightness and colour temperatures and knows how a pyrometer works.

Interactive modelBlackbody radiation

Activities

Lecture
Lecture · 1 h 20 min · required
Thermal radiation. Kirchhoff's law. The Rayleigh–Jeans law. Planck's hypothesis.
Practice · 1 h 20 min · required
Determination of the Planck constant
Laboratory · 1 h 30 min · optional
The Rayleigh–Jeans law. Optical pyrometry
Self-study · 6 h 10 min · optional
Final test
Test · 20 min · required · pass ≥ 70%

Completion conditions

  • Lecture
  • Thermal radiation. Kirchhoff's law. The Rayleigh–Jeans law. Planck's hypothesis.
  • Final test — at least 70%