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Physics

Blackbody Radiation Calculator

Calculate Wien peak wavelength and Stefan-Boltzmann radiation power.

Last validated: 2026-02-14

Blackbody Radiation Calculator estimates peak wavelength and emitted power from temperature using ideal thermal-radiation laws. A blackbody is an ideal emitter and absorber whose spectrum depends only on temperature. Wien's displacement law states that hotter objects emit peak radiation at shorter wavelengths, which is why very hot objects shift from infrared toward visible light. The Stefan-Boltzmann law states that total emitted power rises with the fourth power of absolute temperature, so small temperature changes can produce large power changes. Emitting area scales total power, while real materials may emit less than an ideal blackbody because emissivity is below one. This calculator is useful for physics intuition, thermal design screening, and astronomy examples.

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Input Pattern

Enter values in the left panel, keep units explicit, run the calculation, then copy or share the result. Invalid fields are highlighted immediately.

Blackbody Inputs

Result

Peak wavelength (Wien): 499.616 nm

Radiant exitance sigma*T^4: 64168769.431116 W/m²

Total power (area * sigma*T^4): 64168769.431116 W

How to use this tool

  1. Enter Temperature (K), Emitting area (m²) for the blackbody radiation calculator, keeping units, dates, or text format consistent with the form labels.
  2. Confirm all units and known variables before running the calculation so the formula is applied consistently.
  3. Click "Run the tool" and review Blackbody Inputs, Result for the primary output.
  4. Verify units and assumptions, especially before using the result for design, lab, or safety-sensitive work.

Worked Example

Auto-generated from the tool's current default or entered inputs.

Example Inputs

  • Temperature k: 5800.0
  • Area m2: 1.0
  • Peak wavelength m: 4.996158543103448e-07
  • Peak wavelength nm: 499.6158543103448
  • Radiant exitance w m2: 64168769.43111582

Expected Outputs

  • Temperature k: 5800
  • Area m2: 1
  • Peak wavelength m: 0
  • Peak wavelength nm: 499.615854

Interpretation

Confidence and limitations

Formula References

Assumptions

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