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Astronomy & space · Grades 9–12

Blackbody peak wavelength

This is the peak of spectral radiance per wavelength; a frequency-spectrum peak is a different definition.

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Method and conditions

This is the peak of spectral radiance per wavelength; a frequency-spectrum peak is a different definition.

λmax T = 2.898 × 10⁶ nm K

Worked examples

A model blackbody has temperature 12900 K. Use Wien constant 2.898×10⁶ nm K to find its wavelength-spectrum peak. Round the final result to 4 decimal places if needed. Answer in nm.

Divide 2.898×10⁶ nm K by 12900 K.

224.6512 nm

A model blackbody has temperature 12200 K. Use Wien constant 2.898×10⁶ nm K to find its wavelength-spectrum peak. Round the final result to 4 decimal places if needed. Answer in nm.

Divide 2.898×10⁶ nm K by 12200 K.

237.541 nm

Try it

  1. A model blackbody has temperature 14200 K. Use Wien constant 2.898×10⁶ nm K to find its wavelength-spectrum peak. Round the final result to 4 decimal places if needed. Answer in nm.

  2. A model blackbody has temperature 7800 K. Use Wien constant 2.898×10⁶ nm K to find its wavelength-spectrum peak. Round the final result to 4 decimal places if needed. Answer in nm.

Check your work

Answers and marking notes
  1. 204.0845 nm

    Divide 2.898×10⁶ nm K by 14200 K.

  2. 371.5385 nm

    Divide 2.898×10⁶ nm K by 7800 K.

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