Wien Peak Wavelength Calculator

Wien displacement wavelength-radiance peak B_lambda, not frequency-radiance peak converted to wavelength. Model only, not an ephemeris, measured stellar identity or observational guarantee.

Description

A blackbody's spectral peak depends on whether radiance is expressed per wavelength or per frequency.

A blackbody's spectral peak depends on whether radiance is expressed per wavelength or per frequency.1

Wien's wavelength relation applies to the wavelength-radiance convention used here. Use Wien Peak Wavelength Calculator to evaluate the supplied inputs under the model explained below.

When to use Wien Peak Wavelength Calculator

Use Wien Peak Wavelength Calculator to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Wien Peak Wavelength Calculator and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Blackbody temperature kelvin using the field table and validation rules below, then run the tool.
  3. Read Wavelength radiance peak nm; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
blackbodyTemperatureKelvinBlackbody temperature kelvinnumberRequired; constraints below

Enter a positive finite blackbody temperature in K. Divide the committed Wien wavelength constant 2897771.955 nm·K by temperature. Return the wavelength-radiance peak in nm; no frequency-radiance peak, emissivity or observed spectrum is calculated.

peakWavelengthNm=2897771.955/temperatureK

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
wavelengthRadiancePeakNmWavelength radiance peak nmnumber
json
{
  "input": {
    "blackbodyTemperatureKelvin": 5000
  },
  "output": {
    "wavelengthRadiancePeakNm": 579.554391
  }
}

Limitations and assumptions

Wien's wavelength relation applies to the wavelength-radiance convention used here. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Stefan-Boltzmann Luminosity Calculator for a related task: Stefan–Boltzmann emission combines surface area and temperature to the fourth power.

Use Star Radius From Luminosity and Temperature for a related task: A blackbody radius can be inferred from bolometric luminosity and temperature.

References

  1. Wien Peak Wavelength Calculator — tool.io

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