Blackbody Peak Wavelength and Frequency Calculator
Calculate an ideal blackbody’s wavelength-density peak and frequency-density peak without confusing the two maxima.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Divide the Wien wavelength displacement constant by temperature. Separately multiply the Wien frequency displacement constant by temperature and show cross-converted values.
λmax≈2.897771955×10⁻³/T m; νmax≈5.878925757×10¹⁰T Hz
Worked example
At 5800 K, the per-wavelength peak is approximately 499.616 nm. The per-frequency peak is about 3.40978×10¹⁴ Hz, which corresponds to a different wavelength.
Assumptions and input details
Ideal thermal blackbody and rounded SI constants; temperature 0.001–1e9 K. Maxima depend on whether the spectrum is a density per wavelength or per frequency; converting one peak with c=299792458 m/s does not produce the other peak. No emissivity spectrum, atmosphere, observed color, detector response or total radiated power is calculated. This is distinct from surface heat-exchange calculations.
References: NIST: Wien displacement constants
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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