Wien's Displacement Law Calculator mechanism

Model scope

The numerical formula is standard and valid under its wavelength-domain and kelvin-unit assumptions. Resolve the exact band/color mapping, input validation policy, and constant precision before release.

• The formula λ_max = b/T is correct for the wavelength at which a blackbody's spectral radiance per unit wavelength peaks, assuming T is absolute temperature in kelvins and b = 2.898e-3 m·K.
• The requested spectral color/band output has no defined classification or conversion rule. A wavelength peak can be assigned to a band, but perceived color is not uniquely determined by peak wavelength alone.
• The stated b value is a rounded approximation; the calculator should document its precision or use a more precise CODATA value if matching reference calculations is required.

Units and conventions

• T must be an absolute temperature in kelvins (K), not degrees Celsius or Fahrenheit.
• λ_max is returned in metres when b = 2.898e-3 m·K; equivalent unit conversions must be labeled explicitly.
• The formula applies to the wavelength-domain blackbody spectrum. The peak frequency and peak wavenumber use different Wien constants and do not equal c/λ_max in general.
• Temperature must be strictly greater than 0 K.

Inspectable vector

One of 4 source-bound review vectors:

{
  "inputs": {
    "T_K": 300
  },
  "expected_outputs": {
    "lambda_max_m": 0.00000966,
    "lambda_max_um": 9.66,
    "spectral_band": "infrared"
  },
  "working": "λ_max = b/T = (2.898e-3 m·K)/(300 K) = 0.00000966 m = 9.66e-6 m = 9.66 μm. This is infrared."
}

Failure boundary

BREAK_CLAIMED · SELF_FLAGGED

The plain arithmetic formula produces an undefined result at T=0 K, can overflow to Infinity for an extremely small positive temperature, and produces a negative nonphysical wavelength for negative temperatures unless explicit input validation is added. A bare temperature value also permits a K-versus-°C convention error.

Other records

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

• VERIFIED_LEDGER.json
• evidence-tranche5/tranche5-results.json
• BOUNDARY_HAZARD_CATALOG.json