Wien's Displacement Law Calculator

Inspectable records

Ledger state

The current ledger marks this instrument verified clean within the source-bound verification corpus.

Area

Physics — Kinematics/Projectiles/Orbits, Forces/Energy/Momentum, Rotational Dynamics, Gravitation, Oscillations/Waves, Optics, E&M Fields, Relativity, Quantum, Statistical Thermo

Tranche

tranche-5

Evidence ID

t5-230

Ledger rows

1

No ledger note is attached.

Review findings

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.

Formula and scope findings

• 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.

Unit assumptions

• 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.

Boundary hardening

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.

Errata and corrections

No applied erratum is attached to this unique-name record.

Inspectable example

4 review vectors are recorded. One source-bound sample is shown below.

{
  "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."
}

Related workflows

No source-defined multi-instrument workflow membership is recorded.

Sources and evidence

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

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