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Pyrometer Emissivity Correction

Correct a radiation pyrometer reading when the target emissivity differs from the value the instrument assumed.

Input1/T_true = 1/T_ind + (λ / c₂) · ln(ε_true / ε_set) , c₂ = 1.4388×10⁻² m·K

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The engineering

A single-band radiation thermometer measures spectral radiance and converts it to temperature by assuming an emissivity. Set the wrong emissivity and the reading is off — a real surface radiates less than a blackbody at the same temperature, so a pyrometer set to ε = 1 reads low on any real target. This card applies the Wien-approximation band correction to recover the true temperature from the indicated one.

Rule of thumb: shorter effective wavelengths are far more forgiving of emissivity error. At 0.9 µm and 800 °C a 15% emissivity miss shifts the reading only a few degrees, but at 8–14 µm the same error can cost tens of degrees. When you don't trust the emissivity, buy a shorter-wavelength instrument before you buy a better emissivity table — and always let the target fill the field of view.

Where this math comes from

Disappearing-filament optical pyrometers arrived in the early 1900s, letting metallurgists read furnace temperatures by matching a lamp filament's glow against the target. Their fatal flaw was emissivity: oxidized steel, molten glass, and clean tungsten all glow differently at the same temperature, and the operator had to guess a correction from tables.

Wilhelm Wien's 1896 radiation law gives the compact exponential form that makes the band correction a simple logarithm rather than a Planck-function iteration, valid whenever λT is small. Modern infrared thermometry formalized the emissivity-correction procedure — including this spectral-band form — in ASTM E2758, the standard-practice guide for selecting and using radiation thermometers.

  1. 1896Wilhelm WienPublishes the radiation distribution law that yields the exponential band approximation.
  2. 1901Max PlanckFull spectral radiance law — the exact parent of the Wien approximation.
  3. 1901L. Holborn & F. KurlbaumBuild the practical optical (disappearing-filament) pyrometer.
  4. 2015ASTME2758 standardizes selection, calibration, and emissivity correction of infrared thermometers.

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