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Pyrometer Emissivity Correction Calculator

An infrared thermometer set to the wrong emissivity reads the wrong temperature. Correct a reading from the instrument setting to the true target emissivity, for single wavelength pyrometers.

EmissivityInfrared thermometerWien approximationWavelength
°C
ε
ε
µm
Corrected temperature813.9 °C
Correction+13.9 K
λT product1,073 µm·K
How this result was calculated
  1. 1/T = 1/Tm + (λ ÷ c₂) × ln(εtrue ÷ εset), c₂ = 14,388 µm·K
  2. T = 813.9 °C
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Emissivity Correction (Wien)

1 ÷ T = 1 ÷ Tm + (λ ÷ c₂) × ln(εtrue ÷ εset)

Temperatures in kelvin, λ in µm and c₂ = 14,388 µm·K. Valid for single wavelength (narrow band) pyrometers where λT is below about 3000 µm·K.

Worked example

A 1 µm pyrometer set to ε = 0.95 reads 800 °C on steel with true ε = 0.8. The corrected temperature is about 814 °C.

Key insight: short wavelength pyrometers are much less sensitive to emissivity errors than long wavelength (8 to 14 µm) ones, which is why 1 µm instruments are preferred for hot metals.
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Frequently Asked Questions

What is emissivity?

The ratio of radiation emitted by a surface to that of a perfect black body at the same temperature, from 0 to 1.

Why does a low emissivity surface read low?

It emits less radiation than the instrument expects for its temperature, so the instrument underestimates the temperature.

How can I find the true emissivity?

Compare with a contact thermocouple at a known temperature and adjust the emissivity until the readings agree, or paint a spot with high emissivity paint.

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