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Refractive Index of Air Calculator

Calculate the refractive index of air using the modified Edlén equation (Birch & Downs 1994) with humidity correction. Accounts for wavelength, temperature, pressure, humidity, and CO₂.

The refractive index of air deviates from unity by roughly 2.7 × 10⁻⁴ at standard conditions — small but significant in interferometry, laser ranging, and any path-length-sensitive measurement. This calculator applies the modified Edlén equation (Birch & Downs 1994) with Peck & Reeder dispersion to compute n(λ, T, P, RH, CO₂) at wavelengths from 300 to 1700 nm. Inputs are vacuum wavelength, air temperature (5–45 °C), total pressure (80–110 kPa), relative humidity (0–100 %), and CO₂ concentration. Outputs include the refractive index to eight decimal places, the shortened in-air wavelength, optical path length correction per meter of air path, and a breakdown of individual contributions from dispersion, CO₂ deviation, and humidity.

Input
Refractive Index
n (air)
Modified Edlén (Birch & Downs 1994)
1.00027146
Refractivity (n−1)×10⁸
27146.2
Wavelength in Air
λ_air
λ_vac / n
632.6283nm
OPL correction
(n − 1) per meter of air path
271462nm/m
Contribution Breakdown (×10⁸)
Dispersion (std. air)
Peck & Reeder
27653.4
CO₂ correction
Δ from 450 ppm
0
Humidity correction
f = 933.0 Pa
-3.391e+1
Abridged Optics — Refractive Index of Air Calculator v1.0Modified Edlén (Birch & Downs 1994) · Peck & Reeder dispersion · Sonntag 1990 water vapor · Valid 300–1700 nm

All information, equations, and calculations have been compiled and verified to the best of our ability. For mission-critical applications, we recommend independent verification of all values. If you find an error, please let us know.