Convert Microradians to NATO Angular Mils
Convert Microradians (µrad) to NATO Angular Mils (mil (NATO)) instantly and accurately.
Conversion Formula
mil (NATO) = µrad × 0.001018591636
About Microradians
A microradian (µrad) is one millionth of a radian (10⁻⁶ rad ≈ 0.206265 arcseconds). It is the standard unit for small angles in precision optics and structural monitoring. A 1 µm wavelength beam from a 1 mm aperture has a diffraction-limited half-angle divergence of ~1 µrad. Atmospheric seeing for ground-based telescopes is typically 2.4-9.7 µrad (0.5-2 arcseconds). Autocollimators resolve angular deviations to 0.05-1 µrad for machine tool alignment. Building tilt monitoring tracks µrad/day. 1 µrad ≈ 0.2063″ = 0.2063 arcseconds.
About NATO Angular Mils
The NATO angular mil equals 1/6,400 of a full circle - π/3,200 rad ≈ 0.9817 mrad. Artillery and mortar crews rely on its practical small-angle equivalence: 1 mil at 1,000 m subtends ~1 m (exact: 0.9817 m), enabling rapid range correction calculations. The 6,400-mil circle divides cleanly: 1,600 mils = 90°, 3,200 mils = 180°. Note: 1 NATO mil ≈ 0.9817 mrad - not the same as a milliradian; the 1.8% difference equals ~18 mm at 1,000 m. 1° ≈ 17.778 NATO mils.
Quick Reference Table
| Microradians (µrad) | NATO Angular Mils (mil (NATO)) |
|---|---|
| 1 µrad | 0.00101859 mil (NATO) |
| 2 µrad | 0.00203718 mil (NATO) |
| 5 µrad | 0.00509296 mil (NATO) |
| 10 µrad | 0.0101859 mil (NATO) |
| 25 µrad | 0.0254648 mil (NATO) |
| 50 µrad | 0.0509296 mil (NATO) |
| 100 µrad | 0.101859 mil (NATO) |