Convert Microradians to Sextants
Convert Microradians (µrad) to Sextants (sxt) instantly and accurately.
Conversion Formula
sxt = µrad × 9.549296586e-7
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 Sextants
A sextant, as an angle unit, equals 1/6 of a full circle - π/3 rad = exactly 60°. The marine sextant (invented ~1730s by John Hadley and Thomas Godfrey) measures the altitude between a celestial body and the horizon; its 60° arc gives 120° measurement range via double reflection. The 60° angle is geometrically fundamental: equilateral triangles, regular hexagons, hexagonal crystal structures, and sp²-hybridised carbon (benzene, graphene) all exhibit 60° symmetry. 1 sextant = 60° = π/3 rad = 100 grad.
Quick Reference Table
| Microradians (µrad) | Sextants (sxt) |
|---|---|
| 1 µrad | 9.549 × 10-7 sxt |
| 2 µrad | 1.91 × 10-6 sxt |
| 5 µrad | 4.775 × 10-6 sxt |
| 10 µrad | 9.549 × 10-6 sxt |
| 25 µrad | 2.387 × 10-5 sxt |
| 50 µrad | 4.775 × 10-5 sxt |
| 100 µrad | 9.549 × 10-5 sxt |