Convert Nanoradians to Microradians
Convert Nanoradians (nrad) to Microradians (µrad) instantly and accurately.
Conversion Formula
µrad = nrad × 0.001
About Nanoradians
A nanoradian (nrad) is one billionth of a radian (10⁻⁹ rad), the smallest angle unit in regular scientific use. LIGO and Virgo gravitational-wave observatories maintain mirror tilts to sub-nanoradian stability - a 1 nrad tilt on a 4 km mirror shifts the reflected beam by 4 nm. Earth-tidal deformation deflects the local plumb line by roughly 50 nrad over a full tidal cycle, measurable with superconducting gravimeters and ring-laser gyroscopes. Synchrotron X-ray beamline mirrors are steered to single-digit nanoradians by piezo actuators. 1 nrad = 10⁻⁹ rad ≈ 0.206 µas.
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.
Quick Reference Table
| Nanoradians (nrad) | Microradians (µrad) |
|---|---|
| 1 nrad | 0.001 µrad |
| 2 nrad | 0.002 µrad |
| 5 nrad | 0.005 µrad |
| 10 nrad | 0.01 µrad |
| 25 nrad | 0.025 µrad |
| 50 nrad | 0.05 µrad |
| 100 nrad | 0.1 µrad |