Spectrometer Resolution Calculator

Calculate spectral resolution from grating, focal length, slit width, and detector parameters for Czerny-Turner spectrometers.

Grating & Geometry

Groove density (G)

Focal length (f₂)

Included angle (2θ)

Diffraction order (m)

Center wavelength (λ)

Slit & Detector

Entrance slit width

Detector pixel width

Number of pixels

Diffraction Geometry

Incidence angle α

24.511°

Diffraction angle β

-5.489°

Dispersion

Angular dispersion

602.8µrad/nm

Linear dispersion

0.1507mm/nm

Reciprocal linear dispersion

6.636nm/mm

Dispersion per pixel

0.0929nm/pixel

Resolution

Slit-limited δλ

0.0664nm

Pixel-limited δλ

0.2787nm

Resolution factor (RF)

3.000

Effective δλ (pixel-limited)

0.2787nm

Resolving power R

1908.8

Coverage

Spectral coverage

190.3nm

Free spectral range

532.0nm

Abridged Optics — v1.0Grating equation solved numerically with included-angle constraint α = β + 2θ. Resolution factor interpolated from standard RF values. Assumes first-order unless specified.