Free Diffraction Grating Calculator

Calculate diffraction angles using the grating equation: d * sin(theta) = m * lambda.

nm
nm

Diffraction Angle

19.26 °

Diffraction Angle vs Slit Spacing (d)

Diffraction Grating

A diffraction grating splits light into its component wavelengths at specific angles.

Formula

d * sin(theta) = m * lambda

where d is the slit spacing, m is the diffraction order (1, 2, 3, ...), and lambda is the wavelength. The slit spacing d = 1/(lines per unit length).

Example Calculation

First-order diffraction of 550 nm light through a 600 lines/mm grating (d = 1667 nm).

  1. 01d * sin(theta) = m * lambda
  2. 021667 * sin(theta) = 1 * 550
  3. 03sin(theta) = 550/1667 = 0.3299
  4. 04theta = 19.26°

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