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Diffraction Grating Calculator

Find the angle of a diffraction order.

Inputs

Results

Angle19.26878°

Chart

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Describe what you want to find — “spectrometer angle” — and jump to the right calculator.

How to use the diffraction grating calculator

Find the angle of a diffraction order. Enter lines per mm, wavelength, order in the fields above; the angle is computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “spectrometer angle”, “lines per mm grating”, “spectral order”, “calculate diffraction grating”, “find angle”.

Formula

Angle (°) = asin(m × lam × 1e-9 × N × 1000)

Variables

  • N — Lines per mm
  • lam — Wavelength (nm)
  • m — Order

Worked example

With lines per mm = 600, wavelength = 550 nm, order = 1, the calculator gives angle ≈ 19.26878 °.

Frequently asked questions

What is the diffraction grating calculator used for?

Find the angle of a diffraction order. It helps with questions such as “spectrometer angle”, “lines per mm grating”, “spectral order”.

What is the formula for the diffraction grating calculation?

Angle (°) = asin(m × lam × 1e-9 × N × 1000). Here N is lines per mm, lam is wavelength (nm), m is order.

What inputs do I need for the diffraction grating calculator?

You need lines per mm, wavelength in nm, order. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the diffraction grating calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the diffraction grating result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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