Diffraction Grating Calculator
Compute the angle of maxima d·sinθ = mλ for a grating.
Input Data
Lines Per Mm
lines/mm
Wavelength Nm
nm
Order
Results
17.4576°
1,666.6667nm
At a glance:d·sinθ = mλ with d = 1/N (line spacing). Complements bragg-diffraction and single-slit-diffraction.
Formula
d·sinθ = m·λ.
$$d\sin\theta = m\lambda \Rightarrow \theta = \arcsin\left(\frac{m\lambda}{d}\right)$$How to Use
- Enter line density, order and λ.
- The tool returns the angle.
Case Studies
600 lines/mm, m=1, λ=500 nm
θ ≈ 17.5°.
FAQ
Multiple orders?
Each m gives a spectrum; max m when sinθ ≤ 1.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.