Optics

Diffraction Grating

dsin⁡θ=mλd\sin\theta = m\lambda

Condition for principal maxima from a diffraction grating. Same form as double-slit but much sharper peaks.

Variables

d
Grating spacing
Allowed values: greater than 0
m
θ
Angle to maximum
°
m
Order number
Allowed values: 0 or more, whole number
unitless
λ
Wavelength
Allowed values: greater than 0
m

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Common questions

What is the Diffraction Grating formula?

Diffraction Grating is written d sin θ = mλ. Condition for principal maxima from a diffraction grating. Same form as double-slit but much sharper peaks. It belongs to Optics, under Wave Optics.

What are the units in d sin θ = mλ?

In SI units, d is grating spacing, measured in m; θ is angle to maximum, measured in °; m is order number (dimensionless); λ is wavelength, measured in m.