Modern Physics

Bragg's Law

2dsinθ=nλ2d\sin\theta = n\lambda

Condition for constructive interference in X-ray diffraction from crystal planes. Used to determine crystal structures and to create X-ray spectrometers.

Variables

d
Lattice spacing
m
\theta
Angle of incidence/reflection
°
n
Order of diffraction (1, 2, 3...)
unitless
\lambda
Wavelength
m

Derivation

Path difference between rays reflecting from adjacent planes must equal whole wavelengths.

Your notes

0/5000

Common questions

What is the Bragg's Law formula?

Bragg's Law is written 2dsinθ= nλ. Condition for constructive interference in X-ray diffraction from crystal planes. Used to determine crystal structures and to create X-ray spectrometers. It belongs to Modern Physics, under Quantum Mechanics.

What are the units in 2dsinθ= nλ?

In SI units, d is lattice spacing, measured in m; \theta is angle of incidence/reflection, measured in °; n is order of diffraction (1, 2, 3...) (dimensionless); \lambda is wavelength, measured in m.

How is the Bragg's Law formula derived?

Path difference between rays reflecting from adjacent planes must equal whole wavelengths. The result is 2dsinθ= nλ.