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Quantum & Atomic Physics

Bragg's Law

The mathematical condition for constructive interference of waves scattered from parallel atomic lattice planes in a crystal.

Governing formula n λ = 2 d sin θ
SI unit m or nm (Wavelength and Spacing)

In depth

When X-rays or matter waves of wavelength λ strike crystal planes separated by distance d at glancing angle θ, path difference between reflected waves equals 2 d sin θ. Constructive interference occurs when path difference equals an integer multiple of λ.

Examples in the real world

X-ray crystallography determining 3D molecular structures of complex proteins and DNA.