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Illustration Bragg reflection on two lattice planes

<span>Bragg reflection on two lattice planes</span>
Bragg reflection on two lattice planes

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An incident X-ray wave (shown here as a beam) of wavelength \( \class{violet}{\lambda} \), is reflected at two adjacent lattice planes (dots are lattice atoms). The glancing angle \(\theta\) is the angle at which an interference maximum occurs in the interference pattern.

The X-ray wave reflected at the deeper lattice plane has to travel a larger path. This path difference corresponds to exactly TWICE: \( \class{blue}{d} \,\sin(\theta) \). However, the path difference must also equal a multiple of the wavelength for constructive interference of the two waves to occur: \( m \,\class{violet}{\lambda} \).