Laue equations

In crystallography, the Laue equations relate the incoming waves to the outcoming waves in the process of diffraction by a crystal lattice. They are named after physicist Max von Laue (1879–1960). They reduce to Bragg's law.

Let ${\displaystyle \mathbf {a} \,,\mathbf {b} \,,\mathbf {c} }$ be the primitive vectors of the crystal lattice ${\displaystyle L}$, whose atoms are located at the points ${\displaystyle \mathbf {x} =p\,\mathbf {a} +q\,\mathbf {b} +r\,\mathbf {c} }$ that are integer linear combinations of the primitive vectors.

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