57. There are two unknowns, the x-ray wavelength λ and the plane separation d , so data for scattering at two angles from the same planes should suﬃce. The observations obey Bragg’s law, so 2 d sin θ 1 = m 1 λ and 2 d sin θ 2 = m 2 λ. However, these cannot be solved for the unknowns. For example, we can use the ±rst equation to
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