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Diffraction of Light

Problem 5.154

A narrow beam of X-rays impinges on the natural facet of a NaCl single crystal, whose density is ρ=2.16 g/cm3\rho=2.16 \mathrm{~g} / \mathrm{cm}^{3} at a glancing angle α=60.0∘.\alpha=60.0^{\circ} . The mirror reflection from this facet produces a maximum of second order. Find the wavelength of radiation.

Reveal Answer
λ=2km2ρ3sin⁡α=244pm, where k=2,m is the mass of the NaCl molecule \lambda=\frac{2}{k} \sqrt[3]{\frac{m}{2 \rho}} \sin \alpha=244 \mathrm{pm}, \text { where } k=2, m \text { is the mass of the NaCl molecule }
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