Worksheet: Stoichiometry from Diffraction Data

In this worksheet, we will practice determining the stoichiometry of crystals from systematic absences and the relative diffracted beam intensities.

Q1:

When X-rays of wavelength 0.1315 nm are diffracted by a crystal, the first-order reflection occurs at an angle 𝜃 = 2 5 . 2 5 . Calculate to 3 significant figures the spacing of the crystal planes that give rise to this reflection.

Q2:

X-rays of wavelength 0.147 nm are diffracted by a crystal with a layer spacing of 3.94 Å. Calculate the diffraction angle 𝜃 of the first-order reflection.

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