Worksheet: Atomic Radii from Lattice Parameters

In this worksheet, we will practice calculating the radii of atoms or ions in a crystal from the lattice parameters and Bravais lattice type.

Q1:

X-rays of wavelength 0.1435 nm are diffracted by a cubic metal lattice, producing a second-order ( 𝑛 = 2 ) reflection at 2 𝜃 = 4 1 . 2 0 . The metal has a density of 19.3 g/cm3 and a molar mass of 197 g/mol. Calculate the radius of the metal atom.

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