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Worksheet: Atomic Radii from Lattice Parameters

Q1:

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

  • A 204 pm
  • B 177 pm
  • C 182 pm
  • D 144 pm
  • E 136 pm