When 149-pm xrays are incident on a metal surface, a maximum diffraction angle of theta is equal to 28.5 degrees is produced. Assuming n=1, what is the separation between layers of metal atoms in this crystal lattice?
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Expert's answer
2017-09-20T13:31:07-0400
The distance between layers of atoms in the crystal lattice can be calculated from the maximum diffraction angle according to the Bragg's law: where d is the distance between layers of atoms, λ is the wavelength. The value of sinθ can be found from mathematical tables: sin(28.5°) ≈ 0.4772. So, we can now calculate d: Answer: the separation between layers of metal atoms in this crystal lattice is 156.12 pm.
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