What is the edge length of a face-centered cubic unit cell made up of atoms having a radius of 139 pm?
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What is the edge length of a face-centered cubic unit cell made up of atoms having a radius of 139 pm?
2017-12-11 12:48 am
回答 (1)
2017-12-11 12:58 am
In Chemistry, (Diagonal of the face of a face-centered cubic unit cell) = (Radius of an atom) × 4
In Trigonometry, (Diagonal of the face of a cube) = (Edge length) × √2
Hence, (Radius of an atom) × 4 = (Edge length) × √2
(139 pm) × 4 = (Edge length) × √2
Edge length = (139 pm) × 4 / √2 = 393 pm
In Trigonometry, (Diagonal of the face of a cube) = (Edge length) × √2
Hence, (Radius of an atom) × 4 = (Edge length) × √2
(139 pm) × 4 = (Edge length) × √2
Edge length = (139 pm) × 4 / √2 = 393 pm
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