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Copper crystallizes in a face-centred cubic lattice with a unit cell length of 361 pm. What is the radius of copper atom in pm?

1. 157
2. 181
3. 108
4. 128

Correct answer: 181

Solution

In a face-centred cubic (FCC) lattice, the relation between the atomic radius (r) and the edge length (a) is r = a/(2√2). Substituting a = 361 pm, we get r = 361/(2√2) = 181 pm.

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