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In a body-centred cubic lattice, there are eight atoms positioned at the corners of the cube and one atom located at its center. Determine the length of the cube's edge.

1. 154 pm
2. 508 pm
3. 100 pm
4. 200 pm

Correct answer: 508 pm

Solution

In a body-centred cubic (BCC) lattice, the relation between the edge length (a) and the atomic radius (r) is given by a = 4r/√3. Using this relation and the given data, the edge length is calculated as 508 pm.

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