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The radius of an atom of an element is 5...

The radius of an atom of an element is `500` pm. If it crystallizes as a face-centred cubic lattice, what is the length of the side of the unit cell?

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To solve the problem of finding the length of the side of the unit cell for an element that crystallizes in a face-centered cubic (FCC) lattice with an atomic radius of 500 pm, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the FCC Structure**: In a face-centered cubic (FCC) lattice, atoms are located at each corner of the cube and at the center of each face. This arrangement affects the relationship between the atomic radius and the edge length of the unit cell. 2. **Identify the Relationship**: ...
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