A certain metal M crystallizes in a lattice described by a face-centered cubic (fcc) unit cell. The radius r of M atoms has been measured to be 179.pm. Calculate the lattice constant a of a crystal of M. Be sure your answer has the correct number of significant digits, and be sure it has the correct unit symbol.

The lattice constant 'a' of the crystal of M is 506. pm

Explanation:

We are given:

Atomic radius of metal M = 179 pm

To calculate the edge length, we use the relation between the radius and edge length for FCC lattice:

Putting values in above equation, we get:

Hence, the lattice constant 'a' of the crystal of M is 506. pm

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