Gold crystallizes in a face-centered cubic structure. What is the edge length of the unit cell if the atomic radius of gold is 144 pm? 407 pm
333 pm
204 pm
288 pm

407 pm

Explanation:

For any elemental face-centered cubic structure, the relationship between the edge length of the unit cell and the atomic radius of its element is:

√2 * L = 4r

Where L is the edge length and r is the atomic radius.

With that in mind we can calculate the edge length:

√2 * L = 4 * 144 pmL = 407 pm

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