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?

Question

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

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Doris 6 months 2021-07-13T18:45:51+00:00 1 Answers 12 views 0

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    2021-07-13T18:46:58+00:00

    Answer:

    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 pm
    • L = 407 pm

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