Atom X (183.04 g/mol) crystallizes in a face-centered cubic unit cell that has an edge length of 4.262 Angstrom. Calculate the atomic radius.

Chemistry: Principles and Practice
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Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
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Chapter11: Liquids And Solids
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Problem 11.74QE
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Atom X (183.04 g/mol) crystallizes in a face-centered cubic unit cell that has an edge length of 4.262 Angstrom. Calculate the atomic radius.

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Step 1

In case of face centred cubic lattice , the relationship between edge length " a " of unit cell and radius of atom " r " is given by

r = a22

a = edge length of unit cell

r = radius of atom

 

 

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