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An element crystallizes in fcc lattice having edge length 400 pm. Calculate the maximum diameter of atom which can be placed in interstitial site without distorting the structure.

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In fcc, interstitial sites will be octahedral voids and tetrahedral voids

For tetrahedral voids

r1/r2 = 0.225

For octahedral voids

r1/r2 = 0.414

where r1 → radius of atom in interstitial sites

r radius ofatom arranged in fcc

so  4r2 2 a,

For maximum diameter of atom in interstitial site, octahedral voids will be considered

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