JEE Advanced 2022 Chemistry question

ChemistryThe Solid StateJEE Advanced 2022

Atom X occupies the fcc lattice sites as well as alternate tetrahedral voids of the same lattice. The packing efficiency (in %) of the resultant solid is closest to

Answer: (B)

Solution

Atoms per cell: 4 (fcc sites) + 4 (half of the 8 tetrahedral voids) = 8, all of the same radius . An atom in a tetrahedral void touches the corner atom along the body diagonal: $a = 2r

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Question ID VK-034058