Fullerene (C₆₀) crystallizes in an FCC unit cell (edge length =14.14 Å) with one C₆₀ centered at each lattice… · ABC26PH0806

Subject: Physical Chemistry · Chapter: Solid State Chemistry · Topic: Solid State – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

Fullerene $\left(\mathrm{C}_{60}\right)$ crystallizes in an FCC unit cell (edge length $=14.14 \AA$ ) with one $\mathrm{C}_{60}$ centered at each lattice point. The smallest distance (in $\AA$ ) between the centers of two $\mathrm{C}_{60}$ molecules is ____ (Round off to two decimal places)
Answer
SELF-PRACTICE — the source book printed no answer.

Nothing is invented here, so this question has no answer on record.

Explanation
Answer: 10.00 Å — In fcc the nearest neighbours lie along the face diagonal: d = a/√2 = 14.14/1.414 = 10.00 Å.

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