[Single-digit Integer] X-ray diffraction analysis of crystalline C60 (buckminsterfullerene) shows that the crystal structure at 300 K can be regarded as FCC with a one-molecule basis and unit cell edg

Question

[Single-digit Integer] X-ray diffraction analysis of crystalline C60 (buckminsterfullerene) shows that the crystal structure at 300 K can be regarded as FCC with a one-molecule basis and unit cell edge length of sqrt(2) nm; the molecules are orientationally disordered due to rotation. The centre-to-centre distance (in nm) between nearest neighbour C60 molecules in the solid at 300 K is

Prashant Kotian · Accepted Answer

Correct answer: 1. In a Face-Centred Cubic (FCC) lattice, the nearest neighbours touch along the face diagonal. The center-to-center distance d between nearest neighbours is half of the face diagonal length: d = a * sqrt(2) / 2 = a / sqrt(2). Given a = sqrt(2) nm: d = sqrt(2) / sqrt(2) = 1 nm.

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