Below is the unit cell for a salt containing potassium ions (the small dark sphe

Question

Below is the unit cell for a salt containing potassium ions (the small dark spheres) and fullerides, anions of C60. The fulleride ions are the “soccer ball” like spheres in the unit cell. Please note that some of the cations in the unit cell are hidden by the C60 anions. The anions, C60n-, are arranged in a face centered cubic arrangement. The potassium ions occupy all of the octahedral and tetrahedral holes

b.How many potassium ions are there within the unit cell? Show your method.

c.What is the formula of the salt?

d. What is the charge on the fulleride ion?

Explanation / Answer

a)   fulleride ions = 8 (corners) x 1/8 (part) + 6 faces x 1/2 part

= 4

b) K ions = 4 are on edges + 4 are on faces

= 4 x 1/4 + 4 x 1/2

= 1 + 2

= 3

c) formula of unit cell = K3C60

d)charge on the fulleride ion = -3

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