Activity III.A

Build the proposed structure for buckminsterfullerene (C) using your Cochrane's Molecular Models. Consider the following questions while inspecting your model.

  1. How many five- and six-membered rings are there in the truncated icosahedron?
    Answer: twelve 5's and twenty 6's.

  2. Are the five-membered rings isolated or contiguous?
    Answer: isolated.
    How about the six-membered rings?
    Answer: contiguous.

  3. How many different kinds of vertices are there?
    Answer: one.

  4. How many different kinds of edges are there?
    Answer: two, those that lie between two six-membered rings and those that lie between one six- and one five-membered ring.

  5. How many of each kind of edge are there?
    Answer: 30 of the 6-6 variety and 60 of the 6-5 type.

  6. Given that the average edge is approximately 1.4 Å long, estimate the size of the cavity (diameter and volume).
    Answer: Diameter is ~ 7 Å and volume is ~ 180 Å3.

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