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The structure type and shape of the polyhedral (skeletal) framework of the carborane, Me2C2B10H10, respectively, are

  • A.nido and dodecahedron
  • B.closo and icosahedron
  • C.nido and icosahedron
  • D.closo and dodecahedron

Answer: B

The carborane is closo with an icosahedral framework.

Count the skeletal electron pairs with Wade's rules. Each B-H vertex contributes 2 skeletal electrons and each C-R vertex 3. For Me2C2B10H10, with 12 vertices:

\[ \begin{aligned} 10 \times 2 + 2 \times 3 &= 26\ \text{electrons} \\ &= 13\ \text{pairs} = n + 1 \end{aligned} \]

n + 1 pairs for n vertices is the closo count, a closed polyhedron with every vertex occupied, and the closed 12-vertex deltahedron is the icosahedron. This is the dimethyl derivative of the well-known icosahedral carborane C2B10H12.

A nido cluster would need n + 2 pairs. The dodecahedron (the 8-vertex deltahedron) is the closo shape for eight vertices, not twelve.

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