Predict the number of vertices and faces in the closo–borane B6H62−.
A
6 vertices; 8 faces
B
8 vertices; 6 faces
C
8 vertices; 12 faces
D
12 vertices; 6 faces
E
6 vertices; 12 faces
Verified step by step guidance
1
Understand the structure of closo-boranes: Closo-boranes are a type of boron hydride with a closed polyhedral structure. The formula for a closo-borane is BₙHₙ²⁻, where n is the number of boron atoms.
Identify the number of boron atoms: In B₆H₆²⁻, there are 6 boron atoms. This indicates that the structure is based on a polyhedron with 6 vertices.
Determine the type of polyhedron: A closo-borane with 6 vertices typically forms an octahedral structure. An octahedron is a polyhedron with 8 faces.
Count the vertices and faces: Since the structure is octahedral, it has 6 vertices and 8 faces.
Verify the options: Compare the calculated vertices and faces (6 vertices and 8 faces) with the given options to ensure the correct match.