Group Theory for Chemists, 2nd Edition

APPENDIX 4

Answers to Problems

Chapter 1

1. NH₃: C₃ (passing through N and the mid-point of the H₃ triangle), three σ_v (each containing one N-H bond).

    AsH₅: C₃ and S₃ coincident (along the axial H-As-H unit), three C₂ (along each equatorial As-H bond), σ_h (containing the equatorial AsH₃ unit), three σ_v (each containing the axial H-As-H unit and one equatorial As-H bond).

    cyclo-B₃N₃H₆: C₃, S₃ coincident (perpendicular to the molecular plane and passing through the mid-point of the ring), three C₂ (containing pairs of B, N atoms on opposite sides of the ring), σ_h (molecular plane), three σ_v (perpendicular to the molecular plane and each containing a pair of B,N atoms).

    B(H)(F)(Br): the molecule is trigonal planar and only has a ...