Bromine pentafluoride, BrF5, has a square pyramidal geometry and belongs to the C4v point group. A character table is shown below:
A. Draw a 3D formula for BrF5 and identify and illustrate all symmetry elements associated with the molecule.
B. What is the order of the C4v group?
C. Determine which irreducible representations each of the following atomic orbitals of the central atom, Br belong to:
(a) s
(b) px and py
(c) pz
(d) dz2
(e) dxy
(f) dxz and dyz
(g) dx2-y2