1 (a) Consider the orbitals of the fluorine atoms in BF3 (D3h point group) as shown in the diagram
below. The principal axis of rotation is the z-axis. The y-axis points along the molecular bonds,
with the x axis perpendicular to the y-axis.
Z
F
y
F
B
2Py
X
2px
F
y
2s
y
X
X
2pz
Find the reducible representations for each the fluorine atom orbitals of BF3, namely 2s, 2px, 2py and
2pz as shown in the diagram above.
(22)