Consider the molecule chloroform (CHCl3): Almost anything can be used to construct matrix representatives! Use just the three Cl atoms as basis set members to derive its characters for the reducible representation and find out to which irreducible representations it can be reduced.

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4. Consider the molecule chloroform (CHCl3):
Almost anything can be used to construct matrix representatives! Use just the
three Cl atoms as basis set members to derive its characters for the reducible
representation and find out to which irreducible representations it can be reduced.

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Solution

Point group of CHCL3 is C3V. The character table of C3v pasted below.

E 2C3 (z) v linear,
rotations
quadratic
A1 1 1 1 z x2+y2, z2
A2 1 1 -1 Rz  
E 2 -1 0 (x, y) (Rx, Ry) (x2-y2, xy) (xz, yz)
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