00:26 Group operations
10:03 Reducible representation for sigma orbitals
12:02 Reduction of reducible representation
19:58 Effect of each symmetry operation on representative orbital
29:30 The A1 irreducible sigma orbital
31:19 The (three) T2 irreducible simga orbitals
36:02 Accounting for orbital degeneracy
43:59 Visualization of group orbitals
46:03 Full visualization of complete molecular orbitals

Derivation of the sigma molecular orbitals of methane (CH₄) and "methane-like" ions - borohydride (BH₄⁻) and ammonium (NH₄⁺) - using the projection operator method.

It is a good idea to print out a copy of the character table for the group Td (or to find a copy online) before beginning the video. It is also helpful to pause the video as necessary.

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