Show that the eigenstates of (1.11.7) are those given in (1.11.8). To do this, you will need to first find the eigenvectors of (1.11.7) in terms of the eight sp³ states, then use (1.11.3) to write these in terms of the original atomic states. Finally, show that the degenerate eigenstates involving p-orbitals can be written as linear combinations of the states given in (1.11.8).

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V1 = ½ (Ps + Þx + Øy+Þz) [111] [[[1] (²0-^o- *o + $0) } = ² S X V3 = ½ (Qs − Ox + Þy − Þz) - [111] V4 = 1/2 (0s x y + ₂). [111]. - · − S (1.11.3)