Show, if overlap is ignored, (a) that if a molecular orbital is expressed as a linear combination of two atomic orbitals in the form ψ = ψA cos θ + ψB sin θ, where θ is a parameter that varies between 0 and π, with ψA and ψB are orthogonal and normalized to 1, then ψ is also normalized to 1. (b) To what values of θ do the bonding and antibonding orbitals in a homonuclear diatomic molecule correspond?
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