Endpoint energies, endpoint phase patterns and a conserved symmetry fix the qualitative connectivity. Each initial orbital must end in the appropriate product symmetry block, and the ordering within a generic block is preserved by avoided crossings. The two singleton blocks and have unique partners. No numerical calculation at each intermediate separation is required to draw those connections.
This conclusion is limited to a correlation diagram: it does not determine intermediate orbital energies, interaction strengths, the location or height of a reaction energy barrier, or the lowest route on a multidimensional potential energy surface. If the reaction breaks the assumed symmetry, previously distinct symmetry blocks can mix and the diagram must be reconsidered.

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