Diabatic Valence-Hole States in the C2 Molecule: “Putting Humpty Dumpty Together Again”
Despite the long history of spectroscopic studies of the C$$_2$$ molecule, fundamental questions about its chemical bonding are still being hotly debated. The complex electronic structure of C$$_2$$ is a consequence of its dense manifold of near-degenerate, low-lying electronic states. A global multi-state diabatic model is proposed here to disentangle the numerous configuration interactions within four symmetry manifolds of C$$_2$$ ($$^{1}\Pi_g$$, $$^{3}\Pi_g$$, $$^{1}\Sigma_u^+$$, and $$^{3}\Sigma_u^+$$). The key concept of our model is the existence of two "valence-hole" configurations, $$2\sigma_g^22\sigma_u^11\pi_{u}^33\sigma_g^2$$ for $$^{1,3}\Pi_g$$ states and $$2\sigma_g^22\sigma_u^11\pi_{u}^43\sigma_g^1$$ for $$^{1,3}\Sigma_u^+$$ states that derive from $$3\sigma_g\leftarrow2\sigma_u$$ electron promotion. The lowest-energy state from each of themore »