Charge, Bonding, and Optical Properties of the B${}_7$Ca${}_2$ Cluster: An Alkaline-Earth Dimer Stabilized by a Single Boron Ring

The charge, bonding, and optical properties of the calcium-doped boron cluster B${}_7$Ca${}_2$ have been systematically investigated using density functional theory calculations. Extensive global basin-hopping searches identify a single-ring B${}_7$ geometry stabilized by two calcium atoms symmetrically located on opposite sides of the boron ring as the global minimum. Electronic structure analysis reveals pronounced charge redistribution and strong Ca–B interactions that promote electron delocalization over the boron framework. Hirshfeld charge analysis indicates substantial electron donation from the electropositive calcium atoms to the electron-deficient B${}_7$ ring, leading to effective electronic stabilization without the involvement of transition-metal $d$ orbitals. Optical absorption spectra further reflect the delocalized nature of the frontier electronic states. Real-space bonding analyses based on the electron localization function (ELF), Interaction Region Indicator (IRI), and the Laplacian of the electron density reveal a multicenter bonding pattern dominated by electron delocalization within the boron ring, with calcium acting primarily as an electrostatic and charge-donating stabilizer rather than forming localized two-center Ca–B bonds. These results establish B${}_7$Ca${}_2$ as a prototypical example of an alkaline-earth-metal-stabilized boron ring and highlight the ability of non-transition metals to stabilize aromatic boron clusters through charge transfer and multicenter bonding.