Time-dependent density functional theory investigation of the formation of H$^{3+}$ from alkanes

The formation of H$^{3+}$ from ethane, propane, and butane dications was investigated with time-dependent density-functional theory (TDDFT) simulations. This approach offers the benefit of simultaneously addressing nuclear and electronic dynamics, enabling the investigation of electronic excitation, charge transfer, ionization, and nuclear motion. For each dication we determined the ground-state HOMO, the branching ratios of all dissociation channels, and the mechanism leading to H$^{3+}$. The simulated branching ratios for ethane and propane are similar, while butane is markedly lower. Ethane follows the minimum-energy pathway (MEP) proposed previously; propane forms H$^{3+}$ mainly via H$_2$ roaming. In butane, H$^{3+}$ appears only through the MEP within the present trajectory set; roaming H$_2$ was not observed under the same conditions.