Abundant and low-cost carbon-based materials hold considerable value for sustainable energy applications, particularly as catalysts for the hydrogen evolution (HER) and oxygen evolution (OER) reactions essential to water splitting. However, their catalytic performance is limited by the strong sp2-hybridized planarity and restricted p orbital distribution, resulting in insufficient active sites and weaker adsorbate binding as compared to transition metal catalysts. To address this challenge, we systematically screened a range of two-dimensional carbon allotropes by introducing Stone-Wales transformations and carbon defect engineering, yielding pentaheptite with 5-, 6-, and 7-membered rings (Haeckelite H567 and R57, Phagraphene and psi-graphene) and pentahexoctite with 5-, 6-, and 8-membered rings (α-, β-, δ-Phographene (PhoG)). These topologies harness local ring distortions to modify the sp2 network, thereby enabling a partial sp3-like character and more robust pz orbital overlap. This modification increased the availability of active sites and fostered stronger adsorbate interactions. Specifically, β-PhoG and δ-PhoG significantly enhanced both HER and OER activities, with the C558 site in β-PhoG emerging as the most efficient catalyst. This 5–5–8 defect site exhibited heightened nonplanarity that promoted partial sp3 hybridization and fostered robust pz orbital contributions, thereby boosting local asymmetry and enhancing adsorbate binding. Catalytic performance was further improved by introducing curvature effects that lowered the overpotentials for the HER (0.06 V) and OER (0.32 V) at C558@β-PhoG sites. These findings highlight the transformative potential of nonplanar carbon allotropes for overcoming the inherent limitations of sp2-hybridized materials, paving the way for more efficient and sustainable catalysts in energy applications.
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