HIGHLIGHTS • Metallic cobalt selenide quantum dots encapsulated in mesoporous carbon matrix were prepared via a direct hydrothermal method. • The cobalt selenide/carbon composite (Co 0.85 Se-QDs/C) possesses tertiary hierarchical structure, which is the primary quantum dots, the secondary petals flake, and the tertiary hollow micropolyhedron framework. • Benefiting from this tertiary hierarchical structure, the Co 0.85 Se-QDs/C electrode as potassium-ion batteries anode shows an outstanding K-storage performance.
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