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    Elucidating Curvature-Capacitance Relationships in Carbon-Based Supercapacitors

    Jannes Seebeck

    Céline Merlet

    Robert H. Meißner*

    • Institute of Polymers and Composites, Hamburg University of Technology, 21073 Hamburg, Germany

    • CIRIMAT, Université de Toulouse, CNRS, Université Toulouse 3 - Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse cedex 9 - France and Réseau sur le Stockage Electrochimique de l’Energie (RS2E), Fédération de Recherche CNRS 3459, HUB de l’Energie, Rue Baudelocque, 80039 Amiens, France

    • Institute of Polymers and Composites, Hamburg University of Technology, 21073 Hamburg, Germany and Helmholtz-Zentrum Hereon, Institute of Surface Science, 21502 Geesthacht, Germany

    • *robert.meissner@tuhh.de

    Phys. Rev. Lett. 128, 086001 – Published 24 February, 2022

    DOI: https://doi.org/10.1103/PhysRevLett.128.086001

    Abstract

    Nanoscale surface curvatures, either convex or concave, strongly influence the charging behavior of supercapacitors. Rationalizing individual influences of electrode atoms to the capacitance is possible by interpreting distinct elements of the charge-charge covariance matrix derived from individual charge variations of the electrode atoms. An ionic liquid solvated in acetonitrile and confined between two electrodes, each consisting of three undulated graphene layers, serves as a demonstrator to illustrate pronounced and nontrivial features of the capacitance with respect to the electrode curvature. In addition, the applied voltage determines whether a convex or concave surface contributes to increased capacitance. While at lower voltages capacitance variations are in general correlated with ion number density variations in the double layer formed in the concave region of the electrode, for certain electrode designs a surprisingly strong contribution of the convex part to the differential capacitance is found both at higher and lower voltages.

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