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Graphene Dirac-Cone Density of States & Quantum Capacitance (2D)

Interactive 2D simulator of a graphene supercapacitor electrode: a band-structure cross-section and density-of-states diagram compute quantum capacitance directly from the Dirac cone, combined in series with a tunable electrolyte double-layer capacitance, on a live capacitor-network schematic.

Energy & Thermodynamics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

This is the 2D-native counterpart to the 3D graphene supercapacitor electrode simulator. Rather than orbiting an instanced honeycomb lattice, it draws the two quantities that actually generate the physics: a cross-section through graphene's linear E(k) dispersion (the Dirac cone, sliced through k) with its Fermi sea shaded in, and the density of states g(E) that dispersion implies — the V-shaped curve that vanishes at the neutrality point and is the microscopic reason quantum capacitance C_Q is small there. A capacitor-network schematic then wires C_Q in series with a tunable electrolyte Helmholtz capacitance C_H, with each gap drawn proportional to 1/C so the smaller of the two visibly dominates the stack, exactly as the underlying formulas require.

⚙ Under the hood

See the equations that generate graphene's quantum capacitance directly: a live Dirac-cone band cross-section and density-of-states plot compute C_Q(V,T) from first principles, wired in series with a tunable electrolyte double-layer capacitance on a capacitor-network schematic where plate gaps are drawn proportional to 1/C.

graphenesupercapacitorquantum capacitancedensity of statesDirac coneenergy storage

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install