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Supercapacitor Helmholtz & Diffuse Layer Capacitance (Gouy-Chapman-Stern) Calculator

Easily calculate and compute supercapacitor helmholtz & diffuse layer capacitance (gouy-chapman-stern) calculator with accurate equations, live formulas, and expert guidance.

Solvated ion radius ~0.3 to 0.6 nm.

Water ε_r ≈ 78; organic acetonitrile solvent ≈ 37; ionic liquid ≈ 10-30.

High-surface activated carbon ~1500 to 2200 m²/g.

Calculated Result
1,195 F/g

Specific Capacitance

Specific Capacitance

1,195 F/g

Gravimetric Capacitance Farads Per G

1195

Areal Capacitance Micro Farads Per Cm2

66.4

Areal Capacitance Farads Per M2

0.66

Storage Mechanism

Pure electrostatic non-Faradaic electrical double-layer capacitance (EDLC); million-cycle lifespan

1,195 — F/g

Calculation Breakdown

  1. Applied FormulaModels the electrical double-layer capacitance (EDLC) and gravimetric energy storage capacity (F/g) of activated carbon supercapacitors using the Stern-Helmholtz formulation.C_H = \frac{\varepsilon_0 \varepsilon_r}{x_H}, \quad C_{\text{sp}} = C_H \cdot \text{SSA}

Supercapacitor Double Layer Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02995988961.2kSpecific Capacitance

What Is the Supercapacitor Helmholtz & Diffuse Layer Capacitance (Gouy-Chapman-Stern) Calculator?

This tool computes supercapacitor helmholtz & diffuse layer capacitance (gouy-chapman-stern) calculator with high precision arithmetic.

How Does the Supercapacitor Helmholtz & Diffuse Layer Capacitance (Gouy-Chapman-Stern) Calculator Work?

Models the electrical double-layer capacitance (EDLC) and gravimetric energy storage capacity (F/g) of activated carbon supercapacitors using the Stern-Helmholtz formulation.

Supercapacitor Helmholtz & Diffuse Layer Capacitance (Gouy-Chapman-Stern) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

CH=ε0εrxH,Csp=CH⋅SSAC_H = \frac{\varepsilon_0 \varepsilon_r}{x_H}, \quad C_{\text{sp}} = C_H \cdot \text{SSA}

Models the electrical double-layer capacitance (EDLC) and gravimetric energy storage capacity (F/g) of activated carbon supercapacitors using the Stern-Helmholtz formulation.

How to Use the Supercapacitor Helmholtz & Diffuse Layer Capacitance (Gouy-Chapman-Stern) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Supercapacitor Helmholtz & Diffuse Layer Capacitance (Gouy-Chapman-Stern) Calculator Example

Input Values:

helmholtzLayerThicknessNm:0.4
electrolyteRelativePermittivity:30
electrodeSpecificSurfaceAreaM2PerG:1800
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required F/g.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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