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Debye Length Calculator — result sheet
Estimate the electrostatic screening length of a dilute electrolyte from temperature, relative permittivity, and ionic strength.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Debye length λD = √(ε₀εr kBT/(2NAe²I)).
The result estimates the distance over which electrostatic interactions are screened in a dilute, symmetric-electrolyte model.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Temperature — K; minimum 1.0E-6; maximum 1000000
- Relative permittivity — minimum 1.0E-6; maximum 1000000
- Ionic strength — mol/m³; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Temperature | 298.15 |
| Relative permittivity | 78.5 |
| Ionic strength | 100 |
Debye length is approximately 0.97 nm.
Assumptions and limits
- Temperature, relative permittivity, and ionic strength are positive SI-compatible inputs; ionic strength is entered in mol/m³.
- The medium is dilute and the ions are represented by the linearized Debye-Hückel approximation.
- Ion-size effects, high-concentration activity coefficients, specific adsorption, and nonideal solvent behavior are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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