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Debye Length

Represents the characteristic distance over which electrostatic potential varies significantly, influencing ion transport in electrolytes. \(\lambda = \sqrt{ rac{\\\epsilon\alpha}{2\\\epsilon_F^2}}
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The statement of the theorem

Define the characteristic distance λ\lambda over which the electrostatic potential varies significantly in an electrolyte solution. Given the permittivity of the solvent ϵ\epsilon, the relative permittivity α\alpha, and the permittivity of free space ϵF\epsilon_F, the Debye length is mathematically defined as:\nλ=ϵα2ϵF2with units of length (m). \lambda = \sqrt{\frac{\epsilon\alpha}{2\epsilon_F^2}} \quad \text{with units of length (m).}
Source: Wikipedia