Bjerrum length

The Bjerrum length $(l_{B})$ is the distance for which the electrostatic potential energy between two charges, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e} , is equal to the thermal energy scale Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k_BT} . Using Coulomb's law, one sets

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k_BT = \frac{e^2}{4\pi\varepsilon_0 \varepsilon_r} \frac{1}{|\mathbf{r}_1 - \mathbf{r}_2|}}

leading to

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle l_B = \frac{e^2}{4\pi\varepsilon_0 \varepsilon_r k_BT} }

See also

• Debye length