Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in or
create an account, your edits will be attributed to your username, along with other benefits.
The edit can be undone.
Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.
| Latest revision |
Your text |
| Line 7: |
Line 7: |
| leading to | | leading to |
|
| |
|
| :<math>l_B = \frac{e^2}{4\pi\varepsilon_0 \varepsilon_r k_BT} \approx \frac{1.671 \times 10^{-5}}{\varepsilon_r T}</math> | | :<math>l_B = \frac{e^2}{4\pi\varepsilon_0 \varepsilon_r k_BT} </math> |
|
| |
|
| The charges could come in the form of monovalent ions in a solvent. Thus for distances greater than the Bjerrum length, where thermal fluctuations become stronger than electrostatic interactions, it becomes reasonable to introduce a continuum mean-field representation. For [[water]], whose relative permittivity is <math>\varepsilon_r \approx 78</math> at 298K <ref>[http://dx.doi.org/10.1063/1.555977 D. P. Fernández, Y. Mulev, A. R. H. Goodwin and J. M. H. Levelt Sengers "A Database for the Static Dielectric Constant of Water and Steam", Journal of Physical and Chemical Reference Data '''24''' pp. 33-69 (1995)]</ref> one arrives at a value of around <math>l_B \approx 0.72</math> nm.
| |
| ==See also== | | ==See also== |
| *[[Debye length]] | | *[[Debye length]] |