|
|
| Line 1: |
Line 1: |
| The '''Bjerrum length''' (after Danish chemist [[Niels Bjerrum]] 1879–1958
| | Careers Counsellor Anton Lester from Timmins, usually spends time with pastimes for instance listening to music, property developers in singapore and hot rods. Has signed up for a global contiki journey. Is extremely excited in particular about visiting Works of Antoni Gaudí.<br><br>Feel free to surf to my page [http://www.englishandtranslationsinaction.com/?q=node/20 englishandtranslationsinaction.com] |
| <ref>http://www.rsc.org/delivery/_ArticleLinking/DisplayArticleForFree.cfm?doi=TF959550X001&JournalCode=TF</ref>)
| |
| is the separation at which the [[electrostatic]] interaction between two
| |
| [[elementary charge]]s is comparable in magnitude to the thermal energy scale,
| |
| <math>k_B T</math>, where <math>k_B</math> is the [[Boltzmann constant]] and <math>T</math> is the
| |
| [[absolute temperature]] in [[Kelvin]]. This length scale arises naturally in discussions of electrostatic,
| |
| electrodynamic and electrokinetic phenomena in [[electrolyte]]s, [[polyelectrolyte]]s and [[DLVO theory|colloidal dispersions]].
| |
| <ref>{{cite book | last1=Russel | first1=William B. | first2=D. A. | last2=Saville | first3=William R. | last3=Schowalter |
| |
| title=Colloidal Dispersions | publisher=Cambridge University Press | location=New York | year=1989}}</ref>
| |
| | |
| In [[SI units|standard units]], the Bjerrum length is given by
| |
| | |
| <math>\lambda_B = \frac{e^2}{4\pi \varepsilon_0 \varepsilon_r \ k_B T},</math> | |
| | |
| where <math>e</math> is the [[elementary charge]], <math>\varepsilon_r</math> is the relative [[dielectric constant]] of the medium
| |
| and <math>\varepsilon_0</math> is the [[vacuum permittivity]].
| |
| For water at
| |
| room temperature (<math>T = 300 \mbox{ K}</math>), <math>\varepsilon_r \approx 80</math>, so that
| |
| <math>\lambda_B \approx 0.7 \mbox{nm}</math>.
| |
| | |
| In [[Gaussian units]], <math>4\pi\varepsilon_0 = 1</math> and the Bjerrum length has the simpler form
| |
| | |
| <math>\lambda_B = \frac{e^2}{\varepsilon_r k_B T}.</math>
| |
| | |
| ==References==
| |
| {{Reflist}}
| |
| | |
| [[Category:Physical chemistry]]
| |
Careers Counsellor Anton Lester from Timmins, usually spends time with pastimes for instance listening to music, property developers in singapore and hot rods. Has signed up for a global contiki journey. Is extremely excited in particular about visiting Works of Antoni Gaudí.
Feel free to surf to my page englishandtranslationsinaction.com