Calculation of Brownian motion by Einstein formula

LaTex

Keyword

Brownian motion,Einstein formula,Boltzmann constant,Absolute Temperature,Time interval,Viscosity of liquid,Radius of the spherical particles

Reference

[1]：Graham Woan著・堤正義訳：『ケンブリッジ物理公式ハンドブック』,共立出版,p.111,2007.
[2]：Virtual Office Hours, Chemistry & Biochemistry, UCLA ：『Brownian Motion』
[3]：W.Gerhard Pohl：『The theory of Brownian motion-one hundred years old』

Remarks

・『Δx is the displacement of the particle along the x axis in time interval τ』Reference[2]：x.
・『(Δx)^2 is the average of (Δx)^2 over many measurements』Reference[2]：＜x^2＞
・Boltzmann constant：kB
・Absolute Temperature：T
・Time interval：t
・Viscosity of liquid：η
・Radius of the spherical particles：a
・Making Equation Image is powered by CODECOGS

History

・2010/12/05：Upload