# Mean Free Path of Electrons Calculator

The mean free paths for inelastic electron diffusing in Silicon have been measured using off-axis electron holography in a field-discharge transmission electron magnifying lens. In this calculator, you can obtain the mean free path in Silicon [Si] from the known atomic weight, valence electrons and density.

## Calculate the Mean Free Path of Electrons in Silicon

The mean free paths for inelastic electron diffusing in Silicon have been measured using off-axis electron holography in a field-discharge transmission electron magnifying lens. In this calculator, you can obtain the mean free path in Silicon [Si] from the known atomic weight, valence electrons and density.

Code to add this calci to your website

#### Formula:

U = VE * r_{o} / A_{w}
E_{p} = 829.4 * U
C1 = 53.4 - 20.8 * U
C2 = 1.97 - 0.91 * U
γ = 0.191 / r_{o}^{2}
β = -0.10 + 0.944 / (√( E_{p} + BG^{2} )) + (0.069 * r_{o}^{2} )
λ_{e} = 1000 / [ E_{p} (β × log(γ * 1000) - ( C2 / 1000 ) + (C1 / 1000^{2})) ]
**Where,**
λ_{e} = Mean Free Path in Silicon
A_{w} = Atomic Weight
VE = Valence Electrons
r_{o} = Density
BG = Bandgap
U = Mean
E_{p} = Energy
C1, C2 = Radius
β, γ = Radio Active Charges