\[\lambda=v_F\tau\]
Variables
lambdamean free path (m)
vFFermi velocity (m/s)
taurelaxation time (s)
Description
What is this formula?
This formula calculates the mean free path of charge carriers from the Fermi velocity and relaxation time.
When to use it
Use it when studying electron transport in conductive materials where scattering processes and carrier relaxation are important.
Example
Data:
vF = 1.57e6 m/s
tau = 2.5e-14 s
Formula:
lambda = vF*tau
Substitution:
lambda = (1.57e6)*(2.5e-14)
Result:
lambda = 3.93e-8 m
Applications
Electron transport analysis, semiconductor physics, conductive materials, nanotechnology, and solid-state physics.