Effective mass is the mass of election while it's velocity is relative to speed of light
larger effective mass represents a smaller velocity and vice versa
this explains higher effective mass for electrons facing larger scatering numbers of course a smaller effective mass for a less scattering points, scatering points could be defects, impurities, boundaries, ----
The relaxation time is controlled by the inelastic collisions, which means that the large linear momentum associated the heavy effective mass for a given kinetics energy (E=h2k2/2me) requires much greater numbers of collisions to transfer its kinetic energy to the targeted point and even line defects in the bulk matrix. That means heavy electron has to travel much longer distance due to multiple collision, which is also determined by the concentration of the defect centers inversely. In the case of electron -phonon interactions problem might be more complicated, but follows up the similar trend. Where h is h-bar.
In deformation-potential acoustic phonon -electron scattering the relaxation time is proportional to (density-of-states effective mass)^-1.5. if the carrie.r distribution is fixed
I have found effective mass using that equation only. I would like to know some physical details... the significance of m* during carrier transport through semi conductor.
Calculated relaxation time using conductivity, and plasmon energy.
According to Einstein and Nerst the definition of mobility of a particle moving in a viscous media without acceleration any is velocity/force. By simple dimensional analysis it shows that ''as Vesselin claimed'', mobility mhu= F/V, which has the dimension of [time/mass], which means his equation is correct with a missing steric factor.
SEE: Kittel Page 230-231; Mhu= e THo/Mass (in Electrostatic FİELD)