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Electron Mobility




In Physics , electron mobility (or simply, '''mobility'''), is used to describe the relation between Drift Velocity of Electron s or Hole s in a solid material or electrons/ Ions in a gas, and an applied Electric Field . The drift velocity is directly related to the electric field as follows,

:v_d = \mu E,

where μ is the mobility.

In Metric units, mobility is normally measured in Cm 2/( V · S ). Since mobility is a strong function of impurities as well as temperature, it is difficult to provide any values of mobility here for common materials. Mobility is also different for electrons and holes in a Semiconductor . When one charge carrier is dominant the Conductivity of a semiconductor is directly proportional to the mobility of the dominant carrier.

Typical electron mobility for GaAs at room temperature (300K) is 9200 cm2/(V·s).

In approximation the mobility can be written as a combination of influences from lattice vibrations ( Phonon s) and from impurities by the following equation (Matthiessen's Rule):

:\mu = rac{1}{ rac{1}{\mu_{ m lattice}}+ rac{1}{\mu_{ m impurities}}}.

Mobility in gas phase

Mobility is defined for any species in the gas phase, encountered mostly in Plasma physics and is defined as :

\mu = rac{q}{m
u_m}D where,

q - charge of the species,


u_m - momentum transfer collision frequency,

m - mass,

Mobility is related to the species diffusion coefficient through an equation known as the '' Einstein Relation '':

\mu = rac{q}{kT}D

where,

D = rac{\pi}{8}\lambda^2
u_m is Diffusion constant,

\lambda is the mean free path,

k - Boltzmann constant

T - Species temperature


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