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thermal equilibrium
no external forces or excitation sources
time
what is thermal equilibrium independent of?
no=Nd
At thermal equilibrium, when an extrinsic semiconductor is only doped with donors…
po=Na
At thermal equilibrium, when an extrinsic semiconductor is only doped with acceptors…
nopo=ni²
At thermal equilibrium, the mass action law states that…
non-thermal equilibrium
when a semiconductor is under the influence of external forces or excitation sources
external forces/excitation sources
voltages sources, electric fields, magnetic fields, temperature gradients, radiations
does not apply
Under thermal non-equilibrium, the mass action law…
concentration under thermal equilibrium and excess concentration values
Under non-thermal equilibrium, the concentration of carriers is the sum of…
generation and injection
Under what processes are excess carriers the result of?
Low Level Injection
when the concentration of excess minority carriers in smaller than the majority carrier concentration
generation
creation of mobile charge carriers (electrons and holes)
thermal generation
some electrons in the valence band gain enough thermal energy to break free from their parent atoms, creating electron-hole pairs
bandgap energy and temperature
what is thermal generation dependent on?
optical generation
absorbs photons with energy greater than bandgap, enabling an electron to move to the conduction band and leaving a hole in the valence band, creating electron-hole pairs
recombination
removal or elimination of excess minority carriers by the process where mobile carriers (such as electrons and holes) combine and neutralize each other leading to a decrease in the number of free carriers
recombination
electron from conduction band falls into an energy state occupied by a hole in the valence band, eliminaitng both
excess minority carriers are surrounded by majority carriers
Recombination occurs when…
lifetime of minority carriers
average time it takes for excess minority carriers to recombine
impurities, temperature, defects
what factors influence minority carrier lifetimes?
position and time
recombination is a funciton of…
position
When excess carriers are created nonuniformly in a semiconductor, the electron and hole concentrations vary with…
net motion of the carriers
variation in concentration with position leads to a…
from areas of high concentration to low concentration
How do carriers move due to nonuniformity?
diffusion
What motion of carriers causes current?
continuity equation
what equation is used to determine the concentration of minority carriers?
continuity equation
describes the change in minority carrier concentration at a particular position with respect to time is equal to the difference between incoming and outgoing flux of minority carriers due to current flow plus the amount of carriers created by generation and minus the amount of carriers that are removed due to recombination