How does the Fermi level move when it is doped with:
a) Phosphorous
b) Boron
c) Can the Fermi level be pushed into conduction band? If yes, explain why?
Answers
☘️AnSweR:-
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.
The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.
Electrons and holes are both fermion particles ( with half values of the spins) and both of them obey the Fermi-Dirac statistics which becomes asymptotically the Boltzman statistics in dilute systems (with few electrons and or holes) or nondegenerate systems.
The position of the Fermi level with respect to valence and or conduction bands depends on various parameters as the temperature, the effective masses of electrons and holes, and the number of free electrons and holes.
This variation of the Fermi level obeys two condictions :
- the ''mass action law'' which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.
2. In an intrinsic semiconductor (with no doping at all), the Fermi level is lying exactly at the middle of the energy bandgap at T=0 Kelvin.
With increasing temperature T>0 Kelvin the Fermi energy remains at this midgap position if conduction and valence bands have exactly the same dispersion energy or more simply the same effective masses for electrons and holes.
3. In an extrinsic semiconductor (with added doping), in order to conserve the number of particles (mass action law) and to fulfill the overall electrical charge neutrality (neutrality equation), the Fermi level has to move away from the midgap position.
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Answer:
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.Electrons and holes are both fermion particles (with half values of the spins) and both of them obey the Fermi-Dirac statistics which becomes asymptotically the Boltzman statistics in dilute systems (with few electrons and or holes) or nondegenerate systems.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.Electrons and holes are both fermion particles (with half values of the spins) and both of them obey the Fermi-Dirac statistics which becomes asymptotically the Boltzman statistics in dilute systems (with few electrons and or holes) or nondegenerate systems.The position of the Fermi level with respect to valence and or conduction bands depends on various parameters as the temperature, the effective masses of electrons and holes, and the number of free electrons and holes.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.Electrons and holes are both fermion particles (with half values of the spins) and both of them obey the Fermi-Dirac statistics which becomes asymptotically the Boltzman statistics in dilute systems (with few electrons and or holes) or nondegenerate systems.The position of the Fermi level with respect to valence and or conduction bands depends on various parameters as the temperature, the effective masses of electrons and holes, and the number of free electrons and holes.This variation of the Fermi level obeys two condictions:
1. the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.
the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.2. In an intrinsic semiconductor (with no doping at all), the Fermi level is lying exactly at the middle of the energy bandgap at T=0 Kelvin.
the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.2. In an intrinsic semiconductor (with no doping at all), the Fermi level is lying exactly at the middle of the energy bandgap at T=0 Kelvin.With increasing temperature T>0 Kelvin the Fermi energy remains at this midgap position if conduction and valence bands have exactly the same dispersion energy or more simply the same effective masses for electrons and holes.
the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.2. In an intrinsic semiconductor (with no doping at all), the Fermi level is lying exactly at the middle of the energy bandgap at T=0 Kelvin.With increasing temperature T>0 Kelvin the Fermi energy remains at this midgap position if conduction and valence bands have exactly the same dispersion energy or more simply the same effective masses for electrons and holes.3. In an extrinsic semiconductor (with added doping), in order to conserve the number of particles (mass action law) and to fulfill the overall electrical charge neutrality (neutrality equation), the Fermi level has to move away from the midgap position.
Answer:
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.Electrons and holes are both fermion particles (with half values of the spins) and both of them obey the Fermi-Dirac statistics which becomes asymptotically the Boltzman statistics in dilute systems (with few electrons and or holes) or nondegenerate systems.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.Electrons and holes are both fermion particles (with half values of the spins) and both of them obey the Fermi-Dirac statistics which becomes asymptotically the Boltzman statistics in dilute systems (with few electrons and or holes) or nondegenerate systems.The position of the Fermi level with respect to valence and or conduction bands depends on various parameters as the temperature, the effective masses of electrons and holes, and the number of free electrons and holes.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.Electrons and holes are both fermion particles (with half values of the spins) and both of them obey the Fermi-Dirac statistics which becomes asymptotically the Boltzman statistics in dilute systems (with few electrons and or holes) or nondegenerate systems.The position of the Fermi level with respect to valence and or conduction bands depends on various parameters as the temperature, the effective masses of electrons and holes, and the number of free electrons and holes.This variation of the Fermi level obeys two condictions:
1. the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.
the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.2. In an intrinsic semiconductor (with no doping at all), the Fermi level is lying exactly at the middle of the energy bandgap at T=0 Kelvin.
the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.2. In an intrinsic semiconductor (with no doping at all), the Fermi level is lying exactly at the middle of the energy bandgap at T=0 Kelvin.With increasing temperature T>0 Kelvin the Fermi energy remains at this midgap position if conduction and valence bands have exactly the same dispersion energy or more simply the same effective masses for electrons and holes.
the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.2. In an intrinsic semiconductor (with no doping at all), the Fermi level is lying exactly at the middle of the energy bandgap at T=0 Kelvin.With increasing temperature T>0 Kelvin the Fermi energy remains at this midgap position if conduction and valence bands have exactly the same dispersion energy or more simply the same effective masses for electrons and holes.3. In an extrinsic semiconductor (with added doping), in order to conserve the number of particles (mass action law) and to fulfill the overall electrical charge neutrality (neutrality equation), the Fermi level has to move away from the midgap position.
Answer:
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.Electrons and holes are both fermion particles (with half values of the spins) and both of them obey the Fermi-Dirac statistics which becomes asymptotically the Boltzman statistics in dilute systems (with few electrons and or holes) or nondegenerate systems.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.Electrons and holes are both fermion particles (with half values of the spins) and both of them obey the Fermi-Dirac statistics which becomes asymptotically the Boltzman statistics in dilute systems (with few electrons and or holes) or nondegenerate systems.The position of the Fermi level with respect to valence and or conduction bands depends on various parameters as the temperature, the effective masses of electrons and holes, and the number of free electrons and holes.
The Fermi level is the energy separating occupied states (or levels) of the valence band from empty states (levels) of the conduction band at the absolute temperature T=0 Kelvin.The Fermi level is an energy level characteristic of the statistics (distribution law) which controls the occupation of any energy state by a given particle: an electron or a hole in semiconductors.Electrons and holes are both fermion particles (with half values of the spins) and both of them obey the Fermi-Dirac statistics which becomes asymptotically the Boltzman statistics in dilute systems (with few electrons and or holes) or nondegenerate systems.The position of the Fermi level with respect to valence and or conduction bands depends on various parameters as the temperature, the effective masses of electrons and holes, and the number of free electrons and holes.This variation of the Fermi level obeys two condictions:
1. the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.
the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.2. In an intrinsic semiconductor (with no doping at all), the Fermi level is lying exactly at the middle of the energy bandgap at T=0 Kelvin.
the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.2. In an intrinsic semiconductor (with no doping at all), the Fermi level is lying exactly at the middle of the energy bandgap at T=0 Kelvin.With increasing temperature T>0 Kelvin the Fermi energy remains at this midgap position if conduction and valence bands have exactly the same dispersion energy or more simply the same effective masses for electrons and holes.
the "mass action law" which states that the number of particles of each type as well as the overall number of the particles must conserve whatever is their distribution on the available energy levels.2. In an intrinsic semiconductor (with no doping at all), the Fermi level is lying exactly at the middle of the energy bandgap at T=0 Kelvin.With increasing temperature T>0 Kelvin the Fermi energy remains at this midgap position if conduction and valence bands have exactly the same dispersion energy or more simply the same effective masses for electrons and holes.3. In an extrinsic semiconductor (with added doping), in order to conserve the number of particles (mass action law) and to fulfill the overall electrical charge neutrality (neutrality equation), the Fermi level has to move away from the midgap position.