The velocity of the silicon electrons at room temperature for an electric field of 1 kV/cm is approximately 1.4 x 10 cm/s. Consider effective mass of electron is 0.26 times the rest mass and the free electron rest mass as 9.1×10³1 Kg. 1) Calculate the mobility of electrons. 2) Calculate the relaxation time (average time of particle collisions in semiconductor) of electrons. 3) Calculate the diffusion coefficient. 4) Will the mobility increase or decrease if the electric field increases? 5) Will the relaxation time increase or decrease if the electric field increases? 6) Will the diffusion coefficient increase or decrease if the electric field increases?

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The velocity of the silicon electrons at room temperature for an electric field of 1 kV/cm is
approximately 1.4 x 10 cm/s. Consider effective mass of electron is 0.26 times the rest mass and the
free electron rest mass as 9.1×10¹³¹ Kg.
1) Calculate the mobility of electrons.
2) Calculate the relaxation time (average time of particle collisions in semiconductor) of electrons.
3) Calculate the diffusion coefficient.
4) Will the mobility increase or decrease if the electric field increases?
5) Will the relaxation time increase or decrease if the electric field increases?
6) Will the diffusion coefficient increase or decrease if the electric field increases?
Transcribed Image Text:The velocity of the silicon electrons at room temperature for an electric field of 1 kV/cm is approximately 1.4 x 10 cm/s. Consider effective mass of electron is 0.26 times the rest mass and the free electron rest mass as 9.1×10¹³¹ Kg. 1) Calculate the mobility of electrons. 2) Calculate the relaxation time (average time of particle collisions in semiconductor) of electrons. 3) Calculate the diffusion coefficient. 4) Will the mobility increase or decrease if the electric field increases? 5) Will the relaxation time increase or decrease if the electric field increases? 6) Will the diffusion coefficient increase or decrease if the electric field increases?
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The formal definition of mobility is the value of the drift velocity per unit of electric field strength, hence the greater the particle's mobility, the quicker it travels at a given electric field intensity. Temperature may have an impact on a particle's mobility inside a specific solid. The time elapsed between two subsequent electron collisions in a conductor when current is flowing through it is known as the relaxation time. The diffusion coefficient regulates the velocity of this mass transfer process known as mixing. As a result, one of the most crucial factors in accurately characterising solvent-based recovery procedures is the diffusion coefficient.

 

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