The np product and the intrinsic carrier concentration n = Ne -(Ec-Eƒ)/kT p = N,e -(Eƒ-E,)/kT np = N Ne¯ -(E-E,)/kT = N₂N₁e -Eg/kT 2 - np = n; ni = [N¸N‚e¯ -Eg/2kT In an intrinsic (undoped) semiconductor, n = p = n; n, is the intrinsic carrier concentration ≈2 n; 1010 cm³ for Si at room temperature Intrinsic electron and hole concentration versus temperature in common semiconductors 1016 n = Ne˜¯ -(E-Ef)/kT 1015 Ge p = N₁e (E-E₁)/kT Intrinsic carrier concentration (cm³) 1014 1013 1012 GaAs 1011 1010 109 108 107 106 105 200 300 400 500 600 700 T(K) Intrinsic charge carrier concentration 1. Calculate intrinsic carrier concentration for Si, Ge and GaAs at temperatures -20°C, 20°C (room temperature) and 120°C. 2. Compare the obtained data with n and p shown on previous slide 25.

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Answer these two questions on the end of the image, please 

 

1.Calculate intrinsic carrier concentration for Si, Ge and GaAs at temperatures -20°C, 20°C (room temperature) and 120°C

 

 

2.Compare the obtained data with n and p shown on previous slide 25

The np product and the intrinsic carrier concentration
n = Ne
-(Ec-Eƒ)/kT
p = N,e
-(Eƒ-E,)/kT
np = N Ne¯ -(E-E,)/kT
= N₂N₁e
-Eg/kT
2
-
np = n;
ni
=
[N¸N‚e¯
-Eg/2kT
In an intrinsic (undoped) semiconductor, n = p = n;
n, is the intrinsic carrier concentration
≈2
n; 1010 cm³ for Si at room temperature
Intrinsic electron and hole concentration versus
temperature in common semiconductors
1016
n = Ne˜¯
-(E-Ef)/kT
1015
Ge
p = N₁e (E-E₁)/kT
Intrinsic carrier concentration (cm³)
1014
1013
1012
GaAs
1011
1010
109
108
107
106
105
200
300
400
500
600
700
T(K)
Intrinsic charge carrier concentration
1. Calculate intrinsic carrier concentration for Si, Ge and GaAs at
temperatures -20°C, 20°C (room temperature) and 120°C.
2. Compare the obtained data with n and p shown on previous slide 25.
Transcribed Image Text:The np product and the intrinsic carrier concentration n = Ne -(Ec-Eƒ)/kT p = N,e -(Eƒ-E,)/kT np = N Ne¯ -(E-E,)/kT = N₂N₁e -Eg/kT 2 - np = n; ni = [N¸N‚e¯ -Eg/2kT In an intrinsic (undoped) semiconductor, n = p = n; n, is the intrinsic carrier concentration ≈2 n; 1010 cm³ for Si at room temperature Intrinsic electron and hole concentration versus temperature in common semiconductors 1016 n = Ne˜¯ -(E-Ef)/kT 1015 Ge p = N₁e (E-E₁)/kT Intrinsic carrier concentration (cm³) 1014 1013 1012 GaAs 1011 1010 109 108 107 106 105 200 300 400 500 600 700 T(K) Intrinsic charge carrier concentration 1. Calculate intrinsic carrier concentration for Si, Ge and GaAs at temperatures -20°C, 20°C (room temperature) and 120°C. 2. Compare the obtained data with n and p shown on previous slide 25.
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