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AN2386 Datasheet(PDF) 9 Page - STMicroelectronics |
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AN2386 Datasheet(HTML) 9 Page - STMicroelectronics |
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9 / 30 page ![]() AN2386 MOS structure 9/30 where b1 is equal to 4.76 x 10-23J/K. Eg0 is equal to 1.21eV and it is the extrapolate value of the band-gap at 0°K while b1 is the rate of energy gap shift with temperature. Now, (Equation 9) can be rewritten as: Equation 13 Considering that for the silicon: Equation 14 and that: Equation 15 ni becomes: Equation 16 In the interface layer oxide-semiconductor, the electron and hole concentrations depend on the gate voltage and can be written as: Equation 17 Equation 18 When Φ s is equal to Φ F the semiconductor surface becomes intrinsic. Instead, increasing Φ s again, the layer becomes n-type. When ns equals to p0 a "strong inversion" occurs and the minority carriers at the surface become the same of the majority carriers in the bulk. The potential condition for the strong inversion occurs when: Equation 19 As explained above, when VG is applied on the MOS structure, VOX (a part of VG) will appear across the oxide and the rest on the silicon surface: Equation 20 n i 2 N cNVe E g0 b 1 T – kT ------------------------- N cNve b 1 k ----- e E g0 kT --------- = = N cNVe b 1 k ----- 3.88 10 16 • T 3 2 --- cm 3 – [] = E g0 k --------- 14047 K [] = n i 3.88 10 16 • T 3 2 --- e E g0 2kT ---------- – 3.88 10 16 – • T 3 2 --- e 7023 T ------------- – cm 3 – [] = = n s n 0e E is E i – kT ------------------ – n 0e q Φ s kT ------- • = = n s n 0e E is E i – kT ------------------ – n 0e q Φ s kT ------- • = = Φ s 2 Φ F = V G V OX Φ s – = |
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