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CAPACITANCE ESTIMATION
Area capacitances of layers Standard unit of capacitance □Cg Some area capacitance calculations
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Area capacitances of layers
There are many layers and thus forms parallel plat capacitance effect Dielectric thickness , we can calculate area capacitance as follows: C=εo ε ins A farads D D= thickness of the dioxide in cm A = area of the plate in cm2 εo = permittivity of free space-8.854x10-14f/cm ε ins = relative permitivity of sio2=4.0
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Typical values of area capacitance are set out in table for 5µm technology
Value in pF*10-4/µm2(relative values in brackets) Gate to channel 4 (1.0) Diffusion 1 (.25) Poly to sub 0.4 (.1) M1 to sub 0.3 (0.075) M2 to sub 0.2 (0.05) M2 to M1 0.4 (0.1) M2 to poly 0.3 (0.075) Relative value = specified value / gate to channel value for that technology
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Standard unit of capacitance □Cg
The unit □Cg is defined as gate-to-channel capacitance of a MOS transistor having W=L=feature size □Cg was evaluated for any MOS, for example 5µm MOS circuits: Area/standard square = 5µm X 5µm = ? Capacitance value (from table) = 4 X 10-4 pF/µm2 Thus , standard value □Cg = 25µm2 X 4 X 10-4 pF/µm2 = ?
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Some area capacitance calculations
W=3λ area capacitance calculated by relative to that of a standard gate Consider the area in metal 1 Capacitance to substrate = relative area X relative C value =1.125 □Cg Consider the same area in polysilicon = ? Consider the same area in n-type diffusion = ?
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Total capacitance CT=Cm+Cp+Cg =7.20 □Cg
3 λ 4λ Metal 1λ 2 λ Diffusion 2 λ Polysilicon Total capacitance CT=Cm+Cp+Cg =7.20 □Cg
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Total capacitance CT=Cm+Cp+Cg = Total capacitance CT=Cm+Cp+Cg = 7 □Cg
Metal 1 |< λ > I <- 4 λ -> I < λ > I 3 λ 4λ 1λ 2 λ Diffusion 2 λ Polysilicon Total capacitance CT=Cm+Cp+Cg = Total capacitance CT=Cm+Cp+Cg = 7 □Cg
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