EE5342 Semiconductor Device Modeling and CharacterizationLecture 10 - Spring 2004Professor Ronald L. Carterronc@uta.eduhttp://www.uta.edu/ronc/

Estimating Junction Capacitance ParametersFollowing L29 EE 5340 Fall 2003If CJ = CJO {1 Va/VJ}-MDefine y {d[ln(CJ)]/dV}-1A plot ofy = yi vs. Va = vi hasslope = -1/M, andintercept = VJ/MF

Derivatives DefinedThe central derivative is defined as (following Lecture 14 and 11)

yi,Central = (vi+1 vi-1)/(lnCi+1 lnCi-1), with vi = (vi+1 + vi-1)/2Equation A1.1

The Forward derivative (as applied to the theory in L11 and L14) is defined in this case as

yi,Forward = (vi+1 vi)/(lnCi+1 lnCi), with vi,eff = (vi+1 + vi-1)/2Equation A1.2

Data calculationsTable A1.1. Calculations of yi and vi for the Central and Forward derivatives for the data in Table 1. The yi and vi are defined in Equations A1.1 and A1.2.

y vs. Va plotsFigure A1.3. The yi and vi values from the theory in L11 and L14 with associa-ted trend lines and slope, intercept and R^2 values.

Comments on thedata interpretationIt is clear the Central derivative gives the more reliable data as the R^2 value is larger. M is the reciprocal of the magnitude of the slope obtained by a least squares fit (linear) plot of yi vs. ViVJ is the horizontal axis intercept (computed as the vertical axis intercept divided by the slope)Cj0 is the vertical axis intercept of a least squares fit of Cj-1/M vs. V (must use the value of V for which the Cj was computed). The computations will be shown later.The results of plotting Cj-1/M vs. V for the M value quoted below are shown in Figure A1.4

Calculating theparametersM = 1/2.551 = 0.392 (the data were generated using M = 0.389, thus we have a 0.77% error).VJ = yi(vi=0)/slope =1.6326/2.551 = 0.640 (the data were generated using fi = 0.648, thus we have a 1.24% error).Cj0 = 1.539E30^-.392 = 1.467 pF (the data were generated using Cj0 = 1.68 pF, thus we have a 12.6% error)

Linearized C-V plotFigure A1.4. A plot of the data for Cj^-1/M vs. Va using the M value determined for this data (M = 0.392).

Doping ProfileThe data were equal-ly spaced (DV=0.1V), the central differ-ence was used, for -7.4V V 0.4V, which for Cj = e/x, corresponds to a range of 2.81E-5 cm x 8.99E-5 cm. These data are shown. The trend line is also shown for a linear fit. Since R^2 = 1.000, a linear N(x) relationship can be assumed.

SPICE DiodeModelDinjN~1, rd~N*Vt/iDrd*Cd = TT =Cdepl given by CJO, VJ and MDrecN~2, rd~N*Vt/iDrd*Cd = ?Cdepl =?t

DC CurrentId = area(Ifwd - Irev) Ifwd = forward current = InrmKinj + IrecKgen Inrm = normal current = IS(exp ( Vd/(NVt))-1) Kinj = high-injection factor For: IKF > 0, Kinj = (IKF/(IKF+Inrm))1/2 otherwise, Kinj = 1 Irec = rec. cur. = ISR(exp (Vd/(NRVt))- 1)

Kgen = generation factor = ((1-Vd/VJ)2+0.005)M/2 Irev = reverse current = Irevhigh + Irevlow Irevhigh = IBVexp[-(Vd+BV)/(NBVVt)] Irevlow = IBVLexp[-(Vd+BV)/(NBVLVt)}

DDiodeGeneral FormD [area value]ExamplesDCLAMP 14 0 DMOD D13 15 17 SWITCH 1.5Model Form.MODEL D [model parameters] .model D1N4148-X D(Is=2.682n N=1.836 Rs=.5664 Ikf=44.17m Xti=3 Eg=1.11 Cjo=4p M=.3333 Vj=.5 Fc=.5 Isr=1.565n Nr=2 Bv=100 Ibv=10 0uTt=11.54n)*$

Diode Model ParametersModel Parameters (see .MODEL statement)DescriptionUnitDefaultISSaturation currentamp1E-14NEmission coefficient1ISRRecombination current parameteramp0NREmission coefficient for ISR1IKFHigh-injection knee currentampinfiniteBVReverse breakdown knee voltagevoltinfiniteIBVReverse breakdown knee currentamp1E-10NBVReverse breakdown ideality factor1RSParasitic resistanceohm0TTTransit timesec0CJOZero-bias p-n capacitancefarad0VJp-n potentialvolt1Mp-n grading coefficient0.5FCForward-bias depletion cap. coef,0.5EGBandgap voltage (barrier height)eV1.11

Diode Model ParametersModel Parameters (see .MODEL statement)DescriptionUnitDefaultXTIIS temperature exponent3TIKFIKF temperature coefficient (linear)C-10TBV1BV temperature coefficient (linear)C-10TBV2BV temperature coefficient (quadratic)C-20TRS1RS temperature coefficient (linear)C-10TRS2RS temperature coefficient (quadratic)C-20 T_MEASUREDMeasured temperatureCT_ABSAbsolute temperatureCT_REL_GLOBALRel. to curr. Temp.CT_REL_LOCALRelative to AKO model temperatureC

For information on T_MEASURED, T_ABS, T_REL_GLOBAL, and T_REL_LOCAL, see the .MODEL statement.

The diode is modeled as an ohmic resistance (RS/area) in series with an intrinsic diode. is the anode and is the cathode. Positive current is current flowing from the anode through the diode to the cathode. [area value] scales IS, ISR, IKF,RS, CJO, and IBV, and defaults to 1. IBV and BV are both specified as positive values.In the following equations:Vd= voltage across the intrinsic diode only Vt= kT/q (thermal voltage) k = Boltzmanns constant q = electron charge T = analysis temperature (K) Tnom= nom. temp. (set with TNOM option)

vD=Vextln iDData ln(IKF) ln(IS) ln[(IS*IKF) 1/2]Effect of Rs VKF ln(ISR)Effect of high level injectionlow level injectionrecomb. currentVext-Va=iD*Rs

Interpreting a plotof log(iD) vs. VdIn the region where Irec < Inrm < IKF, and iD*RS

Static Model Eqns.Parameter ExtractionIn the region where Irec < Inrm < IKF, and iD*RS

Static Model Eqns.Parameter ExtractionIn the region where Irec > Inrm, and iD*RS

Static Model Eqns.Parameter ExtractionIn the region where IKF > Inrm, and iD*RS

Static Model Eqns.Parameter ExtractionIn the region where iD*RS >> Vd. diD/Vd ~ 1/RSeff

dVd/diD RSeff

Getting Diode Data forParameter ExtractionThe model used .model Dbreak D( Is=1e-13 N=1 Rs=.5 Ikf=5m Isr=.11n Nr=2)Analysis has V1 swept, and IPRINT has V1 sweptiD, Vd data in Output

diD/dVd - Numerical Differentiation

Sheet1

vEXTiDNeffISeffGeff

1.95E-014.15E-09

2.00E-014.58E-091.978.99E-119.01E-08

2.05E-015.05E-091.968.89E-119.97E-08

2.10E-015.57E-091.968.80E-111.10E-07

2.15E-016.15E-091.958.67E-111.22E-07

2.20E-016.80E-091.948.50E-111.36E-07

2.25E-017.51E-091.938.31E-111.51E-07

2.30E-018.30E-091.928.11E-111.67E-07

2.35E-019.18E-091.917.79E-111.87E-07

2.40E-011.02E-081.907.62E-112.08E-07

2.45E-011.13E-081.887.33E-112.32E-07

2.50E-011.25E-081.866.93E-112.60E-07

2.55E-011.39E-081.856.64E-112.91E-07

2.60E-011.54E-081.826.15E-113.28E-07

2.65E-011.71E-081.805.78E-113.69E-07

2.70E-011.91E-081.785.41E-114.16E-07

2.75E-012.13E-081.765.01E-114.70E-07

2.80E-012.38E-081.734.63E-115.32E-07

2.85E-012.66E-081.714.18E-116.05E-07

2.90E-012.98E-081.683.73E-116.90E-07

2.95E-013.35E-081.653.36E-117.87E-07

3.00E-013.77E-081.622.98E-119.01E-07

3.05E-014.25E-081.592.61E-111.04E-06

3.10E-014.81E-081.572.28E-111.19E-06

3.15E-015.44E-081.541.97E-111.38E-06

3.20E-016.18E-081.511.69E-111.59E-06

3.25E-017.04E-081.481.44E-111.85E-06

3.30E-018.03E-081.451.21E-112.15E-06

3.35E-019.18E-081.421.01E-112.51E-06

3.40E-011.05E-071.398.45E-122.94E-06

3.45E-011.21E-071.377.28E-123.43E-06

3.50E-011.40E-071.345.92E-124.04E-06

3.55E-011.62E-071.324.78E-124.77E-06

3.60E-011.87E-071.304.04E-125.62E-06

3.65E-012.18E-071.273.34E-126.65E-06VdiDdiD/dVd(central difference)

3.70E-012.54E-071.252.74E-127.89E-06Vd(n-1)iD(n-1)

3.75E-012.97E-071.232.27E-129.37E-06Vd(n)iD(n)(iD(n+1) - iD(n-1))/(Vd(n+1) - Vd(n-1))

3.80E-013.48E-071.211.87E-121.12E-05Vd(n+1)iD(n+1)

3.85E-014.08E-071.191.56E-121.33E-05Vd(n+2)iD(n+2)

3.90E-014.81E-071.181.33E-121.59E-05

3.95E-015.67E-071.161.12E-121.90E-05

4.00E-016.70E-071.159.41E-132.27E-05

4.05E-017.94E-071.138.03E-132.72E-05

4.10E-019.42E-071.126.81E-133.27E-05

4.15E-011.12E-061.115.93E-133.93E-05

4.20E-011.34E-061.105.34E-134.71E-05

4.25E-011.59E-061.094.66E-135.67E-05

4.30E-011.90E-061.084.10E-136.83E-05

4.35E-012.28E-061.073.61E-138.24E-05

4.40E-012.73E-061.073.22E-139.94E-05

4.45E-013.27E-061.062.98E-131.20E-04

4.50E-013.92E-061.062.70E-131.45E-04

4.55E-014.72E-061.052.45E-131.75E-04

4.60E-015.67E-061.042.26E-132.11E-04

4.65E-016.83E-061.042.10E-132.56E-04

4.70E-018.23E-061.041.95E-133.09E-04

4.75E-019.92E-061.031.85E-133.74E-04

4.80E-011.20E-051.031.75E-134.53E-04

4.85E-011.45E-051.021.62E-135.49E-04

4.90E-011.75E-051.021.53E-136.65E-04

4.95E-012.11E-051.021.49E-138.05E-04

5.00E-012.55E-051.021.42E-139.76E-04

5.05E-013.09E-051.021.38E-131.18E-03

5.10E-013.73E-051.021.36E-131.43E-03

5.15E-014.52E-051.011.35E-131.73E-03

5.20E-015.47E-051.021.36E-132.10E-03

5.25E-016.61E-051.021.37E-132.53E-03

5.30E-018.00E-051.021.40E-133.06E-03

5.35E-019.67E-051.021.40E-133.70E-03

5.40E-011.17E-041.021.52E-134.46E-03

5.45E-011.41E-041.021.62E-135.37E-03

5.50E-011.71E-041.021.64E-136.48E-03

5.55E-012.06E-041.031.79E-137.79E-03

5.60E-012.49E-041.032.02E-139.34E-03

5.65E-013.00E-041.042.28E-131.12E-02

5.70E-013.61E-041.052.60E-131.34E-02

5.75E-014.33E-041.063.08E-131.60E-02

5.80E-015.20E-041.073.75E-131.90E-02

5.85E-016.23E-041.084.71E-132.25E-02

5.90E-017.45E-041.096.24E-132.65E-02

5.95E-018.88E-041.118.79E-133.10E-02

6.00E-011.06E-031.131.21E-123.63E-02

6.05E-011.25E-031.151.81E-124.22E-02

6.10E-011.48E-031.182.98E-124.86E-02

6.15E-011.74E-031.214.79E-125.58E-02

6.20E-012.04E-031.248.09E-126.36E-02

6.25E-012.37E-031.281.45E-117.19E-02

6.30E-012.75E-031.322.64E-118.08E-02

6.35E-013.18E-031.374.89E-119.02E-02

6.40E-013.66E-031.429.23E-111.00E-01

6.45E-014.18E-031.471.72E-101.10E-01

6.50E-014.76E-031.523.18E-101.21E-01

6.55E-015.39E-031.585.80E-101.32E-01

6.60E-016.08E-031.641.02E-091.44E-01

6.65E-016.83E-031.701.76E-091.56E-01

6.70E-017.64E-031.752.92E-091.69E-01

6.75E-018.51E-031.814.69E-091.82E-01

6.80E-019.46E-031.877.33E-091.96E-01

6.85E-011.05E-021.931.10E-082.10E-01

6.90E-011.16E-021.981.61E-082.26E-01

6.95E-011.27E-022.032.22E-082.43E-01

7.00E-011.40E-022.083.13E-082.60E-01

7.05E-011.53E-022.134.33E-082.78E-01

7.10E-011.68E-022.185.81E-082.97E-01

7.15E-011.83E-022.237.70E-083.17E-01

7.20E-011.99E-022.289.67E-083.39E-01

7.25E-012.17E-022.331.29E-073.60E-01

7.30E-012.35E-022.381.65E-073.83E-01

7.35E-012.55E-022.422.02E-074.08E-01

7.40E-012.76E-022.472.60E-074.32E-01

7.45E-012.98E-022.533.32E-074.57E-01

7.50E-013.22E-022.584.18E-074.83E-01

7.55E-013.47E-022.635.22E-075.10E-01

7.60E-013.73E-022.696.58E-075.37E-01

7.65E-014.00E-022.758.38E-075.64E-01

7.70E-014.29E-022.811.05E-065.92E-01

7.75E-014.60E-022.871.32E-066.20E-01

7.80E-014.91E-022.931.67E-066.48E-01

7.85E-015.24E-023.002.08E-066.77E-01

7.90E-015.59E-023.062.59E-067.06E-01

7.95E-015.95E-023.143.27E-067.34E-01

8.00E-016.32E-023.214.16E-067.61E-01

8.05E-016.71E-023.295.20E-067.89E-01

8.10E-017.11E-023.366.40E-068.18E-01

8.15E-017.53E-023.458.01E-068.45E-01

8.20E-017.96E-023.531.01E-058.71E-01

8.25E-018.40E-023.621.24E-058.98E-01

8.30E-018.86E-023.711.53E-059.24E-01

8.35E-019.32E-023.801.90E-059.49E-01

8.40E-019.81E-023.892.29E-059.76E-01

8.45E-011.03E-014.002.92E-059.95E-01

8.50E-011.08E-014.103.53E-051.02E+00

8.55E-011.13E-014.174.06E-051.05E+00

8.60E-011.19E-014.285.02E-051.07E+00

8.65E-011.24E-014.406.13E-051.09E+00

8.70E-011.29E-014.517.41E-051.11E+00

8.75E-011.35E-014.628.89E-051.13E+00

8.80E-011.41E-014.699.95E-051.16E+00

8.85E-011.47E-014.801.18E-041.18E+00

8.90E-011.53E-014.961.47E-041.19E+00

8.95E-011.59E-015.071.71E-041.21E+00

9.00E-011.65E-015.181.97E-041.23E+00

9.05E-011.71E-015.332.39E-041.24E+00

9.10E-011.77E-015.432.72E-041.26E+00

9.15E-011.83E-015.543.08E-041.28E+00

9.20E-011.90E-015.693.65E-041.29E+00

9.25E-011.96E-015.804.09E-041.31E+00

9.30E-012.03E-015.904.57E-041.33E+00

9.35E-012.10E-016.055.30E-041.34E+00

9.40E-012.16E-016.206.12E-041.35E+00

9.45E-012.23E-016.306.73E-041.37E+00

9.50E-012.30E-016.457.68E-041.38E+007.25E-01

9.55E-012.37E-01

Sheet1

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iD

ISeff

Reff

iD(A), Iseff(A), and 1/Reff(mho) vs. Vext(V)

Sheet2

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Neff

Neff vs. Vext

Sheet3

VdiDdiD/dVd(central difference)

Vd(n-1)iD(n-1) etc.

Vd(n)iD(n)(iD(n+1) - iD(n-1))/(Vd(n+1) - Vd(n-1))

Vd(n+1)iD(n+1)(iD(n+2) - iD(n))/(Vd(n+2) - Vd(n))

Vd(n+2)iD(n+2) etc.

dln(iD)/dVd - Numerical Differentiation

Sheet1

vEXTiDNeffISeffGeff

1.95E-014.15E-09

2.00E-014.58E-091.978.99E-119.01E-08

2.05E-015.05E-091.968.89E-119.97E-08

2.10E-015.57E-091.968.80E-111.10E-07

2.15E-016.15E-091.958.67E-111.22E-07

2.20E-016.80E-091.948.50E-111.36E-07

2.25E-017.51E-091.938.31E-111.51E-07

2.30E-018.30E-091.928.11E-111.67E-07

2.35E-019.18E-091.917.79E-111.87E-07

2.40E-011.02E-081.907.62E-112.08E-07

2.45E-011.13E-081.887.33E-112.32E-07

2.50E-011.25E-081.866.93E-112.60E-07

2.55E-011.39E-081.856.64E-112.91E-07

2.60E-011.54E-081.826.15E-113.28E-07

2.65E-011.71E-081.805.78E-113.69E-07

2.70E-011.91E-081.785.41E-114.16E-07

2.75E-012.13E-081.765.01E-114.70E-07

2.80E-012.38E-081.734.63E-115.32E-07

2.85E-012.66E-081.714.18E-116.05E-07

2.90E-012.98E-081.683.73E-116.90E-07

2.95E-013.35E-081.653.36E-117.87E-07

3.00E-013.77E-081.622.98E-119.01E-07

3.05E-014.25E-081.592.61E-111.04E-06

3.10E-014.81E-081.572.28E-111.19E-06

3.15E-015.44E-081.541.97E-111.38E-06

3.20E-016.18E-081.511.69E-111.59E-06

3.25E-017.04E-081.481.44E-111.85E-06

3.30E-018.03E-081.451.21E-112.15E-06

3.35E-019.18E-081.421.01E-112.51E-06

3.40E-011.05E-071.398.45E-122.94E-06

3.45E-011.21E-071.377.28E-123.43E-06

3.50E-011.40E-071.345.92E-124.04E-06

3.55E-011.62E-071.324.78E-124.77E-06

3.60E-011.87E-071.304.04E-125.62E-06

3.65E-012.18E-071.273.34E-126.65E-06VdiDdiD/dVd(central difference)

3.70E-012.54E-071.252.74E-127.89E-06Vd(n-1)iD(n-1)

3.75E-012.97E-071.232.27E-129.37E-06Vd(n)iD(n)(iD(n+1) - iD(n-1))/(Vd(n+1) - Vd(n-1))

3.80E-013.48E-071.211.87E-121.12E-05Vd(n+1)iD(n+1)

3.85E-014.08E-071.191.56E-121.33E-05Vd(n+2)iD(n+2)

3.90E-014.81E-071.181.33E-121.59E-05

3.95E-015.67E-071.161.12E-121.90E-05

4.00E-016.70E-071.159.41E-132.27E-05

4.05E-017.94E-071.138.03E-132.72E-05

4.10E-019.42E-071.126.81E-133.27E-05

4.15E-011.12E-061.115.93E-133.93E-05

4.20E-011.34E-061.105.34E-134.71E-05

4.25E-011.59E-061.094.66E-135.67E-05

4.30E-011.90E-061.084.10E-136.83E-05

4.35E-012.28E-061.073.61E-138.24E-05

4.40E-012.73E-061.073.22E-139.94E-05

4.45E-013.27E-061.062.98E-131.20E-04

4.50E-013.92E-061.062.70E-131.45E-04

4.55E-014.72E-061.052.45E-131.75E-04

4.60E-015.67E-061.042.26E-132.11E-04

4.65E-016.83E-061.042.10E-132.56E-04

4.70E-018.23E-061.041.95E-133.09E-04

4.75E-019.92E-061.031.85E-133.74E-04

4.80E-011.20E-051.031.75E-134.53E-04

4.85E-011.45E-051.021.62E-135.49E-04

4.90E-011.75E-051.021.53E-136.65E-04

4.95E-012.11E-051.021.49E-138.05E-04

5.00E-012.55E-051.021.42E-139.76E-04

5.05E-013.09E-051.021.38E-131.18E-03

5.10E-013.73E-051.021.36E-131.43E-03

5.15E-014.52E-051.011.35E-131.73E-03

5.20E-015.47E-051.021.36E-132.10E-03

5.25E-016.61E-051.021.37E-132.53E-03

5.30E-018.00E-051.021.40E-133.06E-03

5.35E-019.67E-051.021.40E-133.70E-03

5.40E-011.17E-041.021.52E-134.46E-03

5.45E-011.41E-041.021.62E-135.37E-03

5.50E-011.71E-041.021.64E-136.48E-03

5.55E-012.06E-041.031.79E-137.79E-03

5.60E-012.49E-041.032.02E-139.34E-03

5.65E-013.00E-041.042.28E-131.12E-02

5.70E-013.61E-041.052.60E-131.34E-02

5.75E-014.33E-041.063.08E-131.60E-02

5.80E-015.20E-041.073.75E-131.90E-02

5.85E-016.23E-041.084.71E-132.25E-02

5.90E-017.45E-041.096.24E-132.65E-02

5.95E-018.88E-041.118.79E-133.10E-02

6.00E-011.06E-031.131.21E-123.63E-02

6.05E-011.25E-031.151.81E-124.22E-02

6.10E-011.48E-031.182.98E-124.86E-02

6.15E-011.74E-031.214.79E-125.58E-02

6.20E-012.04E-031.248.09E-126.36E-02

6.25E-012.37E-031.281.45E-117.19E-02

6.30E-012.75E-031.322.64E-118.08E-02

6.35E-013.18E-031.374.89E-119.02E-02

6.40E-013.66E-031.429.23E-111.00E-01

6.45E-014.18E-031.471.72E-101.10E-01

6.50E-014.76E-031.523.18E-101.21E-01

6.55E-015.39E-031.585.80E-101.32E-01

6.60E-016.08E-031.641.02E-091.44E-01

6.65E-016.83E-031.701.76E-091.56E-01

6.70E-017.64E-031.752.92E-091.69E-01

6.75E-018.51E-031.814.69E-091.82E-01

6.80E-019.46E-031.877.33E-091.96E-01

6.85E-011.05E-021.931.10E-082.10E-01

6.90E-011.16E-021.981.61E-082.26E-01

6.95E-011.27E-022.032.22E-082.43E-01

7.00E-011.40E-022.083.13E-082.60E-01

7.05E-011.53E-022.134.33E-082.78E-01

7.10E-011.68E-022.185.81E-082.97E-01

7.15E-011.83E-022.237.70E-083.17E-01

7.20E-011.99E-022.289.67E-083.39E-01

7.25E-012.17E-022.331.29E-073.60E-01

7.30E-012.35E-022.381.65E-073.83E-01

7.35E-012.55E-022.422.02E-074.08E-01

7.40E-012.76E-022.472.60E-074.32E-01

7.45E-012.98E-022.533.32E-074.57E-01

7.50E-013.22E-022.584.18E-074.83E-01

7.55E-013.47E-022.635.22E-075.10E-01

7.60E-013.73E-022.696.58E-075.37E-01

7.65E-014.00E-022.758.38E-075.64E-01

7.70E-014.29E-022.811.05E-065.92E-01

7.75E-014.60E-022.871.32E-066.20E-01

7.80E-014.91E-022.931.67E-066.48E-01

7.85E-015.24E-023.002.08E-066.77E-01

7.90E-015.59E-023.062.59E-067.06E-01

7.95E-015.95E-023.143.27E-067.34E-01

8.00E-016.32E-023.214.16E-067.61E-01

8.05E-016.71E-023.295.20E-067.89E-01

8.10E-017.11E-023.366.40E-068.18E-01

8.15E-017.53E-023.458.01E-068.45E-01

8.20E-017.96E-023.531.01E-058.71E-01

8.25E-018.40E-023.621.24E-058.98E-01

8.30E-018.86E-023.711.53E-059.24E-01

8.35E-019.32E-023.801.90E-059.49E-01

8.40E-019.81E-023.892.29E-059.76E-01

8.45E-011.03E-014.002.92E-059.95E-01

8.50E-011.08E-014.103.53E-051.02E+00

8.55E-011.13E-014.174.06E-051.05E+00

8.60E-011.19E-014.285.02E-051.07E+00

8.65E-011.24E-014.406.13E-051.09E+00

8.70E-011.29E-014.517.41E-051.11E+00

8.75E-011.35E-014.628.89E-051.13E+00

8.80E-011.41E-014.699.95E-051.16E+00

8.85E-011.47E-014.801.18E-041.18E+00

8.90E-011.53E-014.961.47E-041.19E+00

8.95E-011.59E-015.071.71E-041.21E+00

9.00E-011.65E-015.181.97E-041.23E+00

9.05E-011.71E-015.332.39E-041.24E+00

9.10E-011.77E-015.432.72E-041.26E+00

9.15E-011.83E-015.543.08E-041.28E+00

9.20E-011.90E-015.693.65E-041.29E+00

9.25E-011.96E-015.804.09E-041.31E+00

9.30E-012.03E-015.904.57E-041.33E+00

9.35E-012.10E-016.055.30E-041.34E+00

9.40E-012.16E-016.206.12E-041.35E+00

9.45E-012.23E-016.306.73E-041.37E+00

9.50E-012.30E-016.457.68E-041.38E+007.25E-01

9.55E-012.37E-01

Sheet1

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iD

ISeff

Reff

iD(A), Iseff(A), and 1/Reff(mho) vs. Vext(V)

Sheet2

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Neff

Neff vs. Vext

Sheet3

VdiDdln(iD)/dVd (central difference)

Vd(n-1)iD(n-1) etc.

Vd(n)iD(n)ln(iD(n+1)/iD(n-1))/(Vd(n+1)-Vd(n-1))

Vd(n+1)iD(n+1)ln(iD(n+2)/iD(n))/(Vd(n+2) - Vd(n))

Vd(n+2)iD(n+2) etc.

Diode Par.Extraction1/ReffiDISeff

Results ofParameter ExtractionAt Vd = 0.2 V, NReff = 1.97, ISReff = 8.99E-11 A.At Vd = 0.515 V, Neff = 1.01, ISeff = 1.35 E-13 A.At Vd = 0.9 V, RSeff = 0.725 OhmCompare to.model Dbreak D( Is=1e-13 N=1 Rs=.5 Ikf=5m Isr=.11n Nr=2)

Hints for RS and NFparameter extractionIn the region where vD > VKF. Defining vD = vDext - iD*RS and IHLI = [ISIKF]1/2.iD = IHLIexp (vD/2NVt) + ISRexp (vD/NRVt) diD/diD = 1 (iD/2NVt)(dvDext/diD - RS) + Thus, for vD > VKF (highest voltages only) plot iD-1 vs. (dvDext/diD) to get a line with slope = (2NVt)-1, intercept = - RS/(2NVt)

Application of RS tolower current dataIn the region where vD < VKF. We still have vD = vDext - iD*RS and since.iD = ISexp (vD/NVt) + ISRexp (vD/NRVt) Try applying the derivatives for methods described to the variables iD and vD (using RS and vDext).You also might try comparing t0he N value from the regular N extraction procedure to the value from the previous slide.

ReferencesSemiconductor Device Modeling with SPICE, 2nd ed., by Massobrio and Antognetti, McGraw Hill, NY, 1993.MicroSim OnLine Manual, MicroSim Corporation, 1996.Device Electronics for Integrated Circuits, 2nd ed., by Muller and Kamins, John Wiley, New York, 1986.