ee5342 – semiconductor device modeling and characterization lecture 11 - spring 2005
DESCRIPTION
EE5342 – Semiconductor Device Modeling and Characterization Lecture 11 - Spring 2005. Professor Ronald L. Carter [email protected] http://www.uta.edu/ronc/. Project 1. Some initial data and assignments for Project 1 are posted at http://www.uta.edu/ronc/5342/projects/Project_1/IVdata.xls and - PowerPoint PPT PresentationTRANSCRIPT
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EE5342 Semiconductor Device Modeling and CharacterizationLecture 11 - Spring 2005Professor Ronald L. [email protected]://www.uta.edu/ronc/
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Project 1Some initial data and assignments for Project 1 are posted at http://www.uta.edu/ronc/5342/projects/Project_1/IVdata.xls and
http://www.uta.edu/ronc/5342/projects/Project_1/CVdata.xls
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Additional Project 1 ActionsDevelop the best least squares* static model (IS, N, ISR, NR, RS) for operating the diode in the range 700mV < vext < 1000mV*i.e. minimize
Repeat for the range 300mV to 1V
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SPICE Diode A.C. Parameters
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SPICE Diode Static I-V
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Small signal diodeZ-parameter**
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SPICE Diode Re{Z}
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Small signal low and high freq. limits for Z-par.**
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SPICE Diode Temp. Eqs.1
Sheet1
IS(T) / IS =exp(T/Tnom-1)EG/(NVt)(T/Tnom)^(XTI/N )
ISR(T) / ISR =exp(T/Tnom-1)EG/(NRVt)(T/Tnom)^(XTI/NR )
IKF(T) / IKF =(1 + TIKF(T-Tnom))
BV(T) / BV =(1 + TBV1(T-Tnom) + TBV2(T-Tnom)^2)
RS(T) / RS =(1 + TRS1(T-Tnom) + TRS2(T-Tnom)^2)
VJ(T) / VJ =T/Tnom - 3Vtln(T/Tnom) - Eg(Tnom)T/Tnom + Eg(T)
Eg(T) =1.16 - .000702T^2/(T+1108)
CJO(T) / CJO ={1+M[4E-4*(T-Tnom)+(1-VJ(T)/VJ)]}
Sheet2
Sheet3
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Corrections in some versions of SPICE
Sheet1
exp{[Eg(Tn)/Vtn - Eg(T)/Vt]/N}/*(T/Tnom)^(XTI/NR)
exp{[Eg(Tn)/Vtn - Eg(T)/Vt]/NR}/*(T/Tnom)^(XTI/NR)
Sheet2
Sheet3
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SPICE Diode Temp. Pars.1PARAMETER definition and units default value
XTI IS temperature exponent 3.0TIKF ikf temperature coefficient (linear) C -1 0.0TRS1 rs temperature coefficient (linear) C -1 0.0TRS2 rs temperature coefficient (quadratic) C -2 0.0TBV1 bv temperature coefficient (linear) C -1 0.0TBV2 bv temperature coefficient (quadratic) C -2 0.0T_ABS absolute temperature CT_MEASURED measured temperature CT_REL_GLOBAL relative to current temperature CT_REL_LOCAL Relative to AKO model temperature C
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Thermal Resistance
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Self-Heating Effects
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Self-Heating EffectsSPICE models the IS, etc. the same for all power dissipations.The effect of diode self-heating is to increase the current at all voltages.In this case, an Rth of 600K/W gave nearly the same simulation as re-setting RS from 1 Ohm to 0.32 Ohm.The diode Tj is different at all curr.
- PiN DiodePiN: Na >> Nint (= N-) & Nint
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PiN Diode Depletion Fields
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PiN Diode Depletion Conditions
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CV data and N(x) calculation
Chart2
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17996846674974400
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102161300757465000
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278109750566510000
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357825561061480000
403123623495584000
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552501667434644000
607917750309954000
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4554330881048940
3349742313706200
SRD_CV
A1. Develop extraction techniques on the data below for determining CJ0, VJ and M.
A2. Use these extraction techniques on the data below to determine estimates for
CJ0
VJ
M
B1. If the area of this junction is known to be 804 sq. microns, determine the
doping concentration on the lightly doped side as a function of
depletion width.
B2. Is the function determined in B1 consistent with the value of M determined in A2?
Why, and should a different model be used in SPICE for this diode?
epr =11.7
epso =8.85E-14
q =1.60E-19
A =8.04E-06
VextCjNx
-6.601.62E-135.14E-05
-6.501.62E-137.62E+165.13E-05
-6.401.63E-134.16E+165.11E-05
-6.301.64E-132.53E+165.07E-05
-6.201.66E-131.80E+165.01E-05
-6.101.69E-131.54E+164.92E-05
-6.001.72E-131.57E+164.84E-05
-5.901.75E-131.83E+164.75E-05
-5.801.78E-132.30E+164.69E-05
-5.701.80E-133.00E+164.63E-05
-5.601.81E-133.94E+164.59E-05
-5.501.83E-135.12E+164.56E-05
-5.401.84E-136.55E+164.54E-05
-5.301.84E-138.25E+164.52E-05
-5.201.85E-131.02E+174.50E-05
-5.101.85E-131.25E+174.49E-05
-5.001.86E-131.50E+174.48E-05
-4.901.86E-131.78E+174.47E-05
-4.801.87E-132.08E+174.46E-05
-4.701.87E-132.42E+174.46E-05
-4.601.87E-132.78E+174.45E-05
-4.501.87E-133.17E+174.45E-05
-4.401.87E-133.58E+174.44E-05
-4.301.88E-134.03E+174.44E-05
-4.201.88E-134.50E+174.44E-05
-4.101.88E-135.00E+174.43E-05
-4.001.88E-135.53E+174.43E-05
-3.901.88E-136.08E+174.43E-05
-3.801.88E-136.67E+174.42E-05
-3.701.88E-137.27E+174.42E-05
-3.601.88E-137.91E+174.42E-05
-3.501.88E-138.58E+174.42E-05
-3.401.89E-139.25E+174.42E-05
-3.301.89E-139.91E+174.42E-05
-3.201.89E-131.07E+184.41E-050.00000804
-3.101.89E-131.15E+184.41E-05
-3.001.89E-131.22E+184.41E-05
-2.901.89E-131.30E+184.41E-05
-2.801.89E-131.38E+184.41E-05
-2.701.89E-131.48E+184.41E-05
-2.601.89E-131.56E+184.41E-05
-2.501.89E-131.65E+184.41E-05
-2.401.89E-131.74E+184.41E-05
-2.301.89E-131.84E+184.40E-05
-2.201.89E-131.94E+184.40E-05
-2.101.89E-132.04E+184.40E-05
-2.001.89E-132.15E+184.40E-05
-1.901.89E-132.24E+184.40E-05
-1.801.89E-132.35E+184.40E-05
-1.701.89E-132.46E+184.40E-05
-1.601.89E-132.58E+184.40E-05
-1.501.89E-132.67E+184.40E-05
-1.401.89E-132.76E+184.40E-05
-1.301.89E-132.92E+184.40E-05
-1.201.89E-133.03E+184.40E-05
-1.101.89E-132.97E+184.40E-05
-1.001.89E-132.87E+184.40E-05
-0.901.89E-132.35E+184.40E-05
-0.801.89E-131.43E+184.40E-05
-0.701.90E-136.58E+174.39E-05
-0.601.90E-132.49E+174.39E-05
-0.501.90E-139.15E+164.38E-05
-0.401.91E-133.78E+164.36E-05
-0.301.93E-132.03E+164.30E-05
-0.201.98E-131.48E+164.21E-05
-0.102.03E-131.29E+164.10E-05
0.002.10E-131.04E+163.97E-05
0.102.20E-137.17E+153.79E-05
0.202.37E-135.29E+153.51E-05
0.302.67E-134.55E+153.12E-05
0.403.15E-133.35E+152.64E-05
0.504.41E-131.89E-05
4.41E-13
SRD_CV
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4.41E-13
MBD0006D92E.unknown
Chart1
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SRD_CV
A1. Develop extraction techniques on the data below for determining CJ0, VJ and M.
A2. Use these extraction techniques on the data below to determine estimates for
CJ0
VJ
M
B1. If the area of this junction is known to be 804 sq. microns, determine the
doping concentration on the lightly doped side as a function of
depletion width.
B2. Is the function determined in B1 consistent with the value of M determined in A2?
Why, and should a different model be used in SPICE for this diode?
epr =11.7
epso =8.85E-14
q =1.60E-19
A =8.04E-06
VextCjNx
-6.601.62E-135.14E-05
-6.501.62E-137.62E+165.13E-05
-6.401.63E-134.16E+165.11E-05
-6.301.64E-132.53E+165.07E-05
-6.201.66E-131.80E+165.01E-05
-6.101.69E-131.54E+164.92E-05
-6.001.72E-131.57E+164.84E-05
-5.901.75E-131.83E+164.75E-05
-5.801.78E-132.30E+164.69E-05
-5.701.80E-133.00E+164.63E-05
-5.601.81E-133.94E+164.59E-05
-5.501.83E-135.12E+164.56E-05
-5.401.84E-136.55E+164.54E-05
-5.301.84E-138.25E+164.52E-05
-5.201.85E-131.02E+174.50E-05
-5.101.85E-131.25E+174.49E-05
-5.001.86E-131.50E+174.48E-05
-4.901.86E-131.78E+174.47E-05
-4.801.87E-132.08E+174.46E-05
-4.701.87E-132.42E+174.46E-05
-4.601.87E-132.78E+174.45E-05
-4.501.87E-133.17E+174.45E-05
-4.401.87E-133.58E+174.44E-05
-4.301.88E-134.03E+174.44E-05
-4.201.88E-134.50E+174.44E-05
-4.101.88E-135.00E+174.43E-05
-4.001.88E-135.53E+174.43E-05
-3.901.88E-136.08E+174.43E-05
-3.801.88E-136.67E+174.42E-05
-3.701.88E-137.27E+174.42E-05
-3.601.88E-137.91E+174.42E-05
-3.501.88E-138.58E+174.42E-05
-3.401.89E-139.25E+174.42E-05
-3.301.89E-139.91E+174.42E-05
-3.201.89E-131.07E+184.41E-050.00000804
-3.101.89E-131.15E+184.41E-05
-3.001.89E-131.22E+184.41E-05
-2.901.89E-131.30E+184.41E-05
-2.801.89E-131.38E+184.41E-05
-2.701.89E-131.48E+184.41E-05
-2.601.89E-131.56E+184.41E-05
-2.501.89E-131.65E+184.41E-05
-2.401.89E-131.74E+184.41E-05
-2.301.89E-131.84E+184.40E-05
-2.201.89E-131.94E+184.40E-05
-2.101.89E-132.04E+184.40E-05
-2.001.89E-132.15E+184.40E-05
-1.901.89E-132.24E+184.40E-05
-1.801.89E-132.35E+184.40E-05
-1.701.89E-132.46E+184.40E-05
-1.601.89E-132.58E+184.40E-05
-1.501.89E-132.67E+184.40E-05
-1.401.89E-132.76E+184.40E-05
-1.301.89E-132.92E+184.40E-05
-1.201.89E-133.03E+184.40E-05
-1.101.89E-132.97E+184.40E-05
-1.001.89E-132.87E+184.40E-05
-0.901.89E-132.35E+184.40E-05
-0.801.89E-131.43E+184.40E-05
-0.701.90E-136.58E+174.39E-05
-0.601.90E-132.49E+174.39E-05
-0.501.90E-139.15E+164.38E-05
-0.401.91E-133.78E+164.36E-05
-0.301.93E-132.03E+164.30E-05
-0.201.98E-131.48E+164.21E-05
-0.102.03E-131.29E+164.10E-05
0.002.10E-131.04E+163.97E-05
0.102.20E-137.17E+153.79E-05
0.202.37E-135.29E+153.51E-05
0.302.67E-134.55E+153.12E-05
0.403.15E-133.35E+152.64E-05
0.504.41E-131.89E-05
4.41E-13
SRD_CV
4.41E-13
MBD0006D92E.unknown
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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
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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
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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.
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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.
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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
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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)
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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).
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Additional Project 1 ActionsWhat forward voltage range actually fits the standard CV model? Hint: this will be for Va > VPT.What auxiliary circuit would you add in order to model the diode for operation at Va < VPT?
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2/24 and 3/1 classProject workday on 2/24 no classMeet on 3/1 in 212 ELBBe sure you have a gamma account and can access iccap. If problems, send questions to [email protected] will start using iccap and have a demonstration.Check project web page for updates
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References1 OrCAD PSpice A/D Manual, Version 9.1, November, 1999, OrCAD, Inc.2 Semiconductor Device Modeling with SPICE, 2nd ed., by Massobrio and Antognetti, McGraw Hill, NY, 1993.