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Add lab 3 sources.

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Danila Fedorin 2021-01-27 15:05:45 -08:00
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*Assignment:
* Find the measured logical effort for a two input NOR gate, and a two input NAND gate
* empirically by taking the ratio of slopes for delay vs fanout for the logic gates
* and an inverter.
* Plot delay as a function of fanout for an inverter, 2 input Nor and Nand.
* measure the slopes of these lines.
* ratio the slopes for Nand and Nor to that of the inverter
* how does that compare to back of envelope calculation for this technology?
***** long channel VTP = -0.9, VTN = 0.8 *****
* .include modelcard/1um.pm
* .param supply = 5
* .param ll = 1u
****** 50nm models***
* .include ./modelcard/50nm.pm
* .param supply =1
* .param ll=50nm
****** 16nm low power models***
* .include ./modelcard/PTM_LP/16nm.pm
* .param supply =0.9
* .param ll=16nm
****** 16nm high peformance models***
.include ./modelcard/PTM_HP/16nm.pm
.param supply =0.7
.param ll=16nm
.subckt nn d g s ww=100nm
mnfet d g s 0 nmos L=ll w=ww
.ends
.subckt pp d g s ww=100nm
mpfet d g s vdd pmos L=ll w=ww
.ends
.subckt inv out inn size=100n beta=2
XPP out inn vdd pp ww='size*beta/(beta+1)'
XNN out inn 0 nn ww='size/(beta+1)'
.ENDS inv
.subckt nd2 out in0 in1 size=100n beta=2
Xp0 out in0 vdd pp ww='beta*size/(beta+2)'
Xp1 out in1 vdd pp ww='beta*size/(beta+2)'
Xn0 out in0 nnn nn ww='2*size/(beta+2)'
Xn1 nnn in1 gnd nn ww='2*size/(beta+2)'
.ends nd2
.subckt no2 out in0 in1 size=100n beta=2
Xp0 nnn in0 vdd pp ww='2*beta*size/(2*beta+1)'
Xp1 out in1 nnn pp ww='2*beta*size/(2*beta+1)'
Xn0 out in0 gnd nn ww='size/(2*beta+1)'
Xn1 out in1 gnd nn ww='size/(2*beta+1)'
.ends no2
.subckt dut out inn size = 10 bb = 1.5
* xdut out inn inv size='size' beta='bb'
* Xnn2 out inn vdd nd2 size='size' beta='bb'
* Xno2 out inn gnd no2 size='size' beta='bb'
Xno2 out gnd inn no2 size='size' beta='bb'
.ends dut
*********begin: topLevel*****
.ic v(n0)=0
.param mm=1
.param gg=100
x0 n1 n0 dut size='gg*ll'
x1 n2 n1 dut size='gg*ll'
x2 n3 n2 dut size='gg*ll'
x3 n4 n3 dut size='gg*ll'
x4 n5 n4 dut size='gg*ll'
x5 n6 n5 dut size='gg*ll'
x6 n0 n6 dut size='gg*ll'
x7 thr thr dut size='gg*ll'
xl0 p1 n0 dut size={ll*gg*mm}
xl1 p2 n1 dut size={ll*gg*mm}
xl2 p3 n2 dut size={ll*gg*mm}
xl3 p4 n3 dut size={ll*gg*mm}
xl4 p5 n4 dut size={ll*gg*mm}
xl5 p6 n5 dut size={ll*gg*mm}
xl6 p0 n6 dut size={ll*gg*mm}
* Parameters
.global gnd vdd
.param gnd=0
*DC supplies
vdd vdd 0 'supply'
* this line directs the simulator to perform a transient analysis
* .tran <timestep> <simulationLength>
.tran 1p 40n
* Below are measurment statements that direct the simulator to make the specified measurements and write the to *.log file
* Search the *.log file for the names (ivdd, del10,del1, rtime, ftime) to find the results.
* one can also measure these value in the waveform viewer
.meas ivdd find i(vdd) at=1.8n
.meas thresh find v(thr) at=1.8n
.meas del10 trig v(n1) val='0.5*supply' cross =2 targ v(n1) val='0.5*supply' cross =12
.meas del1 param = 'del10/70'
.meas rtime trig v(n2) val= '0.1 * supply' rise = 2 targ v(n2) val = '0.9*supply' rise =2
.meas ftime trig v(n2) val= '0.9 * supply' fall = 2 targ v(n2) val = '0.1*supply' fall =2

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\documentclass{article}
\usepackage[margin=1in]{geometry}
\usepackage{amsmath}
\usepackage{graphicx}
\usepackage{multicol}
\begin{document}
\section*{Lab 2}
\newcommand{\width}{0.6\linewidth}
The following five tables present the collected data for
the 4 technologies, as well as an additional measurement
of the high-power $16nm$ technology with $\beta=1.5$.
The first three columns are in seconds, while the last
column is the normalized logical effort. The first
row ($h=0$) is extrapolated from the other two data points.
\begin{figure}[h]
\centering
\begin{tabular}{lccccc}
& Inverter & NAND & NOR (1) & NOR (2) \\
\hline
$h=0$ & 1.70E-11 & 2.37E-11 & 9.52E-11 & 2.69E-11 \\
$h=2$ & 1.74E-10 & 2.00E-10 & 2.98E-10 & 2.50E-10 \\
$h=4$ & 3.31E-10 & 3.76E-10 & 5.00E-10 & 4.74E-10 \\
$\frac{dt}{dh}$ & 7.85E-11 & 8.81E-11 & 1.01E-10 & 1.12E-10 \\
$g$ & 1.00E+00 & 1.12E+00 & 1.29E+00 & 1.42E+00
\end{tabular}
\label{fig:1um}
\caption{Delays, Slopes, and Logical Efforts of Gates at $1\mu m$}
\end{figure}
\begin{figure}[h]
\centering
\begin{tabular}{lccccc}
& Inverter & NAND & NOR (1) & NOR (2) \\
\hline
$h=0$ & 7.50E-12 & 1.39E-11 & 2.96E-11 & 1.42E-11 \\
$h=2$ & 3.57E-11 & 4.83E-11 & 6.73E-11 & 5.89E-11 \\
$h=4$ & 6.40E-11 & 8.27E-11 & 1.05E-10 & 1.04E-10 \\
$\frac{dt}{dh}$ & 1.41E-11 & 1.72E-11 & 1.89E-11 & 2.23E-11 \\
$g$ & 1.00E+00 & 1.22E+00 & 1.34E+00 & 1.58E+00
\end{tabular}
\label{fig:50nm}
\caption{Delays, Slopes, and Logical Efforts of Gates at $50nm$}
\end{figure}
\begin{figure}[h]
\centering
\begin{tabular}{lccccc}
& Inverter & NAND & NOR (1) & NOR (2) \\
\hline
$h=0$ & 6.12E-12 & 1.21E-11 & 2.32E-11 & 1.52E-11 \\
$h=2$ & 2.30E-11 & 3.48E-11 & 5.50E-11 & 4.80E-11 \\
$h=4$ & 3.99E-11 & 5.75E-11 & 8.69E-11 & 8.07E-11 \\
$\frac{dt}{dh}$ & 8.44E-12 & 1.13E-11 & 1.59E-11 & 1.64E-11 \\
$g$ & 1.00E+00 & 1.34E+00 & 1.89E+00 & 1.94E+00 \\
\end{tabular}
\label{fig:16nmlp}
\caption{Delays, Slopes, and Logical Efforts of Gates at $16nm$ (LP)}
\end{figure}
\begin{figure}[h!]
\centering
\begin{tabular}{lccccc}
& Inverter & NAND & NOR (1) & NOR (2) \\
\hline
$h=0$ & 1.87E-12 & 4.21E-12 & 7.84E-12 & 3.71E-12 \\
$h=2$ & 5.14E-12 & 8.11E-12 & 1.26E-11 & 9.58E-12 \\
$h=4$ & 8.41E-12 & 1.20E-11 & 1.73E-11 & 1.54E-11 \\
$\frac{dt}{dh}$ & 1.63E-12 & 1.95E-12 & 2.37E-12 & 2.93E-12 \\
$g$ & 1.00E+00 & 1.19E+00 & 1.45E+00 & 1.80E+00 \\
\end{tabular}
\label{fig:16nmhp}
\caption{Delays, Slopes, and Logical Efforts of Gates at $16nm$ (HP)}
\end{figure}
\begin{figure}[h!]
\centering
\begin{tabular}{lccccc}
& Inverter & NAND & NOR (1) & NOR (2) \\
\hline
$h=0$ & 1.87E-12 & 3.88E-12 & 7.12E-12 & 3.57E-12 \\
$h=2$ & 4.99E-12 & 7.90E-12 & 1.17E-11 & 9.09E-12 \\
$h=4$ & 8.11E-12 & 1.19E-11 & 1.62E-11 & 1.46E-11 \\
$\frac{dt}{dh}$ & 1.56E-12 & 2.01E-12 & 2.27E-12 & 2.76E-12 \\
$g$ & 1.00E+00 & 1.29E+00 & 1.45E+00 & 1.77E+00 \\
\end{tabular}
\label{fig:16nmhpbeta}
\caption{Delays, Slopes, and Logical Efforts of Gates at $16nm$ (HP) and $\beta=1.5$}
\end{figure}
\pagebreak
\begin{multicols}{2}
\includegraphics[width=\linewidth]{1um.png} \par
\includegraphics[width=\linewidth]{50nm.png} \par
\end{multicols}
\begin{multicols}{2}
\includegraphics[width=\linewidth]{16nmlp.png} \par
\includegraphics[width=\linewidth]{16nmhp.png} \par
\end{multicols}
\begin{figure}[h!]
\centering
\includegraphics[width=0.5\linewidth]{16nmhpbeta.png}
\end{figure}
I'm not completely certain why different technologies
would have differing logical efforts. However, I would
assume that in the case of smaller technologies, the issue
is due to various short-channel effects. For intance,
if the transistors are ``leaky'', and we're trying
to pull the output up, some of the charge will
consistently escape through the nMOS transistors,
increasing the time it would take to charge the
output capacitor. This effect would scale with the electrical
effort, since it would affectively lower the rate at which
charge flows into the output. The lab data is consistent
with this prediction, with normalized logical effort
values being consistently higher in smaller technologies.
Furthermore, with effects such as DIBL, it's possible
that the CMOS assembly spends more time with both
the nMOS and pMOS transistors conducting current,
which again would reduce the rate at which we
can charge the output.
The linear analysis that we typically perform rests on many
levels of simplification. One of these levels ignores all but
the capacitance of the transistors connected to the output
to estimate a gate's output capacitance. However, depending
on the situation, the capacitances of other transistors
can play a role in the final output as well. This is
the case for a NOR gate, specifically when it's being pulled
down. It's possible that the ``top'' nMOS transistor of this
gate was transparent while its output was high, which
would charge the inner diffusion node between the two nMOs transistors
to roughly $V_{GT}$. This contributes additional
charge to the output, so it takes longer to pull down.
In our specific situation, one input is constantly connected
to $V_{dd}$, meaning that it is transparent. If this is
the top input, it would allow charge into the shared nMOS
diffusion region, causing a delay as described above.
This is precisely what we see in the data: the NOR(1)
column, in which the ``top`` transistor is connected
to $V_dd$, the delays are higher.
I used an alternative value of $\beta=1.5$. For the NAND gate, the logical effort
increased (from 1.19 to 1.29). I believe
that this is due to the resistances of the the pMOS transistors
(which are affected by this change). In the NAND gate, there are
two pMOS transistors in parallel. When beta is reduced from 2 to 1.5,
their resistance goes up by a factor of $4/3$. Since the pull up time of the NAND
gate is affected by the resistance of these transistors, and since this
resistance now increased, it takes longer to pull up, leading to larger
gate effort. This is further accentuated by the fact that one of the NAND
inputs is tied to $V_{dd}$, which means the output is always pulled up
via a single, higher-resistance transistor.
\end{document}

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*
* Long channel models from CMOS Circuit Design, Layout, and Simulation,
* Level=3 models VDD=5V, see CMOSedu.com
.MODEL nmos NMOS LEVEL = 3
+ TOX = 200E-10 NSUB = 1E17 GAMMA = 0.5
+ PHI = 0.7 VTO = 0.8 DELTA = 3.0
+ UO = 650 ETA = 3.0E-6 THETA = 0.1
+ KP = 120E-6 VMAX = 1E5 KAPPA = 0.3
+ RSH = 0 NFS = 1E12 TPG = 1
+ XJ = 500E-9 LD = 100E-9
+ CGDO = 200E-12 CGSO = 200E-12 CGBO = 1E-10
+ CJ = 400E-6 PB = 1 MJ = 0.5
+ CJSW = 300E-12 MJSW = 0.5
*
.MODEL pmos PMOS LEVEL = 3
+ TOX = 200E-10 NSUB = 1E17 GAMMA = 0.6
+ PHI = 0.7 VTO = -0.9 DELTA = 0.1
+ UO = 250 ETA = 0 THETA = 0.1
+ KP = 40E-6 VMAX = 5E4 KAPPA = 1
+ RSH = 0 NFS = 1E12 TPG = -1
+ XJ = 500E-9 LD = 100E-9
+ CGDO = 200E-12 CGSO = 200E-12 CGBO = 1E-10
+ CJ = 400E-6 PB = 1 MJ = 0.5
+ CJSW = 300E-12 MJSW = 0.5
*

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* Short channel models from CMOS Circuit Design, Layout, and Simulation,
* 50nm BSIM4 models VDD=1V, see CMOSedu.com
*
.model nmos nmos level = 54
+binunit = 1 paramchk= 1 mobmod = 0
+capmod = 2 igcmod = 1 igbmod = 1 geomod = 0
+diomod = 1 rdsmod = 0 rbodymod= 1 rgatemod= 1
+permod = 1 acnqsmod= 0 trnqsmod= 0
+tnom = 27 toxe = 1.4e-009 toxp = 7e-010 toxm = 1.4e-009
+epsrox = 3.9 wint = 5e-009 lint = 1.2e-008
+ll = 0 wl = 0 lln = 1 wln = 1
+lw = 0 ww = 0 lwn = 1 wwn = 1
+lwl = 0 wwl = 0 xpart = 0 toxref = 1.4e-009
+vth0 = 0.22 k1 = 0.35 k2 = 0.05 k3 = 0
+k3b = 0 w0 = 2.5e-006 dvt0 = 2.8 dvt1 = 0.52
+dvt2 = -0.032 dvt0w = 0 dvt1w = 0 dvt2w = 0
+dsub = 2 minv = 0.05 voffl = 0 dvtp0 = 1e-007
+dvtp1 = 0.05 lpe0 = 5.75e-008 lpeb = 2.3e-010 xj = 2e-008
+ngate = 5e+020 ndep = 2.8e+018 nsd = 1e+020 phin = 0
+cdsc = 0.0002 cdscb = 0 cdscd = 0 cit = 0
+voff = -0.15 nfactor = 1.2 eta0 = 0.15 etab = 0
+vfb = -0.55 u0 = 0.032 ua = 1.6e-010 ub = 1.1e-017
+uc = -3e-011 vsat = 1.1e+005 a0 = 2 ags = 1e-020
+a1 = 0 a2 = 1 b0 = -1e-020 b1 = 0
+keta = 0.04 dwg = 0 dwb = 0 pclm = 0.18
+pdiblc1 = 0.028 pdiblc2 = 0.022 pdiblcb = -0.005 drout = 0.45
+pvag = 1e-020 delta = 0.01 pscbe1 = 8.14e+008 pscbe2 = 1e-007
+fprout = 0.2 pdits = 0.2 pditsd = 0.23 pditsl = 2.3e+006
+rsh = 3 rdsw = 150 rsw = 150 rdw = 150
+rdswmin = 0 rdwmin = 0 rswmin = 0 prwg = 0
+prwb = 6.8e-011 wr = 1 alpha0 = 0.074 alpha1 = 0.005
+beta0 = 30 agidl = 0.0002 bgidl = 2.1e+009 cgidl = 0.0002
+egidl = 0.8
+aigbacc = 0.012 bigbacc = 0.0028 cigbacc = 0.002
+nigbacc = 1 aigbinv = 0.014 bigbinv = 0.004 cigbinv = 0.004
+eigbinv = 1.1 nigbinv = 3 aigc = 0.017 bigc = 0.0028
+cigc = 0.002 aigsd = 0.017 bigsd = 0.0028 cigsd = 0.002
+nigc = 1 poxedge = 1 pigcd = 1 ntox = 1
+xrcrg1 = 12 xrcrg2 = 5
+cgso = 6.238e-010 cgdo = 6.238e-010 cgbo = 2.56e-011 cgdl = 2.495e-10
+cgsl = 2.495e-10 ckappas = 0.02 ckappad = 0.02 acde = 1
+moin = 15 noff = 0.9 voffcv = 0.02
+kt1 = -0.21 kt1l = 0.0 kt2 = -0.042 ute = -1.5
+ua1 = 1e-009 ub1 = -3.5e-019 uc1 = 0 prt = 0
+at = 53000
+fnoimod = 1 tnoimod = 0
+jss = 0.0001 jsws = 1e-011 jswgs = 1e-010 njs = 1
+ijthsfwd= 0.01 ijthsrev= 0.001 bvs = 10 xjbvs = 1
+jsd = 0.0001 jswd = 1e-011 jswgd = 1e-010 njd = 1
+ijthdfwd= 0.01 ijthdrev= 0.001 bvd = 10 xjbvd = 1
+pbs = 1 cjs = 0.0005 mjs = 0.5 pbsws = 1
+cjsws = 5e-010 mjsws = 0.33 pbswgs = 1 cjswgs = 5e-010
+mjswgs = 0.33 pbd = 1 cjd = 0.0005 mjd = 0.5
+pbswd = 1 cjswd = 5e-010 mjswd = 0.33 pbswgd = 1
+cjswgd = 5e-010 mjswgd = 0.33 tpb = 0.005 tcj = 0.001
+tpbsw = 0.005 tcjsw = 0.001 tpbswg = 0.005 tcjswg = 0.001
+xtis = 3 xtid = 3
+dmcg = 0e-006 dmci = 0e-006 dmdg = 0e-006 dmcgt = 0e-007
+dwj = 0e-008 xgw = 0e-007 xgl = 0e-008
+rshg = 0.4 gbmin = 1e-010 rbpb = 5 rbpd = 15
+rbps = 15 rbdb = 15 rbsb = 15 ngcon = 1
*
.model pmos pmos level = 54
+binunit = 1 paramchk= 1 mobmod = 0
+capmod = 2 igcmod = 1 igbmod = 1 geomod = 0
+diomod = 1 rdsmod = 0 rbodymod= 1 rgatemod= 1
+permod = 1 acnqsmod= 0 trnqsmod= 0
+tnom = 27 toxe = 1.4e-009 toxp = 7e-010 toxm = 1.4e-009
+epsrox = 3.9 wint = 5e-009 lint = 1.2e-008
+ll = 0 wl = 0 lln = 1 wln = 1
+lw = 0 ww = 0 lwn = 1 wwn = 1
+lwl = 0 wwl = 0 xpart = 0 toxref = 1.4e-009
+vth0 = -0.22 k1 = 0.39 k2 = 0.05 k3 = 0
+k3b = 0 w0 = 2.5e-006 dvt0 = 3.9 dvt1 = 0.635
+dvt2 = -0.032 dvt0w = 0 dvt1w = 0 dvt2w = 0
+dsub = 0.7 minv = 0.05 voffl = 0 dvtp0 = 0.5e-008
+dvtp1 = 0.05 lpe0 = 5.75e-008 lpeb = 2.3e-010 xj = 2e-008
+ngate = 5e+020 ndep = 2.8e+018 nsd = 1e+020 phin = 0
+cdsc = 0.000258 cdscb = 0 cdscd = 6.1e-008 cit = 0
+voff = -0.15 nfactor = 2 eta0 = 0.15 etab = 0
+vfb = 0.55 u0 = 0.0095 ua = 1.6e-009 ub = 8e-018
+uc = 4.6e-013 vsat = 90000 a0 = 1.2 ags = 1e-020
+a1 = 0 a2 = 1 b0 = -1e-020 b1 = 0
+keta = -0.047 dwg = 0 dwb = 0 pclm = 0.55
+pdiblc1 = 0.03 pdiblc2 = 0.0055 pdiblcb = 3.4e-008 drout = 0.56
+pvag = 1e-020 delta = 0.014 pscbe1 = 8.14e+008 pscbe2 = 9.58e-007
+fprout = 0.2 pdits = 0.2 pditsd = 0.23 pditsl = 2.3e+006
+rsh = 3 rdsw = 250 rsw = 160 rdw = 160
+rdswmin = 0 rdwmin = 0 rswmin = 0 prwg = 3.22e-008
+prwb = 6.8e-011 wr = 1 alpha0 = 0.074 alpha1 = 0.005
+beta0 = 30 agidl = 0.0002 bgidl = 2.1e+009 cgidl = 0.0002
+egidl = 0.8
+aigbacc = 0.012 bigbacc = 0.0028 cigbacc = 0.002
+nigbacc = 1 aigbinv = 0.014 bigbinv = 0.004 cigbinv = 0.004
+eigbinv = 1.1 nigbinv = 3 aigc = 0.69 bigc = 0.0012
+cigc = 0.0008 aigsd = 0.0087 bigsd = 0.0012 cigsd = 0.0008
+nigc = 1 poxedge = 1 pigcd = 1 ntox = 1
+xrcrg1 = 12 xrcrg2 = 5
+cgso = 7.43e-010 cgdo = 7.43e-010 cgbo = 2.56e-011 cgdl = 1e-014
+cgsl = 1e-014 ckappas = 0.5 ckappad = 0.5 acde = 1
+moin = 15 noff = 0.9 voffcv = 0.02
+kt1 = -0.19 kt1l = 0 kt2 = -0.052 ute = -1.5
+ua1 = -1e-009 ub1 = 2e-018 uc1 = 0 prt = 0
+at = 33000
+fnoimod = 1 tnoimod = 0
+jss = 0.0001 jsws = 1e-011 jswgs = 1e-010 njs = 1
+ijthsfwd= 0.01 ijthsrev= 0.001 bvs = 10 xjbvs = 1
+jsd = 0.0001 jswd = 1e-011 jswgd = 1e-010 njd = 1
+ijthdfwd= 0.01 ijthdrev= 0.001 bvd = 10 xjbvd = 1
+pbs = 1 cjs = 0.0005 mjs = 0.5 pbsws = 1
+cjsws = 5e-010 mjsws = 0.33 pbswgs = 1 cjswgs = 5e-010
+mjswgs = 0.33 pbd = 1 cjd = 0.0005 mjd = 0.5
+pbswd = 1 cjswd = 5e-010 mjswd = 0.33 pbswgd = 1
+cjswgd = 5e-010 mjswgd = 0.33 tpb = 0.005 tcj = 0.001
+tpbsw = 0.005 tcjsw = 0.001 tpbswg = 0.005 tcjswg = 0.001
+xtis = 3 xtid = 3
+dmcg = 0e-006 dmci = 0e-006 dmdg = 0e-006 dmcgt = 0e-007
+dwj = 0e-008 xgw = 0e-007 xgl = 0e-008
+rshg = 0.4 gbmin = 1e-010 rbpb = 5 rbpd = 15
+rbps = 15 rbdb = 15 rbsb = 15 ngcon = 1

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* PTM High Performance 16nm Metal Gate / High-K / Strained-Si
* nominal Vdd = 0.7V
.model nmos nmos level = 54
+version = 4.0 binunit = 1 paramchk= 1 mobmod = 0
+capmod = 2 igcmod = 1 igbmod = 1 geomod = 1
+diomod = 1 rdsmod = 0 rbodymod= 1 rgatemod= 1
+permod = 1 acnqsmod= 0 trnqsmod= 0
+tnom = 27 toxe = 9.5e-010 toxp = 7e-010 toxm = 9.5e-010
+dtox = 2.5e-010 epsrox = 3.9 wint = 5e-009 lint = 1.45e-009
+ll = 0 wl = 0 lln = 1 wln = 1
+lw = 0 ww = 0 lwn = 1 wwn = 1
+lwl = 0 wwl = 0 xpart = 0 toxref = 9.5e-010
+xl = -6.5e-9
+vth0 = 0.47965 k1 = 0.4 k2 = 0 k3 = 0
+k3b = 0 w0 = 2.5e-006 dvt0 = 1 dvt1 = 2
+dvt2 = 0 dvt0w = 0 dvt1w = 0 dvt2w = 0
+dsub = 0.1 minv = 0.05 voffl = 0 dvtp0 = 1e-011
+dvtp1 = 0.1 lpe0 = 0 lpeb = 0 xj = 5e-009
+ngate = 1e+023 ndep = 7e+018 nsd = 2e+020 phin = 0
+cdsc = 0 cdscb = 0 cdscd = 0 cit = 0
+voff = -0.13 nfactor = 2.3 eta0 = 0.0032 etab = 0
+vfb = -0.55 u0 = 0.03 ua = 6e-010 ub = 1.2e-018
+uc = 0 vsat = 290000 a0 = 1 ags = 0
+a1 = 0 a2 = 1 b0 = 0 b1 = 0
+keta = 0.04 dwg = 0 dwb = 0 pclm = 0.02
+pdiblc1 = 0.001 pdiblc2 = 0.001 pdiblcb = -0.005 drout = 0.5
+pvag = 1e-020 delta = 0.01 pscbe1 = 8.14e+008 pscbe2 = 1e-007
+fprout = 0.2 pdits = 0.01 pditsd = 0.23 pditsl = 2300000
+rsh = 5 rdsw = 140 rsw = 75 rdw = 75
+rdswmin = 0 rdwmin = 0 rswmin = 0 prwg = 0
+prwb = 0 wr = 1 alpha0 = 0.074 alpha1 = 0.005
+beta0 = 30 agidl = 0.0002 bgidl = 2.1e+009 cgidl = 0.0002
+egidl = 0.8 aigbacc = 0.012 bigbacc = 0.0028 cigbacc = 0.002
+nigbacc = 1 aigbinv = 0.014 bigbinv = 0.004 cigbinv = 0.004
+eigbinv = 1.1 nigbinv = 3 aigc = 0.0213 bigc = 0.0025889
+cigc = 0.002 aigsd = 0.0213 bigsd = 0.0025889 cigsd = 0.002
+nigc = 1 poxedge = 1 pigcd = 1 ntox = 1
+xrcrg1 = 12 xrcrg2 = 5
+cgso = 5e-011 cgdo = 5e-011 cgbo = 2.56e-011 cgdl = 2.653e-010
+cgsl = 2.653e-010 ckappas = 0.03 ckappad = 0.03 acde = 1
+moin = 15 noff = 0.9 voffcv = 0.02
+kt1 = -0.11 kt1l = 0 kt2 = 0.022 ute = -1.5
+ua1 = 4.31e-009 ub1 = 7.61e-018 uc1 = -5.6e-011 prt = 0
+at = 33000
+fnoimod = 1 tnoimod = 0
+jss = 0.0001 jsws = 1e-011 jswgs = 1e-010 njs = 1
+ijthsfwd= 0.01 ijthsrev= 0.001 bvs = 10 xjbvs = 1
+jsd = 0.0001 jswd = 1e-011 jswgd = 1e-010 njd = 1
+ijthdfwd= 0.01 ijthdrev= 0.001 bvd = 10 xjbvd = 1
+pbs = 1 cjs = 0.0005 mjs = 0.5 pbsws = 1
+cjsws = 5e-010 mjsws = 0.33 pbswgs = 1 cjswgs = 3e-010
+mjswgs = 0.33 pbd = 1 cjd = 0.0005 mjd = 0.5
+pbswd = 1 cjswd = 5e-010 mjswd = 0.33 pbswgd = 1
+cjswgd = 5e-010 mjswgd = 0.33 tpb = 0.005 tcj = 0.001
+tpbsw = 0.005 tcjsw = 0.001 tpbswg = 0.005 tcjswg = 0.001
+xtis = 3 xtid = 3
+dmcg = 0 dmci = 0 dmdg = 0 dmcgt = 0
+dwj = 0 xgw = 0 xgl = 0
+rshg = 0.4 gbmin = 1e-010 rbpb = 5 rbpd = 15
+rbps = 15 rbdb = 15 rbsb = 15 ngcon = 1
.model pmos pmos level = 54
+version = 4.0 binunit = 1 paramchk= 1 mobmod = 0
+capmod = 2 igcmod = 1 igbmod = 1 geomod = 1
+diomod = 1 rdsmod = 0 rbodymod= 1 rgatemod= 1
+permod = 1 acnqsmod= 0 trnqsmod= 0
+tnom = 27 toxe = 1e-009 toxp = 7e-010 toxm = 1e-009
+dtox = 3e-010 epsrox = 3.9 wint = 5e-009 lint = 1.45e-009
+ll = 0 wl = 0 lln = 1 wln = 1
+lw = 0 ww = 0 lwn = 1 wwn = 1
+lwl = 0 wwl = 0 xpart = 0 toxref = 1e-009
+xl = -6.5e-9
+vth0 = -0.43121 k1 = 0.4 k2 = -0.01 k3 = 0
+k3b = 0 w0 = 2.5e-006 dvt0 = 1 dvt1 = 2
+dvt2 = -0.032 dvt0w = 0 dvt1w = 0 dvt2w = 0
+dsub = 0.1 minv = 0.05 voffl = 0 dvtp0 = 1e-011
+dvtp1 = 0.05 lpe0 = 0 lpeb = 0 xj = 5e-009
+ngate = 1e+023 ndep = 5.5e+018 nsd = 2e+020 phin = 0
+cdsc = 0 cdscb = 0 cdscd = 0 cit = 0
+voff = -0.126 nfactor = 2.1 eta0 = 0.0032 etab = 0
+vfb = 0.55 u0 = 0.006 ua = 2e-009 ub = 5e-019
+uc = 0 vsat = 250000 a0 = 1 ags = 1e-020
+a1 = 0 a2 = 1 b0 = 0 b1 = 0
+keta = -0.047 dwg = 0 dwb = 0 pclm = 0.12
+pdiblc1 = 0.001 pdiblc2 = 0.001 pdiblcb = 3.4e-008 drout = 0.56
+pvag = 1e-020 delta = 0.01 pscbe1 = 1.2e+009 pscbe2 = 8.0472e-007
+fprout = 0.2 pdits = 0.08 pditsd = 0.23 pditsl = 2300000
+rsh = 5 rdsw = 140 rsw = 70 rdw = 70
+rdswmin = 0 rdwmin = 0 rswmin = 0 prwg = 0
+prwb = 0 wr = 1 alpha0 = 0.074 alpha1 = 0.005
+beta0 = 30 agidl = 0.0002 bgidl = 2.1e+009 cgidl = 0.0002
+egidl = 0.8 aigbacc = 0.012 bigbacc = 0.0028 cigbacc = 0.002
+nigbacc = 1 aigbinv = 0.014 bigbinv = 0.004 cigbinv = 0.004
+eigbinv = 1.1 nigbinv = 3 aigc = 0.0213 bigc = 0.0025889
+cigc = 0.002 aigsd = 0.0213 bigsd = 0.0025889 cigsd = 0.002
+nigc = 1 poxedge = 1 pigcd = 1 ntox = 1
+xrcrg1 = 12 xrcrg2 = 5
+cgso = 5e-011 cgdo = 5e-011 cgbo = 2.56e-011 cgdl = 2.653e-010
+cgsl = 2.653e-010 ckappas = 0.03 ckappad = 0.03 acde = 1
+moin = 15 noff = 0.9 voffcv = 0.02
+kt1 = -0.11 kt1l = 0 kt2 = 0.022 ute = -1.5
+ua1 = 4.31e-009 ub1 = 7.61e-018 uc1 = -5.6e-011 prt = 0
+at = 33000
+fnoimod = 1 tnoimod = 0
+jss = 0.0001 jsws = 1e-011 jswgs = 1e-010 njs = 1
+ijthsfwd= 0.01 ijthsrev= 0.001 bvs = 10 xjbvs = 1
+jsd = 0.0001 jswd = 1e-011 jswgd = 1e-010 njd = 1
+ijthdfwd= 0.01 ijthdrev= 0.001 bvd = 10 xjbvd = 1
+pbs = 1 cjs = 0.0005 mjs = 0.5 pbsws = 1
+cjsws = 5e-010 mjsws = 0.33 pbswgs = 1 cjswgs = 3e-010
+mjswgs = 0.33 pbd = 1 cjd = 0.0005 mjd = 0.5
+pbswd = 1 cjswd = 5e-010 mjswd = 0.33 pbswgd = 1
+cjswgd = 5e-010 mjswgd = 0.33 tpb = 0.005 tcj = 0.001
+tpbsw = 0.005 tcjsw = 0.001 tpbswg = 0.005 tcjswg = 0.001
+xtis = 3 xtid = 3
+dmcg = 0 dmci = 0 dmdg = 0 dmcgt = 0
+dwj = 0 xgw = 0 xgl = 0
+rshg = 0.4 gbmin = 1e-010 rbpb = 5 rbpd = 15
+rbps = 15 rbdb = 15 rbsb = 15 ngcon = 1

139
Lab3/modelcard/PTM_LP/16nm.pm Normal file
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* PTM Low Power 16nm Metal Gate / High-K / Strained-Si
* nominal Vdd = 0.9V
.model nmos nmos level = 54
+version = 4.0 binunit = 1 paramchk= 1 mobmod = 0
+capmod = 2 igcmod = 1 igbmod = 1 geomod = 1
+diomod = 1 rdsmod = 0 rbodymod= 1 rgatemod= 1
+permod = 1 acnqsmod= 0 trnqsmod= 0
+tnom = 27 toxe = 1.2e-009 toxp = 9e-010 toxm = 1.2e-009
+dtox = 3e-010 epsrox = 3.9 wint = 5e-009 lint = 0
+ll = 0 wl = 0 lln = 1 wln = 1
+lw = 0 ww = 0 lwn = 1 wwn = 1
+lwl = 0 wwl = 0 xpart = 0 toxref = 1.2e-009
+vth0 = 0.68191 k1 = 0.4 k2 = 0 k3 = 0
+k3b = 0 w0 = 2.5e-006 dvt0 = 1 dvt1 = 2
+dvt2 = 0 dvt0w = 0 dvt1w = 0 dvt2w = 0
+dsub = 0.1 minv = 0.05 voffl = 0 dvtp0 = 1e-011
+dvtp1 = 0.1 lpe0 = 0 lpeb = 0 xj = 5e-009
+ngate = 1e+023 ndep = 7e+018 nsd = 2e+020 phin = 0
+cdsc = 0 cdscb = 0 cdscd = 0 cit = 0
+voff = -0.1014 nfactor = 1.6 eta0 = 0.0095 etab = 0
+vfb = -0.55 u0 = 0.028 ua = 6e-010 ub = 1.2e-018
+uc = 0 vsat = 200000 a0 = 1 ags = 0
+a1 = 0 a2 = 1 b0 = 0 b1 = 0
+keta = 0.04 dwg = 0 dwb = 0 pclm = 0.02
+pdiblc1 = 0.001 pdiblc2 = 0.001 pdiblcb = -0.005 drout = 0.5
+pvag = 1e-020 delta = 0.01 pscbe1 = 8.14e+008 pscbe2 = 1e-007
+fprout = 0.2 pdits = 0.01 pditsd = 0.23 pditsl = 2300000
+rsh = 5 rdsw = 170 rsw = 75 rdw = 75
+rdswmin = 0 rdwmin = 0 rswmin = 0 prwg = 0
+prwb = 0 wr = 1 alpha0 = 0.074 alpha1 = 0.005
+beta0 = 30 agidl = 0.0002 bgidl = 2.1e+009 cgidl = 0.0002
+egidl = 0.8 aigbacc = 0.012 bigbacc = 0.0028 cigbacc = 0.002
+nigbacc = 1 aigbinv = 0.014 bigbinv = 0.004 cigbinv = 0.004
+eigbinv = 1.1 nigbinv = 3 aigc = 0.015211 bigc = 0.0027432
+cigc = 0.002 aigsd = 0.015211 bigsd = 0.0027432 cigsd = 0.002
+nigc = 1 poxedge = 1 pigcd = 1 ntox = 1
+xrcrg1 = 12 xrcrg2 = 5
+cgso = 5e-011 cgdo = 5e-011 cgbo = 2.56e-011 cgdl = 2.653e-010
+cgsl = 2.653e-010 ckappas = 0.03 ckappad = 0.03 acde = 1
+moin = 15 noff = 0.9 voffcv = 0.02
+kt1 = -0.11 kt1l = 0 kt2 = 0.022 ute = -1.5
+ua1 = 4.31e-009 ub1 = 7.61e-018 uc1 = -5.6e-011 prt = 0
+at = 33000
+fnoimod = 1 tnoimod = 0
+jss = 0.0001 jsws = 1e-011 jswgs = 1e-010 njs = 1
+ijthsfwd= 0.01 ijthsrev= 0.001 bvs = 10 xjbvs = 1
+jsd = 0.0001 jswd = 1e-011 jswgd = 1e-010 njd = 1
+ijthdfwd= 0.01 ijthdrev= 0.001 bvd = 10 xjbvd = 1
+pbs = 1 cjs = 0.0005 mjs = 0.5 pbsws = 1
+cjsws = 5e-010 mjsws = 0.33 pbswgs = 1 cjswgs = 3e-010
+mjswgs = 0.33 pbd = 1 cjd = 0.0005 mjd = 0.5
+pbswd = 1 cjswd = 5e-010 mjswd = 0.33 pbswgd = 1
+cjswgd = 5e-010 mjswgd = 0.33 tpb = 0.005 tcj = 0.001
+tpbsw = 0.005 tcjsw = 0.001 tpbswg = 0.005 tcjswg = 0.001
+xtis = 3 xtid = 3
+dmcg = 0 dmci = 0 dmdg = 0 dmcgt = 0
+dwj = 0 xgw = 0 xgl = 0
+rshg = 0.4 gbmin = 1e-010 rbpb = 5 rbpd = 15
+rbps = 15 rbdb = 15 rbsb = 15 ngcon = 1
.model pmos pmos level = 54
+version = 4.0 binunit = 1 paramchk= 1 mobmod = 0
+capmod = 2 igcmod = 1 igbmod = 1 geomod = 1
+diomod = 1 rdsmod = 0 rbodymod= 1 rgatemod= 1
+permod = 1 acnqsmod= 0 trnqsmod= 0
+tnom = 27 toxe = 1.22e-009 toxp = 9e-010 toxm = 1.22e-009
+dtox = 3.2e-010 epsrox = 3.9 wint = 5e-009 lint = 8e-010
+ll = 0 wl = 0 lln = 1 wln = 1
+lw = 0 ww = 0 lwn = 1 wwn = 1
+lwl = 0 wwl = 0 xpart = 0 toxref = 1.22e-009
+vth0 = -0.6862 k1 = 0.4 k2 = -0.01 k3 = 0
+k3b = 0 w0 = 2.5e-006 dvt0 = 1 dvt1 = 2
+dvt2 = -0.032 dvt0w = 0 dvt1w = 0 dvt2w = 0
+dsub = 0.1 minv = 0.05 voffl = 0 dvtp0 = 1e-011
+dvtp1 = 0.05 lpe0 = 0 lpeb = 0 xj = 7.2e-009
+ngate = 1e+023 ndep = 4.4e+018 nsd = 2e+020 phin = 0
+cdsc = 0 cdscb = 0 cdscd = 0 cit = 0
+voff = -0.08 nfactor = 1.8 eta0 = 0.0095 etab = 0
+vfb = 0.55 u0 = 0.0075 ua = 2e-009 ub = 5e-019
+uc = 0 vsat = 195000 a0 = 1 ags = 1e-020
+a1 = 0 a2 = 1 b0 = 0 b1 = 0
+keta = -0.047 dwg = 0 dwb = 0 pclm = 0.12
+pdiblc1 = 0.001 pdiblc2 = 0.001 pdiblcb = 3.4e-008 drout = 0.56
+pvag = 1e-020 delta = 0.01 pscbe1 = 8.14e+008 pscbe2 = 9.58e-007
+fprout = 0.2 pdits = 0.08 pditsd = 0.23 pditsl = 2300000
+rsh = 5 rdsw = 220 rsw = 72.5 rdw = 72.5
+rdswmin = 0 rdwmin = 0 rswmin = 0 prwg = 0
+prwb = 0 wr = 1 alpha0 = 0.074 alpha1 = 0.005
+beta0 = 30 agidl = 0.0002 bgidl = 2.1e+009 cgidl = 0.0002
+egidl = 0.8 aigbacc = 0.012 bigbacc = 0.0028 cigbacc = 0.002
+nigbacc = 1 aigbinv = 0.014 bigbinv = 0.004 cigbinv = 0.004
+eigbinv = 1.1 nigbinv = 3 aigc = 0.0097 bigc = 0.00125
+cigc = 0.0008 aigsd = 0.0115 bigsd = 0.00125 cigsd = 0.0008
+nigc = 1 poxedge = 1 pigcd = 1 ntox = 1
+xrcrg1 = 12 xrcrg2 = 5
+cgso = 5e-011 cgdo = 5e-011 cgbo = 2.56e-011 cgdl = 2.653e-010
+cgsl = 2.653e-010 ckappas = 0.03 ckappad = 0.03 acde = 1
+moin = 15 noff = 0.9 voffcv = 0.02
+kt1 = -0.11 kt1l = 0 kt2 = 0.022 ute = -1.5
+ua1 = 4.31e-009 ub1 = 7.61e-018 uc1 = -5.6e-011 prt = 0
+at = 33000
+fnoimod = 1 tnoimod = 0
+jss = 0.0001 jsws = 1e-011 jswgs = 1e-010 njs = 1
+ijthsfwd= 0.01 ijthsrev= 0.001 bvs = 10 xjbvs = 1
+jsd = 0.0001 jswd = 1e-011 jswgd = 1e-010 njd = 1
+ijthdfwd= 0.01 ijthdrev= 0.001 bvd = 10 xjbvd = 1
+pbs = 1 cjs = 0.0005 mjs = 0.5 pbsws = 1
+cjsws = 5e-010 mjsws = 0.33 pbswgs = 1 cjswgs = 3e-010
+mjswgs = 0.33 pbd = 1 cjd = 0.0005 mjd = 0.5
+pbswd = 1 cjswd = 5e-010 mjswd = 0.33 pbswgd = 1
+cjswgd = 5e-010 mjswgd = 0.33 tpb = 0.005 tcj = 0.001
+tpbsw = 0.005 tcjsw = 0.001 tpbswg = 0.005 tcjswg = 0.001
+xtis = 3 xtid = 3
+dmcg = 0 dmci = 0 dmdg = 0 dmcgt = 0
+dwj = 0 xgw = 0 xgl = 0
+rshg = 0.4 gbmin = 1e-010 rbpb = 5 rbpd = 15
+rbps = 15 rbdb = 15 rbsb = 15 ngcon = 1