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<A NAME="pgfId=106698">

 </A>

<SPAN CLASS="BodyComputer">

</SPAN>

<A NAME="marker=106697">

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RSH </P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106700">

 </A>

<SPAN CLASS="BodyComputer">

2</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106702">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106704">

 </A>

<SPAN CLASS="Symbol">

W  / </SPAN>

square</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106706">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106708">

 </A>

Sheet resistance of source and drain</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106711">

 </A>

<SPAN CLASS="BodyComputer">

</SPAN>

<A NAME="marker=106710">

 </A>

THETA </P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106713">

 </A>

<SPAN CLASS="BodyComputer">

0.27</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106715">

 </A>

<SPAN CLASS="BodyComputer">

0.29</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106717">

 </A>

V<SUP CLASS="Superscript">

&#8211;1</SUP>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106719">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106721">

 </A>

Mobility-degradation factor</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106724">

 </A>

<SPAN CLASS="BodyComputer">

</SPAN>

<A NAME="marker=106723">

 </A>

TOX </P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106726">

 </A>

<SPAN CLASS="BodyComputer">

1E-8</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106728">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106730">

 </A>

m</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106732">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106734">

 </A>

Gate-oxide thickness</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106737">

 </A>

<SPAN CLASS="BodyComputer">

TPG </SPAN>

<A NAME="marker=106736">

 </A>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106739">

 </A>

<SPAN CLASS="BodyComputer">

1</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106741">

 </A>

<SPAN CLASS="BodyComputer">

-1</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106743">

 </A>

none</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106745">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106747">

 </A>

Type of polysilicon gate</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106750">

 </A>

<SPAN CLASS="BodyComputer">

U0</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106752">

 </A>

<SPAN CLASS="BodyComputer">

550</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106754">

 </A>

<SPAN CLASS="BodyComputer">

135</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106756">

 </A>

cm<SUP CLASS="Superscript">

2</SUP>

V<SUP CLASS="Superscript">

&#8211;1</SUP>

s<SUP CLASS="Superscript">

&#8211;1</SUP>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106758">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106760">

 </A>

Low-field bulk carrier mobility (Uzero, not Uoh)</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106763">

 </A>

<SPAN CLASS="BodyComputer">

</SPAN>

<A NAME="marker=106762">

 </A>

XJ </P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106765">

 </A>

<SPAN CLASS="BodyComputer">

0.2E-6</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106767">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106769">

 </A>

m</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106771">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106773">

 </A>

Junction depth</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106776">

 </A>

<SPAN CLASS="BodyComputer">

</SPAN>

<A NAME="marker=106775">

 </A>

VMAX </P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106778">

 </A>

<SPAN CLASS="BodyComputer">

2E5</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106780">

 </A>

2.5E5</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106782">

 </A>

ms<SUP CLASS="Superscript">

&#8211;1</SUP>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106784">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106786">

 </A>

Saturated carrier velocity</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106789">

 </A>

<SPAN CLASS="BodyComputer">

</SPAN>

<A NAME="marker=106788">

 </A>

VTO </P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106791">

 </A>

<SPAN CLASS="BodyComputer">

0.65</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106793">

 </A>

<SPAN CLASS="BodyComputer">

-0.92</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106795">

 </A>

V</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=106797">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=106799">

 </A>

Zero-bias threshold voltage (VTzero, not VToh)</P>

</TD>

</TR>

</TABLE>

<P CLASS="Body">

<A NAME="pgfId=105322">

 </A>

There are several levels of the SPICE MOSFET models, the following is a simplified overview (a huge number of confusing variations, fixes, and options have been added to these models&#8212;see Meta Software&#8217;s HSPICE User&#8217;s Manual, Vol.&nbsp;II, for a comprehensive description [<A NAME="[HSpice User誷 Manual, 1996c]">

 </A>

1996]):</P>

<OL>

<LI CLASS="NumberFirst">

<A NAME="pgfId=108218">

 </A>

<SPAN CLASS="BodyComputer">

LEVEL  =  1</SPAN>

 (<A NAME="marker=108257">

 </A>

<SPAN CLASS="Definition">

Schichman&#8211;Hodges model</SPAN>

) uses the simple square-law <SPAN CLASS="EquationVariables">

I</SPAN>

<SUB CLASS="SubscriptVariable">

DS</SUB>

&#8211;<SPAN CLASS="EquationVariables">

V</SPAN>

<SUB CLASS="SubscriptVariable">

DS</SUB>

 relation we derived in Section&nbsp;2.1 (Eqs.&nbsp;2.9 and 2.12).</LI>

<LI CLASS="NumberList">

<A NAME="pgfId=108241">

 </A>

<SPAN CLASS="BodyComputer">

LEVEL  =  2</SPAN>

 (<A NAME="marker=108258">

 </A>

<SPAN CLASS="Definition">

Grove&#8211;Frohman model</SPAN>

) uses the 3/2 power equations that result if we include the variation of threshold voltage across the channel.</LI>

<LI CLASS="NumberList">

<A NAME="pgfId=108248">

 </A>

<SPAN CLASS="BodyComputer">

LEVEL  =  3</SPAN>

 (<SPAN CLASS="Definition">

empirical model</SPAN>

<A NAME="marker=108870">

 </A>

) uses empirical equations.</LI>

<LI CLASS="NumberList">

<A NAME="pgfId=108259">

 </A>

The UCB <A NAME="marker=108482">

 </A>

<SPAN CLASS="Definition">

BSIM1</SPAN>

 model (~1984, PSpice <SPAN CLASS="BodyComputer">

LEVEL  =  4</SPAN>

, HSPICE <SPAN CLASS="BodyComputer">

LEVEL  =  13</SPAN>

) focuses on modeling observed device data rather than on device physics. A commercial derivative (HSPICE <SPAN CLASS="BodyComputer">

LEVEL  =  28</SPAN>

<A NAME="marker=108489">

 </A>

) is widely used by ASIC vendors. </LI>

<LI CLASS="NumberList">

<A NAME="pgfId=108281">

 </A>

The UCB <SPAN CLASS="Definition">

BSIM2</SPAN>

 model (~1991, the commercial derivative is HSPICE <SPAN CLASS="BodyComputer">

LEVEL  =  39</SPAN>

<A NAME="marker=108490">

 </A>

) improves modeling of subthreshold conduction.</LI>

<LI CLASS="NumberList">

<A NAME="pgfId=108495">

 </A>

The UCB <SPAN CLASS="Definition">

BSIM3</SPAN>

 model (~1995, the commercial derivative is HSPICE <SPAN CLASS="BodyComputer">

LEVEL  =  49</SPAN>

<A NAME="marker=108574">

 </A>

) corrects potential nonphysical behavior of earlier models.</LI>

<TABLE>

<TR>

<TD ROWSPAN="1" COLSPAN="2">

<P CLASS="TableTitle">

<A NAME="pgfId=108504">

 </A>

TABLE&nbsp;13.15&nbsp;<A NAME="31851">

 </A>

PSpice parameters for process G5 (PSpice <SPAN CLASS="BodyComputer">

LEVEL  =  4</SPAN>

).<A HREF="#pgfId=108502" CLASS="footnote">

3</A>

</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Computer">

<A NAME="pgfId=108508">

 </A>

.MODEL NM1 NMOS LEVEL=4 </P>

<P CLASS="Computer">

<A NAME="pgfId=108509">

 </A>

+ VFB=-0.7, LVFB=-4E-2, WVFB=5E-2</P>

<P CLASS="Computer">

<A NAME="pgfId=108510">

 </A>

+ PHI=0.84, LPHI=0, WPHI=0</P>

<P CLASS="Computer">

<A NAME="pgfId=108511">

 </A>

+ K1=0.78, LK1=-8E-4, WK1=-5E-2</P>

<P CLASS="Computer">

<A NAME="pgfId=108512">

 </A>

+ K2=2.7E-2, LK2=5E-2, WK2=-3E-2</P>

<P CLASS="Computer">

<A NAME="pgfId=108513">

 </A>

+ ETA=-2E-3, LETA=2E-02, WETA=-5E-3</P>

<P CLASS="Computer">

<A NAME="pgfId=108514">

 </A>

+ MUZ=600, DL=0.2, DW=0.5</P>

<P CLASS="Computer">

<A NAME="pgfId=108515">

 </A>

+ U0=0.33, LU0=0.1, WU0=-0.1</P>

<P CLASS="Computer">

<A NAME="pgfId=108516">

 </A>

+ U1=3.3E-2, LU1=3E-2, WU1=-1E-2</P>

<P CLASS="Computer">

<A NAME="pgfId=108517">

 </A>

+ X2MZ=9.7, LX2MZ=-6, WX2MZ=7</P>

<P CLASS="Computer">

<A NAME="pgfId=108518">

 </A>

+ X2E=4.4E-4, LX2E=-3E-3, WX2E=9E-4</P>

<P CLASS="Computer">

<A NAME="pgfId=108519">

 </A>

+ X3E=-5E-5, LX3E=-2E-3, WX3E=-1E-3</P>

<P CLASS="Computer">

<A NAME="pgfId=108520">

 </A>

+ X2U0=-1E-2, LX2U0=-1E-3, WX2U0=5E-3</P>

<P CLASS="Computer">

<A NAME="pgfId=108521">

 </A>

+ X2U1=-1E-3, LX2U1=1E-3, WX2U1=-7E-4</P>

<P CLASS="Computer">

<A NAME="pgfId=108522">

 </A>

+ MUS=700, LMUS=-50, WMUS=7</P>

<P CLASS="Computer">

<A NAME="pgfId=108523">

 </A>

+ X2MS=-6E-2, LX2MS=1, WX2MS=4</P>

<P CLASS="Computer">

<A NAME="pgfId=108524">

 </A>

+ X3MS=9, LX3MS=2, WX3MS=-6</P>

<P CLASS="Computer">

<A NAME="pgfId=108525">

 </A>

+ X3U1=9E-3, LX3U1=2E-4, WX3U1=-5E-3</P>

<P CLASS="Computer">

<A NAME="pgfId=108526">

 </A>

+ TOX=1E-2, TEMP=25, VDD=5</P>

<P CLASS="Computer">

<A NAME="pgfId=108527">

 </A>

+ CGDO=3E-10, CGSO=3E-10, CGBO=4E-10</P>

<P CLASS="Computer">

<A NAME="pgfId=108528">

 </A>

+ XPART=1</P>

<P CLASS="Computer">

<A NAME="pgfId=108529">

 </A>

+ N0=1, LN0=0, WN0=0</P>

<P CLASS="Computer">

<A NAME="pgfId=108530">

 </A>

+ NB=0, LNB=0, WNB=0</P>

<P CLASS="Computer">

<A NAME="pgfId=108531">

 </A>

+ ND=0, LND=0, WND=0</P>

<P CLASS="Computer">

<A NAME="pgfId=108532">

 </A>

* n+ diffusion </P>

<P CLASS="Computer">

<A NAME="pgfId=108533">

 </A>

+ RSH=2.1, CJ=3.5E-4, CJSW=2.9E-10</P>

<P CLASS="Computer">

<A NAME="pgfId=108534">

 </A>

+ JS=1E-8, PB=0.8, PBSW=0.8</P>

<P CLASS="Computer">

<A NAME="pgfId=108535">

 </A>

+ MJ=0.44, MJSW=0.26, WDF=0</P>

<P CLASS="Computer">

<A NAME="pgfId=108536">

 </A>

*, DS=0</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Computer">

<A NAME="pgfId=108538">

 </A>

.MODEL PM1 PMOS LEVEL=4 </P>

<P CLASS="Computer">

<A NAME="pgfId=108539">

 </A>

+ VFB=-0.2, LVFB=4E-2, WVFB=-0.1</P>

<P CLASS="Computer">

<A NAME="pgfId=108540">

 </A>

+ PHI=0.83, LPHI=0, WPHI=0</P>

<P CLASS="Computer">

<A NAME="pgfId=108541">

 </A>

+ K1=0.35, LK1=-7E-02, WK1=0.2</P>

<P CLASS="Computer">

<A NAME="pgfId=108542">

 </A>

+ K2=-4.5E-2, LK2=9E-3, WK2=4E-2</P>

<P CLASS="Computer">

<A NAME="pgfId=108543">

 </A>

+ ETA=-1E-2, LETA=2E-2, WETA=-4E-4</P>

<P CLASS="Computer">

<A NAME="pgfId=108544">

 </A>

+ MUZ=140, DL=0.2, DW=0.5</P>

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