Ngspice User Manual

User Manual:

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IS(T1) = IS(T0)T1
T0XT I
exp Egq(T1T0)
k(T1T0)
k q Eg
XT I
B(T1) = B(T0)T1
T0XT B
T0T1XT B
BFISE BRISC
IS(T1) = IS(T0)T1
T0XT I
N
exp Egq(T1T0)
Nk (T1T0)
N
XT I
U(T) = kT
qln NaNd
Ni(T)2!
k q Na
NdNiEg
M0U0
M0(T) = M0(T0)
T
T01.5
R(T) = R(T0)h1 + T C1(TT0) + T C2(TT0)2i
T T0T C1T C2
k
k+ 1)
v(k+1)
nv(k)
nRELTOL vnmax +VNTOL
vnmax = max v(k+1)
n,v(k)
n103
1µV
\
i(k+1)
branch i(k)
branchRELTOL ibrmax +ABSTOL
ibrmax = max \
i(k+1)
branch, i(k)
branch
\
ibranch
1012
109
106
103
25.4×106
103
106
109
1012
1015
Rnom =VALUEscale
m
Racnom =acscale
m
/C
/C2
/
m
m
m
C
Rnom = rsh lSHORT
wNARROW
R(T) = R(TNOM)1 + T C1(TTNOM) + T C2(TTNOM)2
R(TNOM) = Rnom|Racnom T
1
/f
¯
i2
R=4kT
Rf
k T
¯
i2
Rf n =KFIAF
R
ff
/
Cnom = value scale m
F
F/m2
F/m
m
m
m
m
F/C
F/C2
C
F/m
m
Cnom = value scale m
Cnom = CAP scale m
C0= CJ(lSHORT)(wNARROW) + 2CJSW(lSHORT + wNARROW)
CJ = DI0
THICK if DI is specified,
CJ = SiO2
THICK otherwise.
0= 8.854214871e12 F
mSiO2= 3.4531479969e11 F
m
Cnom =C0scale m
C(T) = C(TNOM)1 + T C1(TTNOM) + T C2(TTNOM)2
C(TNOM) = Cnom
T
Lnom =value scale
m
H
m2
m
H/C
H/C2
C
H/m
Lnom =value scale
m
Lnom =IND scale
m
(Lnom =MUµ0NT2CSECT
LENGTH if MU is specified,
Lnom =µ0NT2CSECT
LENGTH otherwise.
µ0= 1.25663706143592e6H
m
L(T) = L(TNOM)1 + T C1(TTNOM) + T C2(TTNOM)2
L(TNOM) = Lnom T
− −
1
/GMIN
V A
V A
V A
V A
1
/T ST OP Hz
1
/sec
V(t) = (V0 if 0 t< T D
V0 + V Ae(tT D)T HET A sin (2πF REQ (tT D)) if T D t < T ST OP
− −
V A
V A
V21 = V2V1V12 = V1V2
V(t) =
V1 if 0 t < T D1,
V1 + V21 1e(tT D1)
T AU1if T D1t < T D2,
V1 + V21 1e(tT D1)
T AU1+V12 1e(tT D2)
T AU2if T D2t < T ST OP.
− − − − −
TiViVi
Ti
TiVi
V A
V A
1
/T ST OP Hz
1
/T ST OP Hz
V(t) = VO+VAsin (2πF Ct +MDI sin (2πF St))
i=gv v =ev i =fi v =hi
g e f h
− −
− −
− −
/unit
H/unit
mhos
/unit
F/unit
K
N=
log
Fmax R
L
C
L2πL2
(K1)
K
2
log K
Hz
/m
F/m
A
/m
/m
− −
/unit
H/unit
mhos
/unit
F/unit
− −
− − −
/unit
H/unit
mhos
/unit
F/unit
V
A
A
A
A
A
1
/area
F
F
V
V
eV
1.11 Si
0.69 Sbd
0.67 Ge
1
/C
1
/C2
C
1
/C
1
/C2
1
/C
1
/C2
3.0 pn
2.0 Sbd
IBVef f < Ibdwn
IBVef f =Ibdwn
BVef f = BV
BVef f = BV NVtln( IBVef f
Ibdwn )
AREAef f = AREA ·M
P Jeff = PJ ·M
ISef f = IS ·AREAeff + JSW P Jef f
IBVef f = IBV ·AREAeff
IKef f = IK ·AREAeff
IKRef f = IKR ·AREAef f
CJef f = CJ0 ·AREAef f
CJPef f = CJP ·P Jeff
ID=
ISef f (eqVD
NkT 1) + VDGMIN, if VD≥ −3NkT
q
ISef f [1 + ( 3NkT
qVDe)3] + VDGMIN, if BVef f < VD<3N kT
q
ISef f (e
q(BVef f +VD)
NkT ) + VDGMIN, if VD≤ −BVef f
Ibdwn =ISef f (e
qBV
NkT 1)
IDef f =
ID
1+rID
IKef f
,if VD≥ −3NkT
q
ID
1+rID
IKRef f
,otherwise.
CDiode =Cdif f usion +Cdepletion
Cdepletion =Cdeplbw +Cdeplsw
Cdiff usion = TT IDef f
VD
Cdeplbw =(CJef f ·(1 VD
VJ )MJ,if VD<FC ·VJ
CJef f ·1FC·(1+MJI)+MJ·VD
VJ
(1FC)(1+MJ) , otherwise.
Cdeplsw =(CJPef f ·(1 VD
PHP )MJSW,if VD<FCS ·PHP
CJPef f ·1FCS·(1+MJSW)+MJSW·VD
PHP
(1FCS)(1+MJSW) , otherwise.
EGnom = 1.16 7.02e4·TNOM2
TNOM + 1108.0
EG(T)=1.16 7.02e4·T2
TNOM + 1108.0
IS(T) = IS ·elogf actor
N
JSW (T) = JSW ·elog f actor
N
logfactor =EG
Vt(TNOM) EG
Vt(T)+ XTI ·ln( T
TNOM)
V J(T) = VJ ·(T
TNOM)Vt(T)·3·ln( T
TNOM) + EGnom
Vt(TNOM) EG(T)
Vt(T)
P HP (T) = PHP ·(T
TNOM)Vt(T)·3·ln( T
TNOM) + EGnom
Vt(TNOM) EG(T)
Vt(T)
CJ(T) = CJ ·1 + MJ ·(4.0e4·(TTNOM) V J(T)
VJ + 1)
CJSW (T) = CJSW ·1 + MJSW ·(4.0e4·(TTNOM) P HP (T)
PHP + 1)
T T (T) = TT ·(1 + TTT1 ·(TTNOM) + TTT2 ·(TTNOM)2)
MJ(T) = MJ ·(1 + TM1 ·(TTNOM) + TM2 ·(TTNOM)2)
RS(T) = RS ·(1 + TRS ·(TTNOM) + TRS2 ·(TTNOM)2)
i2
RS =4kT f
RS
i2
d= 2qIDf+KF IAF
D
ff
A
A
V
A
A
V
A
A
A
F
V
V
A
F
V
F
V
eV
C
1
/C
1
/C2
1
/C
1
/C2
1
/C
1
/C2
1
/C
1
/C2
1
/2
VT0V
βA
/V
λ
1
/V
Cgs F
Cgd
F
V
ISA
C
Id=
B(Vgs VT)2
1+b(Vgs VT)11AVds
3
3(1 + LVds) for 0 < Vds <3
A
B(Vgs VT)2
1+b(Vgs VT)(1 + LVds) for V > 3
A
V
A
/V2
1
/V
1
/V
1
/V
F
F
V
m m2
m2
µm
A
/m2
F/m2
VT0)
V
A
/V2
V
V
λ)
1
/V
F
F
IS
A
V
F/m
F/m
F/m
/
F/m2
F/m
0.50 (level1)
0.33 (level2,3)
m
cm3
cm2
cm2
m
m
cm2/V·sec
V/cm
m
/s
1
/V
C
P=P0+PL
Leffective
+PW
Weffective
Leffective =Linput DL
Weffective =Winput DW
V
V
V
cm2/V·sec
µm
µm
1
/V
µ
/V
cm2/V2·sec
1
/V
Vds =Vdd
1
/V
1
/V2
µm
/V2
Vds =Vdd cm2/V2sec
Vds =Vdd cm2/V2sec
Vds =Vdd cm2/V2sec
µm
/V2
µm
C
V
F/m
F/m
F/m
/
A
/m2
V
V
F/m2
F/m
m
m
µm
±
±
± ±
N(s)=0.139713 · { s2+0.7464102
s2+0.998942s+0.00117077 }
N(s)=0.139713 · { 1.0
s2+1.09773s+1.10251 }
µs
φ
φ
2P=N
C
C
µV
µm
µm
F1
2F1F1
cos(2π(2F1)t) 2F1cos(2π(3F1)t) 3F1
cos(2πF1t) 2F1
3F1
F1
F1F2F1
F2F1
F1F2
F1
F2
F1+F2F1F2(2F1)F2F1
A
/BA B B
A < B < 1
F1+F2F1F2
2F1F2F1F2=F2F1F2
F2F1+F2= 2F1F2
F1F2= 51/100 F1<> 49/100 F1=F2
F2F1F2
nF1+mF2
V2/Hz A2/Hz V2A2
− −
− −
− −
− −
− −
− −
ω
π
e
cm
/sec
C
J/K
− −
− −
− −
− −
− −
− −
− −
− −
− −
− −
− −
− −
− −
− −
− −
C=f(V)
− −
− −
− −
− −
− −
− −
− −
− − −
− −
− −
− −
− −
− −
− − −
− −
− −
− −
− −
− −
− −
− −
− −
− −
− −
±
− −
− −
− −
− −
− −
µm
µm
µm
µm
C/cm2
cm
/s
cm
/s
µm
µm µm ˙
A µm
µm
µm
µm
µm
− −
1µm
µm
µm
µm
µm
cm3
µm
µm
1.0×1016cm3
X= 1µm X = 3µm
Y= 0µm
µm
µm
µm
µm
F/cm
cm3
cm3
eV/K
eV/cm3
cm3
eV/cm3
cm3
cm3)
cm3)
cm6/sec
cm6/sec
A
/cm2
K2
A
/cm2
K2

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