The document describes a simulation of an NMOS transistor. It defines the mesh, regions, doping concentrations, materials, and electrical contacts. Initial results are plotted including potential, electric field, and carrier concentrations to analyze the transistor behavior. The gate voltage is then swept to model transistor operation and output current-voltage characteristics.

1. MOSFET Simulation
Date and time = 02/16/12 00:49:46
1... title MOSFET - NMOS
2... MESH RECT NX=53 NY=46 NZ=1 WIDTH=1
3... X.M N=1 LOC=0
4... X.M N=15 LOC=0.05 RATIO=0.8
5... X.M N=27 LOC=0.1 RATIO=1.7103513811
6... X.M N=38 LOC=0.15 RATIO=0.8
7... X.M N=53 LOC=0.2 RATIO=1.2
8... Y.M N=1 LOC=0
9... Y.M N=10 LOC=0.05 RATIO=1
10... Y.M N=26 LOC=0.062 RATIO=0.874956927811
11... Y.M N=41 LOC=0.07 r=0.7
12... Y.M N=46 LOC=0.072 RATIO=1.25
13... # Substrate
14... REGION NUM=1 ix.l=1 ix.h=53 iy.l=1 iy.h=10 silicon
15... # Source
16... REGION NUM=2 ix.l=1 ix.h=15 iy.l=10 iy.h=41 silicon
17... # Drain
18... REGION NUM=3 ix.l=38 ix.h=53 iy.l=10 iy.h=41 silicon
19... # Channel
20... REGION NUM=4 ix.l=15 ix.h=38 iy.l=10 iy.h=41 silicon
21... # Gate Oxide
22... REGION NUM=5 ix.l=15 ix.h=38 iy.l=41 iy.h=46 oxide
23... # Fillers
24... REGION NUM=6 ix.l=1 ix.h=15 iy.l=41 iy.h=46 oxide
25... REGION NUM=7 ix.l=38 ix.h=53 iy.l=41 iy.h=46 oxide
26... ELECT NUM=1 x.min=0 x.max=0.05 y.min=0.07 y.max=0.07

2. 27... ELECT NUM=2 x.min=0.15 x.max=0.2 y.min=0.07 y.max=0.07
28... ELECT NUM=3 x.min=0.05 x.max=0.15 y.min=0.072 y.max=0.072
29... ELECT NUM=4 x.min=0 x.max=0.2 y.min=0 y.max=0
30... dop region=1 unif conc=5e+16 p.type
31... dop region=2,3 unif conc=2e+20 n.type
32... dop region=4 unif conc=1e+18 p.type
33... plot.3d doping outfile=pdr512.doping
34... contact num=3 n.polysilicon
35... $ Material specification
36... material name=silicon eg300=1.12 permi=11.8
37... MODELS TEMP=300 conmob gatmob fldmob print
38... SYSTEM NEWTON CARR=1 ELECTRONS
39... solve init outfile=pdr512.initsol
40... PLOT.3D POTEN ELECT OUTFILE=pdr512.equ
41... plot.3d QFN outf=pdr512.qfn_ini
42... plot.3d QFP outf=pdr512.qfp_ini
43... plot.3d PO outf=pdr512.po_ini
44... plot.3d DO outf=pdr512.do_ini
45... plot.3d EL outf=pdr512.el_ini
46... plot.3d H outf=pdr512.hh_ini
47... plot.3d E.field outf=pdr512.e_ini
48... plot.1d poten a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.poten_1d_ini
49... plot.1d e.field a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.e_1d_ini
50... plot.1d qfn a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.qfn_1d_ini
51... plot.1d qfp a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.qfp_1d_ini
52... plot.1d do a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.do_1d_ini
53... plot.1d el a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.el_1d_ini
54... plot.1d h a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.h_1d_ini
55... plot.1d j.electr a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.je_1d_ini
56... plot.1d j.hole a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.jh_1d_ini
57... plot.1d poten a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.poten_1dy_in
58... plot.1d e.field a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.e_1dy_ini
59... plot.1d qfn a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.qfn_1dy_ini

3. 60... plot.1d qfp a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.qfp_1dy_ini
61... plot.1d do a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.do_1dy_ini
62... plot.1d el a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.el_1dy_ini
63... plot.1d h a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.h_1dy_ini
64... plot.1d j.electr a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.je_1dy_ini
65... plot.1d j.hole a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.jh_1dy_ini
66... solve v2=0 vstep=0.05 nsteps=1 elect=2
67... solve v2=0.05 outfile=pdr512.vdn0
68... solve v2=0.05 vstep=0.0958333333333 nsteps=12 elect=2
69... solve v2=1.2 outfile=pdr512.vdn1
70... load infile=pdr512.vdn0
71... log outfile=pdr512.idvg0
72... solve v3=-0.1 elect=3
73... solve v3=-0.0133333333333 elect=3
74... solve v3=0.0733333333334 elect=3
75... solve v3=0.16 elect=3
76... solve v3=0.246666666667 elect=3
77... solve v3=0.333333333334 elect=3
78... solve v3=0.42 elect=3
79... solve v3=0.506666666667 elect=3
80... solve v3=0.593333333334 elect=3
81... solve v3=0.68 elect=3
82... solve v3=0.766666666667 elect=3
83... solve v3=0.853333333334 elect=3
84... solve v3=0.94 elect=3
85... solve v3=1.02666666667 elect=3
86... solve v3=1.11333333333 elect=3
87... solve v3=1.2 elect=3
88... log off
89... load infile=pdr512.vdn1
90... log outfile=pdr512.idvg1
91... solve v3=-0.1 elect=3
92... solve v3=-0.0133333333333 elect=3
93... solve v3=0.0733333333334 elect=3

4. 94... solve v3=0.16 elect=3
95... solve v3=0.246666666667 elect=3
96... solve v3=0.333333333334 elect=3
97... solve v3=0.42 elect=3
98... solve v3=0.506666666667 elect=3
99... solve v3=0.593333333334 elect=3
100... solve v3=0.68 elect=3
101... solve v3=0.766666666667 elect=3
102... solve v3=0.853333333334 elect=3
103... solve v3=0.94 elect=3
104... solve v3=1.02666666667 elect=3
105... solve v3=1.11333333333 elect=3
106... solve v3=1.2 elect=3
107... log off
108... plot.3d pot elect outf=pdr512.ftc
109... plot.3d QFN outf=pdr512.qfn
110... plot.3d QFP outf=pdr512.qfp
111... plot.3d PO outf=pdr512.po
112... plot.3d DO outf=pdr512.do
113... plot.3d EL outf=pdr512.el
114... plot.3d H outf=pdr512.hh
115... plot.3d E.field outf=pdr512.e
116... plot.1d poten a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.poten_1d
117... plot.1d e.field a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.e_1d
118... plot.1d qfn a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.qfn_1d
119... plot.1d qfp a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.qfp_1d
120... plot.1d el a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.el_1d
121... plot.1d h a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.h_1d
122... plot.1d j.electr a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.je_1d
123... plot.1d j.hole a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.jh_1d
124... plot.1d do a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.do_1dy
125... plot.1d poten a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.poten_1dy
126... plot.1d e.field a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.e_1dy
127... plot.1d qfn a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.qfn_1dy
128... plot.1d qfp a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.qfp_1dy
129... plot.1d el a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.el_1dy

5. 130... plot.1d h a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.h_1dy
131... plot.1d j.electr a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.je_1dy
132... plot.1d j.hole a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.jh_1dy
133... END
*************
MOSFET - NMOS
*************
Mesh statistics :
Total grid points = 2438
Total no. of elements = 4680
Min grid spacing (um) = 1.6355E-05
Max grid spacing (um) = 2.1529E-02 (r= 1.3163E+03)
Obtuse elements = 0 ( 0.0%)
** Warning in line # 33
Electrode # 1 contacts both sides of a junction or semi/ins boundary
** Warning in line # 33
Electrode # 2 contacts both sides of a junction or semi/ins boundary
3D plot written to pdr512.doping
Function # 1: Doping
Region = 1 silicon ie1,ie2 = 1 936
Region = 2 silicon ie1,ie2 = 937 1804
Region = 3 silicon ie1,ie2 = 1805 2734

6. Region = 4 silicon ie1,ie2 = 2735 4160
Region = 5 sio2 ie1,ie2 = 4161 4390
Region = 6 sio2 ie1,ie2 = 4391 4530
Region = 7 sio2 ie1,ie2 = 4531 4680
Material Definitions
Index Name Regions
1 silicon 1,2,3,4
2 sio2 5,6,7
Constants :
Boltzmanns k = 8.61700E-05
charge = 1.60200E-19
permittivity = 8.85400E-14
electron mass= 9.10950E-31
Ambient temperature = 300.000
Thermal voltage = 0.025851
Material data
num r-perm Egap Affinity Ec offset Bulk qf k-therm Gen con
1 11.80 1.1200E+00 4.1700E+00 0.0000E+00 0.0000E+00 1.4500E+00
4.0000E+13
2 3.90 9.0000E+00 9.0000E-01 -3.2700E+00 0.0000E+00 2.5000E-01 0.0000E+00
Semiconductor data
num stats ni An** Ap** Nc Nv
1 Boltz 9.963E+09 1.100E+02 3.000E+01 3.200E+19 2.030E+19
num gcb edb gcv eab w2d H-alphn
H-alphp
1 2.000E+00 5.000E-02 4.000E+00 4.500E-02 1.000E-03 3.000E-05

7. 2.000E-07
Model flags :
Incomp. ionization = F
Band-gap narrowing = F
SRH recombination =F
Conc-dep lifetime =F
Auger recombination = F
Deep level traps =F
Radiative recomb =F
Impact ionization =F
Band-to-band tunnel = F
Trap-assist tunnel =F
Stimulated emission = F
Carrier-carr. scat. = F
Neutral imp. scat. = F
Ion-impurity scat. = T
Field dep. mobil =T
Gate fld dep mobil = T
Field dep. diff =F
Thermoelectric curr = T
ET ebal formulation = F
Model Types:
mat # II-scat CC-scat Fld mob Vsat Gate mob
1 n Analytic Dorkel Caughey Exponent SGS
p Analytic Dorkel Caughey Power SGS
mat # D(E) Energy Ce(T) BGN

8. 1 n Lincut Const. P Slotboom
p Lincut Const. P Slotboom
Driving forces :
Mobility, parallel field = qfb
Mobility, gate field = exj
Diffusivity = qfb
Impact ionization = eoj
Default low-field mobilities/relax-times, vsat, w-kappa
mat # mobl0 tauw vsat(T0) kappa
1 n 1390. 2.0000E-13 1.0349E+07 1.500
p 470.0 2.0000E-13 8.3700E+06 1.500
Velocity saturation coefficients
mat # coef 1 coef 2 coef 3 coef 4 coef 5
1 n 2.400E+07 0.800 0.500 0.00 0.00
p 8.370E+06 0.800 -0.520 0.00 0.00
Lattice scat. mobility coefficients
mat # coef 1 coef 2 coef 3 coef 4 coef 5
1 n 1.390E+03 -2.30 0.00 0.00 0.00
p 470. -2.20 0.00 0.00 0.00
Ion-impurity mobility coefficients
mat # coef 1 coef 2 coef 3 coef 4 coef 5
1 n 55.2 1.072E+17 0.733 -2.55 -0.570
p 49.7 1.606E+17 0.700 -2.55 -0.570
Field mobility coefficients

9. mat # coef 1 coef 2 coef 3 coef 4 coef 5
1 n 2.00 0.00 0.00 0.00 0.00
p 1.00 0.00 0.00 0.00 0.00
Field mobility coefficients (cont.)
mat # coef 6 coef 7 coef 8 coef 9 coef 10
1 n 0.00 0.00 0.00 0.00 0.00
p 0.00 0.00 0.00 0.00 0.00
Gate mobility coefficients
mat # coef 1 coef 2 coef 3 coef 4 coef 5
1 n 4.750E+07 1.740E+05 0.125 5.820E+14 0.00
p 9.930E+06 8.840E+05 3.170E-02 2.050E+14 0.00
Gate mobility coefficients (cont.)
mat # coef 6 coef 7 coef 8 coef 9 coef 10
1 n 0.00 0.00 0.00 0.00 0.00
p 0.00 0.00 0.00 0.00 0.00
Energy relaxation coefficients
mat # coef 1 coef 2 coef 3 coef 4 coef 5
1 n 1.00 0.00 0.00 0.00 0.00
p 1.00 0.00 0.00 0.00 0.00
Energy relaxation coefficients (cont.)
mat # coef 6 coef 7 coef 8 coef 9 coef 10
1 n 0.00 0.00 0.00 0.00 0.00
p 0.00 0.00 0.00 0.00 0.00
Misc energy trans coefficients

10. mat # coef 1 coef 2 coef 3 coef 4 coef 5
1 n 0.00 0.00 0.00 0.00 0.00
p 0.00 0.00 0.00 0.00 0.00
Contacts :
Num Work fn. Vsurfn Vsurfp
1 0.000
2 0.000
3 4.170
4 0.000
Solution for bias:
V1 = 0.0000000E+00 V2 = 0.0000000E+00
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Initial solution
o-itr i-itr psi-error n-error
1 0 7.5034E-01 R( 0)
1 1 4.9413E+01 U( 1)
1 1 2.0207E-02 R( 1)
1 2% 2.1969E+01 U( 6)
1 2% 8.6385E-03 R( 1)
1 3 1.2473E+01 U( 1)
1 3 2.1712E-03 R( 1)
1 4 4.9176E+00 U( 1)
1 4 3.1402E-05 R( 1)

11. 1 5* 1.4382E-02 U( 4)
1 5* 4.5834E-08 R( 1)
1 6* 2.0050E-05 U( 4)
1 6* 1.5706E-13 R( 1)
1 7* 9.3140E-11 U( 4)
1 7* 1.7620E-15 R( 1)
1 0 9.0000E-01 R( 0)
1 1 5.4840E-15 U( 1)
1 1 5.0528E-01 R( 1)
2 0 4.4348E-14 R( 0)
2 1 4.0255E-15 U( 1)
2 1 4.2979E-14 R( 1)
2 0 9.0839E-01 R( 0)
2 1 4.1710E-15 U( 1)
2 1 3.6780E-01 R( 1)
1 0 1.0307E-13 3.8217E-15 R( 0)
1 1 2.2632E-15 2.1717E-15 U( 1)
1 1 7.5139E-14 7.9753E-14 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -2.48510E-16 0.00000E+00 -2.48510E-16
2 0.0000 1.05670E-15 0.00000E+00 1.05670E-15
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -9.44081E-33 0.00000E+00 -9.44081E-33
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.32847E-17 0.00000E+00 -2.48510E-16
2 -1.16057E-16 0.00000E+00 1.05670E-15
3 3.26245E-16 0.00000E+00 0.00000E+00
4 -2.72337E-16 0.00000E+00 -9.44081E-33
Convergence criterion completely met
Total cpu time for Newton equation assembly = 0.5667
Total cpu time for Newton linear solves = 0.9000 ( 0.9000)

12. Total cpu time for bias point = 1.4667
Total cpu time = 1.7667
Solution written to pdr512.initsol
3D plot written to pdr512.equ
Function # 1: Potential
Function # 2: Electron density
Region = 1 silicon ie1,ie2 = 1 936
Region = 2 silicon ie1,ie2 = 937 1804
Region = 3 silicon ie1,ie2 = 1805 2734
Region = 4 silicon ie1,ie2 = 2735 4160
Region = 5 sio2 ie1,ie2 = 4161 4390
Region = 6 sio2 ie1,ie2 = 4391 4530
Region = 7 sio2 ie1,ie2 = 4531 4680
3D plot written to pdr512.qfn_ini
Function # 1: Electron qf level
Region = 1 silicon ie1,ie2 = 1 936
Region = 2 silicon ie1,ie2 = 937 1804
Region = 3 silicon ie1,ie2 = 1805 2734
Region = 4 silicon ie1,ie2 = 2735 4160
Region = 5 sio2 ie1,ie2 = 4161 4390
Region = 6 sio2 ie1,ie2 = 4391 4530
Region = 7 sio2 ie1,ie2 = 4531 4680
3D plot written to pdr512.qfp_ini
Function # 1: Hole qf level

13. Region = 1 silicon ie1,ie2 = 1 936
Region = 2 silicon ie1,ie2 = 937 1804
Region = 3 silicon ie1,ie2 = 1805 2734
Region = 4 silicon ie1,ie2 = 2735 4160
Region = 5 sio2 ie1,ie2 = 4161 4390
Region = 6 sio2 ie1,ie2 = 4391 4530
Region = 7 sio2 ie1,ie2 = 4531 4680
3D plot written to pdr512.po_ini
Function # 1: Potential
Region = 1 silicon ie1,ie2 = 1 936
Region = 2 silicon ie1,ie2 = 937 1804
Region = 3 silicon ie1,ie2 = 1805 2734
Region = 4 silicon ie1,ie2 = 2735 4160
Region = 5 sio2 ie1,ie2 = 4161 4390
Region = 6 sio2 ie1,ie2 = 4391 4530
Region = 7 sio2 ie1,ie2 = 4531 4680
3D plot written to pdr512.do_ini
Function # 1: Doping
Region = 1 silicon ie1,ie2 = 1 936
Region = 2 silicon ie1,ie2 = 937 1804
Region = 3 silicon ie1,ie2 = 1805 2734
Region = 4 silicon ie1,ie2 = 2735 4160
Region = 5 sio2 ie1,ie2 = 4161 4390
Region = 6 sio2 ie1,ie2 = 4391 4530
Region = 7 sio2 ie1,ie2 = 4531 4680
3D plot written to pdr512.el_ini

14. Function # 1: Electron density
Region = 1 silicon ie1,ie2 = 1 936
Region = 2 silicon ie1,ie2 = 937 1804
Region = 3 silicon ie1,ie2 = 1805 2734
Region = 4 silicon ie1,ie2 = 2735 4160
Region = 5 sio2 ie1,ie2 = 4161 4390
Region = 6 sio2 ie1,ie2 = 4391 4530
Region = 7 sio2 ie1,ie2 = 4531 4680
3D plot written to pdr512.hh_ini
Function # 1: Hole density
Region = 1 silicon ie1,ie2 = 1 936
Region = 2 silicon ie1,ie2 = 937 1804
Region = 3 silicon ie1,ie2 = 1805 2734
Region = 4 silicon ie1,ie2 = 2735 4160
Region = 5 sio2 ie1,ie2 = 4161 4390
Region = 6 sio2 ie1,ie2 = 4391 4530
Region = 7 sio2 ie1,ie2 = 4531 4680
3D plot written to pdr512.e_ini
Function # 1: Electric field
Region = 1 silicon ie1,ie2 = 1 936
Region = 2 silicon ie1,ie2 = 937 1804
Region = 3 silicon ie1,ie2 = 1805 2734
Region = 4 silicon ie1,ie2 = 2735 4160
Region = 5 sio2 ie1,ie2 = 4161 4390
Region = 6 sio2 ie1,ie2 = 4391 4530
Region = 7 sio2 ie1,ie2 = 4531 4680

15. Solution for bias:
V1 = 0.0000000E+00 V2 = 0.0000000E+00
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 3.1263E-14 R( 0)
1 1 2.5761E-15 U( 1)
1 1 4.1949E-14 R( 1)
1 0 9.6671E-01 R( 0)
1 1 4.0940E-15 U( 1)
1 1 4.5751E-02 R( 1)
2 0 4.4881E-14 R( 0)
2 1 2.1306E-15 U( 1)
2 1 3.7030E-14 R( 1)
2 0 9.0869E-01 R( 0)
2 1 3.8633E-15 U( 1)
2 1 3.6645E-01 R( 1)
1 0 8.8600E-14 3.8189E-15 R( 0)
1 1 2.1399E-15 2.0760E-15 U( 1)
1 1 7.8707E-14 7.9640E-14 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -2.48510E-16 0.00000E+00 -2.48510E-16
2 0.0000 1.05670E-15 0.00000E+00 1.05670E-15
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -8.95213E-33 0.00000E+00 -8.95213E-33
Electrode Flux Displacement Current Total Current

16. (Coul) (Amps) (Amps)
1 -8.32847E-17 0.00000E+00 -2.48510E-16
2 -1.16057E-16 0.00000E+00 1.05670E-15
3 3.26245E-16 0.00000E+00 0.00000E+00
4 -2.72337E-16 0.00000E+00 -8.95213E-33
Convergence criterion completely met
Total cpu time for Newton equation assembly = 0.5000
Total cpu time for Newton linear solves = 0.7333 ( 0.7333)
Total cpu time for bias point = 1.2333
Total cpu time = 3.7000
Solution for bias:
V1 = 0.0000000E+00 V2 = 5.0000000E-02
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9939E-01 R( 0)
1 1 1.9342E+00 U( 1)
1 1 1.1665E-02 R( 1)
1 2* 1.7522E-01 U( 4)
1 2* 3.2784E-04 R( 1)
1 3% 7.8349E-03 U( 4)
1 3% 4.8554E-07 R( 1)
1 4* 1.4930E-05 U( 2)
1 4* 1.2496E-12 R( 1)
1 5* 6.9012E-11 U( 2)
1 5* 1.8117E-15 R( 1)
1 0 7.0711E-01 R( 0)
1 1 8.5545E-01 U( 1)

17. 1 1 4.5990E-06 R( 1)
2 0 9.8144E-01 R( 0)
2 1 5.9182E+00 U( 1)
2 1 3.1565E-01 R( 3)
2 2 1.0181E+00 U( 1)
2 2 3.8141E-02 R( 1)
2 3 1.5953E-01 U( 1)
2 3 1.3813E-03 R( 1)
2 4* 1.1282E-02 U( 3)
2 4* 4.5988E-06 R( 1)
2 5% 4.6864E-05 U( 3)
2 5% 5.7171E-11 R( 1)
2 6* 7.4927E-10 U( 2)
2 6* 6.1480E-15 R( 1)
2 0 7.0480E-01 R( 0)
2 1 7.8791E-02 U( 1)
2 1 1.1220E-04 R( 1)
1 0 5.3672E-05 1.6632E-09 R( 0)
1 1 1.6940E-04 2.1550E-02 U( 1)
1 1 1.3184E-13 2.1659E-11 R( 1)
1 2% 3.5915E-10 3.5233E-04 U( 6)
1 2% 1.0583E-13 1.6653E-13 R( 1)
1 3* 6.3405E-15 1.1456E-06 U( 4)
1 3* 1.0909E-13 1.6872E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -1.57556E-08 0.00000E+00 -1.57556E-08
2 0.0500 1.57556E-08 0.00000E+00 1.57556E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -2.88043E-18 0.00000E+00 -2.88043E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.32863E-17 0.00000E+00 -1.57556E-08
2 -1.13339E-16 0.00000E+00 1.57556E-08

18. 3 3.17020E-16 0.00000E+00 0.00000E+00
4 -2.79927E-16 0.00000E+00 -2.88043E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 0.8333
Total cpu time for Newton linear solves = 1.5667 ( 1.5667)
Total cpu time for bias point = 2.4667
Total cpu time = 6.1667
Solution for bias:
V1 = 0.0000000E+00 V2 = 5.0000000E-02
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 4.5580E-14 R( 0)
1 1 2.0989E-15 U( 1)
1 1 4.3451E-14 R( 1)
1 0 2.3393E-06 R( 0)
1 1 9.2516E-08 U( 1)
1 1 1.5212E-07 R( 1)
2 0 4.7330E-14 R( 0)
2 1 2.4810E-15 U( 1)
2 1 4.7114E-14 R( 1)
2 0 3.0448E-07 R( 0)
2 1 1.3192E-07 U( 1)
2 1 1.5015E-07 R( 1)
1 0 1.1293E-13 1.0678E-14 R( 0)
1 1 1.9754E-15 2.8687E-07 U( 1)
1 1 1.0832E-13 1.7046E-13 R( 1)

19. Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -1.57556E-08 0.00000E+00 -1.57556E-08
2 0.0500 1.57556E-08 0.00000E+00 1.57556E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -2.88043E-18 0.00000E+00 -2.88043E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.32863E-17 0.00000E+00 -1.57556E-08
2 -1.13339E-16 0.00000E+00 1.57556E-08
3 3.17020E-16 0.00000E+00 0.00000E+00
4 -2.79927E-16 0.00000E+00 -2.88043E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 0.4667
Total cpu time for Newton linear solves = 0.7000 ( 0.7000)
Total cpu time for bias point = 1.1667
Total cpu time = 7.3333
Solution written to pdr512.vdn0
Solution for bias:
V1 = 0.0000000E+00 V2 = 5.0000000E-02
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 4.5260E-14 R( 0)
1 1 2.3208E-15 U( 1)
1 1 4.5660E-14 R( 1)
1 0 2.3570E-06 R( 0)

20. 1 1 2.1712E-09 U( 1)
1 1 1.5204E-07 R( 1)
2 0 4.9414E-14 R( 0)
2 1 2.4337E-15 U( 1)
2 1 4.8391E-14 R( 1)
2 0 3.0388E-07 R( 0)
2 1 2.5656E-09 U( 1)
2 1 1.5016E-07 R( 1)
1 0 1.1580E-13 1.0679E-14 R( 0)
1 1 2.2919E-15 6.3629E-09 U( 1)
1 1 1.0740E-13 1.7044E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -1.57556E-08 0.00000E+00 -1.57556E-08
2 0.0500 1.57556E-08 0.00000E+00 1.57556E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -2.88043E-18 0.00000E+00 -2.88043E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.32863E-17 0.00000E+00 -1.57556E-08
2 -1.13339E-16 0.00000E+00 1.57556E-08
3 3.17020E-16 0.00000E+00 0.00000E+00
4 -2.79927E-16 0.00000E+00 -2.88043E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 0.5333
Total cpu time for Newton linear solves = 0.6333 ( 0.6333)
Total cpu time for bias point = 1.2000
Total cpu time = 8.6000
Solution for bias:

21. V1 = 0.0000000E+00 V2 = 1.4583333E-01
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9953E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2408E-02 R( 1)
1 2* 5.5361E-01 U( 5)
1 2* 4.9142E-03 R( 1)
1 3 1.2992E-01 U( 1)
1 3 1.2910E-04 R( 1)
1 4* 4.8636E-03 U( 2)
1 4* 1.1336E-07 R( 1)
1 5* 8.4107E-06 U( 3)
1 5* 1.3070E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 3.0684E-06 R( 1)
2 0 9.2835E-01 R( 0)
2 1 3.9688E+01 U( 1)
2 1 8.2165E-01 R( 4)
2 2 9.7452E+00 U( 1)
2 2 3.3005E-01 R( 1)
2 3 1.0812E+00 U( 1)
2 3 7.2710E-02 R( 1)
2 4 2.6165E-01 U( 1)
2 4 6.5005E-03 R( 1)
2 5% 3.8000E-02 U( 3)
2 5% 8.0347E-05 R( 1)
2 6* 6.8319E-04 U( 2)
2 6* 1.3459E-08 R( 1)
2 7* 2.3991E-07 U( 3)
2 7* 5.3632E-15 R( 1)

22. 2 0 7.0626E-01 R( 0)
2 1 4.1984E-01 U( 1)
2 1 2.7443E-04 R( 1)
1 0 3.3395E-04 9.5011E-09 R( 0)
1 1 3.4813E-04 5.3445E-01 U( 1)
1 1 1.3629E-13 4.0286E-10 R( 1)
1 2* 8.7186E-07 3.3425E-02 U( 5)
1 2* 1.3598E-13 3.4546E-13 R( 1)
1 3* 1.0826E-09 1.8376E-03 U( 5)
1 3* 1.3983E-13 2.2223E-13 R( 1)
1 4* 4.3238E-15 5.0442E-06 U( 3)
1 4* 1.5528E-13 2.2004E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -2.01919E-08 0.00000E+00 -2.01919E-08
2 0.1458 2.01919E-08 0.00000E+00 2.01919E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.24455E-18 0.00000E+00 -3.24455E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.32893E-17 0.00000E+00 -2.01919E-08
2 -1.08076E-16 0.00000E+00 2.01919E-08
3 2.99909E-16 0.00000E+00 0.00000E+00
4 -2.94354E-16 0.00000E+00 -3.24455E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 1.0000
Total cpu time for Newton linear solves = 1.1000 ( 1.1000)
Total cpu time for bias point = 2.1000
Total cpu time = 10.7000

23. Solution for bias:
V1 = 0.0000000E+00 V2 = 2.4166667E-01
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9952E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2407E-02 R( 1)
1 2* 5.5395E-01 U( 5)
1 2* 4.9141E-03 R( 1)
1 3 1.3019E-01 U( 1)
1 3 1.2910E-04 R( 1)
1 4* 4.8838E-03 U( 2)
1 4* 1.1335E-07 R( 1)
1 5* 8.5051E-06 U( 3)
1 5* 1.3217E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 3.3854E-06 R( 1)
2 0 9.2833E-01 R( 0)
2 1 3.9688E+01 U( 1)
2 1 8.1868E-01 R( 4)
2 2 9.6220E+00 U( 1)
2 2 3.2445E-01 R( 1)
2 3 1.0654E+00 U( 1)
2 3 7.1495E-02 R( 1)
2 4 2.6226E-01 U( 1)
2 4 6.4275E-03 R( 1)
2 5% 3.7803E-02 U( 3)
2 5% 7.9358E-05 R( 1)
2 6* 6.7330E-04 U( 2)
2 6* 1.3199E-08 R( 1)
2 7* 2.3196E-07 U( 3)

24. 2 7* 6.2440E-15 R( 1)
2 0 7.0629E-01 R( 0)
2 1 9.6697E-01 U( 1)
2 1 9.7490E-04 R( 1)
1 0 3.7004E-04 3.7248E-08 R( 0)
1 1 2.3933E-04 6.3838E-01 U( 1)
1 1 1.5947E-13 3.0545E-09 R( 1)
1 2% 3.3796E-06 6.4806E-02 U( 6)
1 2% 1.6521E-13 3.8267E-11 R( 1)
1 3* 9.2152E-09 1.2624E-03 U( 3)
1 3* 1.2891E-13 2.2710E-13 R( 1)
1 4* 7.5967E-13 6.4185E-07 U( 2)
1 4* 1.3817E-13 2.3675E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -2.30142E-08 0.00000E+00 -2.30142E-08
2 0.2417 2.30142E-08 0.00000E+00 2.30142E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.29211E-18 0.00000E+00 -3.29211E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.32922E-17 0.00000E+00 -2.30142E-08
2 -1.02772E-16 0.00000E+00 2.30142E-08
3 2.83001E-16 0.00000E+00 0.00000E+00
4 -3.08662E-16 0.00000E+00 -3.29211E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 1.0333
Total cpu time for Newton linear solves = 1.6000 ( 1.6000)
Total cpu time for bias point = 2.6333
Total cpu time = 13.3333

25. Solution for bias:
V1 = 0.0000000E+00 V2 = 3.3750000E-01
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9951E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2406E-02 R( 1)
1 2* 5.5430E-01 U( 5)
1 2* 4.9140E-03 R( 1)
1 3 1.3047E-01 U( 1)
1 3 1.2910E-04 R( 1)
1 4* 4.9047E-03 U( 2)
1 4* 1.1334E-07 R( 1)
1 5* 8.6028E-06 U( 3)
1 5* 1.3394E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 3.8422E-06 R( 1)
2 0 9.2830E-01 R( 0)
2 1 3.9688E+01 U( 1)
2 1 8.1593E-01 R( 4)
2 2 9.5119E+00 U( 1)
2 2 3.1958E-01 R( 1)
2 3 1.0515E+00 U( 1)
2 3 7.0461E-02 R( 1)
2 4 2.6478E-01 U( 1)
2 4 6.3633E-03 R( 1)
2 5% 3.7589E-02 U( 3)
2 5% 7.8490E-05 R( 1)
2 6* 6.6377E-04 U( 2)
2 6* 1.2987E-08 R( 1)

26. 2 7* 2.2504E-07 U( 3)
2 7* 6.2271E-15 R( 1)
2 0 7.0635E-01 R( 0)
2 1 6.4740E-01 U( 1)
2 1 1.9337E-03 R( 1)
1 0 4.2251E-04 8.3868E-08 R( 0)
1 1 3.4789E-04 3.9898E-01 U( 1)
1 1 1.7119E-13 2.0323E-08 R( 1)
1 2% 3.6662E-06 3.4554E-02 U( 6)
1 2% 1.5349E-13 7.9863E-10 R( 1)
1 3* 3.4357E-08 1.1356E-03 U( 5)
1 3* 1.4942E-13 1.2831E-12 R( 1)
1 4* 4.9894E-11 1.9411E-06 U( 5)
1 4* 1.5295E-13 2.9375E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -2.59934E-08 0.00000E+00 -2.59934E-08
2 0.3375 2.59934E-08 0.00000E+00 2.59934E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.33266E-18 0.00000E+00 -3.33266E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.32951E-17 0.00000E+00 -2.59934E-08
2 -9.74412E-17 0.00000E+00 2.59934E-08
3 2.66180E-16 0.00000E+00 0.00000E+00
4 -3.22870E-16 0.00000E+00 -3.33266E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 1.0667
Total cpu time for Newton linear solves = 1.6000 ( 1.6000)
Total cpu time for bias point = 2.7333
Total cpu time = 16.0667

27. Solution for bias:
V1 = 0.0000000E+00 V2 = 4.3333333E-01
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9950E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2405E-02 R( 1)
1 2* 5.5466E-01 U( 5)
1 2* 4.9140E-03 R( 1)
1 3 1.3076E-01 U( 1)
1 3 1.2910E-04 R( 1)
1 4* 4.9261E-03 U( 2)
1 4* 1.1334E-07 R( 1)
1 5* 8.7036E-06 U( 3)
1 5* 1.3583E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 4.3293E-06 R( 1)
2 0 9.2826E-01 R( 0)
2 1 3.9688E+01 U( 1)
2 1 8.1335E-01 R( 4)
2 2 9.4123E+00 U( 1)
2 2 3.1531E-01 R( 1)
2 3 1.0391E+00 U( 1)
2 3 6.9568E-02 R( 1)
2 4 2.6701E-01 U( 1)
2 4 6.3065E-03 R( 1)
2 5% 3.8102E-02 U( 3)
2 5% 7.7729E-05 R( 1)
2 6* 6.5474E-04 U( 2)

28. 2 6* 1.2813E-08 R( 1)
2 7* 2.1904E-07 U( 3)
2 7* 7.1722E-15 R( 1)
2 0 7.0642E-01 R( 0)
2 1 6.2908E-01 U( 1)
2 1 2.2765E-03 R( 1)
1 0 4.8270E-04 1.1128E-07 R( 0)
1 1 5.7975E-04 3.6119E-01 U( 1)
1 1 1.9039E-13 4.3433E-08 R( 1)
1 2% 1.6716E-06 7.1630E-02 U( 6)
1 2% 1.5610E-13 2.1724E-09 R( 1)
1 3% 7.1360E-08 7.6785E-03 U( 6)
1 3% 1.4294E-13 1.3638E-11 R( 1)
1 4% 6.7130E-10 9.5490E-05 U( 6)
1 4% 1.5821E-13 2.6354E-13 R( 1)
1 5* 2.7238E-13 6.5886E-07 U( 3)
1 5* 1.5558E-13 2.5641E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -2.91459E-08 0.00000E+00 -2.91459E-08
2 0.4333 2.91459E-08 0.00000E+00 2.91459E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.36928E-18 0.00000E+00 -3.36928E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.32980E-17 0.00000E+00 -2.91459E-08
2 -9.20877E-17 0.00000E+00 2.91459E-08
3 2.49416E-16 0.00000E+00 0.00000E+00
4 -3.36993E-16 0.00000E+00 -3.36928E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 1.0667
Total cpu time for Newton linear solves = 2.9000 ( 2.9000)
Total cpu time for bias point = 4.0000

29. Total cpu time = 20.0667
Solution for bias:
V1 = 0.0000000E+00 V2 = 5.2916667E-01
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9949E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2405E-02 R( 1)
1 2* 5.5503E-01 U( 5)
1 2* 4.9139E-03 R( 1)
1 3 1.3105E-01 U( 1)
1 3 1.2910E-04 R( 1)
1 4* 4.9481E-03 U( 2)
1 4* 1.1333E-07 R( 1)
1 5* 8.8075E-06 U( 3)
1 5* 1.3795E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 4.8304E-06 R( 1)
2 0 9.2821E-01 R( 0)
2 1 3.9688E+01 U( 1)
2 1 8.1092E-01 R( 4)
2 2 9.3216E+00 U( 1)
2 2 3.1152E-01 R( 1)
2 3 1.0279E+00 U( 1)
2 3 6.8789E-02 R( 1)
2 4 2.6900E-01 U( 1)
2 4 6.2557E-03 R( 1)

30. 2 5% 3.8657E-02 U( 3)
2 5% 7.7060E-05 R( 1)
2 6* 6.5748E-04 U( 2)
2 6* 1.2672E-08 R( 1)
2 7* 2.1382E-07 U( 3)
2 7* 6.8541E-15 R( 1)
2 0 7.0645E-01 R( 0)
2 1 7.3348E-01 U( 1)
2 1 2.4904E-03 R( 1)
1 0 5.5486E-04 1.3586E-07 R( 0)
1 1 8.2077E-04 2.7627E-01 U( 1)
1 1 2.0298E-13 8.4184E-08 R( 1)
1 2% 1.4287E-06 6.1374E-02 U( 6)
1 2% 1.6766E-13 1.5186E-08 R( 1)
1 3% 2.6590E-07 1.5141E-02 U( 6)
1 3% 1.6450E-13 2.0255E-10 R( 1)
1 4* 4.7761E-09 7.0248E-04 U( 4)
1 4* 1.7148E-13 3.6191E-13 R( 1)
1 5* 3.9961E-12 1.3660E-06 U( 4)
1 5* 1.7226E-13 3.2914E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -3.24842E-08 0.00000E+00 -3.24842E-08
2 0.5292 3.24842E-08 0.00000E+00 3.24842E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.40343E-18 0.00000E+00 -3.40343E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.33008E-17 0.00000E+00 -3.24842E-08
2 -8.67146E-17 0.00000E+00 3.24842E-08
3 2.32696E-16 0.00000E+00 0.00000E+00
4 -3.51048E-16 0.00000E+00 -3.40343E-18
Convergence criterion completely met

31. Total cpu time for Newton equation assembly = 1.1000
Total cpu time for Newton linear solves = 2.3333 ( 2.3333)
Total cpu time for bias point = 3.4667
Total cpu time = 23.5333
Solution for bias:
V1 = 0.0000000E+00 V2 = 6.2500000E-01
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9948E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2404E-02 R( 1)
1 2* 5.5540E-01 U( 5)
1 2* 4.9138E-03 R( 1)
1 3 1.3136E-01 U( 1)
1 3 1.2910E-04 R( 1)
1 4* 4.9707E-03 U( 2)
1 4* 1.1332E-07 R( 1)
1 5* 8.9144E-06 U( 3)
1 5* 1.4025E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 5.3504E-06 R( 1)
2 0 9.2815E-01 R( 0)
2 1 3.9688E+01 U( 1)
2 1 8.0862E-01 R( 4)
2 2 9.2382E+00 U( 1)
2 2 3.0815E-01 R( 1)
2 3 1.0178E+00 U( 1)

32. 2 3 6.8102E-02 R( 1)
2 4 2.7080E-01 U( 1)
2 4 6.2102E-03 R( 1)
2 5% 3.9164E-02 U( 3)
2 5% 7.6472E-05 R( 1)
2 6* 6.7260E-04 U( 2)
2 6* 1.2559E-08 R( 1)
2 7* 2.0930E-07 U( 3)
2 7* 7.3380E-15 R( 1)
2 0 7.0649E-01 R( 0)
2 1 7.9157E-01 U( 1)
2 1 1.6974E-03 R( 1)
1 0 6.3847E-04 1.0259E-07 R( 0)
1 1 1.0655E-03 3.3846E-01 U( 1)
1 1 2.3673E-13 9.5503E-08 R( 1)
1 2% 1.1307E-06 1.7512E-01 U( 6)
1 2% 1.4539E-13 2.6388E-09 R( 1)
1 3% 7.8740E-08 1.5629E-02 U( 6)
1 3% 1.8659E-13 1.1467E-11 R( 1)
1 4% 1.0886E-10 3.7440E-04 U( 6)
1 4% 1.5576E-13 2.9426E-13 R( 1)
1 5* 6.9734E-14 6.7206E-07 U( 4)
1 5* 1.6677E-13 2.9707E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -3.60203E-08 0.00000E+00 -3.60203E-08
2 0.6250 3.60203E-08 0.00000E+00 3.60203E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.43547E-18 0.00000E+00 -3.43547E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.33037E-17 0.00000E+00 -3.60203E-08
2 -8.13238E-17 0.00000E+00 3.60203E-08
3 2.16012E-16 0.00000E+00 0.00000E+00

33. 4 -3.65048E-16 0.00000E+00 -3.43547E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 1.1667
Total cpu time for Newton linear solves = 2.8667 ( 2.8667)
Total cpu time for bias point = 4.0667
Total cpu time = 27.6000
Solution for bias:
V1 = 0.0000000E+00 V2 = 7.2083333E-01
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9947E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2403E-02 R( 1)
1 2* 5.5578E-01 U( 5)
1 2* 4.9137E-03 R( 1)
1 3 1.3166E-01 U( 1)
1 3 1.2910E-04 R( 1)
1 4* 4.9939E-03 U( 2)
1 4* 1.1332E-07 R( 1)
1 5* 9.0243E-06 U( 3)
1 5* 1.4280E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 5.8908E-06 R( 1)
2 0 9.2808E-01 R( 0)
2 1 3.9688E+01 U( 1)
2 1 8.0643E-01 R( 4)

34. 2 2 9.1611E+00 U( 1)
2 2 3.0512E-01 R( 1)
2 3 1.0086E+00 U( 1)
2 3 6.7492E-02 R( 1)
2 4 2.7245E-01 U( 1)
2 4 6.1690E-03 R( 1)
2 5% 3.9632E-02 U( 3)
2 5% 7.5953E-05 R( 1)
2 6* 6.8673E-04 U( 2)
2 6* 1.2469E-08 R( 1)
2 7* 2.1792E-07 U( 3)
2 7* 7.6221E-15 R( 1)
2 0 7.0646E-01 R( 0)
2 1 8.2475E-01 U( 1)
2 1 2.1363E-03 R( 1)
1 0 7.3544E-04 1.4218E-07 R( 0)
1 1 1.3747E-03 4.9166E-01 U( 1)
1 1 2.8072E-13 7.9276E-08 R( 1)
1 2% 2.0870E-06 2.5019E-01 U( 6)
1 2% 1.4350E-13 1.2270E-08 R( 1)
1 3% 2.5856E-07 2.2629E-01 U( 6)
1 3% 1.7614E-13 3.9113E-09 R( 1)
1 4 1.1813E-07 7.5127E-02 U( 1)
1 4 1.5919E-13 8.9417E-11 R( 1)
1 5% 4.2722E-09 2.7527E-02 U( 6)
1 5% 1.5633E-13 5.5321E-13 R( 1)
1 6% 6.9398E-12 4.9130E-03 U( 6)
1 6% 1.5465E-13 3.1591E-13 R( 1)
1 7* 6.4740E-13 4.3824E-04 U( 5)
1 7* 1.5522E-13 2.8890E-13 R( 1)
1 8* 2.8297E-14 3.1452E-06 U( 4)
1 8* 1.5716E-13 2.8871E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -3.97651E-08 0.00000E+00 -3.97651E-08

35. 2 0.7208 3.97651E-08 0.00000E+00 3.97651E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.46581E-18 0.00000E+00 -3.46581E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.33065E-17 0.00000E+00 -3.97651E-08
2 -7.59166E-17 0.00000E+00 3.97651E-08
3 1.99358E-16 0.00000E+00 0.00000E+00
4 -3.79007E-16 0.00000E+00 -3.46581E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 1.4333
Total cpu time for Newton linear solves = 4.2333 ( 4.2333)
Total cpu time for bias point = 5.7000
Total cpu time = 33.3000
Solution for bias:
V1 = 0.0000000E+00 V2 = 8.1666667E-01
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9945E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2403E-02 R( 1)
1 2* 5.5616E-01 U( 5)
1 2* 4.9137E-03 R( 1)
1 3 1.3198E-01 U( 1)
1 3 1.2910E-04 R( 1)
1 4* 5.0176E-03 U( 2)

36. 1 4* 1.1331E-07 R( 1)
1 5* 9.1375E-06 U( 3)
1 5* 1.4573E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 6.4592E-06 R( 1)
2 0 9.2801E-01 R( 0)
2 1 3.9688E+01 U( 1)
2 1 8.0434E-01 R( 4)
2 2 9.0894E+00 U( 1)
2 2 3.0240E-01 R( 1)
2 3 1.0002E+00 U( 1)
2 3 6.6945E-02 R( 1)
2 4 2.7396E-01 U( 1)
2 4 6.1317E-03 R( 1)
2 5% 4.0067E-02 U( 3)
2 5% 7.5494E-05 R( 1)
2 6* 7.0004E-04 U( 2)
2 6* 1.2399E-08 R( 1)
2 7* 2.2640E-07 U( 3)
2 7* 6.7723E-15 R( 1)
2 0 7.0647E-01 R( 0)
2 1 8.4580E-01 U( 1)
2 1 2.1320E-03 R( 1)
1 0 8.4370E-04 1.5562E-07 R( 0)
1 1 1.6917E-03 4.9383E-01 U( 1)
1 1 3.7104E-13 2.2120E-07 R( 1)
1 2% 3.6009E-06 9.2830E-01 U( 6)
1 2% 1.8486E-13 8.4069E-08 R( 1)
1 3% 3.0706E-06 4.4494E-01 U( 6)
1 3% 1.7397E-13 1.9674E-07 R( 1)
1 4 2.1482E-06 4.6965E-01 U( 1)
1 4 1.6397E-13 3.7146E-08 R( 1)
1 5 5.4991E-07 1.2458E-01 U( 1)
1 5 1.9533E-13 1.9694E-08 R( 1)
1 6 1.9624E-07 3.0811E-02 U( 1)

37. 1 6 1.8154E-13 1.6209E-09 R( 1)
1 7* 1.7573E-08 2.9115E-03 U( 3)
1 7* 1.7476E-13 1.1570E-11 R( 1)
1 8* 1.3067E-10 2.0966E-05 U( 3)
1 8* 1.8001E-13 3.1482E-13 R( 1)
1 9* 9.1571E-15 1.0349E-09 U( 2)
1 9* 1.6561E-13 3.1423E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -4.37294E-08 0.00000E+00 -4.37294E-08
2 0.8167 4.37294E-08 0.00000E+00 4.37294E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.49464E-18 0.00000E+00 -3.49464E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.33093E-17 0.00000E+00 -4.37294E-08
2 -7.04938E-17 0.00000E+00 4.37294E-08
3 1.82730E-16 0.00000E+00 0.00000E+00
4 -3.92936E-16 0.00000E+00 -3.49464E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 1.5333
Total cpu time for Newton linear solves = 4.0667 ( 4.0667)
Total cpu time for bias point = 5.6333
Total cpu time = 38.9333
Solution for bias:
V1 = 0.0000000E+00 V2 = 9.1250000E-01
V3 = 0.0000000E+00 V4 = 0.0000000E+00

38. Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9944E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2402E-02 R( 1)
1 2* 5.5656E-01 U( 5)
1 2* 4.9136E-03 R( 1)
1 3 1.3230E-01 U( 1)
1 3 1.2911E-04 R( 1)
1 4* 5.0420E-03 U( 2)
1 4* 1.1331E-07 R( 1)
1 5* 9.2539E-06 U( 3)
1 5* 1.4890E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 7.0606E-06 R( 1)
2 0 9.2793E-01 R( 0)
2 1 3.9687E+01 U( 1)
2 1 8.0234E-01 R( 4)
2 2 9.0223E+00 U( 1)
2 2 2.9992E-01 R( 1)
2 3 9.9249E-01 U( 1)
2 3 6.6453E-02 R( 1)
2 4 2.7537E-01 U( 1)
2 4 6.0976E-03 R( 1)
2 5% 4.0474E-02 U( 3)
2 5% 7.5086E-05 R( 1)
2 6* 7.1264E-04 U( 2)
2 6* 1.2345E-08 R( 1)
2 7* 2.3471E-07 U( 3)
2 7* 7.9533E-15 R( 1)
2 0 7.0655E-01 R( 0)
2 1 8.6419E-01 U( 1)
2 1 3.4912E-03 R( 1)
1 0 9.6200E-04 2.7864E-07 R( 0)

39. 1 1 2.0239E-03 4.4637E-01 U( 1)
1 1 4.4524E-13 1.5874E-07 R( 1)
1 2% 1.6490E-06 2.7662E-01 U( 6)
1 2% 1.9396E-13 1.5394E-08 R( 1)
1 3% 9.2139E-08 2.5978E-02 U( 6)
1 3% 1.7169E-13 2.3780E-10 R( 1)
1 4% 3.1124E-09 3.2524E-03 U( 6)
1 4% 1.6627E-13 1.0307E-12 R( 1)
1 5% 2.6048E-11 8.9749E-04 U( 6)
1 5% 1.7434E-13 7.1814E-13 R( 1)
1 6% 6.7086E-12 4.8040E-04 U( 6)
1 6% 1.6716E-13 4.0428E-13 R( 1)
1 7 8.3398E-12 7.9489E-04 U( 1)
1 7 1.6005E-13 1.4644E-12 R( 1)
1 8 8.7311E-12 7.9167E-04 U( 1)
1 8 1.7043E-13 4.0829E-13 R( 1)
1 9 6.4689E-12 4.5676E-04 U( 1)
1 9 1.6796E-13 6.1830E-13 R( 1)
1 10 1.7427E-11 1.5364E-03 U( 1)
1 10 1.8427E-13 7.2630E-13 R( 1)
1 11 2.2341E-11 2.5497E-03 U( 1)
1 11 1.6646E-13 3.9159E-12 R( 1)
1 12 9.6945E-12 3.2129E-03 U( 1)
1 12 1.7638E-13 1.0928E-12 R( 1)
1 13 9.2812E-12 7.1077E-04 U( 1)
1 13 1.5123E-13 4.3608E-13 R( 1)
1 14 3.0315E-12 6.7473E-04 U( 1)
1 14 1.6034E-13 3.0544E-13 R( 1)
1 15 7.6193E-14 1.6414E-05 U( 1)
1 15 1.6701E-13 3.0540E-13 R( 1)
1 16* 3.8171E-15 2.0099E-09 U( 1)
1 16* 1.6687E-13 3.0533E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -4.79235E-08 0.00000E+00 -4.79235E-08

40. 2 0.9125 4.79235E-08 0.00000E+00 4.79235E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.52210E-18 0.00000E+00 -3.52210E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.33121E-17 0.00000E+00 -4.79235E-08
2 -6.50563E-17 0.00000E+00 4.79235E-08
3 1.66123E-16 0.00000E+00 0.00000E+00
4 -4.06844E-16 0.00000E+00 -3.52210E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 2.3000
Total cpu time for Newton linear solves = 9.3667 ( 9.3667)
Total cpu time for bias point = 11.7333
Total cpu time = 50.6667
Solution for bias:
V1 = 0.0000000E+00 V2 = 1.0083333E+00
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9943E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2401E-02 R( 1)
1 2* 5.5695E-01 U( 5)
1 2* 4.9135E-03 R( 1)
1 3 1.3263E-01 U( 1)
1 3 1.2911E-04 R( 1)
1 4* 5.0670E-03 U( 2)

41. 1 4* 1.1331E-07 R( 1)
1 5* 9.3736E-06 U( 3)
1 5* 1.5223E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 7.6947E-06 R( 1)
2 0 9.2784E-01 R( 0)
2 1 3.9687E+01 U( 1)
2 1 8.0041E-01 R( 4)
2 2 8.9594E+00 U( 1)
2 2 2.9767E-01 R( 1)
2 3 9.8535E-01 U( 1)
2 3 6.6005E-02 R( 1)
2 4 2.7668E-01 U( 1)
2 4 6.0664E-03 R( 1)
2 5% 4.0856E-02 U( 3)
2 5% 7.4723E-05 R( 1)
2 6* 7.2462E-04 U( 2)
2 6* 1.2306E-08 R( 1)
2 7* 2.4285E-07 U( 3)
2 7* 7.3159E-15 R( 1)
2 0 7.0655E-01 R( 0)
2 1 8.7562E-01 U( 1)
2 1 2.4444E-03 R( 1)
1 0 1.0926E-03 2.1265E-07 R( 0)
1 1 2.3705E-03 5.8313E-01 U( 1)
1 1 5.4767E-13 4.6981E-07 R( 1)
1 2% 2.2078E-05 5.1128E+00 U( 6)
1 2% 1.6627E-13 6.4358E-07 R( 1)
1 3% 4.3509E-05 1.3944E+00 U( 6)
1 3% 1.1565E-06 1.5956E-07 R( -1)
1 4 2.6356E-05 4.4724E-01 U( 1)
1 4 1.5855E-13 8.9026E-08 R( 1)
1 5% 1.9402E-06 5.5386E-01 U( 6)
1 5% 1.7528E-13 2.9486E-08 R( 1)
1 6% 6.5135E-07 2.7487E-02 U( 6)

42. 1 6% 2.0065E-13 1.1477E-09 R( 1)
1 7% 1.2744E-08 1.1159E-03 U( 6)
1 7% 1.7664E-13 3.9130E-12 R( 1)
1 8% 1.0243E-10 7.9117E-03 U( 6)
1 8% 1.6640E-13 4.5901E-12 R( 1)
1 9% 6.7344E-11 3.4875E-03 U( 6)
1 9% 1.7981E-13 6.2308E-12 R( 1)
1 10 8.9369E-12 1.4073E-03 U( 1)
1 10 1.7408E-13 3.6757E-13 R( 1)
1 11% 1.3762E-12 5.5775E-04 U( 6)
1 11% 1.7591E-13 6.1019E-13 R( 1)
1 12 3.7334E-13 1.2621E-04 U( 1)
1 12 1.7013E-13 3.8871E-13 R( 1)
1 13 6.4737E-13 1.3951E-04 U( 1)
1 13 1.6731E-13 3.4955E-13 R( 1)
1 14 3.4341E-12 8.6616E-04 U( 1)
1 14 1.7784E-13 9.9321E-13 R( 1)
1 15 4.3337E-12 9.0192E-04 U( 1)
1 15 1.8394E-13 4.0652E-13 R( 1)
1 16 4.0365E-12 1.4231E-04 U( 1)
1 16 1.7806E-13 3.5243E-13 R( 1)
1 17 1.1725E-12 3.0465E-04 U( 1)
1 17 1.7156E-13 4.0081E-13 R( 1)
1 18 8.8589E-13 2.6993E-04 U( 1)
1 18 1.8099E-13 3.4879E-13 R( 1)
1 19 4.3456E-12 1.1510E-03 U( 1)
1 19 1.8629E-13 1.3618E-12 R( 1)
1 20 1.5453E-11 1.9361E-03 U( 1)
1 20 1.7492E-13 9.5460E-13 R( 1)
**** Convergence problem - take smaller step ****

43. Solution for bias:
V1 = 0.0000000E+00 V2 = 9.6041667E-01
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9920E-01 R( 0)
1 1 1.8536E+00 U( 1)
1 1 1.0900E-02 R( 1)
1 2* 1.6334E-01 U( 4)
1 2* 2.7856E-04 R( 1)
1 3% 6.7154E-03 U( 4)
1 3% 3.4209E-07 R( 1)
1 4* 1.0737E-05 U( 2)
1 4* 6.0096E-13 R( 1)
1 5* 3.6757E-11 U( 2)
1 5* 3.8314E-15 R( 1)
1 0 7.0711E-01 R( 0)
1 1 8.4332E-01 U( 1)
1 1 1.2093E-05 R( 1)
2 0 9.8263E-01 R( 0)
2 1 5.3826E+00 U( 1)
2 1 3.1488E-01 R( 3)
2 2 9.3992E-01 U( 1)
2 2 3.7106E-02 R( 1)
2 3 1.4215E-01 U( 1)
2 3 1.1231E-03 R( 1)
2 4* 8.8414E-03 U( 3)
2 4* 2.8101E-06 R( 1)
2 5% 2.8661E-05 U( 3)
2 5% 2.0866E-11 R( 1)
2 6* 2.7985E-10 U( 1)
2 6* 1.0142E-14 R( 1)

44. 2 0 7.0476E-01 R( 0)
2 1 6.4258E-01 U( 1)
2 1 2.3623E-03 R( 1)
1 0 1.5732E-04 8.7532E-08 R( 0)
1 1 6.5726E-04 2.6623E-01 U( 1)
1 1 1.5753E-13 1.5552E-08 R( 1)
1 2% 4.3103E-07 2.8700E-02 U( 6)
1 2% 1.7385E-13 1.4313E-10 R( 1)
1 3* 2.3068E-09 2.0598E-03 U( 5)
1 3* 1.9542E-13 6.2054E-13 R( 1)
1 4* 8.5281E-12 1.8063E-05 U( 5)
1 4* 2.0895E-13 3.8865E-13 R( 1)
1 5* 5.4871E-15 4.3727E-09 U( 2)
1 5* 2.0049E-13 3.8835E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -5.01098E-08 0.00000E+00 -5.01098E-08
2 0.9604 5.01099E-08 0.00000E+00 5.01099E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.53534E-18 0.00000E+00 -3.53534E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.33135E-17 0.00000E+00 -5.01098E-08
2 -6.23322E-17 0.00000E+00 5.01099E-08
3 1.57827E-16 0.00000E+00 0.00000E+00
4 -4.13792E-16 0.00000E+00 -3.53534E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 1.0667
Total cpu time for Newton linear solves = 1.6667 ( 1.6667)
Total cpu time for bias point = 2.7667
Total cpu time = 68.7000

45. Solution for bias:
V1 = 0.0000000E+00 V2 = 1.0083333E+00
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9919E-01 R( 0)
1 1 1.8536E+00 U( 1)
1 1 1.0899E-02 R( 1)
1 2* 1.6346E-01 U( 4)
1 2* 2.7856E-04 R( 1)
1 3% 6.7270E-03 U( 4)
1 3% 3.4209E-07 R( 1)
1 4* 1.0769E-05 U( 2)
1 4* 6.0086E-13 R( 1)
1 5* 3.7031E-11 U( 2)
1 5* 3.0157E-15 R( 1)
1 0 7.0711E-01 R( 0)
1 1 8.4332E-01 U( 1)
1 1 1.2618E-05 R( 1)
2 0 9.8263E-01 R( 0)
2 1 5.3826E+00 U( 1)
2 1 3.1297E-01 R( 3)
2 2 9.3781E-01 U( 1)
2 2 3.6673E-02 R( 1)
2 3 1.4182E-01 U( 1)
2 3 1.1108E-03 R( 1)
2 4* 8.7952E-03 U( 3)
2 4* 2.7676E-06 R( 1)
2 5% 2.8346E-05 U( 3)
2 5% 2.0251E-11 R( 1)
2 6* 2.7349E-10 U( 1)

46. 2 6* 8.7714E-15 R( 1)
2 0 7.0476E-01 R( 0)
2 1 6.4945E-01 U( 1)
2 1 2.2903E-03 R( 1)
1 0 1.6716E-04 8.8549E-08 R( 0)
1 1 7.0432E-04 2.7094E-01 U( 1)
1 1 1.9227E-13 5.3565E-08 R( 1)
1 2% 5.5596E-07 3.7925E-02 U( 6)
1 2% 1.6366E-13 8.6241E-09 R( 1)
1 3% 8.1904E-08 8.1583E-03 U( 6)
1 3% 1.8830E-13 1.6981E-10 R( 1)
1 4% 1.7777E-09 2.9303E-03 U( 6)
1 4% 1.8266E-13 3.6289E-12 R( 1)
1 5% 3.5966E-12 5.0458E-04 U( 6)
1 5% 1.8167E-13 2.6314E-12 R( 1)
1 6% 2.0313E-10 1.3410E-02 U( 6)
1 6% 1.6777E-13 2.0519E-11 R( 1)
1 7 3.5517E-10 1.7184E-02 U( 1)
1 7 1.9502E-13 8.8135E-12 R( 1)
1 8 9.5161E-11 5.5276E-03 U( 1)
1 8 1.8937E-13 4.7453E-13 R( 1)
1 9% 6.2419E-12 5.8175E-04 U( 6)
1 9% 1.8395E-13 4.0148E-13 R( 1)
1 10% 3.6883E-13 1.5018E-04 U( 6)
1 10% 1.7903E-13 3.5088E-13 R( 1)
1 11* 1.6273E-12 4.0242E-04 U( 4)
1 11* 1.7188E-13 4.6943E-13 R( 1)
1 12 9.5594E-13 3.3173E-04 U( 1)
1 12 1.7975E-13 3.4968E-13 R( 1)
1 13 2.0895E-12 4.5572E-04 U( 1)
1 13 1.7153E-13 6.8726E-13 R( 1)
1 14 1.1091E-12 5.8381E-05 U( 1)
1 14 1.7519E-13 3.3975E-13 R( 1)
1 15 2.5143E-14 4.2278E-06 U( 1)
1 15 1.6814E-13 3.3394E-13 R( 1)

47. Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -5.23574E-08 0.00000E+00 -5.23574E-08
2 1.0083 5.23574E-08 0.00000E+00 5.23574E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.54826E-18 0.00000E+00 -3.54826E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.33149E-17 0.00000E+00 -5.23574E-08
2 -5.96046E-17 0.00000E+00 5.23574E-08
3 1.49536E-16 0.00000E+00 0.00000E+00
4 -4.20736E-16 0.00000E+00 -3.54826E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 2.1667
Total cpu time for Newton linear solves = 8.9667 ( 8.9667)
Total cpu time for bias point = 11.2333
Total cpu time = 79.9333
Solution for bias:
V1 = 0.0000000E+00 V2 = 1.1041667E+00
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9942E-01 R( 0)
1 1 3.7071E+00 U( 1)
1 1 4.2400E-02 R( 1)
1 2* 5.5736E-01 U( 5)
1 2* 4.9134E-03 R( 1)

48. 1 3 1.3296E-01 U( 1)
1 3 1.2911E-04 R( 1)
1 4* 5.0927E-03 U( 2)
1 4* 1.1330E-07 R( 1)
1 5* 9.4968E-06 U( 3)
1 5* 1.5593E-13 R( 1)
1 0 7.0711E-01 R( 0)
1 1 9.7545E-01 U( 1)
1 1 8.3652E-06 R( 1)
2 0 9.2775E-01 R( 0)
2 1 3.9687E+01 U( 1)
2 1 7.9856E-01 R( 4)
2 2 8.9001E+00 U( 1)
2 2 2.9562E-01 R( 1)
2 3 9.7875E-01 U( 1)
2 3 6.5598E-02 R( 1)
2 4 2.7791E-01 U( 1)
2 4 6.0377E-03 R( 1)
2 5% 4.1218E-02 U( 3)
2 5% 7.4400E-05 R( 1)
2 6* 7.3608E-04 U( 2)
2 6* 1.2278E-08 R( 1)
2 7* 2.5082E-07 U( 3)
2 7* 1.2846E-14 R( 1)
2 0 7.0655E-01 R( 0)
2 1 9.2051E-01 U( 1)
2 1 2.3747E-03 R( 1)
1 0 1.2350E-03 2.2462E-07 R( 0)
1 1 2.7858E-03 1.2414E+00 U( 1)
1 1 7.2735E-13 8.8630E-08 R( 1)
1 2% 1.6968E-06 2.2202E-01 U( 6)
1 2% 2.5470E-13 6.1125E-09 R( 1)
1 3% 4.9852E-08 3.2382E-02 U( 6)
1 3% 2.7089E-13 8.3021E-10 R( 1)
1 4% 1.5095E-09 7.3922E-03 U( 6)
1 4% 2.9862E-13 1.2643E-10 R( 1)

49. 1 5% 5.1122E-10 7.2754E-04 U( 6)
1 5% 2.9192E-13 9.8037E-13 R( 1)
1 6% 9.6806E-12 1.0372E-03 U( 6)
1 6% 2.8749E-13 8.2735E-13 R( 1)
1 7% 7.3245E-12 8.0092E-04 U( 6)
1 7% 2.9063E-13 6.2677E-13 R( 1)
1 8 6.4447E-12 6.6384E-04 U( 1)
1 8 2.8675E-13 8.2819E-13 R( 1)
1 9 2.1903E-12 3.2525E-04 U( 1)
1 9 2.8669E-13 6.4152E-13 R( 1)
1 10 3.1327E-12 4.7432E-04 U( 1)
1 10 3.0177E-13 6.2504E-13 R( 1)
1 11 1.7963E-10 3.1151E-02 U( 1)
1 11 2.7380E-13 3.7562E-11 R( 1)
1 12 2.9766E-10 1.6568E-02 U( 1)
1 12 2.9749E-13 2.7143E-11 R( 1)
1 13 1.3324E-10 1.8643E-02 U( 1)
1 13 2.8884E-13 4.4687E-12 R( 1)
1 14 8.7514E-11 6.3009E-03 U( 1)
1 14 2.8539E-13 1.0720E-12 R( 1)
1 15 1.2522E-11 1.3150E-03 U( 1)
1 15 2.9346E-13 3.2628E-12 R( 1)
1 16 2.0674E-11 2.0273E-03 U( 1)
1 16 2.9392E-13 7.2297E-13 R( 1)
1 17 1.6083E-11 1.5557E-03 U( 1)
1 17 2.8596E-13 2.3748E-12 R( 1)
1 18 1.1782E-11 1.3278E-03 U( 1)
1 18 2.8999E-13 7.1796E-13 R( 1)
1 19 8.7441E-12 8.6894E-04 U( 1)
1 19 2.8936E-13 1.5947E-12 R( 1)
1 20 1.6276E-12 2.7389E-04 U( 1)
1 20 2.8948E-13 2.3202E-12 R( 1)
**** Convergence problem - take smaller step ****

50. Solution for bias:
V1 = 0.0000000E+00 V2 = 1.0562500E+00
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9918E-01 R( 0)
1 1 1.8536E+00 U( 1)
1 1 1.0899E-02 R( 1)
1 2* 1.6358E-01 U( 4)
1 2* 2.7855E-04 R( 1)
1 3% 6.7388E-03 U( 4)
1 3% 3.4209E-07 R( 1)
1 4* 1.0802E-05 U( 2)
1 4* 6.0069E-13 R( 1)
1 5* 3.7307E-11 U( 2)
1 5* 5.5416E-15 R( 1)
1 0 7.0711E-01 R( 0)
1 1 8.4332E-01 U( 1)
1 1 1.3158E-05 R( 1)
2 0 9.8263E-01 R( 0)
2 1 5.3826E+00 U( 1)
2 1 3.1111E-01 R( 3)
2 2 9.3577E-01 U( 1)
2 2 3.6256E-02 R( 1)
2 3 1.4150E-01 U( 1)
2 3 1.0991E-03 R( 1)
2 4* 8.7507E-03 U( 3)
2 4* 2.7268E-06 R( 1)
2 5% 2.8044E-05 U( 3)

51. 2 5% 1.9671E-11 R( 1)
2 6* 2.6747E-10 U( 1)
2 6* 1.2533E-14 R( 1)
2 0 7.0477E-01 R( 0)
2 1 6.5514E-01 U( 1)
2 1 1.5427E-03 R( 1)
1 0 1.7738E-04 6.2201E-08 R( 0)
1 1 7.5262E-04 2.7286E-01 U( 1)
1 1 3.5105E-13 3.4992E-08 R( 1)
1 2% 6.3674E-07 6.8226E-02 U( 6)
1 2% 2.3173E-13 5.1466E-09 R( 1)
1 3% 8.9309E-08 1.2861E-02 U( 6)
1 3% 2.2920E-13 1.4867E-10 R( 1)
1 4% 2.8324E-09 5.3373E-03 U( 6)
1 4% 2.4653E-13 1.0553E-12 R( 1)
1 5% 3.8315E-12 5.7039E-03 U( 6)
1 5% 2.4103E-13 8.0641E-13 R( 1)
1 6% 4.9765E-12 5.8450E-04 U( 6)
1 6% 2.4077E-13 7.4060E-13 R( 1)
1 7 7.4314E-12 1.2352E-03 U( 1)
1 7 2.3809E-13 2.3510E-12 R( 1)
1 8 4.6388E-12 4.7905E-04 U( 1)
1 8 2.4158E-13 1.0559E-12 R( 1)
1 9 1.8180E-13 5.6814E-05 U( 1)
1 9 2.3967E-13 5.1336E-13 R( 1)
1 10* 3.3816E-14 1.0968E-05 U( 3)
1 10* 2.4535E-13 4.9765E-13 R( 1)
1 11 7.0916E-15 2.0714E-07 U( 1)
1 11 2.4413E-13 4.9757E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -5.46675E-08 0.00000E+00 -5.46675E-08
2 1.0562 5.46675E-08 0.00000E+00 5.46675E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.56087E-18 0.00000E+00 -3.56087E-18

52. Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.33163E-17 0.00000E+00 -5.46675E-08
2 -5.68736E-17 0.00000E+00 5.46675E-08
3 1.41249E-16 0.00000E+00 0.00000E+00
4 -4.27677E-16 0.00000E+00 -3.56087E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 1.6667
Total cpu time for Newton linear solves = 6.5667 ( 6.5667)
Total cpu time for bias point = 8.2667
Total cpu time = 103.3333
Solution for bias:
V1 = 0.0000000E+00 V2 = 1.1041667E+00
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9917E-01 R( 0)
1 1 1.8536E+00 U( 1)
1 1 1.0899E-02 R( 1)
1 2* 1.6369E-01 U( 4)
1 2* 2.7855E-04 R( 1)
1 3% 6.7507E-03 U( 4)
1 3% 3.4209E-07 R( 1)
1 4* 1.0835E-05 U( 2)
1 4* 6.0059E-13 R( 1)
1 5* 3.7584E-11 U( 2)
1 5* 4.3272E-15 R( 1)

53. 1 0 7.0711E-01 R( 0)
1 1 8.4332E-01 U( 1)
1 1 1.3713E-05 R( 1)
2 0 9.8262E-01 R( 0)
2 1 5.3826E+00 U( 1)
2 1 3.0930E-01 R( 3)
2 2 9.3379E-01 U( 1)
2 2 3.5855E-02 R( 1)
2 3 1.4119E-01 U( 1)
2 3 1.0878E-03 R( 1)
2 4* 8.7079E-03 U( 3)
2 4* 2.6878E-06 R( 1)
2 5% 2.7755E-05 U( 3)
2 5% 1.9122E-11 R( 1)
2 6* 2.6176E-10 U( 1)
2 6* 1.5513E-14 R( 1)
2 0 7.0478E-01 R( 0)
2 1 6.5999E-01 U( 1)
2 1 1.3037E-03 R( 1)
1 0 1.8798E-04 5.4786E-08 R( 0)
1 1 8.0215E-04 2.7488E-01 U( 1)
1 1 3.3059E-13 3.3120E-09 R( 1)
1 2% 3.9702E-07 3.4330E-02 U( 6)
1 2% 2.7849E-13 1.1586E-10 R( 1)
1 3% 1.4518E-09 3.0085E-03 U( 6)
1 3% 3.0107E-13 1.6189E-12 R( 1)
1 4% 2.9305E-11 3.1330E-03 U( 6)
1 4% 2.9308E-13 2.5269E-12 R( 1)
1 5% 1.7888E-11 3.2290E-03 U( 6)
1 5% 2.9247E-13 7.6340E-13 R( 1)
1 6 1.1911E-11 2.0370E-04 U( 1)
1 6 2.8753E-13 6.2021E-13 R( 1)
1 7% 8.4251E-12 9.0136E-04 U( 6)
1 7% 2.8831E-13 7.6510E-13 R( 1)
1 8 6.5286E-12 7.1014E-04 U( 1)
1 8 2.9439E-13 6.2229E-13 R( 1)

54. 1 9 8.1286E-12 8.5029E-04 U( 1)
1 9 2.8488E-13 1.0701E-12 R( 1)
1 10 1.6822E-12 2.1595E-04 U( 1)
1 10 2.9737E-13 1.4420E-12 R( 1)
1 11 3.2684E-13 1.4316E-04 U( 1)
1 11 2.8769E-13 1.0163E-12 R( 1)
1 12 3.5431E-13 1.4977E-04 U( 1)
1 12 2.9609E-13 1.4739E-12 R( 1)
1 13 3.5778E-13 1.5183E-04 U( 1)
1 13 2.8776E-13 1.0258E-12 R( 1)
1 14 3.6047E-13 1.5397E-04 U( 1)
1 14 2.9344E-13 1.4913E-12 R( 1)
1 15 3.6683E-13 1.5500E-04 U( 1)
1 15 2.8716E-13 1.0306E-12 R( 1)
1 16 3.6828E-13 1.5610E-04 U( 1)
1 16 2.9115E-13 1.5001E-12 R( 1)
1 17 3.6703E-13 1.5661E-04 U( 1)
1 17 2.8701E-13 1.0330E-12 R( 1)
1 18 3.7069E-13 1.5719E-04 U( 1)
1 18 2.8922E-13 1.5046E-12 R( 1)
1 19 3.6621E-13 1.5744E-04 U( 1)
1 19 2.9476E-13 1.0343E-12 R( 1)
1 20 3.7082E-13 1.5775E-04 U( 1)
1 20 2.9121E-13 1.5069E-12 R( 1)
**** Convergence problem - take smaller step ****
Solution for bias:
V1 = 0.0000000E+00 V2 = 1.0802083E+00
V3 = 0.0000000E+00 V4 = 0.0000000E+00

55. Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9788E-01 R( 0)
1 1 9.2679E-01 U( 1)
1 1 4.1720E-03 R( 1)
1 2* 4.1129E-02 U( 3)
1 2* 2.3290E-05 R( 1)
1 3% 3.3960E-04 U( 4)
1 3% 1.4392E-09 R( 1)
1 4* 2.5144E-08 U( 2)
1 4* 1.1333E-14 R( 1)
1 0 7.0711E-01 R( 0)
1 1 6.0418E-01 U( 1)
1 1 1.1519E-05 R( 1)
2 0 9.8439E-01 R( 0)
2 1 1.5264E+00 U( 1)
2 1 3.7750E-01 R( 2)
2 2 1.8940E-01 U( 1)
2 2 3.7481E-02 R( 1)
2 3* 2.2772E-02 U( 2)
2 3* 4.2526E-04 R( 1)
2 4% 2.6763E-04 U( 3)
2 4% 5.6015E-08 R( 1)
2 5* 3.5858E-08 U( 2)
2 5* 2.2729E-14 R( 1)
2 0 7.0266E-01 R( 0)
2 1 4.1534E-01 U( 1)
2 1 1.1932E-03 R( 1)
1 0 5.5987E-05 2.3954E-08 R( 0)
1 1 3.1441E-04 1.5637E-01 U( 1)
1 1 3.0204E-13 1.8509E-09 R( 1)
1 2% 1.1164E-07 8.6493E-03 U( 6)
1 2% 2.3733E-13 1.9971E-11 R( 1)
1 3* 7.3153E-10 1.0106E-04 U( 3)

56. 1 3* 2.5336E-13 5.2023E-13 R( 1)
1 4* 8.8811E-14 1.3399E-07 U( 2)
1 4* 2.5666E-13 5.1985E-13 R( 1)
Electrode Voltage Electron Current Hole Current Conduction Current
(Volts) (Amps) (Amps) (Amps)
1 0.0000 -5.58464E-08 0.00000E+00 -5.58464E-08
2 1.0802 5.58464E-08 0.00000E+00 5.58464E-08
3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00
4 0.0000 -3.56706E-18 0.00000E+00 -3.56706E-18
Electrode Flux Displacement Current Total Current
(Coul) (Amps) (Amps)
1 -8.33170E-17 0.00000E+00 -5.58464E-08
2 -5.55069E-17 0.00000E+00 5.58464E-08
3 1.37107E-16 0.00000E+00 0.00000E+00
4 -4.31147E-16 0.00000E+00 -3.56706E-18
Convergence criterion completely met
Total cpu time for Newton equation assembly = 0.9667
Total cpu time for Newton linear solves = 1.5000 ( 1.5000)
Total cpu time for bias point = 2.5000
Total cpu time = 120.8667
Solution for bias:
V1 = 0.0000000E+00 V2 = 1.1041667E+00
V3 = 0.0000000E+00 V4 = 0.0000000E+00
Previous solution used as initial guess
o-itr i-itr psi-error n-error
1 0 6.9787E-01 R( 0)

57. 1 1 9.2679E-01 U( 1)
1 1 4.1720E-03 R( 1)
1 2* 4.1144E-02 U( 3)
1 2* 2.3290E-05 R( 1)
1 3% 3.3984E-04 U( 4)
1 3% 1.4392E-09 R( 1)
1 4* 2.5184E-08 U( 2)
1 4* 1.0465E-14 R( 1)
1 0 7.0711E-01 R( 0)
1 1 6.0418E-01 U( 1)
1 1 1.1758E-05 R( 1)
2 0 9.8440E-01 R( 0)
2 1 1.5264E+00 U( 1)
2 1 3.7790E-01 R( 2)
2 2 1.8956E-01 U( 1)
2 2 3.7548E-02 R( 1)
2 3* 2.2811E-02 U( 2)
2 3* 4.2674E-04 R( 1)
2 4% 2.6856E-04 U( 3)
2 4% 5.6406E-08 R( 1)
2 5* 3.6108E-08 U( 2)
2 5* 1.7975E-14 R( 1)
2 0 7.0266E-01 R( 0)
2 1 4.1726E-01 U( 1)
2 1 1.1126E-03 R( 1)
1 0 5.7583E-05 2.2796E-08 R( 0)
1 1 3.2401E-04 1.5692E-01 U( 1)
1 1 2.7109E-13 7.0929E-10 R( 1)
1 2% 1.1171E-07 6.5739E-03 U( 6)
1 2% 2.9862E-13 4.9402E-12 R( 1)
1 3% 6.8813E-11 1.4271E-03 U( 6)
1 3% 2.8558E-13 9.7782E-13 R( 1)
1 4% 2.9956E-11 3.2516E-03 U( 6)
1 4% 2.9039E-13 6.7360E-12 R( 1)
1 5 3.1182E-11 4.0320E-03 U( 1)
1 5 2.8633E-13 6.5690E-13 R( 1)

58. 1 6% 3.5523E-12 1.0644E-03 U( 6)
1 6% 2.8789E-13 8.1830E-13 R( 1)
1 7 4.3375E-12 5.6622E-04 U( 1)
1 7 2.8774E-13 6.5021E-13 R( 1)
1 8 4.7728E-12 4.9438E-04 U( 1)
1 8 2.9061E-13 6.2403E-13 R( 1)
1 9 4.9841E-12 5.3364E-04 U( 1)
1 9 2.8594E-13 6.4670E-13 R( 1)
1 10 4.8076E-12 5.2025E-04 U( 1)
1 10 2.9702E-13 6.2034E-13 R( 1)
1 11 5.7674E-12 6.1967E-04 U( 1)
1 11 2.9117E-13 6.6534E-13 R( 1)
1 12 5.0732E-12 5.4842E-04 U( 1)
1 12 2.9113E-13 6.1860E-13 R( 1)
1 13 1.6303E-11 1.7438E-03 U( 1)
1 13 2.9132E-13 1.3072E-12 R( 1)
1 14 1.1879E-11 1.4022E-03 U( 1)
1 14 2.8699E-13 6.5443E-13 R( 1)
1 15 5.8194E-12 4.9294E-04 U( 1)
1 15 2.9085E-13 6.2568E-13 R( 1)
1 16 3.5663E-12 3.8763E-04 U( 1)
1 16 2.9316E-13 6.2280E-13 R( 1)
1 17 5.3977E-12 5.7685E-04 U( 1)
1 17 2.9439E-13 6.8063E-13 R( 1)
1 18 2.2433E-12 2.4522E-04 U( 1)
1 18 2.9617E-13 6.2105E-13 R( 1)
1 19 5.0896E-12 5.3711E-04 U( 1)
1 19 2.9437E-13 6.4582E-13 R( 1)
1 20 4.8047E-12 5.1722E-04 U( 1)
1 20 2.9554E-13 6.2056E-13 R( 1)
**** Convergence problem - take smaller step ****