It is obvious that Vt can be extracted by calculating the intercept of ID^0.5 against Vg and hole mobility uβ can be extracted by calculating the slope of the equation above. Moreover, the values of parameters mentioned above are listed as follow:
1.Drain voltage = -10 V
2.W/L = 400 mm/3mm
3.Cox = 2 x 10 -3 F/m2
4.TC = 450 K
5.K = 7.9 x 10 -16 (SI Unit)
6.εs = 2.5
And the the form of value of Drain Current ID and ID^0.5 change with Gate voltage Vg is show in Table 1:
| Vg | ID | Square root of ID |
| 4.1 | 2.41E-11 | 4.91E-06 |
| 4 | 2.31E-11 | 4.80E-06 |
| 3.9 | 2.49E-11 | 4.99E-06 |
| 3.8 | 2.21E-11 | 4.70E-06 |
| 3.7 | 2.16E-11 | 4.65E-06 |
| 3.6 | 2.06E-11 | 4.54E-06 |
| 3.5 | 2.27E-11 | 4.77E-06 |
| 3.4 | 1.75E-11 | 4.19E-06 |
| 3.3 | 1.54E-11 | 3.92E-06 |
| 3.2 | 2.21E-11 | 4.70E-06 |
| 3.1 | 1.62E-11 | 4.03E-06 |
| 3 | 1.70E-11 | 4.12E-06 |
| 2.9 | 1.78E-11 | 4.22E-06 |
| 2.8 | 1.13E-11 | 3.36E-06 |
| 2.7 | 1.62E-11 | 4.02E-06 |
| 2.6 | 1.76E-11 | 4.20E-06 |
| 2.5 | 1.36E-11 | 3.69E-06 |
| 2.4 | 1.62E-11 | 4.03E-06 |
| 2.3 | 1.72E-11 | 4.15E-06 |
| 2.2 | 1.19E-11 | 3.45E-06 |
| 2.1 | 1.62E-11 | 4.02E-06 |
| 2 | 1.47E-11 | 3.83E-06 |
| 1.9 | 1.21E-11 | 3.48E-06 |
| 1.8 | 1.86E-11 | 4.32E-06 |
| 1.7 | 1.37E-11 | 3.70E-06 |
| 1.6 | 1.40E-11 | 3.75E-06 |
| 1.5 | 1.32E-11 | 3.63E-06 |
| 1.4 | 1.49E-11 | 3.87E-06 |
| 1.3 | 1.47E-11 | 3.84E-06 |
| 1.2 | 1.67E-11 | 4.08E-06 |
| 1.1 | 1.62E-11 | 4.03E-06 |
| 1 | 1.01E-11 | 3.18E-06 |
| 0.9 | 1.83E-11 | 4.27E-06 |
| 0.8 | 1.51E-11 | 3.89E-06 |
| 0.7 | 1.30E-11 | 3.61E-06 |
| 0.6 | 1.80E-11 | 4.25E-06 |
| 0.5 | 1.71E-11 | 4.13E-06 |
| 0.4 | 1.00E-11 | 3.17E-06 |
| 0.3 | 1.70E-11 | 4.12E-06 |
| 0.2 | 1.52E-11 | 3.89E-06 |
| 0.1 | 1.42E-11 | 3.77E-06 |
| 0 | 1.56E-11 | 3.94E-06 |
| -0.1 | 1.55E-11 | 3.94E-06 |
| -0.2 | 1.60E-11 | 4.00E-06 |
| -0.3 | 1.86E-11 | 4.31E-06 |
| -0.4 | 1.52E-11 | 3.90E-06 |
| -0.5 | 2.03E-11 | 4.51E-06 |
| -0.6 | 1.49E-11 | 3.86E-06 |
| -0.7 | 1.86E-11 | 4.31E-06 |
| -0.8 | 2.24E-11 | 4.73E-06 |
| -0.9 | 1.83E-11 | 4.28E-06 |
| -1 | 2.07E-11 | 4.55E-06 |
| -1.1 | 1.74E-11 | 4.17E-06 |
| -1.2 | 2.33E-11 | 4.83E-06 |
| -1.3 | 2.39E-11 | 4.89E-06 |
| -1.4 | 2.47E-11 | 4.97E-06 |
| -1.5 | 3.15E-11 | 5.61E-06 |
| -1.6 | 3.21E-11 | 5.66E-06 |
| -1.7 | 4.40E-11 | 6.63E-06 |
| -1.8 | 5.63E-11 | 7.50E-06 |
| -1.9 | 6.92E-11 | 8.32E-06 |
| -2 | 9.15E-11 | 9.57E-06 |
| -2.1 | 1.19E-10 | 1.09E-05 |
| -2.2 | 1.58E-10 | 1.26E-05 |
| -2.3 | 2.07E-10 | 1.44E-05 |
| -2.4 | 2.65E-10 | 1.63E-05 |
| -2.5 | 3.35E-10 | 1.83E-05 |
| -2.6 | 4.30E-10 | 2.07E-05 |
| -2.7 | 5.42E-10 | 2.33E-05 |
| -2.8 | 6.74E-10 | 2.60E-05 |
| -2.9 | 8.40E-10 | 2.90E-05 |
| -3 | 1.04E-09 | 3.22E-05 |
| -3.1 | 1.26E-09 | 3.55E-05 |
| -3.2 | 1.54E-09 | 3.93E-05 |
| -3.3 | 1.87E-09 | 4.32E-05 |
| -3.4 | 2.24E-09 | 4.73E-05 |
| -3.5 | 2.67E-09 | 5.16E-05 |
| -3.6 | 3.16E-09 | 5.62E-05 |
| -3.7 | 3.73E-09 | 6.11E-05 |
| -3.8 | 4.37E-09 | 6.61E-05 |
| -3.9 | 5.08E-09 | 7.13E-05 |
| -4 | 5.89E-09 | 7.67E-05 |
| -4.1 | 6.79E-09 | 8.24E-05 |
| -4.2 | 7.78E-09 | 8.82E-05 |
| -4.3 | 8.91E-09 | 9.44E-05 |
| -4.4 | 1.02E-08 | 1.01E-04 |
| -4.5 | 1.15E-08 | 1.07E-04 |
| -4.6 | 1.30E-08 | 1.14E-04 |
| -4.7 | 1.47E-08 | 1.21E-04 |
| -4.8 | 1.65E-08 | 1.29E-04 |
| -4.9 | 1.85E-08 | 1.36E-04 |
| -5 | 2.07E-08 | 1.44E-04 |
| -5.1 | 2.29E-08 | 1.51E-04 |
| -5.2 | 2.55E-08 | 1.60E-04 |
| -5.3 | 2.82E-08 | 1.68E-04 |
| -5.4 | 3.10E-08 | 1.76E-04 |
| -5.5 | 3.43E-08 | 1.85E-04 |
| -5.6 | 3.76E-08 | 1.94E-04 |
| -5.7 | 4.11E-08 | 2.03E-04 |
| -5.8 | 4.50E-08 | 2.12E-04 |
| -5.9 | 4.91E-08 | 2.22E-04 |
| -6 | 5.35E-08 | 2.31E-04 |
| -6.1 | 5.82E-08 | 2.41E-04 |
| -6.2 | 6.31E-08 | 2.51E-04 |
| -6.3 | 6.84E-08 | 2.62E-04 |
| -6.4 | 7.38E-08 | 2.72E-04 |
| -6.5 | 7.96E-08 | 2.82E-04 |
| -6.6 | 8.60E-08 | 2.93E-04 |
| -6.7 | 9.25E-08 | 3.04E-04 |
| -6.8 | 9.93E-08 | 3.15E-04 |
| -6.9 | 1.06E-07 | 3.26E-04 |
| -7 | 1.14E-07 | 3.37E-04 |
| -7.1 | 1.22E-07 | 3.49E-04 |
| -7.2 | 1.30E-07 | 3.61E-04 |
| -7.3 | 1.38E-07 | 3.72E-04 |
| -7.4 | 1.47E-07 | 3.84E-04 |
| -7.5 | 1.57E-07 | 3.96E-04 |
| -7.6 | 1.66E-07 | 4.07E-04 |
| -7.7 | 1.76E-07 | 4.19E-04 |
| -7.8 | 1.87E-07 | 4.32E-04 |
| -7.9 | 1.97E-07 | 4.44E-04 |
| -8 | 2.08E-07 | 4.56E-04 |
| -8.1 | 2.19E-07 | 4.68E-04 |
| -8.2 | 2.32E-07 | 4.81E-04 |
| -8.3 | 2.44E-07 | 4.94E-04 |
| -8.4 | 2.58E-07 | 5.08E-04 |
| -8.5 | 2.72E-07 | 5.22E-04 |
| -8.6 | 2.88E-07 | 5.36E-04 |
| -8.7 | 3.03E-07 | 5.51E-04 |
| -8.8 | 3.19E-07 | 5.65E-04 |
| -8.9 | 3.36E-07 | 5.80E-04 |
| -9 | 3.53E-07 | 5.94E-04 |
| -9.1 | 3.70E-07 | 6.08E-04 |
| -9.2 | 3.88E-07 | 6.23E-04 |
| -9.3 | 4.06E-07 | 6.37E-04 |
| -9.4 | 4.25E-07 | 6.52E-04 |
| -9.5 | 4.44E-07 | 6.66E-04 |
| -9.6 | 4.65E-07 | 6.82E-04 |
| -9.7 | 4.85E-07 | 6.96E-04 |
| -9.8 | 5.06E-07 | 7.11E-04 |
| -9.9 | 5.26E-07 | 7.26E-04 |
| -10 | 5.48E-07 | 7.40E-04 |
| -10.1 | 5.70E-07 | 7.55E-04 |
| -10.2 | 5.92E-07 | 7.70E-04 |
| -10.3 | 6.15E-07 | 7.84E-04 |
| -10.4 | 6.39E-07 | 7.99E-04 |
| -10.5 | 6.62E-07 | 8.14E-04 |
| -10.6 | 6.86E-07 | 8.28E-04 |
| -10.7 | 7.10E-07 | 8.43E-04 |
| -10.8 | 7.37E-07 | 8.58E-04 |
| -10.9 | 7.62E-07 | 8.73E-04 |
| -11 | 7.86E-07 | 8.87E-04 |
| -11.1 | 8.12E-07 | 9.01E-04 |
| -11.2 | 8.39E-07 | 9.16E-04 |
| -11.3 | 8.66E-07 | 9.31E-04 |
| -11.4 | 8.93E-07 | 9.45E-04 |
| -11.5 | 9.20E-07 | 9.59E-04 |
| -11.6 | 9.48E-07 | 9.74E-04 |
| -11.7 | 9.75E-07 | 9.88E-04 |
| -11.8 | 1.00E-06 | 0.001 |
| -11.9 | 1.03E-06 | 0.00102 |
| -12 | 1.06E-06 | 0.00103 |
| -12.1 | 1.09E-06 | 0.00104 |
| -12.2 | 1.12E-06 | 0.00106 |
| -12.3 | 1.14E-06 | 0.00107 |
| -12.4 | 1.17E-06 | 0.00108 |
| -12.5 | 1.20E-06 | 0.00109 |
| -12.6 | 1.23E-06 | 0.00111 |
| -12.7 | 1.26E-06 | 0.00112 |
| -12.8 | 1.29E-06 | 0.00114 |
| -12.9 | 1.32E-06 | 0.00115 |
| -13 | 1.36E-06 | 0.00116 |
| -13.1 | 1.39E-06 | 0.00118 |
| -13.2 | 1.42E-06 | 0.00119 |
| -13.3 | 1.45E-06 | 0.0012 |
| -13.4 | 1.48E-06 | 0.00122 |
| -13.5 | 1.51E-06 | 0.00123 |
| -13.6 | 1.55E-06 | 0.00124 |
| -13.7 | 1.58E-06 | 0.00126 |
| -13.8 | 1.61E-06 | 0.00127 |
| -13.9 | 1.64E-06 | 0.00128 |
| -14 | 1.67E-06 | 0.00129 |
| -14.1 | 1.68E-06 | 0.0013 |
| -14.2 | 1.71E-06 | 0.00131 |
| -14.3 | 1.72E-06 | 0.00131 |
| -14.4 | 1.73E-06 | 0.00132 |
| -14.5 | 1.75E-06 | 0.00132 |
| -14.6 | 1.77E-06 | 0.00133 |
| -14.7 | 1.79E-06 | 0.00134 |
| -14.8 | 1.81E-06 | 0.00134 |
| -14.9 | 1.83E-06 | 0.00135 |
| -15 | 1.84E-06 | 0.00136 |
| -15.1 | 1.86E-06 | 0.00137 |
| -15.2 | 1.88E-06 | 0.00137 |
| -15.3 | 1.91E-06 | 0.00138 |
| -15.4 | 1.93E-06 | 0.00139 |
| -15.5 | 1.95E-06 | 0.0014 |
| -15.6 | 1.97E-06 | 0.0014 |
| -15.7 | 1.99E-06 | 0.00141 |
| -15.8 | 2.03E-06 | 0.00143 |
| -15.9 | 2.08E-06 | 0.00144 |
| -16 | 2.12E-06 | 0.00146 |
| -16.1 | 2.16E-06 | 0.00147 |
| -16.2 | 2.20E-06 | 0.00148 |
| -16.3 | 2.24E-06 | 0.0015 |
| -16.4 | 2.28E-06 | 0.00151 |
| -16.5 | 2.32E-06 | 0.00152 |
| -16.6 | 2.36E-06 | 0.00153 |
| -16.7 | 2.39E-06 | 0.00155 |
| -16.8 | 2.43E-06 | 0.00156 |
| -16.9 | 2.46E-06 | 0.00157 |
| -17 | 2.50E-06 | 0.00158 |
| -17.1 | 2.53E-06 | 0.00159 |
| -17.2 | 2.57E-06 | 0.0016 |
| -17.3 | 2.60E-06 | 0.00161 |
| -17.4 | 2.63E-06 | 0.00162 |
| -17.5 | 2.66E-06 | 0.00163 |
| -17.6 | 2.70E-06 | 0.00164 |
| -17.7 | 2.73E-06 | 0.00165 |
| -17.8 | 2.76E-06 | 0.00166 |
| -17.9 | 2.79E-06 | 0.00167 |
| -18 | 2.82E-06 | 0.00168 |
| -18.1 | 2.84E-06 | 0.00169 |
| -18.2 | 2.87E-06 | 0.00169 |
| -18.3 | 2.90E-06 | 0.0017 |
| -18.4 | 2.92E-06 | 0.00171 |
| -18.5 | 2.95E-06 | 0.00172 |
| -18.6 | 2.98E-06 | 0.00173 |
| -18.7 | 3.00E-06 | 0.00173 |
| -18.8 | 3.03E-06 | 0.00174 |
| -18.9 | 3.05E-06 | 0.00175 |
| -19 | 3.07E-06 | 0.00175 |
| -19.1 | 3.10E-06 | 0.00176 |
| -19.2 | 3.12E-06 | 0.00177 |
| -19.3 | 3.14E-06 | 0.00177 |
| -19.4 | 3.17E-06 | 0.00178 |
| -19.5 | 3.19E-06 | 0.00179 |
| -19.6 | 3.21E-06 | 0.00179 |
| -19.7 | 3.23E-06 | 0.0018 |
| -19.8 | 3.25E-06 | 0.0018 |
| -19.9 | 3.27E-06 | 0.00181 |
| -20 | 3.29E-06 | 0.00181 |
| -20.1 | 3.30E-06 | 0.00182 |
| -20.2 | 3.33E-06 | 0.00182 |
| -20.3 | 3.34E-06 | 0.00183 |
| -20.4 | 3.36E-06 | 0.00183 |
| -20.5 | 3.38E-06 | 0.00184 |
| -20.6 | 3.39E-06 | 0.00184 |
| -20.7 | 3.41E-06 | 0.00185 |
| -20.8 | 3.43E-06 | 0.00185 |
| -20.9 | 3.45E-06 | 0.00186 |
| -21 | 3.46E-06 | 0.00186 |
| -21.1 | 3.48E-06 | 0.00186 |
| -21.2 | 3.49E-06 | 0.00187 |
| -21.3 | 3.51E-06 | 0.00187 |
| -21.4 | 3.52E-06 | 0.00188 |
| -21.5 | 3.54E-06 | 0.00188 |
| -21.6 | 3.55E-06 | 0.00188 |
| -21.7 | 3.56E-06 | 0.00189 |
| -21.8 | 3.58E-06 | 0.00189 |
| -21.9 | 3.59E-06 | 0.00189 |
| -22 | 3.60E-06 | 0.0019 |
| -22.1 | 3.61E-06 | 0.0019 |
| -22.2 | 3.63E-06 | 0.0019 |
| -22.3 | 3.64E-06 | 0.00191 |
| -22.4 | 3.65E-06 | 0.00191 |
| -22.5 | 3.66E-06 | 0.00191 |
| -22.6 | 3.67E-06 | 0.00192 |
| -22.7 | 3.69E-06 | 0.00192 |
| -22.8 | 3.69E-06 | 0.00192 |
| -22.9 | 3.71E-06 | 0.00193 |
| -23 | 3.72E-06 | 0.00193 |
| -23.1 | 3.73E-06 | 0.00193 |
| -23.2 | 3.74E-06 | 0.00193 |
| -23.3 | 3.75E-06 | 0.00194 |
| -23.4 | 3.75E-06 | 0.00194 |
| -23.5 | 3.76E-06 | 0.00194 |
| -23.6 | 3.77E-06 | 0.00194 |
| -23.7 | 3.78E-06 | 0.00194 |
| -23.8 | 3.79E-06 | 0.00195 |
| -23.9 | 3.79E-06 | 0.00195 |
| -24 | 3.81E-06 | 0.00195 |
| -24.1 | 3.81E-06 | 0.00195 |
| -24.2 | 3.83E-06 | 0.00196 |
| -24.3 | 3.83E-06 | 0.00196 |
| -24.4 | 3.84E-06 | 0.00196 |
| -24.5 | 3.85E-06 | 0.00196 |
| -24.6 | 3.85E-06 | 0.00196 |
| -24.7 | 3.86E-06 | 0.00196 |
| -24.8 | 3.86E-06 | 0.00197 |
| -24.9 | 3.87E-06 | 0.00197 |
| -25 | 3.88E-06 | 0.00197 |
Then,the experimenters plot the sub-threshold plot is shown in below:
 |
| Figure 1 The Sub-threshold Plot |
Then, select part of the data above to draw a fitting straight line to get the intercept and slope of the curve. And the figure is shown in Figure 2
 |
| Figure 2 Fitting Straight Line of Sub-threshold Plot |
According to the figure above, the experimenter find the slop of the straght line is -1.22*10-4 and the constant of the equation of straight line is 4.77*10-4. Therefore, the hole mobility uβ of the organic PMOS is:
1.1163*10-4 cm2/V*s
and the threshold voltage of the organic inveter is :
Vt = 4.77*10-4
/ -1.22*10-4 ≈ -3.9V
which is similar to the value of intercept of square root of drain current againist gate voltage.
ReplyDeletehi dear its very first-class and very helpful submit for those who are new and thinking to begin a weblog site.Your posts are very helpful and creative mitsubishi