AN2386 Datasheet, PDF (18/30 Pages) STMicroelectronics – How to achieve the threshold voltage thermal coefficient

Some considerations on VTH and TVTC equations and real examples
AN2386
Table 2. Main electrical parameter simulated by DEVICE2
T
ni
Φ_ms
∂_ms/∂T
Φ_ms/T
Φ_F
∂Φ_F/∂T Φ_F/T V_OX ∂V_OX/∂T
V_th
295 9.00E+15 -1.000 0.000970 -0.00339 0.412 -0.00078 0.0014 1.69 -0.0016 1.51
300 1.37E+16 -0.995 0.000974 -0.00332 0.408 -0.00078 0.0014 1.68 -0.0016 1.50
305 2.07E+16 -0.990 0.000979 -0.00325 0.404 -0.00079 0.0013 1.67 -0.0016 1.49
310 3.07E+16 -0.985 0.000983 -0.00318 0.400 -0.00079 0.0013 1.67 -0.0016 1.48
315 4.50E+16 -0.980 0.000987 -0.00311 0.397 -0.00079 0.0013 1.66 -0.0017 1.47
320 6.53E+16 -0.976 0.000991 -0.00305 0.393 -0.00079 0.0012 1.65 -0.0017 1.46
325 9.37E+16 -0.971 0.000995 -0.00299 0.389 -0.00080 0.0012 1.64 -0.0017 1.45
330 1.33E+17 -0.966 0.000999 -0.00293 0.385 -0.00080 0.0012 1.63 -0.0017 1.44
335 1.87E+17 -0.961 0.001003 -0.00287 0.381 -0.00080 0.0011 1.62 -0.0017 1.42
340 2.60E+17 -0.956 0.001007 -0.00281 0.377 -0.00080 0.0011 1.61 -0.0017 1.41
345 3.59E+17 -0.951 0.001011 -0.00276 0.373 -0.00080 0.0011 1.61 -0.0017 1.40
350 4.90E+17 -0.945 0.001014 -0.00270 0.369 -0.00080 0.0011 1.60 -0.0017 1.39
355 6.64E+17 -0.940 0.001018 -0.00265 0.365 -0.00081 0.0010 1.59 -0.0018 1.38
360 8.93E+17 -0.935 0.001022 -0.00260 0.361 -0.00081 0.0010 1.58 -0.0018 1.37
365 1.19E+18 -0.930 0.001025 -0.00255 0.356 -0.00081 0.0010 1.57 -0.0018 1.35
370 1.58E+18 -0.925 0.001029 -0.00250 0.352 -0.00081 0.0010 1.56 -0.0018 1.34
375 2.07E+18 -0.920 0.001032 -0.00245 0.348 -0.00081 0.0009 1.55 -0.0018 1.33
380 2.70E+18 -0.915 0.001035 -0.00241 0.344 -0.00082 0.0009 1.54 -0.0018 1.32
385 3.51E+18 -0.910 0.001039 -0.00236 0.340 -0.00082 0.0009 1.53 -0.0018 1.31
390 4.52E+18 -0.904 0.001042 -0.00232 0.336 -0.00082 0.0009 1.53 -0.0019 1.29
395 5.78E+18 -0.899 0.001045 -0.00228 0.332 -0.00082 0.0008 1.52 -0.0019 1.28
400 7.36E+18 -0.894 0.001049 -0.00223 0.328 -0.00082 0.0008 1.51 -0.0019 1.27
∂V_th/∂T
-0.0022
-0.0022
-0.0022
-0.0022
-0.0022
-0.0023
-0.0023
-0.0023
-0.0023
-0.0023
-0.0023
-0.0023
-0.0024
-0.0024
-0.0024
-0.0024
-0.0024
-0.0024
-0.0024
-0.0025
-0.0025
-0.0025
Figure 9. DEVICE2 V_TH - comparison between simulated and measured data
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