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Calculating PHI, GAMMA, and VTO
Introducing MOSFETs
where,
tnom = TNOM + 273.15
If VTO is not specified, then for Al-Gate (TPG=0), the work function Φ ms is
determined by:
eg
PHI
Φms = − ------ − type ⋅ ---------- – 0.05
2
2
where type is +1 for n-channel and -1 for p-channel.
For Poly-Gate (TPG=±1), the work function is determined by:
If the model parameter NGATE is not specified,
eg PHI
Φms = type ⋅  − TPG ⋅ ------ – ----------

2
2 
Otherwise,
NGATE PHI
Φms = type ⋅ − TPG ⋅ vt ⋅ ln  --------------------- – --------- ni 
2
Then VTO voltage is determined by:
VTO = vfb + type ⋅ ( GAMMA ⋅ PHI 1 ⁄ 2 + PHI )
where,
q ⋅ NSS
vfb = Φms – ------------------- + DELVTO
COX
If VTO is specified, then,
VTO = VTO + DELVTO
8-54
True-Hspice Device Models Reference Manual, Release 2001.4, revision A