Closed-form, textbook-appropriate equations have been derived for the drain current I D , the channel conductance g D , and the transconductance g m of high-k MOSFETs, incorporating high-k gate stack charges Q di,gsc , non-saturating inversion surface potential increase ϕ s,inv , and work-function difference φ MS . These ab initio relations, developed without imposing any assumptions, provide a clear view of the degrading effects of the high-k gate stack charges, the non-saturating inversion surface potential, and the semiconductor-metal work function difference on I D , g D , and g m . Rational estimates have been made of the latter which illustrate the relative weights of each of the three non-ideal factors in the degradation of the channel parameters of the high-k gate stack. The degradation appears to be most severe for the channel conductance, followed by the drain current, and then the trans-conductance. The work-function anomaly does not directly affect the trans-conductance for which the major degrading factor is the non-saturating surface potential. Even for moderate drain voltages, the numerical estimates reveal the drain current versus the drain voltage relation to become more non-linear in the case of the high-k gate stack. Comparison with the available experimental high-k gate stack data supports the import of these equations.The classical closed-form drain current versus the drain voltage relations for the Metal-Oxide-Semiconductor Field-Effect Transistor (MOSFET) were derived under the following assumptions: 1-3 1) No fixed or trap charges inside the bulk of the gate stack; 2) no interface traps or fixed charges at the semiconductor-dielectric interface; 3) saturation of the inversion surface potential to its value at the onset of strong inversion (ϕ s,inv,th ) for the entire strong inversion regime; 4) no semiconductor-metal work function difference. None of the above assumptions is tenable in the case of MOSFETs with high-k gate stacks, which are beset with enormous bulk charges and traps and work-function anomaly. 4,5 After strong inversion sets in, the surface potential far from saturating has been observed to keep increasing continuously over the entire strong inversion regime. 6,7 Hence the above assumptions taken together represent a serious contradiction to the reality that obtains in the case of the current high-k gate stacks.Numerical models have been developed to make more realistic estimates of the drain current and the related parameters of MOSFETs. However, closed-form, text-book type equations, derived from the first principles, are needed to provide a sound physical insight into the critical parameters. Needed are mathematical relations in closed form for the drain current I D , the channel conductance g D , and the transconductance g m which transparently illustrate how much the high-k gate stack charges, the non-saturating inversion surface potential, and the work function anomaly degrade the channel parameters. Even the recent semiconductor device and gate stack reference books s...