BTI Threshold Shift Calculator
Estimate bias temperature instability threshold shift as prefactor·t^{0.25}·exp((Ea/kB)·(1/300-1/T)). t is stress time in hours, T is temperature in K, Ea activation energy in eV, prefactor in mV.
Description
Estimate BTI threshold-voltage shift magnitude from stress time, temperature, activation energy, and a 300 K reference prefactor.
Estimate bias temperature instability threshold shift as prefactor·t^{0.25}·exp((Ea/kB)·(1/300-1/T)). t is stress time in hours, T is temperature in K, Ea activation energy in eV, prefactor in mV.
When to use BTI Threshold Shift Calculator
- Estimate BTI threshold-voltage shift magnitude from stress time, temperature, activation energy, and a 300 K reference prefactor.
- Compare fabrication or device scenarios while holding coefficients and unit conventions constant.
- Check a hand calculation before moving to a higher-fidelity process, circuit, or TCAD model.
How the calculation works
Because A is normalized at 300 K and one hour, the Arrhenius factor equals one at 300 K and the time factor equals one at one hour.
ΔVth = A·t^0.25·exp[(Ea/kB)·(1/300−1/T)] Interpreting the result
Because A is normalized at 300 K and one hour, the Arrhenius factor equals one at 300 K and the time factor equals one at one hour.
Assumptions and limitations
- The fixed quarter-power exponent omits recovery, duty cycle, bias field, process dependence, and separate NBTI/PBTI mechanisms.
- Use parameters measured for the same material, geometry, temperature, and operating regime whenever the result informs engineering work.