Meaning
Exponential relationship links the rate of a chemical or physical process to the absolute temperature of the environment. In the field of semiconductor reliability, the arrhenius model provides the mathematical basis for predicting how long a device will function under normal operating conditions. The formula uses a constant value representing the energy barrier of the failure mechanism.
Acceleration Factor
High temperature stress testing uses this equation to compress years of operational life into a few hundred hours of laboratory observation. By increasing the thermal energy, the rate of degradation is forced to speed up in a predictable way.
Model Reliability
Accuracy depends on the assumption that the failure mechanism does not change as the temperature increases. If a different physical process becomes dominant at high heat, the predictions made by the arrhenius model will no longer be valid. Testing at multiple temperature points helps to confirm that the observed degradation follows the expected exponential curve.
Extrapolation Boundary
Predictions are most effective when the operating range stays within the limits of the materials used in the assembly. Plastic packaging or metal interconnects may have melting points or phase transitions that create a hard ceiling for thermal stress. Crossing these boundaries results in data that cannot be used to model real-world performance accurately.