A study for the relationship between drive level and the Activation Energy in Arrhenius accelerated aging model for small size quartz resonators

Aging performance as long-term stability is one of the most important characteristics of quartz resonators. It is usual to use higher temperature accelerated aging experiment results and Arrhenius accelerated aging model to estimate the product lifespan. In this paper, an approximated mathematical expression of apparent thermal Ea_Φ(Activation Energy) which could describe the aging model that both considering drive level and temperature for small size quartz resonators. The apparent thermal Ea_Φ value is 0.730eV under 100μW, when drive level higher to 1000μW the apparent thermal Ea_Φ become smaller to 0.233eV and shows a saturated tendency. Our works make sure the drive level did contribute to aging acceleration and cannot be neglected, especial for the estimated life of small size quartz resonators.