Calculation of transient thermal imbalance within crystal units following exposure to pulse irradiation

A study has been made of temperature rises in quartz resonators using a combined photon-electron Monte Carlo transport code. This code was used to compute the energy deposited in resonator materials by pulsed (70 nanoseconds) 10 MeV Bremsstrahlung x-rays and 30 MeV electrons in geometries which model 5 MHz and 125 MHz 5th overtone quartz resonators. In general for the radiation sources considered, and for resonators operating near their frequency vs. temperature turnover point, calculations indicate that thermal shock is a significant factor in causing transient frequency shifts. Frequency shifts in 5 MHz resonators of tenths of parts per million lasting fractions of a second are calculated for resonators exposed to a radiation pulse of 105 rad.