Frequency Change and Elastic Constants of Quartz Irradiated by 1 MeV Electrons

The fractions of frequency change Δ f / f for quartz resonator plates exposed to 1 MeV electrons are measured as a function of electron fluence up to 2 × 10 17 electrons/cm 2 , from which the adiabatic elastic constants of c 44 , c 14 and c 66 are determined. The ratio of these fractional changes is found to have a correlation of Δ c 44 / c 44 : Δ| c 14 |/| c 14 |: Δ c 66 / c 66 =1.3: 3.1: 1.0. The Δ f / f values against fluence are calculated for various cut angles. The result indicates that the frequency in AT-cut resonators decreases a little and then increases (∼10 -5 ), but in BT- and Y-cut resonators a drastic increase and then a decrease (10 -3 ∼10 -2 ) are expected.