Behavior of dielectric permittivity of piezomonocrystall near the resonant frequency

The behavior of the quartz dielectric permittivity ($\varepsilon$) depending on the frequency of the applied alternating electric field is investigated. Peculiarities of quartz ($\varepsilon$) near the resonant frequency in the range from $1 \ kHz$ to $1 \ MHz$ and shows that the excitation of the piezoelectric crystal odd resonance frequency value of the real part of permittivity repeatedly ($\varepsilon^{\prime}$ ) increases, when the driving frequency of the crystal is close to the resonance frequency of the low frequency and a further increase in the frequency of the alternating electric field, the value of ($\varepsilon^{\prime}$ ) abruptly changes sign, becoming negative. The absolute value of ($\varepsilon^{\prime}$ ) increases by more than an order of magnitude. With further increase in the excitation frequency value of ($\varepsilon^{\prime}$ ) increases continuously and monotonically and tends to the value off resonance. Similar results were obtained for the odd high harmonics. The imaginary part of permittivity ($\varepsilon^{\prime\prime}$) negligible in the vicinity of the resonance frequencies of the odd. In the even of resonance frequencies of visible changes of ($\varepsilon$ ) is not observed.