Transcription of Crystal Oscillators (XTAL) - University of California ...
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Crystal Oscillators (XTAL) - University of California ...
EECS 142 Crystal Oscillators ( xtal )Prof. Ali M. NiknejadUniversity of California , BerkeleyCopyrightc 2009 by Ali M. NiknejadA. M. NiknejadUniversity of California , BerkeleyEECS 242 p. 1/28 p. 1/28 Crystal ResonatorC0L1C1R1R2R3L2C2L3C3tquartzQuar tz Crystal is a piezoelectric material. An electric fieldcauses a mechanical displacement and vice versa. Thus it is aelectromechanical equivalent circuit contains seriesLCRcircuits thatrepresent resonant modes of the xtal . The capacitorC0is aphysical capacitor that results from the parallel platecapacitance due to the M.
Fundamental Resonant Mode Acoustic waves through the crystal have phase velocity v = 3×103m/s.For a thickness t = 1mm, the delay time through the XTAL is given by τ = t/v = (10−3m)/(3×103m/s) = 1/3µs. This corresponds to a fundamental resonant frequency
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