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AN2867 Datasheet(PDF) 6 Page - STMicroelectronics |
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AN2867 Datasheet(HTML) 6 Page - STMicroelectronics |
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6 / 41 page  Quartz crystal properties and model AN2867 6/41 DocID15287 Rev 9 1 Quartz crystal properties and model A quartz crystal is a piezoelectric device transforming electric energy to mechanical energy and vice versa. The transformation occurs at the resonant frequency. The quartz crystal can be modeled as follows: Figure 1. Quartz crystal model C0: represents the shunt capacitance resulting from the capacitor formed by the electrodes Lm: (motional inductance) represents the vibrating mass of the crystal Cm: (motional capacitance) represents the elasticity of the crystal Rm: (motional resistance) represents the circuit losses The impedance of the crystal is given by the following equation (assuming that Rm is negligible): (1) Figure 2 represents the impedance in the frequency domain. Figure 2. Impedance representation in the frequency domain Z j w ---- w 2 Lm × Cm × 1 – C0 Cm + () w 2 Lm × Cm × C0 × – ---------------------------------------------------------------------------------- × = |
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