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STM32L151VCT6ATR
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STM32L151VCT6ATR数据手册
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Quartz crystal properties and model AN2867
6/43 DocID15287 Rev 11
1 Quartz crystal properties and model
A quartz crystal is a piezoelectric device transforming electric energy into mechanical
energy and vice versa. The transformation occurs at the resonant frequency. The quartz
crystal can be modeled as shown in Figure 1.
Figure 1. Quartz crystal model
C
0
: represents the shunt capacitance resulting from the capacitor formed by the
electrodes
L
m
: (motional inductance) represents the vibrating mass of the crystal
C
m
: (motional capacitance) represents the elasticity of the crystal
R
m
: (motional resistance) represents the circuit losses
The impedance of the crystal is given by the following equation (assuming that R
m
is
negligible):
(1)
Z
j
w
----
w
2
L
m
× C
m
× 1
C
0
C
m
+()w
2
L
m
× C
m
× C
0
×
------------------------------------------------------------------------------------------
×=
Figure 2 represents the impedance in the frequency domain.
Figure 2. Impedance representation in the frequency domain
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