Quartz Crystal Parameter Calculator
A quartz crystal oscillator is an electronic oscillator that uses a quartz crystal to create an electrical signal with a certain frequency. The quartz crystal's electrical equivalent circuit consists of a series RLC circuit in parallel with a capacitor. A quartz crystal has a high Q factor and provides both series and parallel resonance modes. This online crystal parameter calculator calculates the series resonance frequency Fs (MHz), parallel resonance frequency Fp (MHz), and Q factor of a quartz crystal by entering the value of series resistance (Rs), series inductance (Ls), Series capacitance (Cs), and parallel capacitance (Cp).
Calculate the series resonance frequency, parallel resonance frequency and the Q factor of a quartz crystal based on its equivalent circuit
Formula for Quartz Crystal Parameter Calculator
What is the series resonant frequency?
In a series RLC circuit, the series resonant frequency is the frequency at which the series resonant condition occurs. At the resonant condition, the inductive reactance and capacitive reactance are equal. Hence, at this frequency, the circuit has minimum impedance and maximum current flow. Series resonant condition is avoided in a power system since, excessive voltage is built up across the inductive and capacitive components of the circuit, which may cause damage.
The series resonant frequency of the quartz crystal can be calculated by using the following formula.
What is the parallel resonant frequency?
In a parallel circuit that consists of L and C elements, the parallel resonant frequency is the frequency at which the parallel resonance occurs, i.e., at this frequency the inductive reactance and capacitive reactance are equal and the circuit provides higher impedance to the current flow.
The parallel resonant frequency of the quartz crystal can be calculated by using the following formula.
How to calculate the Q factor of the quartz crystal?
The Q factor of the quartz crystal can be calculated by using the following formula.
Where,
Ls = Series inductance value in nH/µH/mH/H
Cs = Series capacitance value in pF/ nF/µF/mF
Rs = Series resistance in Ω
Cp = Parallel capacitance value in pF/ nF/µF/mF
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