Quartz Crystal Parameter Calculator | Q-factor, Frequency

The Quartz Crystal Parameter Calculator is designed to compute essential parameters of quartz crystals used in electronic circuits, including the Q-factor, series and parallel resonance frequencies, and the crystal pulling factor. These parameters are vital for understanding and optimizing the performance of quartz crystal oscillators in various applications such as timing, frequency control, and stabilization in electronic devices.

Calculation Formula

The calculator uses fundamental equations for quartz crystal parameters that involve the series resistance (Rs), series capacitance (Cs), parallel capacitance (Cp), and series inductance (Ls) to determine:

• Series resonance frequency (Fs)
• Parallel resonance frequency (Fp)
• Q-factor
• Crystal pulling factor

Example Calculation

Given:

• Rs = 10.662 Ohm
• Cs = 25.470 fF
• Cp = 6.3 PF
• Ls = 8.692 mH

The outputs will include the series resonance frequency, parallel resonance frequency, Q-factor, and crystal pulling factor, which are critical for the crystal's application in RF circuits.

Importance and Usage Scenarios

These calculations are essential for:

• Designing and optimizing crystal oscillators in RF and wireless communication systems.
• Ensuring the oscillator operates at the desired frequency with minimal phase noise and stability over temperature.
• Understanding the interaction between the crystal and the oscillator circuit, particularly the effects of crystal pulling.

Common FAQs

1. What is the Q-factor, and why is it important?

   • The Q-factor indicates the selectivity or quality of the quartz crystal oscillator, with higher values signifying less energy loss relative to the stored energy. It is crucial for determining the stability and purity of the oscillator's output signal.

2. How does the series and parallel resonance frequency differ?

   • The series resonance frequency is where the crystal has the lowest impedance, ideal for maximum oscillation. The parallel resonance frequency is slightly higher, where the impedance is much higher, useful for filtering applications.

3. What is the crystal pulling factor?

   • The crystal pulling factor quantifies how much the resonance frequency can be "pulled" or adjusted by varying the load capacitance in the oscillator circuit, affecting the tuning range of the crystal.