Quartz Crystal Calculator

This calculator determines the key parameters of a quartz crystal oscillator, including the series resonance frequency, parallel resonance frequency, and quality factor. It helps analyze crystal behavior in RF and oscillator circuit design.

Formulas

F_s = 1 / (2 * π * √(L_s * C_s))

F_p = 1 / (2 * π * √(L_s * ((C_s * C_p) / (C_s + C_p))))

Q = (2 * π * F_s * L_s) / R_s

Formula Explanation

• F_s: Series resonance frequency depends on the inductance and series capacitance.
• F_p: Parallel resonance occurs due to interaction of series and parallel capacitances.
• Q: Quality factor represents how efficiently the crystal stores energy.

Example

Input: Ls = 0.03 H, Cs = 0.02 pF, Cp = 5 pF, Rs = 10 Ω

Result: Fs ≈ 6.50 MHz, Fp ≈ 6.51 MHz, Q ≈ 122,000

Who uses it

Ideal for RF designers and electronics engineers optimizing crystal oscillators for timing, filters, and frequency control circuits.