Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

Series resonance frequency (Hz)

Required number input.

Unloaded antiresonance frequency (Hz)

Required number input.

Shunt capacitance (F)

Required number input.

Infer motional capacitance of a Butterworth–Van Dyke crystal model from series and unloaded antiresonance frequencies plus shunt capacitance. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Motional capacitance (F)

The resulting motional capacitance returned as a number.

• Capacitance, ESR, leakage, ripple rating, lifetime, and self-resonance vary with frequency, temperature, DC bias, aging, dielectric, package, and mounting. Nominal capacitance alone does not determine in-circuit impedance or reliability.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

• Crystal Series Resistance

  Infer crystal motional series resistance from series frequency, motional capacitance, and unloaded series quality factor.

• Crystal Motional Inductance

  Calculate motional inductance from a crystal's series-resonant frequency and motional capacitance.

• Crystal Quality Factor

  Calculate a crystal motional branch's unloaded series Q from series frequency, motional inductance, and series resistance.