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.

Motional capacitance (F)

Required number input.

Series quality factor

Required number input.

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

The resulting motional series resistance returned as a number.

• Oscillator estimates use nominal component values and simplified resonator models. Load capacitance, parasitics, drive level, startup margin, phase noise, temperature, aging, pulling, and amplifier nonlinearities determine the realized frequency and stability.
• 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 Quality Factor

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

• Crystal Motional Capacitance

  Infer motional capacitance of a Butterworth–Van Dyke crystal model from series and unloaded antiresonance frequencies plus shunt capacitance.

• ESR From Dissipation Factor

  Compute equivalent series resistance as dissipation factor / (2 x PI x frequency x capacitance).