Semiconductor Mems Resonator Quality Factor Calculator
Extract MEMS Q from actual amplitude ringdown (Q=πfτ amplitude), not frequency/linewidth optical Q or energy-decay factor-of-two convention.
Description
Amplitude ringdown measures how a mechanical oscillation decays after excitation.
Amplitude ringdown measures how a mechanical oscillation decays after excitation.1
Its decay time and resonance frequency define Q using an amplitude convention that differs from energy-decay time.
When to use Semiconductor Mems Resonator Quality Factor Calculator
Use this tool when you need to calculate the stated measurement summary or conditional model from matched observations. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
How to use Semiconductor Mems Resonator Quality Factor Calculator and understand its results
- Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
- Enter observedMemsRingdownTimesSeconds, observedMemsAmplitude, observedMemsFrequencyHz, following the field table and calculation rules below, then run the tool.
- Read extractedAmplitudeDecaySeconds, extractedMemsRingdownQ. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
- Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedMemsRingdownTimesSeconds | Observed MEMS ringdown times seconds | list of number | Required |
| observedMemsAmplitude | Observed MEMS amplitude | list of number | Required |
| observedMemsFrequencyHz | Observed MEMS frequency hz | number | Required |
Use nonnegative times, positive amplitudes, and positive frequency. Fit natural-log amplitude against time with a free intercept, require a negative fitted slope, and return τ=−1/slope and Q=πfτ.
The regression helper accepts 2–10000 aligned finite pairs with nonzero predictor variance. It fits ordinary least squares with a free intercept using shifted coordinates; samples need not be sorted unless this tool additionally requires it. R² is clamped to [0,1] and is one for constant responses. Transformed fits use the stated log or reciprocal predictor/response basis; R² is a fit summary rather than a confidence interval.
ln(A)=a+bt; τ=−1/b; Q=πfτ Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| extractedAmplitudeDecaySeconds | Extracted amplitude decay seconds | number |
| extractedMemsRingdownQ | Extracted MEMS ringdown q | number |
{
"input": {
"observedMemsRingdownTimesSeconds": [
0,
1,
2
],
"observedMemsAmplitude": [
1,
0.5,
0.25
],
"observedMemsFrequencyHz": 2
},
"output": {
"extractedAmplitudeDecaySeconds": 1.4426950408889634,
"extractedMemsRingdownQ": 9.064720283654387
}
}Limitations and assumptions
Measurements, branch identification, units, and model applicability must be independently established. Results do not supply universal material constants, a complete physical model, or operating-condition approval.
Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected. Arrays must be dense, with no missing cells. Numeric lists allow at most 10000 entries, subject to smaller tool-specific bounds above.
Alternative or Complementary methods
For a related task, use Semiconductor Nems Resonant Frequency Calculator: A mechanical mode has an effective mass and modal stiffness determined by its geometry and boundary conditions. Their harmonic oscillator ratio gives a conditional NEMS resonance frequency. For a complementary step, use Semiconductor Nems Mass Sensitivity Calculator: Mass-loading sensitivity describes the measured change in resonant frequency per added mass. Referring observed frequency noise through that slope estimates an input mass-noise scale without establishing a detection guarantee.
References
Similar or alternative tools
- Semiconductor Nems Resonant Frequency Calculator
A mechanical mode has an effective mass and modal stiffness determined by its geometry and boundary conditions. Their harmonic oscillator ratio gives a conditional NEMS resonance frequency.
- Semiconductor Nems Mass Sensitivity Calculator
Mass-loading sensitivity describes the measured change in resonant frequency per added mass. Referring observed frequency noise through that slope estimates an input mass-noise scale without establishing a detection guarantee.