Semiconductor Through Silicon Via Aspect Ratio Calculator

Audit measured TSV depth/minimum diameter inventory against verified aspect-ratio criterion; not electrical cylinder resistance, etched fill suitability or manufacturing process settings.

Description

A TSV aspect ratio compares measured depth with the minimum diameter.

A TSV aspect ratio compares measured depth with the minimum diameter.1

Screening a matched inventory against a supplied maximum ratio highlights dimensional review candidates.

When to use Semiconductor Through Silicon Via Aspect Ratio Calculator

Use this tool when you need to reproduce the stated calculation from measured records or independently selected model inputs. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.

How to use Semiconductor Through Silicon Via Aspect Ratio Calculator and understand its results

  1. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
  2. Enter observedTsvDepthsMicron, observedTsvMinimumDiametersMicron, callerVerifiedMaximumAspectRatio, following the field table and rules below, then run the tool.
  3. Read observedTsvDepthDiameterRatios, viasAboveCallerAspectRatio. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
  4. Correct reported input issues and run again. For a successful result, check the stated evidence coverage and assumptions before using it in your review.
Input fieldMeaningValue typeRequirement
observedTsvDepthsMicronObserved TSV depths micronlist of numberRequired
observedTsvMinimumDiametersMicronObserved TSV minimum diameters micronlist of numberRequired
callerVerifiedMaximumAspectRatioCaller verified maximum aspect rationumberRequired

Use aligned nonempty positive depths and minimum diameters in micrometres and a positive maximum ratio. Divide each depth by diameter and return indices strictly above the maximum; equality is not flagged.

ratio_i=depth_i/minDiameter_i; review_i=ratio_i>maximum

Symbols follow the input and output meanings and the calculation rules above.

Output fieldMeaningValue type
observedTsvDepthDiameterRatiosObserved TSV depth diameter ratioslist of number
viasAboveCallerAspectRatioVias above caller aspect ratiolist of number
json
{
  "input": {
    "observedTsvDepthsMicron": [
      10,
      20
    ],
    "observedTsvMinimumDiametersMicron": [
      2,
      4
    ],
    "callerVerifiedMaximumAspectRatio": 6
  },
  "output": {
    "observedTsvDepthDiameterRatios": [
      5,
      5
    ],
    "viasAboveCallerAspectRatio": []
  }
}

Limitations and assumptions

Matched measurement branch, material state, calibration, and conventions must be independently established. Results do not certify device performance or operating conditions.

Missing required fields, unknown fields, wrong types, and violated calculation rules are input issues. Numeric values must be finite; nonfinite results are rejected. Evidence arrays must be dense, with no missing cells. Numeric observation lists allow at most 10,000 entries, subject to any smaller bounds stated above.

Alternative or Complementary methods

For a related review, use Semiconductor Sheet Resistance Implant Dose Calculator: An implanted sheet dose gives sheet conductance only after activation and mobility are established. This model uses integrated areal dose rather than a uniform volume density and film thickness. For a complementary step, use Semiconductor Redistribution Layer Resistance Calculator: A redistribution path with different section widths has a series resistance budget. Measured sheet resistances and a separate via inventory make each contribution explicit.

References

  1. Semiconductor Through Silicon Via Aspect Ratio Calculator — tool.io

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