Semiconductor Monolithic 3d Inter Tier Via Resistance Calculator

Infer actual equivalent single inter-tier via resistance from matched equal-parallel clusters after independent cluster contact subtraction, signed mismatch retained; not cylindrical copper geometry resistance.

Description

Equal parallel via clusters combine several paths and a separate cluster contact contribution.

Equal parallel via clusters combine several paths and a separate cluster contact contribution.1

Removing the contact term and scaling by path count infers a conditional single-via resistance.

When to use Semiconductor Monolithic 3d Inter Tier Via Resistance 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 Monolithic 3d Inter Tier Via Resistance Calculator and understand its results

  1. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
  2. Enter observedIntertierViaCount, observedParallelViaClusterOhms, observedIndependentClusterContactOhms, following the field table and calculation rules below, then run the tool.
  3. Read inferredSingleIntertierViaOhms. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
  4. 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 fieldMeaningValue typeRequirement
observedIntertierViaCountObserved intertier via countlist of numberRequired
observedParallelViaClusterOhmsObserved parallel via cluster ohmslist of numberRequired
observedIndependentClusterContactOhmsObserved independent cluster contact ohmslist of numberRequired

Use nonempty aligned lists, positive cluster resistance, nonnegative contact resistance, and safe-integer via counts from 1 to 1,000,000. Subtract the independently measured contact resistance and multiply by count. Negative inferred resistances remain visible as mismatches.

Rsingle_i=(Rcluster_i−Rcontact_i)×viaCount_i

Read these symbols with the field meanings and branch or reference rules above.

Output fieldMeaningValue type
inferredSingleIntertierViaOhmsInferred single intertier via ohmslist of number
json
{
  "input": {
    "observedIntertierViaCount": [
      2,
      4
    ],
    "observedParallelViaClusterOhms": [
      1,
      2
    ],
    "observedIndependentClusterContactOhms": [
      0.1,
      0.2
    ]
  },
  "output": {
    "inferredSingleIntertierViaOhms": [
      1.8,
      7.2
    ]
  }
}

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 Cu Cu Bonding Resistance Calculator: Four-wire current-voltage records can separate a contact resistance slope from a voltage offset. Keeping the free intercept avoids treating every observed voltage as pure resistive drop. For a complementary step, use Semiconductor AlGaN Gan Hemt Contact Resistance Calculator: A transmission-line-method trace separates a single-contact resistance contribution from a sheet-resistance slope. Its interpretation depends on matched contact width and independently selected linear measurements.

References

  1. Semiconductor Monolithic 3d Inter Tier Via Resistance Calculator — tool.io

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