Semiconductor Kirk Effect Onset Current Calculator

Ideal Kirkcharge-density equality J≈qNcvsatwith SIvolume density and velocity; neglects field profile, recombination and device geometry. Not an actual measured onset, current rating or safe operating limit.

Description

A simple Kirk-onset model combines collector doping with saturated drift velocity and elementary charge.

A simple Kirk-onset model combines collector doping with saturated drift velocity and elementary charge.^{[1, 2]}

Its result is a conditional current density rather than total current or an independently detected onset.

When to use Semiconductor Kirk Effect Onset Current Calculator

Use this tool to obtain conditionalKirkOnsetCurrentDensityAmpsPerSquareMeter from the supplied records using the stated calculation. Establish the device or material, operating point, units and independently applicable measurement or model calibration.

How to use Semiconductor Kirk Effect Onset Current Calculator and understand its results

Establish the device or material, operating point, units and independently applicable measurement or model calibration.
Enter independentlyEstablishedCollectorDopingPerCubicMeter, independentlyEstablishedSaturatedVelocityMetersPerSecond, using the field meanings and rules below, then run the tool.
Read result.conditionalKirkOnsetCurrentDensityAmpsPerSquareMeter. Use the units and sign conventions below, and review any unknown records separately.
Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.

Input field	Meaning	Value type	Requirement
independentlyEstablishedCollectorDopingPerCubicMeter	Independently established collector doping per cubic meter	number	Required
independentlyEstablishedSaturatedVelocityMetersPerSecond	Independently established saturated velocity meters per second	number	Required

Require nonnegative independently established collector doping in m−3 and positive saturated velocity in m/s. Multiply by the exact elementary charge 1.602176634e−19 C for conditional current density in A/m². No device area or measured onset is inferred.

J_onset=1.602176634e−19×collectorDopingPerM3×saturatedVelocityMPerS

Use the matching field units and the exact boundary, ordering and reference rules above.

Output field	Meaning	Value type
result	Qualified observed calculation or explicit reference	object
result.conditionalKirkOnsetCurrentDensityAmpsPerSquareMeter	Elementary charge times collector doping times saturated velocity, in A/m².	number

json

{
  "input": {
    "independentlyEstablishedCollectorDopingPerCubicMeter": 1e+21,
    "independentlyEstablishedSaturatedVelocityMetersPerSecond": 100000
  },
  "output": {
    "result": {
      "conditionalKirkOnsetCurrentDensityAmpsPerSquareMeter": 16021766.34
    }
  }
}

Limitations and assumptions

Device structure, material state, operating conditions and calibration determine applicability. The result does not infer missing physical parameters, verify a transport mechanism or validate a fabricated device model.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related step, use Semiconductor Punch Through Factor Calculator: A punch-through current ratio compares independently separated post-threshold and matched pre-threshold currents. For a complementary comparison, use Semiconductor High Injection Levelfactor Calculator: An injection-level ratio compares excess minority carriers with matched equilibrium majority density.

References

Semiconductor Kirk Effect Onset Current Calculator — tool.io
Elementary charge: exact SI value — National Institute of Standards and Technology

Similar or alternative tools

Semiconductor Punch Through Factor Calculator
A punch-through current ratio compares independently separated post-threshold and matched pre-threshold currents.
Semiconductor High Injection Levelfactor Calculator
An injection-level ratio compares excess minority carriers with matched equilibrium majority density.