Anneal Activation Fraction Calculator

Compute the fraction of dopant activated by an anneal from a first-order activation rate and anneal duration. Fraction = 1 - exp(-rate × time).

Description

Calculate dopant activation fraction from a first-order activation rate constant and anneal duration.

Compute the fraction of dopant activated by an anneal from a first-order activation rate and anneal duration. Fraction = 1 - exp(-rate × time).

When to use Anneal Activation Fraction Calculator

  • Calculate dopant activation fraction from a first-order activation rate constant and anneal duration.
  • Compare fabrication or device scenarios while holding coefficients and unit conventions constant.
  • Check a hand calculation before moving to a higher-fidelity process, circuit, or TCAD model.

How the calculation works

The rate is an effective constant: doubling time does not double activation as the result approaches one asymptotically.

activated fraction = 1 − exp(−rate · time)

Interpreting the result

The rate is an effective constant: doubling time does not double activation as the result approaches one asymptotically.

Assumptions and limitations

  • Real activation and deactivation depend on dopant species, dose, temperature history, clustering, interfaces, and solid solubility.
  • Use parameters measured for the same material, geometry, temperature, and operating regime whenever the result informs engineering work.
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