Parabolic Oxide Thickness Calculator

Compute diffusion-limited thermal oxide thickness in the parabolic regime as sqrt(B·t).

Description

Compute diffusion-limited thermal oxide thickness in the parabolic regime as sqrt(B·t).

Parabolic Oxide Thickness Calculator is a focused tool for the following task. Compute diffusion-limited thermal oxide thickness in the parabolic regime as sqrt(B·t). It reports Oxide thickness from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Parabolic Oxide Thickness

Use this semiconductor calculation for first-order device, material, fabrication, interconnect, packaging, or reliability estimates when every coefficient and unit convention is known.

Parabolic rate constant B (nm^2/hour)
Required number in nm^2/hour. Parabolic rate constant B at the oxidation temperature. Must be greater than 0 nm²/hour.
Oxidation time (hour)
Required number in hour. Duration of the thermal oxidation. Must be at least 0 hour; 0 yields 0 nm.

The cited overview of Semiconductor device supplies background for the terminology and domain context used by this tool.1

How Parabolic Oxide Thickness works

Compute diffusion-limited thermal oxide thickness in the parabolic regime as sqrt(B·t). Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Oxide thickness (nm)
Returned number in nm. Diffusion-limited oxide thickness in the parabolic regime.

Limitations and assumptions

  • Material composition, geometry, process history, temperature, electric field, bias, interfaces, parasitics, and fitted parameter ranges can invalidate a compact semiconductor model.
  • Parabolic rate constant B must be at least 5e-324.
  • Oxidation time must be at least 0.
  • Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Alternative or Complementary approaches

Compare the estimate with measured process data, current device documentation, and a higher-fidelity circuit, field, thermal, quantum, or TCAD model when the decision requires it.

References

  1. Semiconductor device — Wikipedia contributors

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