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

Diffusivity (nm^2/hour)

Required number in nm^2/hour. Diffusion coefficient of the species at the anneal temperature. Must be greater than 0 nm²/hour.

Anneal time (hour)

Required number in hour. Duration of the anneal. 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]

Compute the diffusion length from a diffusivity and anneal duration. Length = sqrt(diffusivity × time). Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Diffusion length (nm)

Returned number in nm. Characteristic diffusion length over the anneal, at least 0 nm.

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

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.

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