Diffusion Length Calculator

Compute the diffusion length from a diffusivity and anneal duration. Length = sqrt(diffusivity × time).

Description

Calculate characteristic annealing diffusion length from diffusivity in nm²/hour and anneal time in hours.

Compute the diffusion length from a diffusivity and anneal duration. Length = sqrt(diffusivity × time).

When to use Diffusion Length Calculator

  • Calculate characteristic annealing diffusion length from diffusivity in nm²/hour and anneal time in hours.
  • 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

This is the √(Dt) convention; an RMS displacement defined as √(2Dt), √(4Dt), or √(6Dt) is a different quantity.

diffusion length = √(diffusivity · time)

Interpreting the result

This is the √(Dt) convention; an RMS displacement defined as √(2Dt), √(4Dt), or √(6Dt) is a different quantity.

Assumptions and limitations

  • The model assumes constant diffusivity throughout the thermal cycle and omits concentration-dependent and transient-enhanced diffusion.
  • Use parameters measured for the same material, geometry, temperature, and operating regime whenever the result informs engineering work.
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