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.