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How to Calculate Diffusion Coeff

What is Diffusion Coeff?

Diffusion coefficient (D) describes rate at which atoms/molecules move through material; temperature-dependent (Arrhenius).

Formula

Calculate D = D₀ exp(-Ea/kT)
D
D₀ exp(-Ea/kT) — D₀ exp(-Ea/kT)
Ea
Ea value — Variable used in the calculation

Step-by-Step Guide

  1. 1Input temperature, activation energy, pre-exponential factor
  2. 2Calculate D = D₀ exp(-Ea/kT)
  3. 3Results show diffusion rate at given temp

Worked Examples

Input
Carbon in steel at 800°C
Result
D ≈ 10⁻¹² m²/s (extremely slow at room temp, faster when hot)

Common Mistakes to Avoid

  • Using wrong temperature (K not °C)
  • Neglecting Arrhenius relationship

Frequently Asked Questions

Why is diffusion important?

Controls carburizing, doping, sintering, creep; essential for heat-treatment design.

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