Temperature Dependent Diffusion Coefficient Calculator

Calculate Diffusion Coefficient







Formula

The formula to calculate the Diffusion Coefficient is:

\[ D = D_0 \cdot e^{\frac{-Q_d}{RT}} \]

Definition

The Diffusion Coefficient is the proportionality factor \(D\) in Fick's law. The Pre-exponential Factor is used to calculate the diffusion coefficient. The Activation Energy for Diffusion is the energy required to produce the diffusive motion of an atom. The Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. The Temperature is the degree or intensity of heat present in a substance or object, measured in Kelvin.

Example Calculation

Let's assume the following values:

Using the formula:

\[ D = 0.0001 \cdot e^{\frac{-2.0988523023 \times 10^{-19}}{8.314 \cdot 85}} \approx 0.0001 \]

The Diffusion Coefficient is approximately 0.0001 Square Meter per Second.

Conversion Chart

Pre-exponential Factor (Square Meter per Second) Activation Energy (Joules) Temperature (Kelvin) Diffusion Coefficient (Square Meter per Second)
9.0E-5 2.0988523023E-19 85 0.000090000000000
0.0001 2.0988523023E-19 85 0.000100000000000
0.00011 2.0988523023E-19 85 0.000110000000000