Diffusion Coefficient Calculator

Formula

The formula to calculate the Diffusion Coefficient (D) is:

\[ \text{D} = \frac{1}{f} \times k \times t \]

Where:

\( \text{D} \) is the Diffusion Coefficient (m²/s)
\( f \) is the Frictional Coefficient
\( t \) is the Absolute Temperature (K)
\( k \) is the Boltzmann Constant (\(1.380649 \times 10^{-23}\) m² kg / (s² K))

What is the Diffusion Coefficient?

The Diffusion Coefficient (D) is a measure of how quickly molecules or particles spread out over time. It is calculated based on the frictional coefficient, temperature, and the Boltzmann constant. The diffusion coefficient is typically expressed in square meters per second (m²/s).

Example Calculation

Let's consider an example:

Frictional Coefficient (f): 1.0
Absolute Temperature (t): 300 K

Using the formula to calculate the Diffusion Coefficient:

\[ \text{D} = \frac{1}{1.0} \times 1.380649 \times 10^{-23} \times 300 = 4.141947 \times 10^{-21} \, \text{m²/s} \]

This demonstrates that with a frictional coefficient of 1.0 and an absolute temperature of 300 K, the diffusion coefficient would be approximately \(4.141947 \times 10^{-21}\) m²/s.