Mean free path of random motion

The mean free path of a molecule in random motion is its average path length between collisions.

Conditions:

1. Spherical model of molecules is assumed.

Links:

1. Wikipedia.

mean_free_path

mean_free_path estimate of molecules.

Symbol:

lambda

Latex:

\(\lambda\)

Dimension:

length

molecular_diameter

diameter of molecules.

Symbol:

D

Latex:

\(D\)

Dimension:

length

number_density

number_density of the system.

Symbol:

n

Latex:

\(n\)

Dimension:

1/volume

law

lambda = 1 / (sqrt(2) * pi * D^2 * n)

Latex:

\[\lambda = \frac{1}{\sqrt{2} \pi D^{2} n}\]