Interaction cross section in elastic interaction model

The Sutherland formula adjusts the formula of the cross section of interacting gas molecules taking into account their pairwise interactions. See Effective cross section.

Conditions:

1. The sizes of the target and field molecules are equal.

2. Applicable to gases under moderate pressure.

Links:

1. Wikipedia.

cross_sectional_area_of_interaction

cross_section of interaction of particles.

Symbol:

sigma

Latex:

\(\sigma\)

Dimension:

area

particle_diameter

diameter of a gas particle.

Symbol:

D

Latex:

\(D\)

Dimension:

length

sutherland_constant

sutherland_constant of the gas.

Symbol:

S

Latex:

\(S\)

Dimension:

temperature

temperature

temperature of the gas.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

law

sigma = pi * D^2 * (1 + S / T)

Latex:

\[\sigma = \pi D^{2} \left(1 + \frac{S}{T}\right)\]