Cross section of interaction in elastic interaction model

The effective cross section is a physical quantity characterizing the probability of transition of a system of two interacting particles to a certain final state, a quantitative characteristic of the acts of collision of particles of a stream hitting a target with target particles. The effective cross-section has the dimension of the area.

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