Cross section of interaction in model of hard spheres

The model used in this law assumes atoms to be hard spheres, in which case the cross section of the interaction between the atoms is proportional to the square of the distance of greatest convergence between the atoms.

Conditions:

  1. All atoms are spheres of equal radius.

Links:

  1. Wikipedia, second formula.

cross_section

cross_section of interaction of particles.

Symbol:

sigma

Latex:

\(\sigma\)

Dimension:

area

distance_of_convergence

euclidean_distance of greatest convergence of two colliding particles. In other words, this is the diameter of spheres which approximate the atoms.

Symbol:

d

Latex:

\(d\)

Dimension:

length

law

sigma = pi * d^2

Latex:
\[\sigma = \pi d^{2}\]