Macroscopic cross section from microscopic cross section and number density

Macroscopic cross section is equal to the product of the microscopic cross section, i.e. the effective target area where the nucleus interacts with an incident neutron, and the atomic number density (concentration).

Links:

  1. NuclearPower.

  2. ScienceDirect.

microscopic_cross_section

Microscopic cross_section.

Symbol:

sigma

Latex:

\(\sigma\)

Dimension:

area

number_density

number_density of particles.

Symbol:

n

Latex:

\(n\)

Dimension:

1/volume

macroscopic_cross_section

macroscopic_cross_section.

Symbol:

Sigma

Latex:

\(\Sigma\)

Dimension:

1/length

law

Sigma = sigma * n

Latex:
\[\Sigma = \sigma n\]