Macroscopic transport cross section from macroscopic scattering cross section

Macroscopic transport cross section can be found using the macroscopic scattering cross section and the averaged cosine of the scattering angle.

Links:

  1. NuclearPower.

  2. ScienceDirect, neutron transport.

macroscopic_scattering_cross_section

macroscopic_cross_section of scattering.

Symbol:

Sigma_s

Latex:

\(\sigma_\text{s}\)

Dimension:

1/length

average_scattering_angle_cosine

Average of the cosine of the angle at which neutrons are scattered in the medium in the lab system.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

dimensionless

macroscopic_transport_cross_section

macroscopic_cross_section of neutron transport (i.e. the movement of neutrons through the material).

Symbol:

Sigma_tr

Latex:

\(\Sigma_\text{tr}\)

Dimension:

1/length

law

Sigma_tr = Sigma_s * (1 - mu)

Latex:
\[\Sigma_\text{tr} = \sigma_\text{s} \left(1 - \mu\right)\]