Geometric buckling from multiplication factors and diffusion area

Geometric buckling can be expressed using infinite and effective multiplication factors and diffusion area of the neutrons.

Links:

  1. Wikipedia, first part of second equation.

infinite_multiplication_factor

infinite_multiplication_factor.

Symbol:

k_inf

Latex:

\(k_{\infty}\)

Dimension:

dimensionless

effective_multiplication_factor

effective_multiplication_factor.

Symbol:

k_eff

Latex:

\(k_\text{eff}\)

Dimension:

dimensionless

diffusion_area

neutron_diffusion_area.

Symbol:

L^2

Latex:

\(L^{2}\)

Dimension:

area

geometric_buckling

geometric_buckling.

Symbol:

B_g^2

Latex:

\(B_\text{g}^2\)

Dimension:

1/area

law

B_g^2 = (k_inf / k_eff - 1) / L^2

Latex:
\[B_\text{g}^2 = \frac{\frac{k_{\infty}}{k_\text{eff}} - 1}{L^{2}}\]