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sci.neutron-diffusion-critical-radius Calculator
Calculates the critical radius and critical mass of a fissile material assembly using neutron diffusion theory: r_c = π × L_eff/√(k∞−1). Critical mass of bare ²³⁵U sphere ≈ 52 kg (r_c = 8.7 cm) — a beryllium neutron reflector reduces this to ~15 kg by returning escaped neutrons.
Inputs
M2 Cm2
Two-dimensional surface extent (m²). For complex shapes, break into simpler sub-shapes and sum.
Nu Fission
Reference formula or conversion factor shown for context.
Sigma F Per Cm
Reference formula or conversion factor shown for context.
Sigma A Per Cm
Reference formula or conversion factor shown for context.
Results
k∞ (infinite multiplication)
Gratuity amount — the suggested amount to add to the bill as a service tip.
critical buckling B²_crit (cm⁻²)
Sample size or count used in the calculation.
critical sphere radius R_crit (cm)
The computed radius -- half the diameter.
B²_crit = (k∞−1)/M²
Reference formula or conversion factor shown for context.
migration area M² = L² + τ
The proportional relationship between two quantities.