Nuclear Engineering / Subcategory
Reactor Physics
Reactor physics calculators and formulas for nuclear binding energy and mass-energy relations. Covers mass defect, binding energy per nucleon, and E=mc² calculations.
21Formulas
All levels Difficulty
Updated Oct 2026
← All Nuclear Engineering (85) Reactor Physics (21)
Fundamental
Multiplication Factor Calculator
k = (Production) / (Absorption + Leakage)
Fundamental
Excess Reactivity
ρ = (k - 1) / k
Fundamental
Thermal Neutron Velocity
v = sqrt(2E/m)
Fundamental
Reactor Power Density
P/V = Σ_f Φ E_f
Fundamental
Four Factor Formula
k = η × ε × p × f
Fundamental
Q-value of a Nuclear Reaction
Q = (Σm_reactants - Σm_products) * c²
Fundamental
Neutron Generation Time
Λ = l / k_eff
Fundamental
Conversion Ratio (Breeding)
CR = Fissile Atoms Produced / Fissile Atoms Consumed
Fundamental
Neutron Diffusion Length
L = sqrt(D / Σa)
Fundamental
Six-Factor Formula (Infinite Multiplication Factor)
k∞ = η * f * p * ε * P_FNL * P_TNL
Fundamental
Critical Mass (Bare Sphere, Simplified)
M_c ≈ (4/3)*π*R_c³*ρ
Fundamental
Fuel Burnup
BU = Energy Produced / Mass of Fuel
Fundamental
Thermal Utilization Factor
f = Σa_fuel / Σa_total
Fundamental
Neutron Mean Free Path
λ = 1 / Σ
Fundamental
Macroscopic Cross Section
Σ = N * σ
Fundamental
Reactivity
ρ = (k_eff - 1) / k_eff
Fundamental
Reactor Period
T = τ / (k_eff - 1)
Fundamental
Effective Multiplication Factor (k-eff)
k_eff = (neutrons produced) / (neutrons lost, one generation)
Fundamental
Neutron Flux
φ = n * v
Fundamental
Nuclear Binding Energy
E_B = Δmc²
Fundamental
Mass-Energy Equivalence
E = mc²