ToolHub

Nuclear Physics Calculator

Calculate binding energy, alpha decay feasibility, and nuclear reaction cross-sections using advanced nuclear physics formulas. Supports both SI and nuclear units (MeV, fm) with detailed step-by-step analysis and visualization.

Formulas Used

  • Binding Energy: B = aV·A − aS·A^(2/3) − aC·Z(Z−1)/A^(1/3) − aA(Z−N)²/A
  • Mass Defect: Δm = Z·mₚ + N·mₙ − M
  • Binding per Nucleon: B/A
  • Alpha Decay: Q = M_parent − M_daughter − Mα
  • Cross Section: σ = πr²
  • Coulomb Barrier: Vc = (Z₁Z₂e²)/(4πϵ₀r)

Use Cases

  • - Nuclear stability analysis (binding energy curve)
  • - Radioactive decay prediction (alpha decay)
  • - Particle collision and reaction probability
  • - Physics assignments and lab calculations
  • - Nuclear reactor and astrophysics simulations

Binding Energy Inputs

Run a calculation to visualize results.

Calculation History