ToolHub

Particle Physics Calculator

Perform advanced particle physics calculations including radioactive decay, scattering cross-sections, and relativistic kinematics. Analyze particle interactions, energy transformations, and motion at high speeds using both SI and particle physics units.

Formulas Used

  • Decay Law: N(t) = N₀ e^(-λt)
  • Decay Rate: R = λN
  • Rutherford Scattering: dσ/dΩ ∝ 1 / sin⁴(θ/2)
  • Hard Sphere Cross-Section: σ = πr²
  • Relativistic Energy: E = √((pc)² + (mc²)²)
  • Four Momentum: Pμ = (E/c, p)

Use Cases

  • - Radioactive decay and half-life analysis
  • - Particle collision and scattering experiments
  • - Nuclear and high-energy physics simulations
  • - Research and academic problem solving
  • - Accelerator physics and quantum studies

Decay Rate Inputs

Calculation History