\[R=n\sigma\phi\]
Variables
Rreaction rate (reactions/s·m³)
ntarget atom density (atoms/m³)
sigma[σ]microscopic cross section (m²)
phi[Φ]particle flux (particles/m²·s)
Description
What is this formula?
This formula calculates the nuclear reaction rate inside a material based on particle flux, target atom density, and microscopic cross section. It estimates how frequently nuclear interactions occur per unit volume.
When to use it
Use this formula when analyzing neutron interactions, reactor physics, activation analysis, shielding calculations, and particle transport problems.
Example
Given:
n = 5×10^28 atoms/m³
σ = 2×10^-28 m²
Φ = 1×10^14 particles/m²·s
Formula:
R=nσΦ
Substitution:
R=(5×10^28)(2×10^-28)(1×10^14)
Result:
R=1×10^15 reactions/s·m³
Applications
- Nuclear reactor calculations
- Neutron transport analysis
- Radiation shielding
- Activation calculations
- Particle interaction studies