FrameCalc is educational software. Results are for study and comparison, not medical, radiation-protection, or engineering sign-off. Fusion tools are models, not device predictions.

Grades

  • Closed-form — algebraic / closed form. Illegal inputs show an error.
  • Textbook / SI formula — named textbook formula or CODATA-style constants.
  • Numerical simulation — numerical scheme at teaching resolution.
  • Estimate / sketch — shape or order of magnitude only.

Formulas used (do not regress)

  • Relativistic rocket. Δφ = β_e ln(m₀/m)
  • Elastic collisions. Algebraic θ*; θ_lab^max by ρ; two COM branches when they exist; illegal θ shows an error
  • γe → 3e. E_γ = 4 m_e
  • Plane-wave 〈S〉. E₀²/(2 Z₀)
  • Rectangular barrier. Exact T(E), not T≡1 above V₀
  • Fresnel. TIR phases; power T with n-factors; R+T=1
  • Gaussian R(z). R(0)=∞
  • Bosch–Hale. ⟨σv⟩ only inside the published T interval
  • Child–Langmuir. Planar J ∝ V^{3/2}/d²

Estimates (14)

flrw-scale, range-bethe, fission-energy, breit-wigner, pdf-toy, wkb, finite-well, bcs-gap, spherical-harm, vector-calc, geodesic-toy, iec-yield, smith-toy, uncertainty

Regression checks: npm run test:math. Legal