RAD-00 · laboratory
Beer, Compton, Klein–Nishina, Bragg–Gray, KERMA and stopping power.
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34 governing sheets
E′ = E / (1 + (E/m_e c²)(1−cosθ)). Photon energy after Compton scatter.
Attenuationσ/σ_T ≈ (3/4)[ (1+k)/k³ ((2+2k)/(1+2k) − ln(1+2k)/k) + ln(1+2k)/(2k) − (1+3k)/(1+2k)² ].
AttenuationD_med / D_gas = (S/ρ)_med / (S/ρ)_gas. Gas cavity in a medium.
DosimetryK = Ψ (μ_tr / ρ). Kinetic energy released per unit mass.
DosimetryS_col = −dE/dx. Energy lost per path by a charged particle.
DosimetryI = B I₀ e^{−μ x}. Broad-beam transmission with scatter build-up B ≥ 1.
AttenuationI = I₀ exp(−(μ/ρ) ρ x). Density-independent attenuation coefficient.
AttenuationHVL = ln 2 / μ. Thickness that halves a narrow beam.
AttenuationTVL = ln 10 / μ ≈ 3.32 HVL. Thickness that cuts a narrow beam by ten.
Attenuationσ_pair ∝ Z² ln(E / 2 m c²) above 1.022 MeV. High-energy photon channel.
Attenuationτ ∝ Z⁴ / E³. Photoelectric cross section sketch between edges.
Attenuationσ_R ∝ Z² / E². Coherent scatter, no energy loss.
AttenuationH = D w_R. Radiation weighting turns gray into sievert.
DosimetryΦ = N / A, Ψ = Φ E. Number and energy fluence through an area.
DosimetryX = Q / m_air. 1 R = 2.58×10⁻⁴ C/kg. Charge freed in air.
DosimetryD = E / m. One gray is one joule per kilogram.
DosimetryLET_Δ = (dE/dl)_Δ. Restricted stopping, δ-rays below cutoff Δ kept local.
DosimetryR ≈ E / S̄. Continuous-slowing-down range from a mean stopping power.
DosimetryE = E₀ e^{−x/X₀}. High-energy electron energy in a radiator.
AttenuationI(r) = I(r₀) (r₀/r)². Point-source geometric dilution.
DosimetryD = Ψ (μ_en / ρ). Collision kerma under CPE equals absorbed dose.
Dosimetryλ_C = h / (m_e c) = 2.426 pm. The scale of Compton kinematics.
AttenuationD = K (1 − g) under charged-particle equilibrium. Radiative fraction g.
DosimetryK_air = X (W/e) / (1−g). Exposure converted with 33.97 J/C.
DosimetryNarrow-beam exponential.
RadiationGray = J/kg.
RadiationICRP wR: photons 1, α 20.
RadiationλC = 2.426 pm.
RadiationPoint-source fluence.
RadiationScatter in broad beam.
RadiationLegacy, air ionisation.
RadiationStraight-ahead slowing down.
RadiationCavity to medium.
RadiationBethe log term.
Radiation