NUC-00 · laboratory
Decay, binding energy, Q-value, fission, fusion, Compton and Bethe–Bloch.
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27 governing sheets
Q = (m_i − m_f) c². Exothermic if Q > 0.
NuclearE ≈ 1.44 Z₁ Z₂ / (A₁^{1/3}+A₂^{1/3}) MeV. Coulomb energy of two fragments at contact.
NuclearQ = (m_a + m_b − m_c − m_d) × 931.494 MeV. Two-body fusion to two products.
Nuclearλ′ − λ = (h/m_e c)(1 − cos θ). Wavelength shift of a scattered photon.
Nucleardσ/dΩ = (r_e²/2) (ε′/ε)² (ε′/ε + ε/ε′ − sin²θ). Unpolarised Compton differential.
Nuclear−dE/dx = K z² (Z/A) (1/β²) [ln(2 m_e c² β² γ² / I) − β²]. Heavy charged particle.
NuclearT_{1/2} = ln 2 / λ. Time for half the nuclei to decay.
Decayτ = 1/λ = T_{1/2} / ln 2. The expected lifetime of one nucleus.
Decayλ_i = b_i λ, A_i = b_i A. Partial width of one decay channel.
DecayE′/E = ((A−1)/(A+1))² for a head-on elastic scatter on a nucleus of mass A.
Nuclearσ = R / (n φ). Rate per target nucleus per flux.
NuclearΔ = Z m_H + (A−Z) m_n − M. Binding energy B = Δ c².
NuclearP ~ exp(−2π η), η = Z₁ Z₂ e² / (ħ v) = Z₁ Z₂ α c / v. Barrier penetration.
Nuclear1 Ci = 3.7×10¹⁰ Bq. Historical unit versus the SI becquerel.
DecayR ≈ 0.31 E^{3/2} cm for α in air at STP (E in MeV). Bragg–Kleeman sketch.
NuclearS(x) ≈ S₀ / (1 − x/R)^{0.4} for x < R. A pedagogical Bragg curve.
Nuclearσ_a = σ₀ (v₀ / v). Thermal capture falls as 1/velocity.
NuclearE_th = 2 m_e c² (1 + m_e/M) = 1.022 (1 + m_e/M) MeV. Photon in the field of mass M.
Nuclearlog₁₀ T_{1/2} = a + b / √Q. α half-life versus decay energy.
DecayV_C = 1.44 Z₁ Z₂ / (R₁+R₂) MeV with R = 1.2 A^{1/3} fm.
NuclearR = R₀ A^{1/3}. The liquid-drop size of a nucleus.
Nucleark∞ = η ε p f. Infinite-medium multiplication.
Nuclearρ = (k−1)/k, $ = ρ/β. Dollars of reactivity in units of the delayed fraction β.
Nuclearδ = ±12 / √A MeV (even–even +, odd–odd −, odd A → 0). Weizsäcker pairing.
NuclearN = N0 e^{−λt}, A = λ N. Half-life T½ = ln2 / λ.
DecayB/A ≈ a_v − a_s A^{−1/3} − a_c Z² A^{−4/3}. The Weizsäcker sketch without pairing/asymmetry.
DecayThe expected number of decays per second. 1 Bq = 1 s⁻¹.
Decay