Nuclear Physics Formulae

Atomic structure

\( \pmb{A = Z + N} \) - Mass number

\( \pmb{\Delta m = (Zm_p + Nm_n) - M_n} \) - Mass defect

\( \pmb{E_b = \Delta m c^2 \text{ = } (Zm_p + Nm_n - M_n)c^2} \) - Binding energy

Radioactive decay

\( \pmb{N = N_0 \cdot 2^{ - \frac{t}{T}}} \) - Law of radioactive decay

Nuclear reactions

\( \pmb{Q = (m_x + m_a - m_y - m_b)c^2} \) - Heat released in nuclear reactions

\( \pmb{{}^{A}_Z X \overset{\alpha}{\rightarrow} {}^{A-4}_{Z-2} Y + {}^{4}_{2} He} \) - Alpha decay

\( \pmb{{}^{A}_Z X \overset{\beta}{\rightarrow} {}^{A}_{Z+1} Y + {}^{0}_{-1} e } \) - Beta decay