Radioactive decay law - Graph FormulaRadioactive Decay (Half-Life, Decay Constant) $$ t_{\text h} ~=~ \ln(2) \, \lambda $$
Radioactive decay law - Graph FormulaRadioactive Decay (Activity, Decay Constant) $$ A ~=~ \lambda \, N(t) $$
Nucleus and the Number of Protons and Neutrons FormulaNucleus (Number of Protons and Neutrons) $$ A ~=~ \class{red}{Z} ~+~ \class{brown}{N} $$
Magnetischer Dipol im Magnetfeld FormulaMagnetic Dipole (Potential Energy) $$ W_{\mu} = -\boldsymbol{\mu} \cdot \class{violet}{\boldsymbol{B}} $$
Hydrogen atom - term diagram (energy levels) FormulaRydberg Formula for Hydrogen (Wavelength, Quantum Number) $$ \lambda ~=~ \frac{1}{R \, \left( \frac{1}{n^2} - \frac{1}{m^2} \right)} $$
Hydrogen atom - term diagram (energy levels) FormulaRydberg Formula for Hydrogen Atom (Frequency, Quantum Number) $$ f ~=~ R_{\text f} \, \left( \frac{1}{n^2} ~-~ \frac{1}{m^2} \right) $$
Radioactive decay law - Graph FormulaRadioactive Decay Law (Constant, Initial Number) $$ N(t) ~=~ N_0 \, \mathrm{e}^{-\lambda \, t} $$
Hydrogen atom - term diagram (energy levels) FormulaRydberg formula for hydrogen (binding energy, quantum number) $$ W ~=~ \frac{ 13.6 \, \mathrm{eV} }{ n^2 } $$