Key formulae — Quantum and nuclear physics

Synopsis of quantum and nuclear physics formulae (ch. 21–22). Derivations and limits of validity are in the corresponding chapters.

Photon $E = hf \qquad p = \frac{h}{\lambda}$

De Broglie wavelength $\lambda = \frac{h}{mv}$

Photoelectric effect $E_{k,\max} = hf - W_0$

Bohr energy levels (hydrogen) $E_n = -\frac{13{,}6\;\text{eV}}{n^2}$

Uncertainty principle $\Delta x\cdot\Delta p \geq \frac{\hbar}{2}$

Radioactive decay

$N(t) = N_0\,e^{-\lambda t} \qquad T_{1/2} = \frac{\ln 2}{\lambda}$

Mass defect and binding energy $\Delta m\cdot c^2 = E_\text{legame}$

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Topics: Quantum physics · Nuclear physics Concepts: Photoelectric effect · De Broglie wavelength · Radioactive decay