Electromagnetic Radiation: $c = \nu\lambda \qquad E = h\nu = \frac{hc}{\lambda} \qquad h = 6.626 \times 10^{-34} \text{ J·s}$

Photoelectric Effect: $KE_{max} = h\nu - h\nu_0 \qquad \phi = h\nu_0 \qquad eV_0 = h\nu - \phi$

Rydberg Formula: $\frac{1}{\lambda} = R_H Z^2\left(\frac{1}{n_1^2} - \frac{1}{n_2^2}\right) \qquad R_H = 1.097 \times 10^7 \text{ m}^{-1}$

Bohr Model: $E_n = -\frac{13.6Z^2}{n^2} \text{ eV} \qquad r_n = \frac{0.529n^2}{Z} \text{ Å} \qquad v_n = \frac{2.18 \times 10^6 Z}{n} \text{ m/s}$ $L = \frac{nh}{2\pi} \qquad T_n \propto \frac{n^3}{Z^2} \qquad \Delta E = 13.6Z^2\left(\frac{1}{n_1^2} - \frac{1}{n_2^2}\right) \text{ eV}$

Spectral Lines: $\text{Lines} = \frac{n(n-1)}{2}$

de Broglie: $\lambda = \frac{h}{mv} = \frac{h}{p} \qquad \lambda = \frac{h}{\sqrt{2mKE}} = \frac{h}{\sqrt{2meV}}$

Heisenberg Uncertainty: $\Delta x \cdot \Delta p \geq \frac{h}{4\pi} \qquad \Delta x \cdot \Delta v \geq \frac{h}{4\pi m} \qquad \Delta E \cdot \Delta t \geq \frac{h}{4\pi}$

Quantum Numbers: $l = 0, 1, 2, \ldots, (n-1) \qquad m_l = -l, \ldots, 0, \ldots, +l \qquad m_s = \pm\frac{1}{2}$ $\text{Orbitals per subshell} = 2l+1 \qquad \text{Electrons per subshell} = 2(2l+1) \qquad \text{Electrons per shell} = 2n^2$

Nodes: $\text{Total} = n-1 \qquad \text{Angular} = l \qquad \text{Radial} = n-l-1$

Virial Theorem: $KE = -E_{total} \qquad PE = 2E_{total} \qquad hc = 1240 \text{ eV·nm (shortcut)}$