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Chemistry — Hydrogenic Orbitals

Separable wavefunction, energy and normalisation.

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\psi_{nlm}(r,\theta,\phi) = R_{nl}(r)\,Y_{lm}(\theta,\phi)

E_n = -\frac{13.6}{n^2}\ \text{eV}

|\psi|^2 = \text{probability density}

\int |\psi|^2\,d\tau = 1