Module hydrogen

Structs§

associated_legendre: Associated Legendre polynomial P_l^m(x) via recurrence. Uses the convention without the Condon-Shortley phase (it’s included in Y_l^m).
hydrogen_energy: Hydrogen atom energy levels: E_n = -13.6 / n^2 eV.
hydrogen_orbital: Full hydrogen orbital psi_nlm(r, theta, phi).
orbital_name: Human-readable orbital name.
probability_density_3d: Probability density |psi|^2 at a point.
radial_probability: Radial probability density r^2 |R_nl(r)|^2 (probability of finding electron at radius r).
radial_wavefunction: Radial wave function R_nl(r) for hydrogen atom. Uses Bohr radius a0 = 1 (atomic units).
render_orbital_slice: Render a 2D slice of an orbital.
spherical_harmonic: Spherical harmonic Y_l^m(theta, phi).