Hydrogen Databasehttps://doi.org/10.18419/darus-2118Schimeczek, ChristophDaRUS2021-08-242021-08-24T16:58:30Z<h1>Hydrogen Database</h1>
This dataset contains energies of hydrogen states as well as transition energies and dipole strengths in dependence of the magnetic field strength given in <i>β</i>, where <i>β</i> = <i>B</i> / <i>B</i><sub>0</sub> with the reference magnetic field strength <i>B</i><sub>0</sub> = 4.70103×10<sup>5</sup> T. The energies are given in atomic Rydberg units. All results were calculated with the “H2db” tool presented in [C. Schimeczek and G. Wunner, Comp. Phys. Commun. 185, 614 (2014)].
<h2>Energies</h2>
The file <code>energies.7z</code> contains energies in dependence of β (ranging from <i>β</i> ≈ 0 to <i>β</i> ≈ 1000) for the lowest 30 hydrogen states of each symmetry subspace defined by the magnetic quantum number <i>m</i> = 0...-4, <i>z</i>-parity <i>π<sub>z</sub></i> = ±1 and excitation number <i>ν</i>. The data points are chosen such that one can linearly interpolate between them with an accuracy of at least 10<sup>-5</sup> Rydberg energies.
<h2>Dipole Transitions</h2>
The file <code>transitions.7z</code> contains transition energies and strengths of dipole transitions in dependence of <i>β</i> for important transitions of the Lyman, Balmer, Paschen or Brackett series.PhysicsMagnetic fieldAtomic dataB-splineFinite elementHydrogenC. Schimeczek and G. Wunner, "Accurate 2d finite element calculations for hydrogen in magnetic fields of arbitrary strength," Computer Physics Communications 185, 614 (2014)., doi, 10.1016/j.cpc.2013.09.023, https://doi.org/10.1016/j.cpc.2013.09.0232021-08-24Reiff, Johannes2021-08-18CC BY 4.0