Hydrogen Databasedoi:10.18419/darus-2118DaRUS2021-08-241Schimeczek, Christoph, 2021, "Hydrogen Database", https://doi.org/10.18419/darus-2118, DaRUS, V1Hydrogen Databasedoi:10.18419/darus-2118Schimeczek, ChristophDaRUSWunner, GünterSchimeczek, ChristophReiff, Johannes2021-08-18PhysicsMagnetic fieldAtomic dataB-splineFinite elementHydrogenAtomic spectra<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.This data has originally been published in 2014 on the ITP1 website.C. Schimeczek and G. Wunner, "Accurate 2d finite element calculations for hydrogen in magnetic fields of arbitrary strength," Computer Physics Communications 185, 614 (2014).10.1016/j.cpc.2013.09.023C. Schimeczek and G. Wunner, "Accurate 2d finite element calculations for hydrogen in magnetic fields of arbitrary strength," Computer Physics Communications 185, 614 (2014).energies.7zapplication/x-7z-compressedREADME.txttext/plaintransitions.7zapplication/x-7z-compressed