Hydrogen molecule in a magnetic field: The lowest states of theΠmanifold and the global ground state of the parallel configuration

Abstract

Hydrogen molecule in a magnetic field: The lowest states of the Π manifold and the global ground state of the parallel configuration The electronic structure of the hydrogen molecule in a magnetic field is investigated for parallel internuclear and magnetic field axes. The lowest states of the Π manifold are studied for spin singlet and triplet(Ms = −1) as well as gerade and ungerade parity for a broad range of field strengths 0 ≤ B ≤ 100 a.u. For both states with gerade parity we observe a monotonous decrease in the dissociation energy with increasing field strength up to B = 0.1 a.u. and metastable states with respect to the dissociation into two H atoms occur for a certain range of field strengths. For both states with ungerade parity we observe a strong increase in the dissociation energy with increasing field strength above some critical field strength Bc. As a major result we determine the transition field strengths for the crossings among the lowest

Si:P as a laboratory analogue for hydrogen on high magnetic field white dwarf stars

“…Doing so directly for hydrogen is impractical because the required fields are two to three orders of magnitude beyond what is currently available in any laboratory 22,23 . Such tests become even more essential where atomic species beyond hydrogen are being considered, for example, helium [10][11][12] or molecular hydrogen [24][25][26][27] as for these cases the multiple particle calculations required are complex and involve approximations (for example, basis-state choices and sizes) that are not a priori guaranteed. In low field, the Zeeman spectrum may be found from perturbation theory, the orbital and magnetic quantum numbers are constants of the motion.…”

“…36). Similarly, the ability to position phosphorous donors with atomic precision allows one to build coupled donor pairs to mimic molecular hydrogen [24][25][26][27] .…”

Atmospheres and radiating surfaces of neutron stars

“…In moderate fields, the behavior of the molecular terms is quite nontrivial. If the molecular axis is parallel to B, then the states 1 Σ g and 3 Π u are metastable at 0.18 < γ < 12.3, and decay into the channel 3 Σ u [304]. It turns out, however, that the molecular orientation along B is not optimal in such fields: for example, at γ = 1 the triplet state of the molecule oriented perpendicular to the field has the lowest energy, and at γ = 10 the ground state is inclined at 37…”

Commission 14: Atomic and Molecular Data: (Donnees Atomiques et Moleculaires)

“…Laser spectroscopy has been used to probe the 86-90 nm spectrum of H 2 at high resolution (Reinhold, Hogervorst k, Ubachs 1996) and to study some of its inter-Rydberg transitions (Ubachs, Hinnen & Reinhold 1997). The ground state of the hydrogen molecule changes character in strong magnetic fields (Kravchenko & Liberman 1998), which might affect the spectrum of a magnetic white dwarf (see also Detmer et al 1997Detmer et al , 1998.…”