<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">H</mml:mi><mml:mn>3</mml:mn><mml:none /><mml:none /><mml:mo>+</mml:mo></mml:mmultiscripts></mml:math>molecular ion in a magnetic field: Linear parallel configuration

Turbiner, A. V.; Guevara, Nicolais L.; Vieyra, J. C. López

doi:10.1103/physreva.75.053408

Cited by 11 publications

(20 citation statements)

References 31 publications

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“…The fact is that in both the H and H + 2 systems the binding energy grows dramatically with an increase of the magnetic field strength, it hints at the possible existence of unusual chemical species in strong magnetic fields. Other simple, traditional such as H + 3 [12,13], and exotic compounds mainly formed by protons and/or α-particles (helium nuclei) and one or two electrons have been studied to a certain degree. For a discussion, see [10] for one-electron systems and [14] for two-electron systems.…”

Section: Introductionmentioning

confidence: 99%

The hydrogen molecule H2 in inclined configuration in a weak magnetic field

Alijah

Vieyra

Nader

et al. 2019

Journal of Quantitative Spectroscopy and Radiative Transfer

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Highly accurate variational calculations, based on a few-parameter, physically adequate trial function, are carried out for the hydrogen molecule H 2 in inclined configuration, where the molecular axis forms an angle θ with respect to the direction of a uniform constant magnetic field B, for B = 0, 0.1, 0.175 and 0.2 a.u. Three inclinations θ = 0 • , 45 • , 90 • are studied in detail with emphasis to the ground state 1 g . Diamagnetic and paramagnetic susceptibilities are calculated (for θ = 45 • for the first time), they are in agreement with the experimental data and with other calculations. For B = 0, 0.1 and 0.2 a.u. potential energy curves E vs R are built for each inclination, they are interpolated by simple, two-point Padé approximant P ade[2/6](R) with accuracy of not less than 4 significant digits. Spectra of rovibrational states are calculated for the first time. It was found that the optimal configuration of the ground state for B ≤ B cr = 0.178 a.u. corresponds always to the parallel configuration, θ = 0, thus, it is a 1 Σ g state. The state 1 g remains bound for any magnetic field, becoming metastable for B > B cr , while for B cr < B < 12 a.u. the ground state corresponds to two isolated hydrogen atoms with parallel spins.

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Section: Introductionmentioning

confidence: 99%

The hydrogen molecule H2 in inclined configuration in a weak magnetic field

Alijah

Vieyra

Nader

et al. 2019

Journal of Quantitative Spectroscopy and Radiative Transfer

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“…All of them (or, at least, some of them) can be in the same quantum state, with the same spin projection and magnetic quantum number [6]. This situation was observed in H 2 [7] and H + 3 [8], where in a domain of large magnetic fields the ground state was given by the state of the maximal total spin but with the electrons having the same zero magnetic quantum number (see a discussion below). In [5] qualitative arguments were presented that such chains can be of any length, thus, can contain arbitrary many protons.…”

Section: Introductionmentioning

confidence: 99%

“…In[8] it is shown that the H + 3 molecular ion exists in a magnetic field as a bound state. For B 0.2 a.u.…”

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confidence: 99%

Charged hydrogenic, helium, and helium-hydrogenic molecular chains in a strong magnetic field

2010

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A nonrelativistic classification of charged molecular hydrogenic, helium, and mixed helium-hydrogenic chains with one or two electrons which can exist in a strong magnetic field B < ∼ 10 16 G is given. It is shown that for both 1e-2e cases at the strongest studied magnetic fields the longest hydrogenic chain contains at most five protons, indicating the existence of H 5 4+ and H 5 3+ ions, respectively. In the case of the helium chains, the longest chains can exist at the strongest studied magnetic fields with three and four α particles for 1e-2e cases with the possible existence of He 3 5+ and He 4 6+ , respectively. For mixed helium-hydrogenic chains, the number of heavy centers can reach five for the highest magnetic fields studied. In general, for a fixed magnetic field, two-electron chains are more bound than one-electron chains.

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“…Magnetic fields for which He 2+ 2 does not exist (see text) are marked by ( * ) . Total energy E T (He + (1s 0 ) + He + (1s 0 )) (in Ry) for zeroing total electron spin projection from[2] is shown for a comparison.…”

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confidence: 99%

He22+molecular ion can exist in a magnetic field

Turbiner

Guevara

2006

Phys. Rev. A

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We present a detailed study of the ground state of the Coulomb system ͑␣␣ee͒ which corresponds to the He 2 2+ molecular ion in a magnetic field B = 0 − 4.414ϫ 10 13 G in parallel configuration ͑it is assumed that infinitely massive ␣ particles are situated along a magnetic-field line͒. One uses a variational method, introducing a trial function which includes electronic correlation in the form exp͑␥r 12 ͒, where ␥ is a variational parameter. It is shown that the quantum numbers of the lowest total-energy state depend on the magnetic-field strength. This state evolves from the spin-singlet 1 ⌺ g metastable state at 0 Յ B Շ 0.85 a . u. to a repulsive spin-triplet 3 ⌺ u state for 0.85Շ B Շ 1100 a . u. and, finally, to a stable strongly bound spin-triplet 3 ⌸ u state at stronger fields B տ 1100 a . u. The lowest vibrational energy for the latter case is calculated.

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H3+molecular ion in a magnetic field: Linear parallel configuration

Abstract: A first detailed study of the ground state of the H + 3 molecular ion in linear configuration, parallel to a magnetic field direction, and its low-lying Σ, Π, ∆ states is carried out for magnetic fields

Cited by 11 publications

References 31 publications

The hydrogen molecule H2 in inclined configuration in a weak magnetic field

The hydrogen molecule H2 in inclined configuration in a weak magnetic field

Charged hydrogenic, helium, and helium-hydrogenic molecular chains in a strong magnetic field

He22+molecular ion can exist in a magnetic field

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