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Kilić, Srećko; Krotscheck, E.; Zillich, Robert E.

doi:10.1023/a:1021841802086

Cited by 14 publications

(6 citation statements)

References 23 publications

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“…There is seen to be a maximum binding energy of order 1 to 2 K, with specific values 1.97 K, 1.38 K and 0.88 K for the sequence 4 He -4 He, 3 He -4 He and 3 He -3 He, respectively. This trend manifests the expected decrease of binding energy with increasing Λ * ; a similar behavior was reported by Kilić et al for dimers confined to either flat surfaces or to the interior of an spherical cavity 7,8 . The maximum binding occurs with R/σ ∼ 0.72, 0.76 and 0.80.…”

Section: Ground State Energies and Wave Functionssupporting

confidence: 87%

Bound State of Dimers on a Spherical Surface

Kostov

Hernández²,

Cole³

2004

Journal of Low Temperature Physics

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The study of particle motion on spherical surfaces is relevant to adsorption on buckyballs and other solid particles. This paper reports results for the binding energy of such dimers, consisting of two light particles (He atoms or hydrogen molecules) constrained to move on a spherical surface. The binding energy reaches a particularly large value when the radius of the sphere is about 3/4 of the particles' diameter.

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Section: Ground State Energies and Wave Functionssupporting

confidence: 87%

Bound State of Dimers on a Spherical Surface

Kostov

Hernández²,

Cole³

2004

Journal of Low Temperature Physics

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“…A negative value of E 2 means that Rb * He n is stable with respect to removing the noncore He atoms. In case of n = 4, the energy E pure 2 of He 2 is given by the thermal energy of two free particles, 2 3 2 k B T = 0.23 K, since He 2 is not bound at T = 0.078 K (the binding energy is less than 2 mK), 52 = −0.23 cm −1 ± 0.02 cm −1 , (−0.22 cm −1 ± 0.02 cm −1 ) for τ = (40 K) −1 ( τ = (80 K) −1 ). As expected, the pair density approximation for the density matrix of a pure He cluster yields results that are already converged with a time step of τ = (40 K) −1 .…”

Section: B Energetics and Symmetrymentioning

confidence: 99%

Electronically excited rubidium atom in helium clusters and films. II. Second excited state and absorption spectrum

Leino

Viel

Zillich

2011

The Journal of Chemical Physics

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Following our work on the study of helium droplets and film doped with one electronically excited rubidium atom Rb(∗) ((2)P) [M. Leino, A. Viel, and R. E. Zillich, J. Chem. Phys. 129, 184308 (2008)], we focus in this paper on the second excited state. We present theoretical studies of such droplets and films using quantum Monte Carlo approaches. Diffusion and path integral Monte Carlo algorithms combined with a diatomics-in-molecule scheme to model the nonpair additive potential energy surface are used to investigate the energetics and the structure of Rb(∗)He(n) clusters. Helium films as a model for the limit of large clusters are also considered. As in our work on the first electronic excited state, our present calculations find stable Rb(∗)He(n) clusters. The structures obtained are however different with a He-Rb(∗)-He exciplex core to which more helium atoms are weakly attached, preferentially on one end of the core exciplex. The electronic absorption spectrum is also presented for increasing cluster sizes as well as for the film.

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“…In these spaces two body problems, in which particles interact via the potential that depends only on the distance between them, can be reduced to one body problem and can generally be resolved by standard numerical procedures. In previous papers − we indeed showed that it may be reduced to a one-dimensional Schrödinger equation. Spherically symmetric confined spaces are considered as models for the behavior of helium atoms in cavities in solid matrices or on a solid, corrugated substrate.…”

Section: Introductionmentioning

confidence: 83%

Helium 4 Dimer in Nanotubes

Vranješ

Antunović

Kilić

2001

J. Chem. Inf. Comput. Sci.

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The ground state of the helium 4 dimer is considered using the Monte Carlo technique. In a cylinder with a hard core wall, binding depends on its radius. For a small radius binding occurs as in the one-dimensional case. With an increase of the radius, the binding becomes stronger, reaches its maximum value, and then slowly diminishes. In conical geometry, that may be realized as a generalization of a cylindrical one, this dependence of the binding energy on the radius might lead to an effective force which tends to move the molecule toward the region of minimal energy. Thus, in channels, with nonhomogeneous cross-sections, the particles move easier in dimer form. In addition, the square of the momentum and of the particle separation along the cylinder axis and in the plane perpendicular to it are calculated as well.

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Untitled

Cited by 14 publications

References 23 publications

Bound State of Dimers on a Spherical Surface

Bound State of Dimers on a Spherical Surface

Electronically excited rubidium atom in helium clusters and films. II. Second excited state and absorption spectrum

Helium 4 Dimer in Nanotubes

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