Helium molecules within carbon nanotubes

Vranješ, Leandra; Antunović, Ž.; Kilić, Srećko

doi:10.1016/s0921-4526(02)02005-7

Cited by 9 publications

(3 citation statements)

References 8 publications

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“…At still higher dosing, 4 He and H 2 are predicted to form a 2D incommensurate monolayer on the surface of nanotube bundles [1,7]. Helium dimers are stabilized by 4 orders of magnitude in energy inside carbon nanotubes [8,9]. These simple 1D, 2D and molecular states are excellent test beds for fundamental mesoscopic quantum physics and statistical mechanics in reduced dimension [2,7,10].…”

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confidence: 99%

One-Dimensional and Two-Dimensional Quantum Systems on Carbon Nanotube Bundles

et al. 2005

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We report the first measurement of the structure of 4He atoms adsorbed on bundles of single-walled carbon nanotubes. Neutron diffraction techniques and nanotube samples closed at the end were used. At low coverage, 4He forms a 1D, single line lattice along the grooves between two nanotubes on the surface of the nanotube bundles. As coverage is increased, additional lines of 1D lattices form along the grooves. This is followed by an incommensurate, 2D monolayer covering the whole nanotube bundle surface. The lattice constants of these 1D and 2D systems are largely independent of filling once a single 1D line is formed. No occupation of the interstitial channels between nanotubes is observed in the present sample.

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confidence: 99%

One-Dimensional and Two-Dimensional Quantum Systems on Carbon Nanotube Bundles

et al. 2005

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“…As we pointed above the ELOCV formalism which gives closer results for the homogenous liquid helium 3 to that of DMC and FHNC, 14 15 gives lower energies with respect to the LOCV method. The number of 3 He atoms confined in a nanometer tube with radius R has been studied by different groups e.g., Matsushita et al, 20 Vranješ et al 21 and Okaue et al 5 …”

Section: Results and Conclusionmentioning

confidence: 99%

The (E)LOCV Study of Liquid <SUP>3</SUP>He Atoms in a Nanometer Tube

Modarres¹,

Motahari²,

Rajabi³

2013

Jnl of Comp & Theo Nano

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The bound state of 3 He atoms confined in a nanometer tube is studied in the framework of (extended) lowest order constrained variational ((E)LOCV) method. The Woods-Saxon (WS) density-profile is assumed from the center of tube towards its boundary, for the liquid helium 3 atoms distribution. It is found that the binding energy of liquid helium 3 per atom and unit length saturates at N = 6 (4) 3 He atoms with the nanometer tube radius of R 12 55 (9 13) Å in the frame work of LOCV (ELOCV) method. The corresponding saturation energy is about −1 35 (−1 67) K, i.e., as expected, its lower in the ELOCV case. The density-profile distribution at saturation point and the comparison of present results with the others approaches are also discussed and a reasonable agreement is found.

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“…Results of the present study on the 1-D helium lattices can potentially be used in the study of flow properties of the fluid helium through capillary tubes and carbon nanotubes in which helium behaves similar to a linear lattice. [72][73][74][75][76][77] The results of this study may also be used in the study of superfluidity of liquid helium.…”

Section: Introductionmentioning

confidence: 91%

A Theoretical Study of 1‐D and 2‐D Helium Lattices

Sabzyan

Zanjanchi

2007

J Chinese Chemical Soc

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One‐ and two‐dimensional (1‐D and 2‐D) helium lattices have been studied using ab initio RHF/6–31G** computations. Structural, physical and thermochemical properties have been calculated and analyzed for the 1‐D and 2‐D HeN lattices respectively up to N = 50 and N = 36. Asymptotic properties of the 1‐D HeN lattices are obtained by extrapolating N‐dependence properties to large values of N. Analysis of the results show that the bulk per‐atom interaction (binding) energies increase while the optimized interatomic distances (bond lengths) slightly decrease with the increase in size of the 1‐D HeN lattices and both reach their asymptotic values of 0.352 cm−1 and 3.18775 Å, respectively. Between the square and hexagonal (packed) structures of the 2‐D HeN lattices, the latter is more favored. Extrapolated values of the calculated properties, including lattice parameter, binding and zero point energies, heat capacity, and entropy have also been calculated for both 1‐D and 2‐D HeN lattices. The surface densities for monolayer films of helium atoms with square and hexagonal configurations have been calculated to be respectively 9.84 × 1018 and 1.04 × 1019 helium atoms/cm2 which are comparable to the experimental value of 2.4 × 1019 helium atom/m2 well within the typical large and directional error bars of the experiments. Surface effects have been investigated by comparing the packed HeN2‐D lattices with the same value of N but with different geometries (arrangements). This comparison showed that the HeN lattices prefer arrangements with the smallest surface area.

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Helium molecules within carbon nanotubes

Cited by 9 publications

References 8 publications

One-Dimensional and Two-Dimensional Quantum Systems on Carbon Nanotube Bundles

One-Dimensional and Two-Dimensional Quantum Systems on Carbon Nanotube Bundles

The (E)LOCV Study of Liquid <SUP>3</SUP>He Atoms in a Nanometer Tube

A Theoretical Study of 1‐D and 2‐D Helium Lattices

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