Interaction of metal clusters with surface steps

Kern, R.; Krohn, M. Dennis

doi:10.1002/pssa.2211160104

Cited by 12 publications

(4 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A similar problem of adatom interaction has been explored extensively, but all the studies are limited to unstrained substrates or substrates under small external strains (see Lau and Kohn, 1977;Kern and Krohn, 1989;Peyla and Misbah, 2003;Kukta et al, 2003a, b;He and Lim, 2006). In this section, we will take into account the effect of finite pre-stretch of the substrate.…”

Section: Force Dipole and Dipolar Interactionmentioning

confidence: 98%

Elastic interaction between force dipoles on a stretchable substrate

He¹

2008

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

Section: Force Dipole and Dipolar Interactionmentioning

confidence: 98%

Elastic interaction between force dipoles on a stretchable substrate

He¹

2008

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

“…On planar graphite the electrodynamic screening of the van der Waals interaction is most important and reduces the well depth of the HeHe pair potential by ∼ 10% for a monolayer film [15,16]. The smaller He-C separation in the interstitial channel of a nanotube bundle should yield a somewhat larger effect; the omission of this screening implies a moderate overestimate in the binding energies described below.…”

mentioning

confidence: 98%

Condensation of Helium in Nanotube Bundles

et al. 2000

View full text Add to dashboard Cite

Helium atoms are strongly attracted to the interstitial channels within a bundle of carbon nanotubes. The strong corrugation of the axial potential within a channel can produce a lattice gas system where the weak mutual attraction between atoms in neighboring channels of a bundle induces condensation into a remarkably anisotropic phase with very low binding energy. We estimate the binding energy and critical temperature for 4 He in this novel quasi-onedimensional condensed state. At low temperatures, the specific heat of the adsorbate phase (fewer than 2% of the total number of atoms) greatly exceeds that of the host material.Low temperature research on Helium was initially stimulated by the challenge of determining the condensation temperature of bulk He [1]. In recent decades, two-dimensional He films, in which the superfluid transition differs qualitatively from that of the bulk [2], have been particularly intriguing. While once of only academic interest [3][4][5][6], Helium in one-dimensional or quasi-one-dimensional systems has received increased attention recently since the realization that such systems can be created in the laboratory. He atoms are very strongly bound within the hexagonal lattice of narrow interstitial channels between tubes within the triangular lattice of a bundle of carbon nanotubes [7][8][9][10]. Within this very narrow channel, the transverse degrees of freedom are frozen out even at relatively high temperatures of ∼50 K. The binding energy per atom, 340 K, is the highest known for He, almost twice that calculated for He within individual nanotubes [11] and 2.4 times higher than that on the basal plane of graphite [12,13]. It exceeds the ground state binding energy of bulk liquid 4 He by nearly fifty times [14].Here we describe how the strong axial confinement of the He wavefunctions within a single channel can produce a direct experimental realization of a lattice gas model, wherein the weak coupling between atoms in neighboring channels induces a finitetemperature transition into a remarkably anisotropic and extremely weakly bound condensed state. First we present a localized model wherein the Helium resides in periodic array of relatively deep potential wells; this "bumpy channel" approximation is supported by single-particle Helium band structure calculations. For comparison, we also describe a delocalized model which assumes translational invariance within each channel (a "smooth channel" approximation). The large difference between the models in 1

show abstract

“…Also not considered is elastic screening, associated with the tubes' deformation, which has not been studied, to the best of our knowledge. In the analogous case of adsorption on a flat surface, these effects are usually small [17,18,19], but the present situation differs because the adsorbate wave function is localized closer to the nanotubes than it is to the planar surface. Indeed, we have found at T=0 that the interaction leads to a non-negligible dilation of the lattice of nanotubes at high particle density and a factor of 10 smaller dilation at low density [20,21,22].…”

Section: Properties Of the 3 He Gasmentioning

confidence: 99%

Anomalous Low Temperature Specific Heat of³He Inside Nanotube Bundles

Gatica

Ancilotto

Cole

2004

Journal of Low Temperature Physics

View full text Add to dashboard Cite

Helium atoms and hydrogen molecules can be strongly bound inside interstitial channels within bundles of carbon nanotubes. An exploration of the low energy and low temperature properties of 3 He atoms is presented here. Recent study of the analogous 4 He system has shown that the effect of heterogeneity is to yield a density of states N (E) that is qualitatively different from the one-dimensional (1D) form of N (E) that would occur for an ideal set of identical channels. In particular, the functional form of N (E) is that of a 4D gas near the very lowest energies and a 2D gas at somewhat higher energies. Similar behavior is found here for 3 He. The resulting thermodynamic behavior of this fermi system is computed, yielding an anomalous form of the heat capacity and its dependence on coverage.

show abstract

Interaction of metal clusters with surface steps

Cited by 12 publications

References 19 publications

Elastic interaction between force dipoles on a stretchable substrate

Elastic interaction between force dipoles on a stretchable substrate

Condensation of Helium in Nanotube Bundles

Anomalous Low Temperature Specific Heat of³He Inside Nanotube Bundles

Contact Info

Product

Resources

About

Interaction of metal clusters with surface steps

Cited by 12 publications

References 19 publications

Elastic interaction between force dipoles on a stretchable substrate

Elastic interaction between force dipoles on a stretchable substrate

Condensation of Helium in Nanotube Bundles

Anomalous Low Temperature Specific Heat of3He Inside Nanotube Bundles

Contact Info

Product

Resources

About

Anomalous Low Temperature Specific Heat of³He Inside Nanotube Bundles