Magic Numbers for Sphere Packings: Experimental Verification in Free Xenon Clusters

Echt, Olof; Sattler, K.; Recknagel, E.

doi:10.1103/physrevlett.47.1121

Cited by 763 publications

(329 citation statements)

References 24 publications

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“…6 ͑a͒. Here the decay behavior of (C 60 ) 55 on the basis of the peak ratios (C 60 ) 56 /(C 60 ) 55 , (C 60 ) 55 /(C 60 ) 54 , and (C 60 ) 54 /(C 60 ) 53 was investigated. At temperatures lower than T h ϭ400 K all ratios are, as expected, equal to 1.…”

Section: A Decay Behavior Of Fullerene Dimersmentioning

confidence: 99%

Structural transition in(C60)nclusters

et al. 2002

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The structure of (C 60 ) n clusters (nϭ1-150) was investigated by heating them to definite temperatures in a helium bath ͑heating cell͒ with subsequent characterization in a time-of-flight mass spectrometer. The intensity anomalies in the resulting mass spectra reflect particularly stable configurations that resisted evaporation. However, the set of enhanced peaks ͑magic numbers͒ turned out to be temperature dependent. Clusters heated to a moderate temperature of 490 K yielded mass spectra indicating the presence of icosahedral structures that can be characterized by a set of unusually strong peaks, namely nϭ13, 19, 23, 26, 35, 39, 43, 46, 49, 55, 55 ϩ3m, 116, 125, 131, 137, and 147 (mϭ1-14). Based on constant-temperature molecular dynamics simulations it could be concluded that these icosahedra represent metastable structures that had not yet attained thermal equilibrium on the experimental time scale (t s ϭ0.5 ms). Only when the (C 60 ) n clusters were heated to appreciably higher temperatures they could reach thermodynamical equilibrium, manifested by a thermally induced structural transition into close-packed structures, decahedral structures and structures based on the 98-Leary tetrahedron. Thus, mass spectra of clusters heated to 600 K demonstrate the new set of magic numbers, nϭ38, 48, 58, 61, 64, 68, 71, 75, 77, 84, 89, 91, 96, and 98. Additionally, the experimental arrangement used allows both charged and neutral (C 60 ) n clusters to be studied. Thereby, it was possible to show that the structure of large (C 60 ) n clusters is insensitive to their charge state (Ϫ/n/ϩ), disproving a hypothesis that has been discussed in the literature for several years. The heating cell was also used to study the thermally induced dissociation in the fullerene dimers (C 60 ) 2 , (C 70 ) 2 , and (C 60 ) 2 ϩ . The dissociation energies were determined to be 0.275 eV, 0.313 eV, and 0.37 eV, respectively (Ϯ0.08 eV).

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Section: A Decay Behavior Of Fullerene Dimersmentioning

confidence: 99%

Structural transition in(C60)nclusters

et al. 2002

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“…[14][15][16][17] Computer simulations of clusters have revealed a wide diversity of fundamental behavior that is highly sensitive to many factors, such as the cluster aggregate size N , the potential used to model the intermolecular interactions, and even the simulation method itself. The Lennard-Jones (LJ) potential is the most commonly used model potential for computer simulations of cluster properties, and it is especially useful for modeling rare gas clusters.…”

Section: Introductionmentioning

confidence: 99%

Magic number behavior for heat capacities of medium-sized classical Lennard-Jones clusters

Frantz

2001

The Journal of Chemical Physics

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Monte Carlo methods were used to calculate heat capacities as functions of temperature for classical atomic clusters of aggregate sizes 25 ≤ N ≤ 60 that were bound by pairwise Lennard-Jones potentials. The parallel tempering method was used to overcome convergence difficulties due to quasiergodicity in the solid-liquid phase-change regions. All of the clusters studied had pronounced peaks in their heat capacity curves, most of which corresponded to their solid-liquid phase-change regions. The heat capacity peak height and location exhibited two general trends as functions of cluster size: for N = 25 to 36, the peak temperature slowly increased, while the peak height slowly decreased, disappearing by N = 37; for N = 30, a very small secondary peak at very low temperature emerged and quickly increased in size and temperature as N increased, becoming the dominant peak by N = 36. Superimposed on these general trends were smaller fluctuations in the peak heights that corresponded to "magic number" behavior, with local maxima found at N = 36, 39, 43, 46 and 49, and the largest peak found at N = 55. These magic numbers were a subset of the magic numbers found for other cluster properties, and can be largely understood in terms of the clusters' underlying geometries. Further insights into the melting behavior of these clusters were obtained from quench studies and by examining rms bond length fluctuations.

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“…From the experimental studies we mention those of Refs. [32][33][34][35][36][37] where molecular clusters, consisting of a small number of noble gas atoms, were investigated.…”

Section: Introductionmentioning

confidence: 99%

Binding energies and scattering observables in the 4He3 atomic system

Мотовилов

Sandhas

Sofianos

et al. 2001

The European Physical Journal D

191

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The 4 He3 bound states and the scattering of a 4 He atom off a 4 He dimer at ultra-low energies are investigated using a hard-core version of the Faddeev differential equations. Various realistic 4 He-4 He interactions were employed, amomg them the LM2M2 potential by Aziz and Slaman and the recent TTY potential by Tang, Toennies and Yiu. The ground state and the excited (Efimov) state obtained are compared with other results. The scattering lengths and the atom-diatom phase shifts were calculated for center of mass energies up to 2.45 mK. It was found that the LM2M2 and TTY potentials, although of quite different structure, give practically the same bound-state and scattering results.

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Magic Numbers for Sphere Packings: Experimental Verification in Free Xenon Clusters

Cited by 763 publications

References 24 publications

Structural transition in(C60)nclusters

Structural transition in(C60)nclusters

Magic number behavior for heat capacities of medium-sized classical Lennard-Jones clusters

Binding energies and scattering observables in the 4He3 atomic system

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