Shape isomerism in sodium clusters with 10≤<i>Z</i>≤44: Jellium model with quadrupole, octupole, and hexadecapole deformations

Montag, Benjamin W.; Hirschmann, Th.; Meyer, J.; Reinhard, P.‐G.; Brack, Matthias

doi:10.1103/physrevb.52.4775

Cited by 52 publications

(55 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Obviously, the SAPS model does not lend itself to the study of deformation effects, whereas an extension of the structure-averaged jellium model to deformed clusters is in preparation [48].…”

Section: Jellium Potentialmentioning

confidence: 99%

Spheroidally deformed sodium clusters in the selfconsistent jellium model

1994

Self Cite

View full text Add to dashboard Cite

Abstract. We present the first systematic study of potential energy curves and prolate-oblate shape transitions of sodium clusters with 8 < N< 40 atoms. The Kohn-Sham equations are solved in the local density approximation for the jellium model with spheroidal deformations. The ionic background density is taken to have a diffuse surface of Woods-Saxon type. The quadrupole and hexadecupole moments of the electron and jellium densities are investigated, revealing a strong hexadecupole dependence for selected clusters. Collective dipole resonances are described in the simple surface plasmon model. Shape transitions are found to occur at particle numbers 12-14 (prolate-oblate), 18 -20-22 (oblate-spherical-prolate) and 30-32 (prolate-oblate), which are in good agreement with experimental results; triaxiality is predicted for Na-36. Comparing our results with those of molecular dynamics calculations, we confirm the scheme of Kohn-Sham levels and the gross behaviour of potentials and densities.

show abstract

Section: Jellium Potentialmentioning

confidence: 99%

Spheroidally deformed sodium clusters in the selfconsistent jellium model

1994

Self Cite

View full text Add to dashboard Cite

show abstract

“…Else-wise the strongly asymmetric fission with one Na 3 + would probably dominate. 58 This example shows that the detailed outcome of cluster fission varies strongly from system to system depending on shell effects and pre-configured fragments. The practical outcome of such a program is illustrated in Figure 7.…”

Section: An Illustrative Examplementioning

confidence: 99%

“…57, or detailed ionic structure, e.g., Ref. 58, or coupling that to Born-Oppenheimer molecular dynamics, 10,11 and even adding quantum features to that. 72 All these approaches are not fully suited to simulate laser induced charging and fission because they do not include the details of the laser excitation and ignore the fact that the subsequent dynamics proceeds far above the Born-Oppenheimer surface.…”

Section: Pump and Probe Dynamicsmentioning

confidence: 99%

Similarities and Differences Between Nuclei and Metal Clusters

Dinh¹,

Reinhard²,

Suraud³

2017

Nuclear Particle Correlations and Cluster Physics

Self Cite

View full text Add to dashboard Cite

Besides the topic of this volume, namely clustering in nuclei, the keyword "cluster" addresses a special form of large molecules consisting out of the same building blocks (atoms or small molecules) piled up to a large compound, so to say a small piece of a solid. A particular species are metal clusters whose valence electrons can be viewed as Fermi liquid. This establishes the similarity to nuclei which also consist of the Fermi liquid of protons and neutrons. In this article, we discuss similarities and differences of nuclei and metal clusters with respect to structure, resonance excitations, and fission. The latter process is closely related, again, to clustering, the emergence of sub-units in a larger compound.

show abstract

“…This strong result cannot be affected by a volume conservation condition ω 2 ω z = const., which is used for the calculation of Potential Energy Surfaces in order to find global and local minima, which yield equilibrium shapes and shape isomers, respectively (see e.g. [20,27]). In fact, while the effect of this constraint may change the level ordering once the ( L) 2 term is included, it is observed (e.g.…”

Section: Quantum Mechanical Treatmentmentioning

confidence: 99%

“…As the model was originally designed within a pure quantum mechanical context [13,14] we We have chosen the upper limit b = 2, which is denoted super-deformation for nuclei [15]. Super-deformation seems to exist in metallic clusters, at least for small particle numbers (see, for example [1,2,19,20,26,27,28]). …”

Section: General Properties Of the Modelmentioning

confidence: 99%

Electronic shell structure of large metallic clusters in the modified harmonic oscillator

Heiss¹,

Nazmitdinov²

1998

Physica D: Nonlinear Phenomena

View full text Add to dashboard Cite

Shell structure in the single particle spectrum of deformed harmonic oscillator potentials when a term proportional to ( L) 2 is added is analyzed for a large particle number. In the case study presented here it is argued that, in view of the chaotic nature of the problem, a thorough understanding of the classical situation provides essential guidance in tackling the corresponding quantum mechanical problem. A scaling law which gives a dividing line between regular and chaotic behavior in terms of energy, deformation and strength of the ( L) 2 term has been found. According to this law, shell structure survives for higher particle numbers only with lesser deformation.

show abstract

Shape isomerism in sodium clusters with 10≤Z≤44: Jellium model with quadrupole, octupole, and hexadecapole deformations

Cited by 52 publications

References 24 publications

Spheroidally deformed sodium clusters in the selfconsistent jellium model

Spheroidally deformed sodium clusters in the selfconsistent jellium model

Similarities and Differences Between Nuclei and Metal Clusters

Electronic shell structure of large metallic clusters in the modified harmonic oscillator

Contact Info

Product

Resources

About