MAGNETIC PROPERTIES OF SODIUM CLUSTERS

1996 ◽  
Vol 03 (01) ◽  
pp. 441-445 ◽  
Author(s):  
S. FRAUENDORF ◽  
V.V. PASHKEVICH ◽  
S.M. REIMANN
Keyword(s):  
Magnetic Properties ◽  
Correction Method ◽  
Shell Correction ◽  
Sodium Clusters

Axial and triaxial shapes of Na clusters are determined by means of the shell-correction method.1 The orbital paramagnetism and the diamagnetism of small Na clusters are calculated. Odd axial clusters may have substantial orbital paramagnetic moments, which are quenched for triaxial shapes. Even clusters show diamagnetism, which is maximal for spherical and attenuated for deformed shape.

POTENTIAL-ENERGY SURFACES OF SODIUM CLUSTERS WITH QUADRUPOLE, HEXADECAPOLE, AND TRIAXIAL DEFORMATIONS

1996 ◽  
Vol 03 (01) ◽  
pp. 25-29 ◽  
Author(s):  
S.M. REIMANN ◽  
S. FRAUENDORF
Keyword(s):  
Potential Energy ◽  
Potential Energy Surfaces ◽  
Correction Method ◽  
Model Potential ◽  
Shell Correction ◽  
Jellium Model ◽  
Sodium Clusters ◽  
Self Consistent ◽  
Particle Spectra ◽  
Energy Surfaces

Combining a modified Nilsson-Clemenger model with the shell-correction method, the potential-energy surfaces of sodium clusters with sizes of up to N = 200 atoms are calculated, including nonaxial deformations. For spherical clusters, the model potential is fitted to the single-particle spectra obtained from microscopically self-consistent Kohn-Sham calculations using the jellium model and the localdensity approximation. Employing the Strutinsky shell-correction method, the surface energy of the jellium model is renormalized to its experimental value. The ground-state shapes are determined by simultaneous minimization of the deformation energies for quadrupole, hexadecapole, and triaxial cluster deformations.

SHAPES AND FREE ENERGIES OF MOLTEN SODIUM CLUSTERS

1996 ◽  
Vol 03 (01) ◽  
pp. 241-245 ◽  
Author(s):  
S. FRAUENDORF ◽  
V.V. PASHKEVICH
Keyword(s):  
Free Energy ◽  
Correction Method ◽  
Shell Correction ◽  
Second Derivative ◽  
Free Energies ◽  
Sodium Clusters ◽  
Deformation Parameters ◽  
Molten Sodium ◽  
Spheroidal Shape ◽  
Equilibrium Shapes

The shell-correction method is formulated to calculate the shapes and free energies of hot alkali clusters. The equilibrium shapes of Na clusters with mass 50–700 are calculated by minimizing simultaneously with respect to two deformation parameters. For T=700°K strong deviations from spheroidal shape including reflection asymmetric shapes are found to survive in the center of the open shells. The second derivative of calculated free energy correlates with the derivative of the experimental cluster abundances, showing prominent spikes related to the change between spherical and deformed shape.

scholarly journals TEMPERATURE DEPENDENCE OF THE NUCLEAR ENERGY IN RELATIVISTIC MEAN-FIELD THEORY

2005 ◽  
Vol 14 (03) ◽  
pp. 505-511 ◽  
Author(s):  
B. NERLO-POMORSKA ◽  
K. POMORSKI ◽  
J. SYKUT ◽  
J. BARTEL
Keyword(s):  
Single Particle ◽  
Level Density ◽  
Mean Field Theory ◽  
Mean Field ◽  
Correction Method ◽  
Shell Correction ◽  
Shell Effects ◽  
Relativistic Mean Field ◽  
Single Particle Level ◽  
Particle Level

Self-consistent relativistic mean-field (RMF) calculations with the NL3 parameter set were performed for 171 spherical even-even nuclei with 16≤A≤224 at temperatures in the range 0≤T≤4 MeV . For this sample of nuclei single-particle level densities are determined by analyzing the data obtained for various temperatures. A new shell-correction method is used to evaluate shell effects at all temperatures. The single-particle level density is expressed as function of mass number A and relative isospin I and compared with previous estimates.

Energy- andN-averagings in the shell correction method

1979 ◽  
Vol 293 (4) ◽  
pp. 337-342 ◽  
Author(s):  
F. A. Ivanyuk ◽  
V. M. Strutinsky
Keyword(s):  
Correction Method ◽  
Shell Correction

THEORETICAL STUDY OF FISSION OF SIMPLE METAL CLUSTERS USING A JELLIUM MODEL

1996 ◽  
Vol 03 (01) ◽  
pp. 613-616
Author(s):  
HIROYASU KOIZUMI ◽  
SATORU SUGANO
Keyword(s):  
Metal Clusters ◽  
Correction Method ◽  
Shell Correction ◽  
Discrete Variable ◽  
Jellium Model ◽  
Discrete Variable Representation ◽  
Simple Metal ◽  
Representation Method ◽  
Sine Functions ◽  
Variable Representation

Fission of simple metal clusters is investigated using a jellium model which allows axial symmetrical deformations and fission. The Kohn-Sham equations for the jellium model are solved by the discrete-variable representation method where the zeros of the sine functions and the zeros of the 0th order Bessel functions are used for the basis for z-coordinate and ρ-coordinate, respectively. The comparison between the jellium model results and the shell-correction method results is made.

REMARKS ON THE NUCLEAR SHELL-CORRECTION METHOD

2009 ◽  
Vol 18 (01) ◽  
pp. 123-130 ◽  
Author(s):  
BOŻENA NERLO-POMORSKA ◽  
KRZYSZTOF POMORSKI ◽  
FEDIR IVANYUK
Keyword(s):  
Total Energy ◽  
Single Particle ◽  
Mean Field ◽  
Field Potential ◽  
Correction Method ◽  
Shell Correction ◽  
Nucleon Number ◽  
Shell Correction Energy ◽  
Nuclear Shell ◽  
Mean Field Potential

The shell-correction energy is calculated using the single-particle levels obtained with the folded-Yukawa mean-field potential. Three different ways of evaluation of the shell-correction are compared: the traditional Strutinsky method, the modified prescription by the smearing of the total energy sum in the nucleon number space, and the smoothing of the single-particle energies of occupied states and summing them up. The dependence of these three energies on nuclear elongation is investigated.

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