Calculation of moments, potentials, and energies for an arbitrarily shaped diffuse-surface nuclear density distribution

A recently proposed semiphenomenological density distribution for neutrons and protons in nuclei is discussed. This density was derived using the separation energies of the last neutron or proton. A comparison is made with the symmetrised Fermi density distribution with parameters determined by fitting electron scattering experimental data and with a Fermi density with parameters coming from a recent analysis of pionic atoms. Theoretical expressions for rms radii for neutron, proton and matter distributions are proposed, which give the average trend of the variation of these quantities as functions of Ν, Ζ and A respectively. To facilitate the use of the new density all the parameters needed in a practical application are tabulated for a series of nuclei. Some applications of the new density are also discussed.

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Analyses of Magnetic Structures and Nuclear-Density Distribution by the Structure-Refinement and Three-Dimensional Visualization Systems RIETAN-FP-VENUS

Journal of the Vacuum Society of Japan ◽

10.3131/jvsj2.53.706 ◽

2010 ◽

Vol 53 (12) ◽

pp. 706-712 ◽

Cited By ~ 2

Author(s):

Fujio IZUMI ◽

Koichi MOMMA

Keyword(s):

Density Distribution ◽

Structure Refinement ◽

Three Dimensional ◽

Nuclear Density ◽

Magnetic Structures ◽

Visualization Systems

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Z-MEM, Maximum Entropy Method software for electron/nuclear density distribution in Z-Code

Physica B Condensed Matter ◽

10.1016/j.physb.2018.03.034 ◽

2018 ◽

Vol 551 ◽

pp. 472-475 ◽

Cited By ~ 2

Author(s):

Yoshihisa Ishikawa ◽

Junrong Zhang ◽

Ryoji Kiyanagi ◽

Masao Yonemura ◽

Takeshi Matsukawa ◽

...

Keyword(s):

Density Distribution ◽

Maximum Entropy ◽

Maximum Entropy Method ◽

Entropy Method ◽

Nuclear Density

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Electron Density Distribution Obtained from X-Ray Powder Data by the Maximum Entropy Method

Advances in X-ray Analysis ◽

10.1154/s0376030800008697 ◽

1991 ◽

Vol 35 (A) ◽

pp. 77-83 ◽

Cited By ~ 1

Author(s):

Makoto Sakata ◽

Masaki Takata ◽

Yoshiki Kubota ◽

Tatsuya Uno ◽

Shintaro Kuhazawa ◽

...

Keyword(s):

Density Distribution ◽

Maximum Entropy ◽

Electron Density ◽

Diffraction Data ◽

Electron Density Distribution ◽

Maximum Entropy Method ◽

Entropy Method ◽

Nuclear Density ◽

X Ray ◽

Distribution Maps

AbstractThe electron density distribution maps for CaF2 and TiO2 (rutile) were obtained from profile fitting of powder diffraction data by a Maximum Entropy Method (MEM) analysis. The resultant electron density maps show clearly the nature of the chemical bonding. In order to interpret the results, the nuclear density distribution was also obtained for rutile from powder neutron diffraction data. In the electron density map for rutile obtained by HEM analysis from the X-ray data, both apical and equatorial bonding can be seen. On the other hand, the nuclear density of rutile Is very simple and shows the thermal vibration of nuclei.

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