Coulomb Energy ofHe3and Charge Distribution of Nucleon

Haruko Ohmura; Takashi Ohmura

doi:10.1103/physrev.128.729

Gradient expansion of the classical Coulomb energy of an atomic charge distribution

The Journal of Chemical Physics ◽

10.1063/1.442623 ◽

1981 ◽

Vol 75 (9) ◽

pp. 4553-4555 ◽

Cited By ~ 8

Author(s):

Libero J. Bartolotti ◽

Robert G. Parr

Keyword(s):

Charge Distribution ◽

Atomic Charge ◽

Coulomb Energy ◽

Gradient Expansion

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COULOMB ENERGY OF AXIALLY DEFORMED NUCLEUS

Modern Physics Letters A ◽

10.1142/s0217732311034487 ◽

2011 ◽

Vol 26 (02) ◽

pp. 119-125

Author(s):

NING WANG ◽

XUEXIN YU ◽

MIN LIU

Keyword(s):

Charge Distribution ◽

Analytical Formula ◽

Spherical Nucleus ◽

Coulomb Energy ◽

Deformed Nucleus

We previously proposed a formula for calculating the Coulomb energy of spherical nucleus with Woods–Saxon charge distribution. In this work, the analytical formula is extended for description of the Coulomb energy of nucleus with β2 and β4 deformation.

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COULOMB ENERGY OF SPHERICAL NUCLEUS

Modern Physics Letters A ◽

10.1142/s0217732310032585 ◽

2010 ◽

Vol 25 (15) ◽

pp. 1275-1280 ◽

Cited By ~ 1

Author(s):

XUEXIN YU ◽

MIN LIU ◽

NING WANG

Keyword(s):

Numerical Integration ◽

Charge Distribution ◽

Analytical Formula ◽

Higher Order ◽

Spherical Nucleus ◽

Coulomb Energy ◽

Higher Order Terms ◽

Surface Diffuseness ◽

Almost All

The analytical formula for calculating the Coulomb energy of spherical nucleus with Woods–Saxon charge distribution is refined by taking into account the higher-order terms of surface diffuseness. The obtained relative deviations are smaller than 0.05% from the results with numerical integration for almost all calculated nuclei.

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Study of charge transfer in FeTi

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100075270 ◽

1983 ◽

Vol 41 ◽

pp. 296-297

Author(s):

J. Taft∅

Keyword(s):

Charge Transfer ◽

Charge Distribution ◽

Electron Scattering ◽

Periodic System ◽

Electron Distribution ◽

Scattering Amplitude ◽

Transition Elements ◽

Hartree Fock ◽

Cscl Structure ◽

The Right

It is well known that for reflections corresponding to large interplanar spacings (i.e., sin θ/λ small), the electron scattering amplitude, f, is sensitive to the ionicity and to the charge distribution around the atoms. We have used this in order to obtain information about the charge distribution in FeTi, which is a candidate for storage of hydrogen. Our goal is to study the changes in electron distribution in the presence of hydrogen, and also the ionicity of hydrogen in metals, but so far our study has been limited to pure FeTi. FeTi has the CsCl structure and thus Fe and Ti scatter with a phase difference of π into the 100-ref lections. Because Fe (Z = 26) is higher in the periodic system than Ti (Z = 22), an immediate “guess” would be that Fe has a larger scattering amplitude than Ti. However, relativistic Hartree-Fock calculations show that the opposite is the case for the 100-reflection. An explanation for this may be sought in the stronger localization of the d-electrons of the first row transition elements when moving to the right in the periodic table. The tabulated difference between fTi (100) and ffe (100) is small, however, and based on the values of the scattering amplitude for isolated atoms, the kinematical intensity of the 100-reflection is only 5.10-4 of the intensity of the 200-reflection.

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