Point charge approximations to a spherical charge distribution: A random walk to high symmetry

1990 ◽  
Vol 67 (12) ◽  
pp. 995 ◽  
Author(s):  
Jeffrey B. Weinrach ◽  
Kay L. Carter ◽  
Dennis W. Bennett ◽  
H. Keith McDowell
Keyword(s):  
Random Walk ◽  
Charge Distribution ◽  
Point Charge ◽  
High Symmetry ◽  
Spherical Charge

scholarly journals Non-spherical proton shape and hydrogen hyperfine splittingThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at University of Windsor, Windsor, Ontario, Canada on 21–26 July 2008.

2009 ◽  
Vol 87 (7) ◽  
pp. 773-783 ◽  
Author(s):  
A. J. Buchmann
Keyword(s):  
Charge Distribution ◽  
Hyperfine Splitting ◽  
Spherical Charge ◽  
Atomic Systems ◽  
Absolute Value ◽  
International Conference

We show that the non-spherical charge distribution of the proton manifests itself in hydrogen hyperfine splitting as an increase (in absolute value) of the proton Zemach radius and polarization contributions.

Comment on “Surface-charge distribution on a dielectric sphere due to an external point charge: examples of C60 and C240 fullerenes, Phys. Chem. Chem. Phys., 2013, 15, 20115”

2014 ◽  
Vol 16 (28) ◽  
pp. 14969-14970
Author(s):  
Henning Zettergren ◽  
Fredrik Lindén ◽  
Henrik Cederquist
Keyword(s):  
Dielectric Properties ◽  
Surface Charge ◽  
Charge Distribution ◽  
Point Charge ◽  
Chem Phys ◽  
Dielectric Sphere ◽  
External Point ◽  
Surface Charge Distribution ◽  
Phys Chem Chem Phys

We show that the relative surface charge distribution from classical electrostatics cannot be used to discriminate between different assumptions about the dielectric properties of fullerenes interacting with external charges.

Bound states of a uniform spherical charge distribution—revisited!

2000 ◽  
Vol 68 (7) ◽  
pp. 640-648 ◽  
Author(s):  
Brian C. Tiburzi ◽  
Barry R. Holstein
Keyword(s):  
Charge Distribution ◽  
Bound States ◽  
Spherical Charge

On the Coulomb scattering by a spherical charge distribution

1960 ◽  
Vol 18 (3) ◽  
pp. 570-579
Author(s):  
L. Favella ◽  
E. Predazzi
Keyword(s):  
Charge Distribution ◽  
Coulomb Scattering ◽  
Spherical Charge

Molecular charge distribution, core-ionization energies, and the point-charge approximation

1991 ◽  
Vol 113 (14) ◽  
pp. 5224-5230 ◽  
Author(s):  
Leif J. Saethre ◽  
Michele R. F. Siggel ◽  
T. Darrah Thomas
Keyword(s):  
Charge Distribution ◽  
Point Charge ◽  
Ionization Energies ◽  
Molecular Charge

EXPERIMENTAL EVIDENCE FOR AXIAL VECTOR INTERACTION IN THE DISINTEGRATION OF Pr144

1958 ◽  
Vol 36 (8) ◽  
pp. 1084-1111 ◽  
Author(s):  
R. L. Graham ◽  
J. S. Geiger ◽  
T. A. Eastwood
Keyword(s):  
Experimental Evidence ◽  
Charge Distribution ◽  
Ground State ◽  
Point Charge ◽  
Axial Vector ◽  
Vector Interaction ◽  
Probable Spin ◽  
Unique Shape ◽  
Spin Sequence ◽  
Uniform Charge Distribution

A detailed study of the disintegration scheme of Pr144 has been carried out using lens spectrometers, scintillation spectrometers, and fast coincidence techniques. The 2293 kev β-component (1.3%) studied in coincidence with γ 691 has a predominantly first forbidden unique shape and the β–γ directional correlation is strongly anisotropic. The results indicate a probable spin-sequence 0−(β)2+(γ)0+, but the accuracy is not sufficient to exclude completely a 1− assignment for the Pr144 ground state. The β 803 component (1.0%) observed in coincidence with γ 2181 has an allowed shape and the β–γ directional correlation is isotropic. The shape of the total β-spectrum was studied in a double lens spectrometer having good anti-scattering properties using sources of Ce144 oxide sublimed onto 200 μg/cm2 Al leaf. Subtraction of a unique (Bij) shape 2293 kev 1.3% component and an allowed shape 803 kev 1.0% component yields the ground state β-spectrum. Analyses were made using the electronic functions of Zerianova which assume uniform charge distribution with ρ = 1.2 A1/3 10−13 cm as well as the point charge functions of Rose with ρ = 1.41 A1/3 10−13 cm. The observed spectrum shape can be explained on 0− to 0+ selection rules only by the axial vector interaction. Limits on the permissible tensor or pseudoscalar admixtures with the axial vector are discussed. No acceptable fit is possible with tensor, pseudoscalar, or any TP admixture (interfering or not) using Rose and Osborn's pseudoscalar formalism.

scholarly journals Exact Partition Function for the Random Walk of an Electrostatic Field

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
Gabriel González
Keyword(s):  
Random Walk ◽  
Partition Function ◽  
Charge Distribution ◽  
Electrostatic Field ◽  
Electrostatic Energy ◽  
Dyck Paths

The partition function for the random walk of an electrostatic field produced by several static parallel infinite charged planes in which the charge distribution could be either ±σ is obtained. We find the electrostatic energy of the system and show that it can be analyzed through generalized Dyck paths. The relation between the electrostatic field and generalized Dyck paths allows us to sum overall possible electrostatic field configurations and is used for obtaining the partition function of the system. We illustrate our results with one example.

A spherical charge distribution in chromium metal

1982 ◽  
Vol 38 (1) ◽  
pp. 103-108 ◽  
Author(s):  
S. Ohba ◽  
Y. Saito ◽  
S. Wakoh
Keyword(s):  
Charge Distribution ◽  
Spherical Charge
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