Electric Potential and Charge Density Profiles in Inhomogeneous Interfacial Regions

1988 ◽  
pp. 897-914
Author(s):  
Vishnampet S. Vaidhyanathan
Keyword(s):  
Charge Density ◽  
Electric Potential ◽  
Density Profiles

scholarly journals Assessment of Functionals for First-Principle Studies of the Structural and Electronic Properties ofδ-Bi2O3

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
D. H. Galván ◽  
R. Núñez-González ◽  
R. Rangel ◽  
P. Alemany ◽  
A. Posada-Amarillas
Keyword(s):  
Band Structure ◽  
Charge Density ◽  
Electronic Properties ◽  
Density Of States ◽  
Lattice Parameter ◽  
Experimental Result ◽  
Ionic Character ◽  
High Symmetry ◽  
Density Profiles ◽  
Structural And Electronic Properties

Fully relativistic full-potential density functional calculations with an all-electron linearized augmented plane waves plus local orbitals method were carried out to perform a comparative study on the structural and electronic properties of the cubic oxideδ-Bi2O3phase, which is considered as one of the most promising materials in a variety of applications including fuel cells, sensors, and catalysts. Three different density functionals were used in our calculations, LDA, the GGA scheme in the parametrization of Perdew, Burke, and Ernzerhof (PBE96), and the hybrid scheme of Perdew-Wang B3PW91. The examined properties include lattice parameter, band structure and density of states, and charge density profiles. For this modification the three functionals reveal the characteristics of a metal and the existence of minigaps at high symmetry points of the band structure when spin-orbit coupling is taken into account. Density of states exhibits hybridization of Bi 6s and O 2p orbitals and the calculated charge density profiles exhibit the ionic character in the chemical bonding of this compound. The B3PW91 hybrid functional provided a better agreement with the experimental result for the lattice parameter, revealing the importance of Hartree-Fock exchange in this compound.

scholarly journals Numerical simulation of electrostatic field and flow field in an electro- static precipitator

2019 ◽  
Author(s):  
Yuying Xu ◽  
Baoqing Deng ◽  
Haiyan Zhang ◽  
Xianpeng Chen
Keyword(s):  
Field Strength ◽  
Electric Field ◽  
Charge Density ◽  
Electric Field Strength ◽  
Electric Potential ◽  
Electrostatic Precipitator ◽  
Ionic Charge ◽  
The Wire ◽  
Corona Electrode ◽  
Plate Distance

Introduction: The computational fluid dynamics (CFD) simulation of three- dimensional wire-plate electrostatic precipitator is performed in the present study. Materials and methods: The momentum equation, the electric potential equation and current continuity equation are solved by using ANSYS Fluent. The ion charge density at the corona is calculated iteratively using the Peek formula. The SIMPLE algorithm is used to treat the pressure-velocity cou- pling. The RNG k-ε model is used to describe turbulence. Results: The airflow keeps stable away from the first corona electrode. The distribution of the electric potential is dependent on the wire-plate distance and the wire-wire distance. The potential and ion charge density increase with the increase of the wire-plate distance. With the increase of wire-wire dis- tance, the maximum electric field strength decreases whereas the maximum ionic charge density increases. The ion charge density near the second corona electrode is relatively small. A small wire-wire distance will make the electric field concentrated around the wires. Conclusion: According to this study, the wire-wire distance and the wire- plate distance have great effect on the distribution of ion charge density and electric field strength.

scholarly journals Structural and Charge Density Properties of Iron Doped Nickel Oxide Synthesized by Co-Precipitation Method

2020 ◽  
Vol 8 (4S4) ◽  
pp. 131-134
Keyword(s):  
Charge Density ◽  
Structural Properties ◽  
Entropy Method ◽  
Precipitation Method ◽  
Electron Microscopic ◽  
Density Profiles ◽  
Cubic Symmetry ◽  
Ionic Nature ◽  
Co Precipitation ◽  
Surface Morphologies

Ni1-xFexO (x = 0.00, 0.01, 0.02, 0.03, 0.04) samples were successfully synthesized by co-precipitation method. Room temperature structural properties were analyzed by PXRD studies and Rietveld profile refinement technique. The structural results revealed that the samples assigned by cubic symmetry with Fm3m space group. Effects of structural properties with respect to the Iron substitutions in NiO matrix was investigated. Charge density profiles of the prepared materials were also investigated by maximum entropy method. From MEM analysis, it found that the ionic nature of Ni-O bond decreased. The surface morphologies were determined by scanning electron microscopic (SEM) measurements.

scholarly journals Surface electric potential of linear periodic charge density

2016 ◽  
Vol 714 ◽  
pp. 012012
Author(s):  
A V Koryukin ◽  
A A Akhmadeev ◽  
M Kh Salakhov
Keyword(s):  
Charge Density ◽  
Electric Potential

MULTISCALED ASYMPTOTIC EXPANSIONS FOR THE ELECTRIC POTENTIAL: SURFACE CHARGE DENSITIES AND ELECTRIC FIELDS AT ROUNDED CORNERS

2007 ◽  
Vol 17 (06) ◽  
pp. 845-876 ◽  
Author(s):  
PATRICK CIARLET ◽  
SAMIR KADDOURI
Keyword(s):  
Electric Field ◽  
Charge Density ◽  
Surface Charge ◽  
Electric Fields ◽  
Asymptotic Expansions ◽  
Electric Potential ◽  
Curvature Radius ◽  
Geometrical Shape ◽  
Empirical Formulas ◽  
Electrostatic Problem

We are interested in computing the charge density and the electric field at the rounded tip of an electrode of small curvature. As a model, we focus on solving the electrostatic problem for the electric potential. For this problem, Peek's empirical formulas describe the relation between the electric field at the surface of the electrode and its curvature radius. However, it can be used only for electrodes with either a purely cylindrical, or a purely spherical, geometrical shape. Our aim is to justify rigorously these formulas, and to extend it to more general, two-dimensional, or three-dimensional axisymmetric, geometries. With the help of multiscaled asymptotic expansions, we establish an explicit formula for the electric potential in geometries that coincide with a cone at infinity. We also prove a formula for the surface charge density, which is very simple to compute with the Finite Element Method. In particular, the meshsize can be chosen independently of the curvature radius. We illustrate our mathematical results by numerical experiments.

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