Electrostatic potential above the (100) surface plane of a face-centred cubic ionic crystal with a continuous three-dimensional electron charge density distribution
A. Ben-Ephraim, Mordechai Folman
Abstract
A. Ben-Ephraim, Mordechai Folman
Abstract
The electrostatic potential above the (100) surface plane of a face-centred cubic ionic crystal has been calculated using a point-charge distribution for the positive nuclei and a continuous three-dimensional charge-density distribution for electrons. The continuous electron charge distribution has been obtained from the known results of a Fourier crystal-structure analysis. The results for the electric field and its different gradients are compared with those obtained from the previously calculated two-dimensional projected density function and from the Lennard-Jones and Dent model (point-charge distributions for both the positive and negative ions). It is found that the three models differ significantly in their predictions of the electrostatic potential and its derivatives.
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The electrostatic potential above the (100) surface plane of a face-centred cubic ionic crystal has been calculated using a point-charge distribution for the positive nuclei and a continuous three-dimensional charge-density distribution for electrons. The continuous electron charge distribution has been obtained from the known results of a Fourier crystal-structure analysis. The results for the electric field and its different gradients are compared with those obtained from the previously calculated two-dimensional projected density function and from the Lennard-Jones and Dent model (point-charge distributions for both the positive and negative ions). It is found that the three models differ significantly in their predictions of the electrostatic potential and its derivatives.
Key concepts: Charge density, Ionic bonding, Electron, Ionic potential, Ion, Crystal (programming language), Plane (geometry), Point particle