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Related Concept Videos

Potential Due to a Polarized Object01:29

Potential Due to a Polarized Object

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A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
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When placed in an external electric field, a dielectric material gets polarized. The charge density in the dielectric material is given by the sum of the bound and free charge densities, while the total charge density can also be written in terms of the total electric field. The bound charge density can be measured in terms of polarization, leading to the relationship between electric displacement and polarization.
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The presence of a dielectric medium in a capacitor not only changes the voltage and capacitance but also affects the electric field. In general, dielectrics can be of two types: polar and nonpolar. In a polar dielectric, the positive and negative charges in the molecules are separated by a distance and hence have a permanent dipole moment. In contrast, no such charge separation exists in a nonpolar dielectric, however the nonpolar molecules get polarized in the presence of an external electric...
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Consider two charges of equal magnitude but opposite signs. If they cannot be separated by an external electric field, the system is called a permanent dipole. For example, the water molecule is a dipole, making it a good solvent.
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Origin-Independent Dynamic Polarizability Density from Coupled Cluster Response Theory.

F F Summa1,2, J H Andersen1, P Lazzeretti2

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Electron correlation significantly impacts electric dipole polarizability density, revealing hidden deviations in molecular calculations. Coupled cluster singles and doubles (CCSD) methods offer a more accurate picture than simpler theories.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Molecular Properties

Background:

  • Origin-independent dynamic electric dipole polarizability density calculations were previously limited to uncorrelated and Density Functional Theory (DFT) methods.
  • Understanding electron correlation's role in polarizability is crucial for accurate molecular modeling.

Purpose of the Study:

  • To develop and implement origin-independent dynamic electric dipole polarizability density calculations at the Coupled Cluster Singles and Doubles (CCSD) level.
  • To investigate the impact of electron correlation on polarizability density distributions.

Main Methods:

  • Implementation of origin-independent dynamic electric dipole polarizability density at the CCSD level of theory.
  • Pointwise analysis of polarizability densities for various molecules using Hartree-Fock (HF), CCSD, and B3LYP methods.

Main Results:

  • Electron correlation effects on polarizability density are substantially larger than suggested by integrated polarizability values.
  • Significant deviations, particularly in internuclear regions, are masked by error compensation during integration.
  • Comparison between CCSD and B3LYP shows sign reversals in deviations compared to CCSD and HF, highlighting differences in electron correlation treatment.

Conclusions:

  • CCSD level calculations reveal that electron correlation plays a critical role in shaping dynamic electric dipole polarizability density.
  • Standard integration methods can obscure important localized deviations in polarizability density, necessitating pointwise analysis.
  • The choice of theoretical method (e.g., HF, DFT, CCSD) significantly influences the calculated polarizability density, with notable differences in electron correlation effects.