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Related Concept Videos

Gauss's Law01:07

Gauss's Law

9.3K
If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
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Gauss's Law in Dielectrics01:17

Gauss's Law in Dielectrics

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Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
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Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

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A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
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Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

2.5K
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
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Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

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A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
9.3K
Calculations of Electric Potential II01:27

Calculations of Electric Potential II

2.2K
An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world systems, including atomic and molecular interactions. One of these systems is the water molecule, but only under certain circumstances. These circumstances are met inside a microwave oven, where electric fields with alternating directions make the water molecules change orientation. This vibration is equivalent to heat at the molecular level.
Consider a...
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GW Approximation Coupled with Classical Fluctuating Charges and Dipoles.

Giovanni Nottoli1, Piero Lafiosca1, Frank Ernesto Quintela Rodríguez1

  • 1Scuola Normale Superiore, Piazza dei Cavalieri 7, Pisa 56126, Italy.

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This study introduces a new multiscale quantum mechanics/classical method using GW approximation and fluctuating charges to model electron correlation and polarization. The approach accurately calculates ionization potentials and is applied to the Green Fluorescent Protein chromophore.

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Area of Science:

  • Computational chemistry
  • Quantum mechanics
  • Molecular modeling

Background:

  • Accurately modeling electron correlation and polarization is crucial in computational chemistry.
  • Existing methods often struggle to balance accuracy and computational cost for complex systems.

Purpose of the Study:

  • To develop a novel multiscale methodology combining GW approximation with fluctuating charges (FQ/FQFμ) force fields.
  • To accurately capture electron correlation and environment polarization effects in a computationally efficient manner.

Main Methods:

  • Utilizing the GW approximation for electron correlation.
  • Employing fluctuating charges (FQ) and fluctuating charges and dipoles (FQFμ) force fields for mutual polarization.
  • Applying the multiscale model to calculate ionization potentials and study the GFP chromophore.

Main Results:

  • The proposed methodology successfully models electron correlation and polarization effects.
  • Validated through accurate prediction of ionization potentials for aqueous phenol.
  • Demonstrated applicability to the complex Green Fluorescent Protein chromophore in aqueous solution.

Conclusions:

  • The novel multiscale QM/classical approach offers a powerful tool for studying complex molecular systems.
  • This method provides a balance of accuracy and efficiency for electronic structure calculations.
  • It opens new avenues for investigating biological molecules and materials.