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Gauss's Law01:07

Gauss's Law

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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

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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

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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

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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...
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Calculations of Electric Potential II01:27

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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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Finite Element Modelling of a Cellular Electric Microenvironment
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Aproximación GW Acoplada con Cargas y Dieléctricos Fluctuantes Clásicos

Giovanni Nottoli1, Piero Lafiosca1, Frank Ernesto Quintela Rodríguez1

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

Journal of chemical theory and computation
|December 23, 2025
PubMed
Resumen

Este estudio presenta un nuevo método multiescala de mecánica cuántica/clásico que utiliza la aproximación GW y cargas fluctuantes para modelar la correlación electrónica y la polarización. El enfoque calcula con precisión los potenciales de ionización y se aplica al cromóforo de la proteína verde fluorescente.

Palabras clave:
aproximación GWcargas fluctuantesmétodo multiescalaestructura electrónicapotencial de ionizaciónproteína verde fluorescentequímica cuánticamodelado molecular

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Área de la Ciencia:

  • Química computacional
  • Mecánica cuántica
  • Modelado molecular

Sus antecedentes:

  • El modelado preciso de la correlación electrónica y la polarización es crucial en química computacional.
  • Los métodos existentes a menudo luchan por equilibrar la precisión y el costo computacional para sistemas complejos.

Objetivo del estudio:

  • Desarrollar una metodología multiescala novedosa que combine la aproximación GW con campos de fuerza de cargas fluctuantes (FQ/FQFμ).
  • Capturar con precisión los efectos de la correlación electrónica y la polarización del entorno de manera computacionalmente eficiente.

Principales métodos:

  • Utilización de la aproximación GW para la correlación electrónica.
  • Empleo de campos de fuerza de cargas fluctuantes (FQ) y cargas y dieléctricos fluctuantes (FQFμ) para la polarización mutua.
  • Aplicación del modelo multiescala para calcular los potenciales de ionización y estudiar el cromóforo GFP.

Principales resultados:

  • La metodología propuesta modela con éxito los efectos de la correlación electrónica y la polarización.
  • Validado a través de la predicción precisa de los potenciales de ionización del fenol acuoso.
  • Demostró aplicabilidad al complejo cromóforo de la proteína verde fluorescente en solución acuosa.

Conclusiones:

  • El novedoso enfoque multiescala QM/clásico ofrece una herramienta poderosa para estudiar sistemas moleculares complejos.
  • Este método proporciona un equilibrio entre precisión y eficiencia para los cálculos de la estructura electrónica.
  • Abre nuevas vías para la investigación de moléculas biológicas y materiales.