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Related Concept Videos

Significance of Displacement Current01:27

Significance of Displacement Current

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A displacement current is analogous to a real current in Ampère's law, participating in Ampère's law the same way as the usual conduction current. However, it is produced by a changing electric field. Displacement current is defined in terms of a time-varying electric field, and also has an associated displacement current density. By adding a term accounting for displacement current, Maxwell modified the existing Ampère's law, which is now called generalized Ampère's law.
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Displacement Current01:19

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Ampère's law, in its usual form, does not work in places where the current changes with time and is not steady. Thus, Maxwell suggested including an additional contribution, called the displacement current, Id, to the real conduction current I.
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Ampere-Maxwell's Law: Problem-Solving01:17

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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
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For the first part of the...
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Continuous Charge Distributions01:17

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Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
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Electrochemical Systems01:24

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Electrochemical systems provide a fascinating insight into the dynamic interplay of charged species within various phases. One notable example is the interaction between a membrane permeable to K⁺ ions but not to Cl⁻ ions, separating an aqueous KCl solution from pure water. As K⁺ ions diffuse through the membrane, they generate net charges on each phase, leading to a potential difference between them.Similarly, when a piece of Zn is immersed in an aqueous ZnSO₄ solution,...
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Electric Field of a Charged Disk01:23

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The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
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Finite Element Modelling of a Cellular Electric Microenvironment
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Advances in Charge Displacement Analysis.

Giovanni Bistoni1,2, Leonardo Belpassi2, Francesco Tarantelli1,2

  • 1Dipartimento di Chimica, Biologia e Biotecnologie, Università di Perugia , Via Elce di Sotto 8, 06123 Perugia, Italy.

Journal of Chemical Theory and Computation
|January 30, 2016
PubMed
Summary
This summary is machine-generated.

New density-based descriptors quantify charge transfer and polarization in chemical bonds. These charge displacement parameters offer a simple yet accurate view of chemical interactions and bond formation.

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Area of Science:

  • * Quantum chemistry
  • * Computational chemistry
  • * Theoretical chemistry

Background:

  • * Chemical bond formation involves complex charge rearrangements.
  • * Quantifying charge transfer and polarization is crucial for understanding chemical interactions.
  • * Existing methods may lack simplicity or direct chemical interpretability.

Purpose of the Study:

  • * To introduce novel density-based descriptors for quantifying charge transfer and polarization.
  • * To develop chemically meaningful parameters that simplify the analysis of charge rearrangement during bond formation.
  • * To provide a versatile tool applicable across various chemical contexts.

Main Methods:

  • * Definition of general density-based charge displacement (CD) descriptors.
  • * Calculation of CD parameters using the established CD function.
  • * Application in conjunction with Natural Orbitals for Chemical Valence (NOCV) theory.
  • * Integration with the extended transition state (ETS) method for energy decomposition analysis.

Main Results:

  • * Developed CD parameters effectively quantify total charge displacement, charge transfer, and intra-fragment rearrangements.
  • * Demonstrated the calculation of these parameters using the CD function.
  • * Showcased the utility in analyzing metal-ligand bonds, including donation and back-donation.
  • * Established a relationship between CD parameters and NOCV eigenvalues.
  • * Validated the approach by estimating charge transfer and polarization contributions to interaction energy in a prototype case study (N-heterocyclic carbene-metal bonds).

Conclusions:

  • * The new CD parameters offer a simple and accurate method for characterizing charge redistribution in chemical bonds.
  • * This approach provides valuable insights into electronic interactions, applicable from weak interactions to coordination chemistry.
  • * The method's compatibility with established theories like NOCV and ETS enhances its utility in computational chemistry research.