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Related Concept Videos

Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

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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...
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Gauss's Law01:07

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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

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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Electrical Conductivity01:13

Electrical Conductivity

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In perfect conductors, the electric field inside is always zero due to the abundance of free electrons, which nullify any field by flowing. As a result, any residual charge resides on the surface.
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
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Electrogravimetric Analysis: Overview01:30

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Electrogravimetric analysis measures the weight of an analyte deposited electrolytically onto a suitable working electrode. This method involves applying a potential to a pre-weighed electrode submerged in a solution, which results in the desired substance being deposited through reduction at the cathode or oxidation at the anode. The electrode's weight is recorded after deposition, and the difference in weight gives the analyte's weight in the solution.
To test the completeness of the...
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Calibration Curves: Linear Least Squares01:20

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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Learning Conductance: Gaussian Process Regression for Molecular Electronics.

Michael Deffner1,2, Marc Philipp Weise1, Haitao Zhang1

  • 1Institute of Inorganic and Applied Chemistry, University of Hamburg, Hamburg22761, Germany.

Journal of Chemical Theory and Computation
|January 24, 2023
PubMed
Summary
This summary is machine-generated.

Machine learning, specifically Gaussian process regression, can now efficiently model molecular conductance histograms. This significantly reduces computational costs, making complex simulations more routine for charge transport studies.

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Area of Science:

  • Molecular electronics
  • Quantum transport phenomena
  • Computational condensed matter physics

Background:

  • Experimental charge transport studies use break junction setups, yielding statistical conductance distributions.
  • Modeling these distributions and experimental structural changes is computationally demanding for theoretical methods.
  • Accurate quantum transport calculations are limited to few conformations, neglecting experimental conformational diversity.

Purpose of the Study:

  • To investigate machine learning, particularly Gaussian process regression, for modeling molecular conductance histograms.
  • To reduce the computational expense associated with simulating conductance histograms.
  • To enable routine evaluation of conductance histograms using computationally intensive methods.

Main Methods:

  • Utilizing Gaussian process regression with specific structural parameters as features.
  • Predicting zero-bias conductance from molecular structures.
  • Reducing the number of required charge transport calculations.

Main Results:

  • Gaussian process regression efficiently predicts zero-bias conductance.
  • Computational cost for simulating conductance histograms is reduced by an order of magnitude.
  • Enables efficient calculation of conductance histograms even with first-principles approaches.

Conclusions:

  • Machine learning offers a viable solution for the computational challenges in modeling conductance histograms.
  • This approach facilitates routine evaluation of conductance histograms, bridging theory and experiment.
  • Paves the way for more comprehensive understanding of charge transport in molecular junctions.