Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

2.1K
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity....
2.1K
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

1.1K
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
1.1K
Optimization Problems01:26

Optimization Problems

180
Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
180
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

2.9K
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...
2.9K
Gauss's Law01:07

Gauss's Law

10.4K
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.
10.4K
Equipotential Surfaces and Field Lines01:29

Equipotential Surfaces and Field Lines

5.4K
Electric potential can be pictorially represented as a three-dimensional surface. On such a surface, the electric potential is constant everywhere. The equipotential surface is always perpendicular to the electric field lines, and while it is three-dimensional, it can be treated as an equipotential line in a two-dimensional case. These equipotential lines are also always perpendicular to electric field lines. The term equipotential is often used as a noun, referring to an equipotential line or...
5.4K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Effect of Salt Additives on Dinitrogen Activation Mediated by Boron-Based Compounds: Insights from Theory.

Inorganic chemistry·2026
Same author

Asymmetric α-Alkylation With Activated and Unactivated Electrophiles by a Highly Productive and Recyclable Lewis Acid/Imidazolium Catalyst.

Angewandte Chemie (International ed. in English)·2026
Same author

How to Train a Shallow Ensemble.

Journal of chemical theory and computation·2026
Same author

Fibroblast growth factor 23 is associated with cardiac disease severity in transthyretin amyloid cardiomyopathy.

Scientific reports·2026
Same author

Desorption dynamics of interstellar molecule on amorphous solid water investigated by machine learning potential-based PaCS-MD simulation.

The Journal of chemical physics·2026
Same author

Insights into the renin-angiotensin-aldosterone system in transthyretin amyloid cardiomyopathy.

European journal of heart failure·2026

Related Experiment Video

Updated: Mar 29, 2026

Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

12.2K

Exploiting QM/MM Capabilities in Geometry Optimization:  A Microiterative Approach Using Electrostatic Embedding.

Johannes Kästner1, Stephan Thiel1, Hans Martin Senn1

  • 1Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany, and Computational Science and Engineering Department, CCLRC Daresbury Laboratory, Daresbury, Warrington WA4 4AD, United Kingdom.

Journal of Chemical Theory and Computation
|December 3, 2015
PubMed
Summary

We developed a new microiterative adiabatic scheme for quantum mechanical/molecular mechanical (QM/MM) energy minimization. This method efficiently optimizes large molecular mechanical regions, reducing QM calculations by 2-10 times without losing accuracy.

More Related Videos

Using Laser Scanning Microscopy to Determine Electromigration in Molybdenum Disilicide
09:41

Using Laser Scanning Microscopy to Determine Electromigration in Molybdenum Disilicide

Published on: May 23, 2025

653
Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

4.1K

Related Experiment Videos

Last Updated: Mar 29, 2026

Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

12.2K
Using Laser Scanning Microscopy to Determine Electromigration in Molybdenum Disilicide
09:41

Using Laser Scanning Microscopy to Determine Electromigration in Molybdenum Disilicide

Published on: May 23, 2025

653
Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

4.1K

Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Biochemistry

Background:

  • Quantum mechanical/molecular mechanical (QM/MM) methods are crucial for studying large systems.
  • Efficient energy minimization is essential for QM/MM simulations.
  • Standard QM/MM optimization can be computationally expensive, especially for large molecular mechanics (MM) regions.

Purpose of the Study:

  • To present a novel microiterative adiabatic scheme for QM/MM energy minimization.
  • To improve the efficiency of QM/MM energy minimization, particularly for systems with large MM regions.
  • To ensure accuracy and excellent convergence properties in QM/MM optimization.

Main Methods:

  • A microiterative adiabatic scheme is introduced for QM/MM energy minimization.
  • The scheme fully optimizes the MM part within each QM macroiteration.
  • Electrostatic QM/MM interactions are computed using on-the-fly fitted electrostatic potential charges to the QM density.
  • Corrections to energy and gradient expressions ensure consistency between macro- and microiterations.
  • The method is tested on water clusters, enzymes, and surface models using various embedding schemes (mechanical, electrostatic, polarized).

Main Results:

  • The proposed scheme demonstrates excellent convergence properties.
  • No loss of accuracy is observed compared to standard QM/MM optimization methods.
  • The computational cost is nearly independent of the MM system size, making it suitable for large MM regions.
  • Microiterations typically reduce the number of required QM calculations by a factor of 2-10.

Conclusions:

  • The microiterative adiabatic QM/MM scheme offers a significant computational advantage for large systems.
  • The method provides an accurate and efficient approach for energy minimization in complex molecular systems.
  • This technique is particularly beneficial for simulations involving extensive MM environments.