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Related Concept Videos

Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

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...
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

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.
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Detection of Gross Error: The Q Test01:00

Detection of Gross Error: The Q Test

When one or more data points appear far from the rest of the data, there is a need to determine whether they are outliers and whether they should be eliminated from the data set to ensure an accurate representation of the measured value. In many cases, outliers arise from gross errors (or human errors) and do not accurately reflect the underlying phenomenon. In some cases, however, these apparent outliers reflect true phenomenological differences. In these cases, we can use statistical methods...

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Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
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Published on: September 17, 2021

Evaluating boundary dependent errors in QM/MM simulations.

Iván Solt1, Petr Kulhánek, István Simon

  • 1Institute of Enzymology, Biological Research Center, Hungarian Academy of Sciences, Budapest, Hungary.

The Journal of Physical Chemistry. B
|April 4, 2009
PubMed
Summary
This summary is machine-generated.

Hybrid quantum mechanics/molecular mechanics (QM/MM) simulations require careful QM region selection. Errors in QM/MM calculations depend heavily on QM region size, necessitating convergence testing for accurate biochemical simulations.

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Last Updated: Jun 24, 2026

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
06:37

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Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
05:51

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method

Published on: July 19, 2019

Area of Science:

  • Computational Chemistry
  • Biochemistry
  • Molecular Modeling

Background:

  • Hybrid quantum mechanics/molecular mechanics (QM/MM) is vital for studying biochemical reactions.
  • Current QM/MM methods often define the quantum region arbitrarily.
  • Systematic assessment of QM region size effects on simulation accuracy is lacking.

Purpose of the Study:

  • To investigate the impact of quantum region size on simulation accuracy in QM/MM.
  • To evaluate force errors and free energy changes for a proton transfer reaction in lysozyme.
  • To propose a convergence test for defining the QM region in QM/MM simulations.

Main Methods:

  • Utilized hybrid quantum mechanics/molecular mechanics (QM/MM) simulations.
  • Employed lysozyme as a model system for biochemical reactions.
  • Analyzed force errors and free energy of proton transfer concerning QM region radius.

Main Results:

  • Average force error decreased with increasing QM region size in apolar environments.
  • Higher, oscillating force errors were observed in polar active sites, decreasing slowly with size.
  • Free energy results showed significant changes within tested QM region limits (up to 6.0 Å).

Conclusions:

  • QM/MM simulation accuracy is highly sensitive to the definition and size of the quantum region.
  • A systematic convergence test for the quantum region is crucial for reliable QM/MM simulations.
  • Arbitrary QM region selection can lead to substantial errors in biochemical reaction studies.