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Related Concept Videos

Potential Due to a Polarized Object01:29

Potential Due to a Polarized Object

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A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
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Graphs of Polar Equations01:17

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The polar coordinate system represents points using a distance from a central point (the pole) and an angle from a reference direction (the polar axis). Unlike rectangular coordinates, polar coordinates are ideal for graphing curves with radial symmetry or periodic behavior.Some general forms of graphs in polar coordinates include the following:Equation of a Circle (Centered at the Pole):A graph where the radius remains constant for all angles traces a circle centered at the pole:Equation of a...
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The presence of a dielectric medium in a capacitor not only changes the voltage and capacitance but also affects the electric field. In general, dielectrics can be of two types: polar and nonpolar. In a polar dielectric, the positive and negative charges in the molecules are separated by a distance and hence have a permanent dipole moment. In contrast, no such charge separation exists in a nonpolar dielectric, however the nonpolar molecules get polarized in the presence of an external electric...
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Polar Equations of Conics01:29

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A conic section can be defined in polar coordinates as the set of all points whose distance from a fixed point, known as the focus, bears a constant ratio to their distance from a fixed line, known as the directrix. This constant ratio is called the eccentricity. This definition unifies all types of conic sections—ellipses, parabolas, and hyperbolas—under a single framework. When the focus is positioned at the origin of the polar coordinate system, a single polar equation can...
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Hückel's Rule Diagram of π MOs: Frost Circle01:08

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The Frost circle or the inscribed polygon method is a graphical method for determining the relative energies of π molecular orbitals (MOs) for planar, fully conjugated, and monocyclic compounds. This method was first described by A. A. Frost and Boris Musulin in 1953.
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Accurate Classical Polarization Solution with No Self-Consistent Field Iterations.

Alex Albaugh, Anders M N Niklasson1, Teresa Head-Gordon2

  • 1Theoretical Division, Los Alamos National Laboratory , Los Alamos, New Mexico 87545, United States.

The Journal of Physical Chemistry Letters
|March 29, 2017
PubMed
Summary
This summary is machine-generated.

We developed a new SCF-less classical polarization method, iEL/0-SCF, that accurately simulates systems from water to proteins without computational expense. This breakthrough offers significant speedups for molecular simulations.

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Area of Science:

  • Computational Chemistry
  • Molecular Dynamics
  • Quantum Chemistry

Background:

  • Classical polarization calculations are computationally expensive due to the need for self-consistent field (SCF) iterations.
  • Existing methods often require time-reversible initial guesses for SCF solutions, adding complexity.
  • Accurate molecular simulations are crucial for understanding chemical and biological processes.

Purpose of the Study:

  • To introduce a novel, computationally efficient method for classical polarization that eliminates the need for SCF iterations.
  • To demonstrate that the new method maintains simulation accuracy across diverse chemical environments.
  • To provide a faster alternative to traditional SCF-based polarization calculations.

Main Methods:

  • Development of the iEL/0-SCF approach, building upon the iEL/SCF Lagrangian scheme.
  • Utilizing auxiliary induced dipoles to drive the time evolution of real induced dipoles.
  • Ensuring the system remains close to the Born-Oppenheimer surface for an SCF-less calculation.

Main Results:

  • The iEL/0-SCF method achieves SCF-less classical polarization without loss of accuracy.
  • Simulations across bulk water, salt solutions, and systems with solutes/proteins show comparable accuracy to SCF methods.
  • Significant computational savings are achieved compared to traditional SCF calculations.

Conclusions:

  • The iEL/0-SCF method provides a computationally efficient and accurate solution for classical polarization.
  • This approach accelerates molecular simulations, particularly for complex systems.
  • The method is as fast as existing reversible reference system propagator algorithms.