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Related Concept Videos

Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
Symmetry Elements in a Crystal01:27

Symmetry Elements in a Crystal

Crystal symmetry operations are isometric transformations that map objects onto indistinguishable copies while preserving distances, angles, and volumes. The simplest symmetry operation is translation, which shifts the entire infinite crystal lattice parallelly by a translation vector.Crystallographic rotations involve rotations by an angle of 2π/n around an axis without changing the positions of points on the axis. It is called the rotational axis of the symmetry, denoted by n. The combination...
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Membrane Asymmetry Regulating Transporters

Enzymes like flippase, floppase, and scramblase transfer phospholipids from one layer to another in the membrane, thereby affecting membrane asymmetry.
Flippase
Eukaryotic flippases are type-IV P-type ATPases or P4-ATPases belonging to P-type ATPase family proteins that are membrane-bound pumps involved in the ATP-mediated transport of ions and molecules across the membrane. Flippases flip specific phospholipids from the outer to the inner leaflet of a membrane. All P4-ATPases have one...
Electric Field of Two Equal and Opposite Charges01:30

Electric Field of Two Equal and Opposite Charges

Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...
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The Electrical Double Layer

In the region where two bulk phases meet, an intricate electric charge distribution arises due to charge transfer, ion adsorption, molecular orientation, and charge distortion. This complex distribution is commonly referred to as the electrical double layer.When a solid electrode interfaces with ions in an electrolyte solution, the speed of electron transfer dictates the rates of oxidation and reduction. The electrode acquires a charge through the escape of atoms into the solution as cations or...
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...

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Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
10:08

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy

Published on: October 24, 2017

Symmetry-modified charge flipping.

Alexander Eggeman1, Thomas White, Paul Midgley

  • 1Department of Materials Science and Metallurgy, University of Cambridge, Pembroke Street, Cambridge CB2 3QZ, UK.

Acta Crystallographica. Section A, Foundations of Crystallography
|February 20, 2009
PubMed
Summary
This summary is machine-generated.

The charge-flipping algorithm was modified to successfully incorporate symmetry constraints for solving crystal structures from diffraction data. This improved method enhances the accuracy of structure determination by avoiding early symmetry imposition.

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Area of Science:

  • Crystallography
  • Structural Biology
  • Computational Chemistry

Background:

  • Solving crystal structures from diffraction data is crucial for understanding molecular function.
  • The charge-flipping algorithm is a common method for structure solution.
  • Imposing symmetry constraints early in the charge-flipping algorithm can lead to stagnation.

Purpose of the Study:

  • To adapt the charge-flipping algorithm for the inclusion of symmetry constraints.
  • To improve the fidelity and efficiency of crystal structure solution using diffraction data.

Main Methods:

  • Modification of the charge-flipping algorithm to incorporate symmetry constraints.
  • Allowing the algorithm to find an intermediate stable solution before applying symmetry.

Main Results:

  • The modified charge-flipping algorithm successfully integrates symmetry constraints.
  • The new approach avoids the stagnation issues associated with early symmetry imposition.
  • A considerable improvement in the fidelity of solved crystal structures was observed.

Conclusions:

  • The adapted charge-flipping algorithm offers a more robust method for structure solution.
  • Careful implementation is necessary, but the benefits in structure determination accuracy are significant.
  • This advancement aids in the accurate determination of complex molecular structures.