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Gauss's Law: Planar Symmetry01:27

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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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When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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Symmetry in Maxwell's Equations01:28

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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...
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Reduced Mass Coordinates: Isolated Two-body Problem01:12

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Author Spotlight: Exploring Cellular Processes by Modeling Ligands in Cryo-EM Maps
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Noncrystallographic symmetry-constrained map obtained by direct density optimization.

Masato Yoshimura1, Nai Chi Chen1, Hong Hsiang Guan1

  • 1Life Science Group, Scientific Research Division, National Synchrotron Radiation Research Center, 101 Hsin-Ann Road, Hsinchu 30076, Taiwan.

Acta Crystallographica. Section D, Structural Biology
|February 11, 2020
PubMed
Summary
This summary is machine-generated.

A new method refines electron density directly under noncrystallographic symmetry (NCS) constraints, offering an alternative to NCS averaging for solving complex viral structures with limited or twinned data.

Keywords:
NCS-constrained mapREFMAC5direct density optimizationnoncrystallographic symmetrytwinning

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Fully Autonomous Characterization and Data Collection from Crystals of Biological Macromolecules
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Area of Science:

  • Structural biology
  • Crystallography
  • Virology

Background:

  • Noncrystallographic symmetry (NCS) averaging is standard for solving structures with multiple molecules in an asymmetric unit, like viral particles.
  • This method is crucial for determining the three-dimensional structure of viruses and other macromolecular assemblies.

Purpose of the Study:

  • To propose and validate a novel method for optimizing or refining electron density directly under NCS constraints.
  • To provide an alternative to conventional NCS averaging, particularly for challenging datasets.

Main Methods:

  • Developed a direct electron density refinement approach under NCS constraints.
  • Applied the method to a T = 1 shell-domain subviral particle of Penaeus vannamei nodavirus.
  • Utilized REFMAC5 refinement software for the application.

Main Results:

  • The new method achieves similar outcomes to conventional NCS averaging without Fourier synthesis.
  • Demonstrated effectiveness on a viral particle dataset affected by twinning and limited resolution.
  • Successfully refined the electron density under NCS constraints.

Conclusions:

  • Direct electron density refinement under NCS constraints is a viable alternative to NCS averaging.
  • This approach shows significant advantages for solving structures with limited, twinned, or low-resolution data.
  • The method is particularly beneficial for complex biological assemblies like viral particles.