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Related Concept Videos

Symmetric Member in Bending01:07

Symmetric Member in Bending

In the study of the mechanics of materials, analyzing the behavior of prismatic members under opposing couples is crucial for understanding internal stress distributions, which are essential for structural design. When subjected to couples, a prismatic member experiences internal forces that maintain equilibrium. A couple, characterized by two equal and opposite forces, creates a moment but no resultant force. The internal forces at any section cut of the member must balance these external...
Symmetry01:26

Symmetry

The equation of an ellipse centered at the origin defines all points whose distances from the center maintain a constant ratio between the horizontal and vertical axes. This equation results in a smooth, closed curve that extends further along the x-axis than the y-axis, giving it a horizontal orientation. Such an ellipse demonstrates three kinds of symmetry: across the x-axis, across the y-axis, and about the origin. These symmetries are essential in understanding the graph's structure and...
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...
Unsymmetric Bending01:18

Unsymmetric Bending

Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The orientation of the...
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...
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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Related Experiment Video

Updated: May 9, 2026

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion
08:19

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Published on: January 15, 2016

Note: Is it symmetric or not?

John F Stanton

    The Journal of Chemical Physics
    |August 2, 2013
    PubMed
    Summary
    This summary is machine-generated.

    Molecules can distort from high symmetry due to the pseudo-Jahn-Teller effect. This is crucial for understanding molecular structures, especially for molecules like BNB with flat potential energy surfaces.

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    Area of Science:

    • Quantum chemistry
    • Molecular symmetry
    • Computational chemistry

    Background:

    • Review of known reasons for molecular distortion from idealized high symmetry configurations.
    • Contextualization within recent scientific debate concerning the Boron-Nitrogen-Boron (BNB) molecule.

    Discussion:

    • Emphasis on the pseudo-Jahn-Teller effect as a key mechanism driving molecular distortions.
    • Exploration of the relevance and correct interpretation of molecular symmetry questions when adiabatic potential energy surfaces are exceptionally flat.

    Key Insights:

    • The pseudo-Jahn-Teller effect is a significant factor in molecular geometry changes.
    • Proper interpretation of symmetry in computational chemistry is vital, particularly for systems with flat potential energy surfaces.

    Outlook:

    • Further investigation into the pseudo-Jahn-Teller effect in various molecular systems.
    • Refined methodologies for interpreting molecular symmetry in computational studies involving flat potential energy surfaces.