Related Experiment Video
Updated: Sep 6, 2025

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Normal-mode oscillations for the circular and dipolar states of a filled hexagonal magnetic dipole cluster
Peter T Haugen1, Andrew D P Smith2, Boyd F Edwards1
1Department of Physics, Utah State University, Logan, Utah 84322, USA.
Abstract:
We analyze the rotational dynamics of six magnetic dipoles of identical strength at the vertices of a regular hexagon with a variable-strength dipole in the center. The seven dipoles spin freely about fixed axes that are perpendicular to the plane of the hexagon, with their dipole moments directed parallel to the plane. Equilibrium dipole orientations are calculated as a function of the relative strength of the central dipole. Small-amplitude perturbations about these equilibrium states are calculated in the absence of friction and are compared with analytical results in the limit of zero and infinite central dipole strength. Normal modes and frequencies are presented. Bifurcations are seen at two critical values of the central dipole strength, with bistability between these values.
Related Concept Videos
Atomic Nuclei: Nuclear Relaxation Processes
Atomic Nuclei: Nuclear Spin State Overview
Atomic Nuclei: Nuclear Magnetic Moment
Atomic Nuclei: Nuclear Spin State Population Distribution
Diamagnetism
Diamagnetism was discovered by Anton Brugmans in 1778 when he observed that bismuth gets repelled by magnetic fields, thus theorizing that diamagnets get repelled by magnets....
Atomic Nuclei: Magnetic Resonance

