Dotriacontapoles -- almost self-assembled

Abstract

The magnetic field of a cuboidal cluster of eight magnetic spheres is measured. It decays with the inverse seventh power of the distance. This corresponds formally to a hitherto unheard-of multipole, namely a dotriacontapole. This strong decay is explained on the basis of dipole-dipole interaction and the symmetry of the ensuing ground state of the cuboidal cluster. A method to build such dotriacontapoles is provided.

References in corpus (3)

• Infinite Geometric Frustration in a Cubic Dipole Cluster
• Exploring cogging free magnetic gears
• Self-assembly of magnetic iron oxide nanoparticles into cuboidal superstructures

Cited by in corpus (4)

• Analytic approach to creating homogeneous fields with finite-size magnets
• Dynamics of a magnetic gear with two cogging-free operation modes
• Discretized Halbach spheres: Icosahedral symmetry for optimal field homogeneity
• Comment on "Hysteretic transition between states of a filled hexagonal magnetic dipole cluster"