Explore: Multipoles

exterior multipole moments of atomic nuclei from their interaction energies with the interior multipoles of the electronic orbitals. The multipole moments

ordering constituted by high rank multipoles, e.g. quadruple, octuple, etc. Due to the strong spin-orbit coupling, multipoles are automatically introduced

Multipole radiation is a theoretical framework for the description of electromagnetic or gravitational radiation from time-dependent distributions of

Just as electric charge and current multipoles contribute to the electromagnetic field, mass and mass-current multipoles contribute to the gravitational field

boundary with the constellation Leo The CMB dipole and aberration at higher multipoles have been measured, consistent with galactic motion. Despite the very

The fast multipole method (FMM) is a numerical technique that was developed to speed up the calculation of long-ranged forces in the n-body problem. It

parity does not change for E-even or M-odd multipoles, while it changes for E-odd or M-even multipoles. These considerations generate different sets

absence of the high voltages that are required for electrostatic lenses. Multipoles beyond the quadrupole can correct for spherical aberration and in particle

definition of the multipole moment which is proportional to Yℓm, not to its complex conjugate. This is a common convention, see molecular multipoles for more on

angular momentum leads to selection rules, i.e., rules defining which multipoles may or may not be emitted in particular transitions. To make a simple