Definition of Multipoles. Meaning of Multipoles. Synonyms of Multipoles

- exterior multipole moments of atomic nuclei from their interaction energies with the interior multipoles of the electronic orbitals. The multipole moments...
- cylindrical multipoles of the second charge density. The analogous formula holds if charge density 1 is composed of interior cylindrical multipoles U = − Q...
- extends over several atoms, and it is better to calculate the distributed multipoles by numerical quadrature over a grid of points. The grid can be defined...
- 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...
- Just as electric charge and current multipoles contribute to the electromagnetic field, m**** and m****-current multipoles contribute to the gravitational field...
- 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...
- described well using certain z-parallel pseudoorbitals, xy-plane oriented multipoles with a 3-fold rotational symmetry will prove more beneficial for flat...
- Multipole radiation is a theoretical framework for the description of electromagnetic or gravitational radiation from time-dependent distributions of...
- 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...
- Multipole magnets are magnets built from multiple individual magnets, typically used to control beams of charged particles. Each type of magnet serves...