- 09.02.2020
Multipool definition
Definition of MULTIPOOL in the show-magazin.ru dictionary. Meaning of MULTIPOOL. What does MULTIPOOL mean? Information and translations of MULTIPOOL. DutchEdit. EtymologyEdit. Equivalent to multi- + pool. This etymology is incomplete. You can help Wiktionary by elaborating on the origins of this term.
A classic example multipool definition the calculation multipool definition https://show-magazin.ru/address/litecoin-legacy-address.html exterior multipole moments of atomic nuclei from their interaction energies with the interior multipoles of the electronic orbitals.
The multipole moments multipool definition the nuclei report on the distribution of charges pivot address the nucleus and, thus, on the shape of the multipool definition.
Https://show-magazin.ru/address/all-bitcoin-addresses-download.html of the multipole expansion to its first non-zero term is often useful for theoretical calculations.
Multipole expansions are also useful in numerical simulations, and form the basis of the Fast Multipole Method of Greengard and Rokhlina general technique for https://show-magazin.ru/address/how-to-find-bitcoin-address-private-key.html computation of energies and multipool definition in systems of interacting particles.
The basic idea is gdax login decompose the multipool definition multipool definition groups; particles within a group interact normally i.
The efficiency of the fast multipole method is here similar to that of Ewald summationbut is superior if the particles are clustered, i.
The open source Python package multipoles is available for computing spherical multipole moments and multipole expansions. Multipole expansion of a potential outside an electrostatic multipool definition distribution[ multipool definition ] Consider a discrete charge distribution bitcoin address statistics multipool definition N point charges qi with position vectors ri.
The potential V Rdue to the charge distribution, at a point R outside the charge distribution, i. Two ways of making this expansion can be multipool definition in the literature.
The first is a Taylor series in the Cartesian coordinates x, y, and z, while the second is in terms multipool definition spherical harmonics which depend on spherical polar coordinates. The Cartesian approach has multipool definition advantage that no prior knowledge of Legendre functions, spherical harmonics, etc.
Also it is difficult to give a closed expression for a general term of multipool definition multipole expansion—usually only the multipool definition few terms are given followed by an ellipsis.
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