multipole moment वाक्य
उदाहरण वाक्य
मोबाइल
- In a sphere placed in an arbitrary non-stationary flow field of viscous incompressible fluid for stick boundary conditions where the force density s calculations leads to show the generalization of Faxen's theorem to force multipole moments of arbitrary order.
- The basic idea is to decompose the particles into groups; particles within a group interact normally ( i . e ., by the full potential ), whereas the energies and forces between groups of particles are calculated from their multipole moments.
- The electrostatic interaction model of ions in solids has thus been extended to a point multipole concept that also includes higher multipole moments like dipoles, quadrupoles etc . These concepts require the determination of higher order Madelung constants or so-called electrostatic lattice constants.
- The creator of the theory of general relativity, Albert Einstein, argued in 1916 that gravitational radiation should be produced, according to his theory, by any mass-energy configuration that has a time-varying quadrupole moment ( or higher multipole moment ).
- In the first ( more common ) case, the coefficients of the series expansion are called " exterior multipole moments " or simply " multipole moments " whereas, in the second case, they are called " interior multipole moments ".
- In the first ( more common ) case, the coefficients of the series expansion are called " exterior multipole moments " or simply " multipole moments " whereas, in the second case, they are called " interior multipole moments ".
- In the first ( more common ) case, the coefficients of the series expansion are called " exterior multipole moments " or simply " multipole moments " whereas, in the second case, they are called " interior multipole moments ".
- In weak field general relativity, it is convenient to treat isolated sources using another type of multipole, which generalize the Weyl moments to " mass multipole moments " and " momentum multipole moments ", characterizing respectively the distribution of mass and of momentum of the source.
- In weak field general relativity, it is convenient to treat isolated sources using another type of multipole, which generalize the Weyl moments to " mass multipole moments " and " momentum multipole moments ", characterizing respectively the distribution of mass and of momentum of the source.
- This is usually informally stated as follows : " any inhomogeneities in the spacetime geometry outside a black hole will be radiated away " . ( Any such inhomogeneities can be quantified as nonzero higher multipole moments . ) Price's theorem explains how the no hair theorem is enforced.
- Q _ { \ ell m } is the same as the electric multipole moment in the static case if it were applied to the static charge distribution \ rho ( \ mathbf { x } ) whereas Q _ { \ ell m }'corresponds to an induced electric multipole moment from the intrinsic magnetization of the source material.
- Q _ { \ ell m } is the same as the electric multipole moment in the static case if it were applied to the static charge distribution \ rho ( \ mathbf { x } ) whereas Q _ { \ ell m }'corresponds to an induced electric multipole moment from the intrinsic magnetization of the source material.
- More precisely, type "'D "'fields occur as the field of a gravitating object which is completely characterized by its mass and angular momentum . ( A more general object might have nonzero higher multipole moments . ) The two double principal null directions define " radially " ingoing and outgoing null congruences near the object which is the source of the field.
- At present it seems that only approximate solutions modeling slowly rotating fluid balls are known . ( Slowly rotating fluid balls are the relativistic analog of oblate spheroidal balls with nonzero mass and angular momentum but vanishing higher multipole moments . ) However, the exterior of the Neugebauer Meinel disk, an exact dust solution which models a rotating thin disk, approaches in a limiting case the GM ^ 2 = cJ Kerr geometry.
- Both ordinary and collision-induced spectra may be observed in emission and absorption and require an electric or magnetic multipole moment-in most cases an electric dipole moment-to exist for an optical transition to take place from an initial to a final quantum state of a molecule or a molecular complex . ( For brevity of expression we will use here the term " molecule " interchangeably for atoms as well as molecules ).
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