Taking of the complex conjugate leads to a definition of the multipole moment which is proportional to " Y " lm, not to its complex conjugate.
12.
Accordingly, every time-dependent multipole moment must contribute radiant energy density that scales as 1 / r ^ 2, regardless of the order of the moment.
13.
In practice, many fields can be well approximated with a finite number of multipole moments ( although an infinite number may be required to reconstruct a field exactly ).
14.
Bader's analysis allows many properties such as multipole moments, energies and forces, to be partitioned in a defensible and consistent manner to individual atoms within molecules.
15.
The interaction between two permanent multipole moments also contributes to the intermolecular force and the first term ( quadrupole-quadrupole ) is as important as the London dispersion force.
16.
A number of these force fields are being developed to utilise multipole moments, as oppose to point charges, given that multipole moments can reflect the charge anisotropy of the molecules.
17.
A number of these force fields are being developed to utilise multipole moments, as oppose to point charges, given that multipole moments can reflect the charge anisotropy of the molecules.
18.
London dispersion forces, named after the German-American physicist Fritz London, are weak intermolecular forces that arise from the interactive forces between instantaneous multipoles in molecules without permanent multipole moments.
19.
More technically, the third time derivative of the multipole moment ) of an isolated system's stress energy tensor must be non-zero in order for it to emit gravitational radiation.
20.
If the Kerr Newman potential is considered as a model for a classical electron, it predicts an electron having not just a magnetic dipole moment, but also other multipole moments, such as an electric quadrupole moment.
