Does there exist such thing, if it does, which charge distribution could generate it? If it doesn't exist, can it be proven?

  • $\begingroup$ Perhaps the molecule made from an electron-positron pair (positronium) as it's strictly two charges of opposite charge that are bound together (though very short lived). $\endgroup$ – Triatticus Jan 11 at 15:32
  • $\begingroup$ In the center of mass coordinate,what about its octupole moment? $\endgroup$ – Mind Jan 12 at 2:24
  • $\begingroup$ Not sure, there might be more people who can actually answer this question though. $\endgroup$ – Triatticus Jan 12 at 3:01
  • $\begingroup$ well,thanks for your answer! $\endgroup$ – Mind Jan 12 at 4:10
  • $\begingroup$ @Mind not a very helpful answer, I admit, but in 1 dimension, charge density = const * x, going from x = -infinity to x = +infinity has an infinite dipole moment and no higher orthogonal moments $\endgroup$ – Roger Wood Jan 24 at 6:43

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