| 11. | See near and far field and multipole expansion.
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| 12. | These considerations generate different sets of transitions rules depending on the multipole order and type.
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| 13. | The multipole expansion is expressed as a sum of terms with progressively finer angular features.
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| 14. | As with any multipole moment, if a lower-order moment ( coordinate origin.
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| 15. | The multipole expansion will no longer terminate, but the higher terms will be small.
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| 16. | Multipoles could account for attraction between molecules having permanent multipole moments that participate in electrostatic interaction.
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| 17. | The multipole expansion circumvents this difficulty by expanding not or, but or into spherical harmonics.
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| 18. | For simplicity however, these effects will be deferred to the discussion of generalized multipole radiation.
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| 19. | Mathematically, the magnetic field of an object is often described in terms of a multipole expansion.
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| 20. | One such method is the Atomic Multipole Optimised Energetics for Biomolecular Applications ( AMOEBA ) force field.
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