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A dipole graph containing n edges is called the size-n dipole graph, and is denoted by D n. The size-n dipole graph is dual to the cycle graph C n. The honeycomb as an abstract graph is the maximal abelian covering graph of the dipole graph D 3, while the diamond crystal as an abstract graph is the maximal abelian covering graph of D 4.
The size of the induced dipole moment is equal to the product of the strength of the external field and the dipole polarizability of ρ. Dipole moment values can be obtained from measurement of the dielectric constant. Some typical gas phase values given with the unit debye are: [7] carbon dioxide: 0; carbon monoxide: 0.112 D; ozone: 0.53 D
The electric dipole moment is a measure of the separation of positive and negative electrical charges within a system: that is, a measure of the system's overall polarity. The SI unit for electric dipole moment is the coulomb-metre (C⋅m). The debye (D) is another unit of measurement used in atomic physics and chemistry.
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When the transition involves more than one charged particle, the transition dipole moment is defined in an analogous way to an electric dipole moment: The sum of the positions, weighted by charge. If the i th particle has charge q i and position operator r i , then the transition dipole moment is: ( t.d.m. a → b ) = ψ b | ( q 1 r 1 + q 2 r 2 ...
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Magnetic dipole–dipole interaction, also called dipolar coupling, refers to the direct interaction between two magnetic dipoles. Roughly speaking, the magnetic field of a dipole goes as the inverse cube of the distance, and the force of its magnetic field on another dipole goes as the first derivative of the magnetic field. It follows that ...
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