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The transition dipole moment is useful for determining if transitions are allowed under the electric dipole interaction. For example, the transition from a bonding π {\displaystyle \pi } orbital to an antibonding π ∗ {\displaystyle \pi ^{*}} orbital is allowed because the integral defining the transition dipole moment is nonzero.
An electric dipole transition is the dominant effect of an interaction of an electron in an atom with the electromagnetic field. Following reference, [ 1 ] consider an electron in an atom with quantum Hamiltonian H 0 {\displaystyle H_{0}} , interacting with a plane electromagnetic wave
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.
In general, electric (charge) radiation or magnetic (current, magnetic moment) radiation can be classified into multipoles E λ (electric) or M λ (magnetic) of order 2 λ, e.g., E1 for electric dipole, E2 for quadrupole, or E3 for octupole. In transitions where the change in angular momentum between the initial and final states makes several ...
By analogy with a classical dipole, it is clear that an atom with a large dipole moment will be more susceptible to perturbation by an electric field. The dot product includes a factor of cos θ {\displaystyle \cos \theta } , where θ {\displaystyle \theta } is the angle between the polarization of the light and the transition dipole moment.
The electron's electric dipole moment (EDM) must be collinear with the direction of the electron's magnetic moment (spin). [1] Within the Standard Model, such a dipole is predicted to be non-zero but very small, at most 10 −38 e⋅cm, [2] where e stands for the elementary charge.
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
Transition dipole moment, the electrical dipole moment in quantum mechanics; Molecular dipole moment, the electric dipole moment of a molecule. Bond dipole moment, the measure of polarity of a chemical bond; Electron electric dipole moment, the measure of the charge distribution within an electron; Magnetic dipole moment, the measure of the ...