Electric dipoles, interaction between

The electric dipole interaction between the atom and the radiation is generally the dominant contribution, represented by a perturbation... 

In the case of an electric dipole interaction between the light field and the particle, the interaction operator V has the form... 

Two or more chromophores located nearby in space can constitute a chiral system. An electric dipole-electric dipole interaction between the chromophores shifts and splits the energy levels of their excited states with respect to the interaction-free states. In the case of two identical chromophores, e.g. in a molecule with at least, or even approximately, the point symmetry group C2, the degeneracy is removed (Figure 14). 

The solutions can be labelled by their values of F and m.p. We say that F and m.p are good quantum. num.bers. With tiiis labelling, it is easier to keep track of the solutions and we can use the good quantum numbers to express selection rules for molecular interactions and transitions. In field-free space only states having the same values of F and m.p can interact, and an electric dipole transition between states with F = F and F" will take place if and only if... 

The perturbation theory is the convenient starting point for the determination of the polarizability from the Schrodinger equation, restricted to its electronic part and the electric dipole interaction regime. The Stark Hamiltonian —p. describes the dipolar interaction between the electric field and the molecule represented by its... 

We assume that the absorbing gas is of a uniform composition and in thermal equilibrium. The absorption coefficient, which is defined by Lambert s law, Eq. 3.1, is expressed in terms of the probabilities of transitions between the stationary states of the supermolecular system, in response to the incident radiation. Assuming the interaction of radiation and matter may be approximated by electric dipole interaction, i.e., assuming the wavelengths of the radiation are large compared with the dimensions of molecular complexes, the transition probability between the initial and... 

PROBLEM 11.21.2. Derive Eq. (3.22.1) for electric dipoles interacting with electric dipoles from Eqs. (2.7.63) and (2.7.67). This dipole-dipole interaction energy is equally valid for the interactions between magnetic dipoles. 

This is equivalent to saying that the order formed in the nematic phase is not governed by electric dipole interactions but rather by the molecular shape and the van der Waals forces between molecules. Note that, although entropy is also related to the order of a system, the symbol S used here does not refer to entropy. 

If the electric field is caused by an ion, then E = qi/R y where q is the ionic change, i is the unit vector along the ion-molecule direction, and R the ion-molecule distance, which is the E =-l/2aq /R for this ion-induced dipole interaction. The correspondingformulafor dli-pole-induced dipole interaction between two dipolar molecules is... 

Previously, the dipole-dipole interaction between the two qubits through magnetic dipoles (nuclear spins in an external magnetic field) was seen through NMR logic. Qubits can also be seen to interact through their electric dipoles (single-electron quantum dots). Mathematically the two cases are identical [109]. While the subjects of this subsection are not molecules as such, the relatively small size of quantum dots justifies their brief discussion here. 

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