Electronic magnetic dipole

This is just the interaction between two electron magnetic dipoles a distance tjk apart. 

In addition, Dirac s theory provides a direct explanation for the fact that the electron magnetic dipole moment is about twice the value expected classically on the basis of a spherical charged particle rotating around one... 

Table 11. CCSD results for the total Verdet constant at w = 0.11391 a.u. in the case of hydrogen fluoride. Results labeled as Unrelaxed refer to the use of the unrelaxed (one-electron) magnetic dipole moment operator together with the usual magnetic-field independent basis sets. Results labeled Relaxed include additional contributions due to orbital relaxation in the presence of the magnetic field. Results labeled LAO are those obtained when using GIAOs/LAOs ...

The Zeeman levels for a nuclear magnetic dipole I and an electron magnetic dipole 5 in a magnetic field are shown in Fig. 2, where the levels are labelled according to their value of the spin quantum numbers... 

These arise from the interaction of the nuclear and electron magnetic dipoles, and may be treated by starting from the classical Hamiltonian for two interacting dipoles, which can be written as—... 

Prom the expansion in Eq. (5.30) we can define the components of the magnetizability and nuclear magnetic shielding tensor of nucleus K as first derivatives of the perturbed electronic magnetic dipole moment with respect to a component of the magnetic induction or the nuclear magnetic dipole moment of nucleus if ... 

Inserting now the expansion of the electronic magnetic dipole moment from Eq. (5.30)... 

In the previous section we have defined the cartesian components of the magnetizability tensor as second derivatives of the energy E B) in the presence of a magnetic induction B, Eq. (5.39), or alternatively as first derivatives of the magnetic-field-dependent electronic magnetic dipole moment ma B), Eq. (5.32). Both definitions can be used to derive quantum mechanical expressions for the magnetizability. 

This is the basic unit or measure for electronic magnetic dipole moments in the same sense that h is the measuring unit for angular momentum. 

Electronic magnetic dipole moments in molecules and atoms are measured in terms of Bohr magnetons in the same way that angular momentum is measured in terms of h. 

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