Magnetic interaction energy

Table 2. Magnetic interaction energies /

An equation which includes the effect of adding a magnetic term to the enthalpy of an ordered system has already been given in Section 7.3.2.3 of Chapter 7, but no details were given of how to determine the value of the magnetic interaction energy 4 5- binary alloy this involves the introduction of three magnetic... 

The magnetic interaction energy increases if the interaction works between multiparticles. The multi-interaction becomes important in a concentrated dispersion (3). 

Equation (8-16) is obviously similar to the corresponding equation (8-3) for interacting electric dipoles. The magnitude of the magnetic interaction energy relative to thermal energy is Wffijnin/k]jT. ... 

It is seen that the Breit-Pauli operator has the structure of (2) for each atomic center, but depends explicitly on the distances of the unpaired electron from the atomic centers, defined in (6). While the magnetic interaction energy is and thus of shorter range than the electrostatic interaction, it can nevertheless result in a non-negligible dependence of the SO operator on the nuclear coordinates. This effect is neglected when the empirical SO operators (2) or (3) are employed. 

We may now try to obtain non-relativistic expressions for charge and current densities based on the electric and magnetic interaction energies as we did for the relativistic case. The non-relativistic charge density is straightforwardly given by... 

As in atoms, relativistic terms due to the interaction between the spin and orbital angular momenta of nuclei and electrons of the molecule must be added to the electronic Hamiltonian. There is also a magnetic interaction energy created by the orbital motion of the electrons and the rotational motion of the electrically charged nuclei. The relativistic effects consist mainly of three parts ... 

A simple estimate shows that magnetic order is not the result of a real magnetic field. The order of magnitude of the magnetic interaction energy for one spin, PBHy, can be compared with the thermal energy at the Curie transition, lc7 ... 

Calculate the magnetic interaction energies of an electron in a magnetic field of 8600 G. What is the resulting resonance frequency of absorption between the two spin states ... 

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