Orbital-magnetic field interaction

The terms in equation (4) are generally referred to as the orbital-dipolar interaction (o) between the orbital magnetic fields of the electrons and the nuclear spin dipole, the spin-dipolar interaction (D) between the spin magnetic moments of the electrons and nucleus and the Fermi contact interaction (c) between the electron and nuclear spins, respectively. Discussion of the mathematical forms of each of these three terms appears elsewhere. (3-9)... 

For many applications the full molecular Hamiltonian is not necessary it is sufficient to include only relevant energy terms into the model Hamiltonian. One of the model Hamiltonians is the spin Hamiltonian which includes only the angular momentum operators in their mutual interaction (orbit-orbit, spin-orbit, spin-spin interactions) as well as their interaction with a magnetic field (the Zeeman terms orbit-magnetic field and spin-magnetic field). 

Electrophosphorescence results from triplet emission in excitonic states activated by strong SOC. The strong SOC requires heavy-metal complex structures to increase the internal magnetic interaction between electron spins and orbital magnetic field. It is noted that the use of heavy-metal complex... 

One of the two or both nuclei of a diatomic molecule may interact with rotation via their electric quadrupole moments, or their magnetic dipole moments may interact with the rotational magnetic field. The two nuclei may be coupled by the direct (tensorial) or indirect (electron-coupled scalar) magnetic dipole interaction which also influences rotation. Furthermore, in a state other than E the nuclei cause magnetic perturbations when their dipole moments interact with those of the unpaired - electron spins or with the orbital magnetic field. The energetic effects of these so-called hyperfine interactions can be quantified with the aid of interaction constants which in favorable cases can be determined from high-resolution spectra. 

Hmag from external magnetic fields interacting with electronic orbital motion,... 

The equivalent of the spin-other-orbit operator in eq. (8.30) splits into two contributions, one involving the interaction of the electron spin with the magnetic field generated by the movement of the nuclei, and one describing the interaction of the nuclear spin with the magnetic field generated by the movement of the electrons. Only the latter survives in the Born-Oppenheimer approximation, and is normally called the Paramagnetic Spin-Orbit (PSO) operator. The operator is the one-electron part of... 

Here and H describe radicals A and B of the radical pair and He the interaction of their electrons. The other terms in equation (15) are H g, the spin orbit coupling term, H g and Hgj, representing the interaction of the externally applied magnetic field with the electron spin and nuclear spin, respectively Hgg is the electron spin-spin interaction and Hgi the electron-nuclear hyperfine interaction. 

The spin-orbit Hamiltonian (HB0) requires some explanation. The energy of interaction between the magnetic moment M and the magnetic field caused by the orbital motion of an electron can be derived as(134)... 

Hamiltonian with the energy from appropriate terms in the true Hamiltonian. The latter terms include the interaction between the external field and the magnetic moment produced by the orbiting electron, the interaction between the external field and the magnetic moment due to electron spin, and the interaction between the orbital magnetic moment and the spin magnetic moment. These interactions may be expressed as a perturbation to the total Hamiltonian for the system where... 

---