Zeeman interaction energy

Ez = the Zeeman-interaction energy of the electron with the external magnetic field ( 1 cm )... 

The value of hyperfine interaction is assumed to be small enough as compared with the Zeeman interaction energy of an unpaired electron with a stationary magnetic field. 

The interaction of a dipole /itj with such field created by a dipole 112 is given by the classical Zeeman interaction energy —/iti The Hamiltonian describing the dipolar interaction can thus be written in the form... 

This corresponds to an EPR-silent sample that gives no detectable ESR spectrum at X-band frequencies because it possesses a zero-field splitting larger than the Zeeman interaction (see Chapter 6), and the energy spacing between the two lowest levels is too large to be spanned by a microwave quantum at X-band. Nevertheless, higher frequencies are able to induce transitions. Since... 

We use these relations to write out the energy matrix initially in zero field (i.e., ignoring the Zeeman interaction) ... 

To find out what the X-band spectrum of such a system will look like, let us now complete the energy matrix with the Zeeman interaction using all the spin-operations written out in Equations 7.48a to 7.48m ... 

Zeeman effect The interaction of energy levels of an atom or molecule with an external magnetic field. The Zeeman interaction changes the energy of the p-orbitals in the atom. 

Thus, the Zeeman interaction occurs only with nuclei that possess a spin greater than zero, and it yields 27+1 energy levels of separation = yB Urr. The Hamiltonian is described by... 

Zeeman effects 393 Zeeman energy 111, 113 Zeeman field 411 Zeeman Hamiltonian 46 Zeeman interaction 59, 79, 248 Zeeman limit 49-50 Zeolite 307, 310... 

The Hamiltonian of a single isolated nanoparticle consists of the magnetic anisotropy (which creates preferential directions of the magnetic moment orientation) and the Zeeman energy (which is the interaction energy between the magnetic moment and an external field). In the ensembles, the nanoparticles are supposed to be well separated by a nonconductive medium [i.e., a ferrofluid in which the particles are coated with a surfactant (surface-active agent)]. The... 

When magnetic fields are present, the intrinsic spin angular momenta of the electrons S (j) and of the nuclei I(k) are affected by the field in a manner that produces additional energy contributions to the total Hamiltonian H. The Zeeman interaction of an external magnetic field (e.g., the earth s magnetic field of 4. Gauss or that of a NMR... 

We now let the molecule interact with an external magnetic field Bo. The interaction energy, as far as the orbital is concerned, is given by the orbital Zeeman operator... 

From the dipolar interaction energy, the dipolar shift can be obtained by evaluating from Eq. (2.16) A d,p between two states differing by A A// = 1 and dividing it by the nuclear Zeeman energy hyiBo (Appendix IV) ... 

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