Energy, Zeeman

The first temi describes the electronic Zeeman energy, which is the interaction of the magnetic field with the two electrons of the radical pair with the magnetic field, Bq. The two electron spins are represented by spin... 

When nuclei with spin are placed in a magnetic field, they distribute themselves between two Zeeman energy states. At thermal equilibrium the number (N) of nuclei in the upper (a) and lower (j8) states are related by the Boltzmann equation (1) where AE=E — Ep is the energy difference between the states. In a magnetic field (Hq), E = yhHo and... 

Thus both the (/-factor and the Upvalues affect Tq-S mixing. In general, the two radicals comprising the radical pair will have different gr-values and therefore different Zeeman energies [the first term in equation (12)]. Likewise the upvalues and hyperfine energies [the second term in equation (12)] will differ. The difference between the LPFs for two radicals is then given by equation (13), where gx and are the electronic y-factors... 

Zeeman energies of the ground and the excited states, respectively. The splitting of the 7 = 3/2 state Into two dotted lines In the middle panel indicates the effect of quadrupole splitting discussed earlier... 

When the Zeeman energy is large compared to the crystal field interaction, the electronic wave functions are approximately the 5z) states with energy... 

Even for applied magnetic fields below 1 T, the Zeeman energy may be larger than the anisotropy energy. Above the blocking temperature application of a... 

One of the few advantages of the weak exchange interactions present in most lanthanide systems is that the Zeeman energy associated with typical laboratory... 

Figure 7.2 Schematic representation of coherent oscillations between states 0) and 1) of a qubit. For an electron spin placed in a dc magnetic field, oscillations can be induced via the application of an external radio frequency (rf) pulse resonant with the Zeeman energy. The amplitude 8 of the...

Figure 5. Energy level diagram for a spin 5/2 nucleus showing the effect of the first-order quadrupolar interaction on the Zeeman energy levels. The (m V2 m = -V2) transition (shown in bold) is independent of the quadrupolar interaction to...

A major effect of the introduction of static ZFS is that of reducing the amplitude of the cosic dispersion, because the energy of most electronic spin transitions increases and can be much larger than the Zeeman energy, and larger than so that for those transitions at all magnetic fields... 

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... 

VP-16 phenoxyl radicals [detection, 234, 632-637 reduction reactions in aqueous solution, 234, 638-640 reduction reactions in cell and nuclear homogenates, 234, 641-642] Zeeman energy of spin states, 246, 538, 593 zero-field splitting, 246,550-551. 

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... 

Figure 8.5 (a) Zeeman energy levels of the CaD( H) molecule. The dashed line shows the energy... 

Since we have axial symmetry, we can take the axis to be in the plane of H and the z axis, thus making Hy — 0. To diagonalize the energy matrix for the Zeeman energy, we shall rotate our spin-coordinate system such that the new z axis makes an angle a> with the z axis of the molecule. Spin operators in this new coordinate system are related to those in the molecular system by the equations... 

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