Zeeman splitting factor

Zeeman splitting factors associated with H c and H 1 c in a spin-Hamiltonian for which S=i... 

The electronic structure of Rydberg states can be probed by a large variety of atomic properties such as term values, lifetimes, oscillator strengths, Zeeman splitting factors. Stark and diamagnetic shifts, as well as... 

Ml = 3/2 than for mj = 1/2. Moreover, the ground state experiences pure Zeeman splitting A M.g 4s given by (4.48) (recall, the nuclear g factor of the 7g = 1/2 ground state is different from that of the L = 3/2 excited state). 

If the electric quadrupole splitting of the 7 = 3/2 nuclear state of Fe is larger than the magnetic perturbation, as shown in Fig. 4.13, the nij = l/2) and 3/2) states can be treated as independent doublets and their Zeeman splitting can be described independently by effective nuclear g factors and two effective spins 7 = 1/2, one for each doublet [67]. The approach corresponds exactly to the spin-Hamiltonian concept for electronic spins (see Sect. 4.7.1). The nuclear spin Hamiltonian for each of the two Kramers doublets of the Fe nucleus is ... 

Fig. 4.15 Effective nuclear g values for the excited I = 3/2 state of Fe in units of the corresponding nuclear g factor (g e = —0.10317). The left panel shows the Zeeman splitting of the 7 = 3/2 manifold with large quadrupole slitting under the influence of a weak field, and the two panels on the right show the 77-dependence of the corresponding effective nuclear g values for the I m/ = 1/2 and m/ = 3/2) doublets with the field oriented along the x, y, and z principal axes of the EFG...

The anisotropic/factor may also manifest itself in the relative line intensities of Zeeman split hyperfine spectra in a poly crystalline absorber. Expanding f(0) in a power series... 

For / = 0 there is obviously no first-order Zeeman splitting however, application of a magnetic field can result in second-order splitting. As such, it is necessary to evaluate the corresponding factor, which isg(j = 2 + 7,(2 + S). 

A relationship of the form TiT(hv)2 = C where C is a constant for a specific host and hv is the Zeeman splitting has been established to give estimates of to about a factor of two. Typical values at 10 mK lie in the range 1s-1000s. 

The second diagnostic study made use of the Zeeman effect, observed when a small magnetic field was applied parallel to the ion beam direction. For almost every line in the spectrum a Zeeman splitting could be observed figure 10.73 illustrates a particularly simple example, where the six-line Zeeman pattern shows conclusively that the resonance must arise from a J = 3/2 3/2 transition. Effective g factors... 

Our calculations show that the Zeeman splitting of the F7 (F9) holes in B//c determined by g/ is smaller (larger) than the Zeeman splitting of the electrons determined by ge. For the arbitrary angle 0 between the c axis and the direction of the magnetic field the absolute value of the hole anisotropic g factor is given by ... 

Finally, the factor Rs takes into account that the degeneracy of the energy levels is lifted by the Zeeman splitting and that two sets of Landau levels evolve. The energy difference between the split levels is... 

---