High-spin Zeeman terms in the spin Hamiltonian

Fe x Ga1−x BO3 single crystals: synthesis and characterization

“…As far as B l B l S lm are components of irreducible tensors of rank l [24], they can be consistently expressed through the superposition model [27], as follows, for details, see [25,26]: In order to numerically estimate the amount of local disorder, we have attributed different normal random siteto-site distributions to the Cartesian coordinates of Fe 3? ligands, and we have calculated the parameter distributions of the spin Hamiltonian (3) by means of the superposition model. Figure 9 shows computer simulations of a chosen EPR line, for different amounts of local disorder estimated from the width, r of the distributions of the ligand coordinates.…”

“…Consequently, the spin Hamiltonian parameters also are distributed, resulting in broadening of certain resonance lines and concomitant decrease in their amplitudes. To estimate the degree of local disorder, we have put forward a simulation code on the basis of the general spin Hamiltonian expressed by means of tesseral spherical tensor operators T [24], b is the Bohr magneton, n is the unit vector of the magnetizing field B, S is the electron spin, and g e is the free electron g-factor.…”

Large-Magnitude High-Spin Nuclear Parameters in a Ti3+Center from X-band EPR Measurements at 10 K

“…(7)) are functions of ᑤ l,m (I) and ᑤ l,m (B) for the primed set, and ᑤ l,m (I) and ᑤ l,m (S) for the unprimed set. The coefficients (SH parameters) in [2], expressed in the notation B l,m lB,lS,lI with one of l B , l S , l I necessarily zero, are components of irreducible tensors of rank l. For 4 2m site point group symmetry (Laue class 4/mmm) the number of terms in [2] is restricted by symmetry considerations (7,8) to those for which l ϭ 2, 4; m ϭ 0, 4. The number of parameters to be refined is then, for…”

Basics of the spin Hamiltonian formalism

“…l n;z l e;z 52B loc l e;z (84) In general, the electrons are not localized at one position in space. Therefore, the dipolar interaction must be averaged over all possible values of h which are assumed to be equally probable (e.g., an electron in a s orbital centered on the nucleus N).…”

“…Therefore, the reader is directed to some key references for more details. [9,10,12,[74][75][76][77][78][79][80][81][82][83][84][85] Spin Hamiltonian for Two Interacting Electrons…”