Magnetic angular momentum with lowered symmetry

12 Magnetic angular momentum with lowered symmetry 

In the case of the 2 7 ) term the orbital kets appropriate for F D ) can be redefined as follows 

The perturbation Hamiltonian, in the form that properly accounts for the T— P isomorphism, is 

The resulting zero-field eigenvalues are listed in Table 8.40 and plotted in Fig. 

In the case of the 5T%g) term the orbital kets are the same as for the 2T2(g) term. A higher spin multiplicity enlarges the dimension of the interaction matrix to N = 3-5=15. The secular equation can be split into a set of secular equations of lower dimension (Table 8.40). The zero-field energy levels are shown in Fig. 8.23. 

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Both naturally occurring isotopes of antimony possess a spin angular momentum Sb (/ = f,57-2%) and Sb 1 = 1, 43-8%). With magnetic moments of 3-342 and 2-533 sensitivity poses no problem. However, the magnitudes of their quadrupole moments ( —0-53 and — 0-68 barn) impair the observation of species in which the coordination symmetry around the metal atom is lower than cubic. 

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