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7.5 In octahedral symmetry the fictitious S operator follows the T 1 irrep. Its third
symmetrized power transforms as the components of the f -harmonics and also
subduces a T 1 irrep, as indicated in Table 7.1 . Rewrite the p - and f -parts of
the
|
T i |
operators for the Γ 8 quartet state as a spin Hamiltonian of the fictitious
spin.
References
1. Altmann, S.L.: Rotations, Quaternions, and Double Groups. Clarendon Press, Oxford (1986)
2. Butler, P.H.: Point Group Symmetry Applications, Methods and Tables. Plenum Press, New
York (1981)
3. Edmonds, A.R.: Angular Momentum in Quantum Mechanics, 4th edn. Princeton University
Press, Princeton (1996)
4. Gilmore, R.: Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers
and Chemists. Cambridge University Press, Cambridge (2008)
5. Ceulemans, A., Compernolle, S., Lijnen, E.: Hiatus in the spherical shell model of fullerenes.
Phys. Chem. Chem. Phys. 6 , 238 (2004)
6. Troullier, N., Martins, J.L.: Structural and electronic properties of C 60 . Phys. Rev. B 46 , 1754
(1992)
7. Condon, E.U., Odabasi, H.: Atomic Structure. Cambridge University Press, Cambridge
(1980)
8. Griffith, J.S.: The Theory of Transition-Metal Ions. Cambridge University Press, Cambridge
(1961)
9. Opechowski, W.: Sur les groupes cristallographiques “doubles”. Physica 7 , 552 (1940)
10. Haake, F.: Quantum Signatures of Chaos, 3rd edn. Springer Series in Synergetics. Springer,
Berlin (2010)
11. Wigner, E.P.: Group Theory. Academic Press, New York (1959)
12. Abragam, A., Bleaney, B.: Electron Paramagnetic Resonance of Transition Ions p. 656.
Clarendon Press, Oxford (1970)
13. Ceulemans, A., Mys, G., Walçerz, S.: Symmetries of time-odd electron-phonon coupling in
the cubic Γ 8 system. New J. Chem. 17 , 131 (1993)
14. Satten, R.A.: Vibronic splitting and Zeeman effect in octahedral molecules: odd-electron sys-
tems. Phys. Rev. A 3 , 1246 (1971)
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