Journal of the American Chemical Society
Article
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(50) We assume a spin Hamiltonian of the coupled spin system
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radical, J0 is the isotropic exchange coupling constant, and gR and gT
are the isotropic g-values of the radical and of the triplet species,
respectively. Anisotropic interactions are not taken into account
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(53) This depends on the magnitude of J0 in comparison with the
other magnetic interactions present in the spin system, the hyperfine
interaction of the nitroxide (aN), and the difference in Zeeman
interactions between the triplet fullerene and the nitroxide (μBB0gT −
μBB0gR). If |J0| ≪ (μBB0gT − μBB0gR) and |J0| ≪ aN, the C60 triplet and
the nitroxide doublet are weakly coupled, and the transient spectrum
shows the sum of the two corresponding triplet and radical spectra. On
the other hand, for a strong coupling (|J0| ≫ (μBB0gT − μBB0gR) and |
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within the S = 3/2 excited states, that is, Q transitions (Q−3/2 ↔ Q−1/2
,
Q−1/2 ↔ Q+1/2, Q+1/2 ↔ Q+3/2) and D (D−1/2 ↔ D+1/2) transitions.
(54) Theoretical details on the simulation program are described in
the Supporting Information (caption to Figure S20) and in ref 49a.
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1
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