Abstract
By an accurate analysis it is demonstrated how Fukuda's model, which is based on the coexistence of two kinds of minima on the $^{3}T_{1\mathrm{u}}$ and $^{3}A_{1\mathrm{u}}$ adiabatic potential-energy surfaces, is not tenable in the framework of Russell-Saunders coupling. A generalized calculation to the intermediate-coupling case shows that two kinds of minima can coexist on the $^{3}{T}_{1u}^{*}$ adiabatic potential-energy surfaces if the spin-orbit interaction is of a suitable value as compared with the Jahn-Teller interaction and the exchange energy.
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