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Although the lithium ions have been omitted from Figure 3 for clarity, they are almost certainly tightly associated in solution as well as in the solid. However, wherever the lithium ions are located, they will have no effect on the symmetry of overlap of the nitrogen lone pairs with the rhodium center. In addition, while the coulombic stabilization of the anion by the cations must be critically important, the bonding is probably essentially completely ionic, and so the lithium cations can relocate to accommodate the redistribution of negative charge within the rhodium complex. Thus, they probably have minimal effects on the extent of charge redistribution by orbital overlap of the nitrogens with rhodium.
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