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The coordination complex with the least intense UV-Vis peak would be the one with the lowest energy d-d transitions. This is usually associated with a complex with a larger crystal field splitting energy (Δ). Of the options given, Titanium(III) would likely have the least intense UV-Vis peak. Here's why:
Titanium(III): Ti(III) has a d¹ configuration. Its d-d transitions are typically in the visible region, leading to colored solutions. However, the relatively small number of d electrons and the larger Δ associated with Ti(III) complexes could result in weaker UV-Vis absorption.
Vanadium(III): V(III) has a d² configuration, and its d-d transitions are likely to be more intense than those of Ti(III).
Manganese(II): Mn(II) has a d⁵ configuration, leading to high-spin complexes with weak d-d transitions.
Nickel(II): Ni(II) has a d⁸ configuration. It often forms octahedral complexes with strong d-d transitions in the visible region.