Density-Functional Theory Investigation of the Geometric, Energetic, and Optical Properties of the Cobalt(II)tris(2,2'-bipyridine) Complex in the High-Spin and the Jahn-Teller Active Low-Spin States
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State-of-the-art generalized gradient approximation (GGA) (PBE, OPBE, RPBE,OLYP, and HCTH), meta-GGA (VSXC and TPSS), and hybrid (B3LYP, B3LYP*, O3LYP, andPBE0) functionals are compared for the determination of the structure and the energetics of theD3 [Co(bpy)3]2+ complex in the 4A2 and 4E trigonal components of the high-spin 4T1g( )state and in the low-spin 2E state of octahedral 2Eg( ) parentage. Their comparison extendsalso to the investigation of the Jahn-Teller instability of the 2E state through the characterizationof the extrema of C2 symmetry of this spin state's potential energy surface. The results obtainedfor [Co(bpy)3]2+ in either spin manifold are very consistent among the functionals used and arein good agreement with available experimental data. The functionals, however, perform verydifferently with respect to the spin-state energetics because the calculated values of the high-spin/low-spin energy difference vary between -3212 and 3919 cm-1. Semilocal functionals tend to give too large values and thus fail to correctly predict the high-spin state asthe ground state of the isolated complex, while hybrid functionals tend to overestimate the stabilityof the high-spin state with respect to the low-spin state. Reliable results are, however, obtainedwith the OLYP, HCTH, B3LYP*, and O3LYP functionals which perform best for the descriptionof the isolated complex. The optical properties of [Co(bpy)3]2+ in the two spin states are alsoanalyzed on the basis of electronic excitation calculations performed within time-dependentdensity functional response theory. The calculated absorption and circular dichroism spectraagree well with experimental results.

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