Journal
INORGANIC CHEMISTRY
Volume 51, Issue 5, Pages 2785-2792Publisher
AMER CHEMICAL SOC
DOI: 10.1021/ic2017402
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Funding
- Ministry of Education, Science, Sports, and Culture [22000009]
- Japan Society for the Promotion of Science
- Grants-in-Aid for Scientific Research [22000009] Funding Source: KAKEN
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The theoretical evaluation of the oscillator strength of a symmetry-forbidden d-d transition is not easy even nowadays. A new approximate method is proposed here and applied to octahedral complexes [Co(NH3)(6)](3+) and [Rh(NH3)(6)](3+) as an example. Our method incorporates the effects of geometry distortion induced by molecular vibration and the thermal distribution of such distorted geometries but does not need the Herzberg-Teller approximation. The calculated oscillator strengths of [Co(NH3)(6)](3+) agree well with the experimental values in both (1)A(1g) -> T-1(1g) and (1)A(1g) -> T-1(2g) transitions. In the Rh analogue, though the calculated oscillator strengths are somewhat smaller than the experimental values, computational results reproduce well the experimental trends that the oscillator strengths of [Rh(NH3)(6)](3+) are much larger than those of the Co analogue and the oscillator strength of the (1)A(1g)-> T-1(1g) transition is larger than that of the (1)A(1g) -> T-1(2g) transition. It is clearly shown that the oscillator strength is not negligibly small even at 0 K because the distorted geometry (or the uncertainty in geometry) by zero-point vibration contributes to the oscillator strength at 0 K. These results are discussed in terms of frequency of molecular vibration, extent of distortion induced by molecular vibration, and charge-transfer character involved in the d-d transition. The computational results clearly show that our method is useful in evaluating and discussing the oscillator strength of symmetry-forbidden d-d absorption of transition metal complex.
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