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Differential Many‐Body Cooperativity in Electronic Spectra of Oligonuclear Transition‐Metal Complexes
Authors:Jiří Chmela  Dr. Michael E. Harding  Dr. Dimitri Matioszek  Dr. Christopher E. Anson  Prof. Dr. Frank Breher  Prof. Dr. Wim Klopper
Affiliation:1. Institute of Physical Chemistry, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany;2. Institute of Nanotechnology, Karlsruhe Institute of Technology (KIT), Eggenstein-Leopoldshafen, Germany;3. Institute of Inorganic Chemistry, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
Abstract:In computational chemistry, non‐additive and cooperative effects can be defined in terms of a (differential) many‐body expansion of the energy or any other physical property of the molecular system of interest. One‐body terms describe energies or properties of the subsystems, two‐body terms describe non‐additive but pairwise contributions and three‐body as well as higher‐order terms can be interpreted as a measure for cooperativity. In the present article, this concept is applied to the analysis of ultraviolet/visible (UV/Vis) spectra of homotrinuclear transition‐metal complexes by means of a many‐body expansion of the change in the spectrum induced by replacing each of the three transition‐metal ions by another transition‐metal ion to yield a different homotrinuclear transition‐metal complex. Computed spectra for the triangulo‐complexes [M3{Si(mtMe)3}2] (M=Pd/Pt, mtMe=methimazole) and tritopic triphenylene‐based N‐heterocyclic carbene Rh/Ir complexes illustrate the concept, showing large and small differential three‐body cooperativity, respectively.
Keywords:carbene complexes  cooperativity  electronic spectra  many-body expansions  non-additivity
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