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Synthesis of Nine-atom Deltahedral Zintl Ions of Germanium and their Functionalization with Organic Groups
Published on: February 11, 2012
Density functional study of 8- and 11-vertex polyhedral borane structures: comparison with bare germanium clusters
R B King1, I Silaghi-Dumitrescu, A Lupan
1Department of Chemistry, University of Georgia, Athens, 30602, USA. rbking@sunchem.chem.uga.edu
This study compares polyhedral boranes and germanium clusters using Density Functional Theory (DFT). Boranes exhibit larger energy differences between structures, with lowest energy forms aligning with Wade-Mingos rules, unlike germanium clusters.
Area of Science:
- Computational Chemistry
- Inorganic Chemistry
- Materials Science
Background:
- Polyhedral boranes and isoelectronic germanium clusters are key subjects in inorganic chemistry.
- Understanding their structural preferences and stability is crucial for predicting chemical behavior.
- Wade-Mingos rules provide a framework for predicting the geometry of boron clusters.
Purpose of the Study:
- To computationally investigate the structural properties of polyhedral boranes B(n)H(n)(z) (n=8, 11; z=-2, -4, -6).
- To compare the structural characteristics and energy landscapes of these boranes with their isoelectronic germanium counterparts.
- To validate the predictions of Wade-Mingos rules for various borane charge states.
Main Methods:
- Density Functional Theory (DFT) calculations were performed using the hybrid B3LYP functional.
- The study focused on boranes B(8)H(8)(z) and B(11)H(11)(z) with charges z = -2, -4, and -6.
- Calculations were benchmarked against isoelectronic germanium clusters Ge(n)(z).
Main Results:
- Boranes showed significantly larger energy differences between global minima and higher energy structures compared to germanium clusters.
- For B(8)H(8)(2-) and B(11)H(11)(2-), computed lowest energy structures matched experimentally observed deltahedra predicted by Wade-Mingos rules.
- Electron-rich boranes (z=-4) and highly charged boranes (z=-6) adopted nido and arachno geometries, respectively, consistent with Wade-Mingos predictions.
- Unlike germanium clusters, stable 3-fold symmetric structures were not found for the studied boranes.
Conclusions:
- The structural diversity and energy landscape of polyhedral boranes differ substantially from their germanium analogs.
- Wade-Mingos rules accurately predict the dominant geometries for various borane charge states, including nido and arachno structures.
- The findings provide insights into the stability and fluxionality of borane clusters, with implications for their chemical reactivity and potential applications.
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