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Critical point properties of electron density distributions for oxide molecules containing first and second row cations
Authors:F C Hill  G V Gibbs  M B Boisen Jr
Institution:(1) Departments of Geological Sciences, Materials Science and Engineering and Mathematics Virginia Tech, Blacksburg, VA 24061, USA, US
Abstract: Minimum energy geometries and electron density distributions, ϱ(r), for ∼40 polyatomic oxide molecules containing first and second row M-cations have been calculated at the Hartree-Fock level with a 6-311++G** basis set. The nature of the bonded interactions in these molecules is examined in terms of the relative electronegativities, χ M , of the M-cations and the properties of the electron density distribution, ϱ(r c ), evaluated at the bond critical points, r c , along each MO bond. As ϱ(r c ) and the Laplacian of ϱ(r c ) increase, χ M increases indicating an increase in the covalent character of the bonded interactions between M and O. The ratios of the curvatures of ϱ(r c ) indicate that the NO bond is predominantly covalent, that the CO and SO bonds are of intermediate type and that the remaining MO bonds are indicated to be predominantly ionic in character. A comparison of the critical point properties of ϱ(r c ) and χ M indicates that the minimum energy MO bond length is an important determinate of the properties of ϱ(r c ) and the character of the MO bonds. On the other hand, values of the local energy density, H(r c ), indicate that the LiO, BeO, NaO, MgO and AlO bonds are predominantly ionic and that the BO, CO, NO, SiO, PO and SO bonds are predominantly covalent in character. The χ M -values provided by the properties of ϱ(r c ) indicate that the covalent component of a bond increases with decreasing bond length, coordination number and increasing bond strength. Each MO bond seems to represent a unique entity and to possess a distinct set of ϱ(r c ) properties, the distinction being greater for the more electronegative cations. The bonded radius of the oxide ion, r b (O), and the χ M -values determined from ϱ(r c ) correlate with values determined from promolecule electron density distributions. In addition, r b (O) and χ M -values determined from experimental electron density distributions for crystals correlate with values determined from procrystal electron density distributions. The number of critical points and bond paths are modeled rather faithfully by procrystal and promolecule electron density distributions, despite the neglect of the binding forces in their constructions. Received: October 15, 1996/Revised, accepted: February 10, 1997
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