@phdthesis{Kocher2003, author = {Kocher, Nikolaus}, title = {Experimental charge density studies of highly polar bonds}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-7614}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2003}, abstract = {The main aim of this work was the classification of highly polar E-N (E = Al, Si, P) and Li-E' (E' = C, N, O) bonds in terms of ionic (closed-shell) or covalent (shared) interactions. To answer this question the experimentally determined electron density was analyzed using Bader's theory of 'Atoms in Molecules' (AIM). This allows a quantitative evaluation of properties derived from the electron density, such as the Laplacian, the ellipticitiy and the ratio of the highest charge concentration perpendicular to the bond path, to the largest charge depletion along the bonding vector. Most of these properties were monitored along the entire bonding region and not limited to the BCP as in former studies. The analyses are completed by the calculation of the electronic energy densities Hl at the BCPs and the integration of atomic basins also defined within the AIM theory. The electrostatic potential (ESP) was computed from the multipole parameters to reveal preferred reactive sites of the structures under investigation. Apart from that, the multipole formalism was applied to problematic crystal structures in order to open this method for twinned samples or those including disordered groups in the molecule.}, subject = {Elektronendichte}, language = {en} } @phdthesis{Leusser2002, author = {Leußer, Dirk}, title = {S=N versus S+-N-}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-3437}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2002}, abstract = {The main aim of this thesis was to characterise structurally four sulfur-nitrogen compounds in terms of their experimental electron density distribution: Sulfurdiimide S(NtBu)2 (I), sulfurtriimide S(NtBu)3 (II), methyl(diimido)sulfinic acid H(NtBu)2SMe (III) and methylene-bis(triimido)sulfonic acid CH2{S(NtBu)2(HNtBu)}2 (IV). The electron density was determined by multipole refinements on high-resolution X-ray data at low temperatures. The refined densities were analysed by means of Bader's theory of 'Atoms in Molecules' to get information about the bonding types (shared/ closed shell), bond strengths, and the extent of polarisation. The distributions of the static deformation densities, which already showed the most important electronical features as lone-pairs and bonding densities, were calculated for all compounds. The spatial distributions provided a first impression about the bonding properties. The nitrogen lone-pair densities were found to be inclined towards the electropositive sulfur atoms. In II, III and IV the spatial distributions already suggested sp3 hybridisation of the nitrogen atoms. In I gradual differences between the E/Z and Z/Z oriented NtBu groups were visualised. The charge density distribution was analysed along the bond paths, which showed some of the S,N bonds to be considerably bent. In the central part of the thesis detailed topological analyses of the electron density distributions were performed. All BCPs and the related electronical properties as the electron density, the negative Laplacian, the eigenvalues of the Hessian matrix, and several values, which can be deduced from these, were calculated. Due to the low number of comparable published compounds, internal scaling facilitated by III and IV led to system-specific ranking of the S-N and S-C bonds in terms of bond type (shared vs. closed shell), bond order, and bond strength. To quantify bond polarisation a criterion was developed which relates shifts in the BCPs to electron transfer from the electropositive to the electronegative bonding partner. The distributions of the Laplacian were determined for all S-E (E = N, C) bonds because of their fundamental importance for the classification of atomic interactions. Furthermore, the spatial distribution of the negative Laplacian with respect to all important bonds was determined around the central sulfur and nitrogen atoms. The analyses led to detailed information about the S,N interactions. A calculation of the reactive surfaces where the Laplacian equals zero revealed possible reaction pathways of nucleophilic attacks to the central sulfur atoms. All nitrogen atoms in H(NtBu)2SMe (III) as well as in CH2{S(NtBu)2(HNtBu)}2 (IV) are predominantly sp3 hybridised. The S,N bonds should therefore be formulated as S+-N- single bonds, strengthened and shortened by electrostatic reinforcement. In S(NtBu)2 (I) the sp2 hybridisation of the nitrogen atoms was verified. All topological criteria unearthed the inequality of the formally equivalent S=N double bonds. The differences were assigned to the molecular E/Z conformation in the solid state. Interaction between the in-plane lone-pair density of the nitrogen and the sulfur atom located at the same side causes the non-bonding charge concentration at the sulfur atom to be dislocated into the second S-N bond. The existence of a delocalised 3-centres-2-electrons system within the planar SN2 core was assumed to be formed by non-hybridised p-orbitals. An effective delocalisation was found to be possibly disturbed by a weak intermolecular S...S interaction. The interpretation of the S,N interaction in S(NtBu)3 (II) was not straightforward, since the electron density distribution showed both, indicators for multiple bonding as well as for sp3 hybridisation of the nitrogen atoms, which verifies the formulation of a S+-N- bonding mode. The bonding situation in S(NtBu)3 was identified as an intermediate state between that of a delocalised 4-centres-6-electrons system formed by non-hybridised p-orbitals within the planar SN3 unit and that of a S+-N- system.}, subject = {Schwefelverbindungen}, language = {en} }