Elizabeth A. Zhurova

Optimization and evaluation of data quality for charge density studies

Criteria for the evaluation of hardware and software for the collection of charge density diffraction data are presented with examples. Evaluation of charge density studies using area detectors (based on 61 data sets) indicates that, although it is possible to obtain excellent data using such detectors, there are significant shortcomings which need to be addressed.

Importance of the consideration of anharmonic motion in charge‐density studies: a comparison of variable‐temperature studies on two explosives, RDX and HMX

Extremely accurate X-ray data were obtained for the explosive RDX (hexahydro-1,3,5-trinitro-1,3,5-triazine) at three different temperatures (20, 120 and 298 K). Collected reflections were integrated using the latest version of the program VIIPP which uses separate Kα(1)/Kα(2) contributions to the profile fitting during integration. For each temperature both anharmonic and harmonic descriptions of the atomic thermal motion were utilized in the model refinements along with the multipole expansion of the electron density. H atoms were refined anisotropically and agree well with a previous neutron study. Topological analysis [Bader (1990). Atoms in Molecules: A Quantum Theory. The International Series of Monographs of Chemistry, edited by J. Halpern & M. L. H. Green. Oxford: Clarendon Press] of the attained electron density followed. For 1,3,5,7-tetranitro-1,3,5,7-tetraazacyclooctane (HMX), old data collected at 20 and 120 K were re-integrated with the new version of VIIPP and refined in the same manner as for RDX. In both cases theoretical structure factors were also calculated based on the 20 K structures, and employed in comparison multipole refinements for the atoms at rest. Limiting the refinement to a harmonic model of the atomic displacements may result in a biased and erroneous electron density, especially when atomic vibrations are significant (as in RDX) and at temperatures higher than obtained by using liquid helium. Given the similarity of the two compounds the effects of anharmonic motion are strikingly more severe in the case of RDX. Our study reinforces the conclusion of Meindl et al. [Acta Cryst. (2010), A66, 362-371] that in certain cases it is necessary to include anharmonic term(s) of the probability density function (or temperature factor) in order to obtain a meaningful electron density suitable for topological analysis, even for compact (high-density) light-atom structures. For RDX it was observed that the oxygen lone-pair concentrations of electrons are located close to perpendicular to the N-O bond vectors, which is typical for explosive materials. Conjugation of the electron density in the -N-NO(2) fragment has been established based on the topological bond orders. Nine moderately strong hydrogen bonds and nine N-N, O-N and O-O bonding interactions were found and described. The RDX molecular electronic energy per mole is 4.02-4.04 a.u., very close to the reported value for HMX.

Electron density and atomic displacements in KTaO3

The atomic interactions and anharmonicity of atomic displacements in the virtual ferroelectric KTaO3, potassium tantalate, have been studied using accurate single-crystal X-ray diffraction at room temperature. The multipole analysis of electron density and Gram-Charlier series description of anharmonic atomic displacements allowed us to perform a quantitative analysis of the chemical bonding and atomic motion in this crystal. Closed-shell interactions between Ta-O and K-O pairs of atoms were found, while no interaction was observed for the Ta-K and O-O atomic pairs. The character of the anharmonic atomic displacements is discussed and compared with those in SrTiO3.

Characterization of bonding in cesium uranyl chloride: topological analysis of the experimental charge density.

The topological analysis of the charge density distribution in Cs(2)UO(2)Cl(4) obtained from an accurate X-ray diffraction experiment at 20K is reported. Details of the techniques applied during data collection and data refinement are discussed. A split Hansen-Coppens multipole model for uranium and cesium atoms has been used to describe the charge density features associated with valence electrons and core deformations. The analysis of the deformation density distribution, QTAIM space partitioning, the Laplacian of the electron density, and electron localization function are discussed. Local QTAIM descriptors for bonds to uranium and cesium are reported, as well as integrated properties of each individual atom. U(5f), U(6s), U(6p), U(6d), and U(7s) shells were required to describe the aspherical charge density of the uranium pseudoatom. Observed deformation of the cesium atom core was described by applying the multipole model to Cs(5s) and Cs(5p) shells.

Molecular and crystal properties of ethyl 4,6‐dimethyl‐2‐thioxo‐1,2,3,4‐tetrahydropyrimidine‐5‐carboxylate from experimental and theoretical electron densities

The electron density and electronic energy densities in ethyl 4,6-dimethyl-2-thioxo-1,2,3,4-tetrahydropyrimidine-5-carboxylate have been studied from accurate X-ray diffraction measurements at 110 K and theoretical single-molecule and periodic crystal calculations. The Quantum Theory of Atoms in Molecules and Crystals (QTAMC) was applied to analyze the electron-density and electronic energy-density features to estimate their reproducibility in molecules and crystals. It was found that the local electron-density values at the bond critical points derived by different methods are in reasonable agreement, while the Laplacian of the electron density computed from wavefunctions, and electron densities derived from experimental or theoretical structure factors in terms of the Hansen-Coppens multipole model differ significantly. This disagreement results from insufficient flexibility of the multipole model to describe the longitudinal electron-density curvature in the case of shared atomic interactions. This deficiency runs through all the existing QTAMC bonding descriptors which contain the Laplacian term. The integrated atomic characteristics, however, suffer noticeably less from the aforementioned shortcoming. We conclude that the electron-density and electronic energy QTAMC characteristics derived from wavefunctions, especially the integrated quantities, are nowadays the most suitable candidates for analysis of the transferability of atoms and atomic groups in similar compounds.

Chemical Bonding in Cesium Uranyl Chloride Based on the Experimental Electron Density Distribution

Details of the electron density distribution in Cs(2)UO(2)Cl(4) have been obtained from an accurate X-ray diffraction experiment at 20 K. The electron density was described with the Hansen-Coppens multipole model. Topological analysis of the electron density confirms that the U-O bond is probably a triple bond, the U-Cl bonds are incipient covalent interactions, and the Cs-Cl and Cs-O interactions are of the closed-shell type. The results obtained serve as a proof of principle that electron density features related to chemical bonding may be obtained from X-ray data for even the heaviest elements.

Variable temperature neutron diffraction and X-ray charge density studies of tetraacetylethane.

Single crystal neutron diffraction data have been collected on a sample of enolized 3,4-diacetyl-2,5-hexanedione (tetraacetylethane, TAE) at five temperatures between 20 and 298 K to characterize the temperature-dependent behavior of the short, strong, intramolecular hydrogen bond. Upon decreasing the temperature from 298 K to 20 K, the O2-H1 distance decreases from 1.171(11) to 1.081(2) A and the O1...H1 distance increases from 1.327(10) to 1.416(6) A. The convergence of the C-O bond lengths from inequivalent distances at low temperature to identical values (1.285(4) A) at 298 K is consistent with a resonance-assisted hydrogen bond. However, a rigid bond analysis indicates that the structure at 298 K is disordered. The disorder vanishes at lower temperatures. Short intermolecular C-H...O contacts may be responsible for the ordering at low temperature. The intramolecular O...O distance (2.432 +/- 0.006 A) does not change with temperature. X-ray data at 20 K were measured to analyze the charge density and to gain additional insight into the nature of the strong hydrogen bond. Quantum mechanical calculations demonstrate that periodic boundary conditions provide significant enhancement over gas phase models in that superior agreement with the experimental structure is achieved when applying periodicity. One-dimensional potential energy calculations followed by quantum treatment of the proton reproduce the location of the proton nearer to the O2 site reasonably well, although they overestimate the O-H distance at low temperatures. The choice of the single-point energy calculation strategy for the proton potential is justified by the fact that the proton is preferably located nearer to O2 rather than being equally distant to O1 and O2 or evenly distributed (disordered) between them.

Energetic materials: variable‐temperature crystal structure of β‐NTO

The crystal structure of the metastable β form of 5-nitro-2,4-dihydro-3H-1,2,4-triazol-3-one (β-NTO, monoclinic, P2 1 /c) has been investigated at five temperatures in the range 100-298 K using single-crystal X-ray diffraction techniques. The second-rank thermal expansion tensor has been determined to describe thermal behavior of the crystal. The most significant thermal expansion is in a plane, which is almost perpendicular to the planes of all the NTO molecules. Perpendicular to the plane of maximal thermal expansion, a modest thermal contraction takes place. Both thermal expansion and contraction of the crystal lattice indicate anharmonicity of the atomic thermal motion. The experimental thermal variation of the unit-cell parameters is in qualitative agreement with that previously obtained from molecular dynamics calculations. Rigid-body analysis of the molecular thermal motion was performed using the libration and translation second-rank tensors. Although the translation part of the thermal motion is not strongly anisotropic, the largest displacements of the NTO molecules are oriented in the plane of maximal thermal expansion of the crystal and have significant anharmonic components. The libration motion is more anisotropic, and the largest libration as well as the largest translation principal axes are directed along the C5-N5 bond in each NTO molecule.

17α-Estradiol·1/2 H2O: Super-Structural Ordering, Electronic Properties, Chemical Bonding, and Biological Activity in Comparison with Other Estrogens

The biological function of steroidal estrogens is related to their electronic properties. An experimental charge density study has been carried out on 17alpha-estradiol and compared to similar studies on more potent estrogens. High accuracy X-ray data were measured with a Rigaku rotating anode diffractometer equipped with an R-Axis Rapid curved image plate detector at 20 K. The total electron density in the 17alpha-estradiol x 1/2 H(2)O crystal was modeled using the Hansen-Coppens multipole model. Topological analysis of the electron density based on Baders QTAIM theory was performed. The crystal structure, chemical bonding, and molecular properties, including the electrostatic potential (ESP), are reported and discussed. Observed disordering of hydroxyl and water hydrogen atom positions are interpreted as a superstructural ordering in a lower symmetry space group. The ESPs for the resulting four conformers are compared with each other and with that of 17beta-estradiol. The relative binding affinities are discussed in terms of the observed potentials.

Chemical Bonding and Structure−Reactivity Correlation in Meldrum’s Acid: A Combined Experimental and Theoretical Electron Density Study

Chemical bonding in Meldrums acid (MA) based on the experimental electron density obtained from high-resolution X-ray diffraction data at 20 K and from solid state theoretical calculations at the experimental molecular geometry have been analyzed by using the Quantum Theory of Atoms in Molecules. The total electron density was modeled with use of the Hansen-Coppens multipole formalism, and features associated with both intra- and intermolecular bond critical points, topological bond orders, atomic charges, and the electrostatic potential have been characterized and used to understand structure-reactivity relationships. The acidic methylene hydrogen atoms carry modest positive charges. A notable feature is the presence of an intramolecular H...H interaction that imparts stability to the boat conformation. A correlation between the topological bond order and the nature of the chemical bonds in MA illustrates the fact that elimination of carbon dioxide/acetone is an important feature of the chemistry of MA. The surface electrostatic potential and the charge distribution rationalize the sites of nucleophilic/electrophilic attack.