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An accurate X-ray diffraction study at 20 K combined with DFT theoretical calculations has been performed for the estriol crystal with two conformationally different molecules in the asymmetric unit. The electron density has been modeled via a multipole expansion, using both experimental and theoretical structure factors, and a topological analysis has been performed. The experimental molecular geometry, hydrogen bonding, atomic charges, dipole moments, and other topological characteristics are compared with those calculated theoretically. In particular, the molecular electrostatic potential has been extracted and compared with those reported for other estrogen molecules exhibiting different binding affinities to the estrogen receptors (ERα and ERβ).

The electron density distribution of two substituted norbornene derivatives (cis-5-norbornene-endo-2,3-dicarboxylic anhydride (1) and 7-oxabicylo[2.2.1]hept-5-ene-exo-2,3-dicarboxylic anhydride (2) has been determined from low-temperature (20 K) X-ray diffraction data and from DFT calculations with periodic boundary conditions. Topological analysis of the electron density is discussed with respect to exo-selective additions, the partial retro-Diels-Alder (rDA) character of the ground state, and intermolecular interaction energies.

This paper presents topological analysis of charge density from multipolar refinement and ab initio calculations for both melamine-barbital co-crystal and isolated molecules. The comparison of electron density properties for the isolated molecules and for the co-crystal allowed one to unravel the factors contributing to the formation of specific hydrogen bond patterns in the co-crystal structure. The inspection of charge density properties revealed that N1A of barbital and N3B of melamine compete for H1A atom in hydrogen bond formation. The hydrogen bond shows an intermediate character between closed and shared shell interaction. The tendency of barbital to adopt tautomeric forms in solution which can be correlated with the shift of electron density (mesomeric effect) was emphasized. Charge density studies confirmed the existence of the mesomeric form B of barbital in the studied co-crystal. The form B was also reported in polar co-crystals comprised of barbital and barbituric acid.

X-ray/neutron (X/N) diffraction data measured at very low temperature (15 K) in conjunction with ab initio theoretical calculations were used to model the crystal charge density (CD) of the host-guest complex of hydroquinone (HQ) and acetonitrile. Due to pseudosymmetry, information about the ordering of the acetonitrile molecules within the HQ cavities is present only in almost extinct, very weak diffraction data, which cannot be measured with sufficient accuracy even by using the brightest X-ray and neutron sources available, and the CD model of the guest molecule was ultimately based on theoretical calculations. On the other hand, the CD of the HQ host structure is well determined by the experimental data. The neutron diffraction data provide hydrogen anisotropic thermal parameters and positions, which are important to obtain a reliable CD for this light-atom-only crystal. Atomic displacement parameters obtained independently from the X-ray and neutron diffraction data show excellent agreement with a |ΔU| value of 0.00058 Å(2) indicating outstanding data quality. The CD and especially the derived electrostatic properties clearly reveal increased polarization of the HQ molecules in the host-guest complex compared with the HQ molecules in the empty HQ apohost crystal structure. It was found that the origin of the increased polarization is inclusion of the acetonitrile molecule, whereas the change in geometry of the HQ host structure following inclusion of the guest has very little effect on the electrostatic potential. The fact that guest inclusion has a profound effect on the electrostatic potential suggests that nonpolarizable force fields may be unsuitable for molecular dynamics simulations of host-guest interaction (e.g., in protein-drug complexes), at least for polar molecules.

The discovery of the ultra-high thermoelectric figure of merit of 2.6 in SnSe has drawn attention to other lead-free IV-VI orthorhombic semiconductors. GeSe has been predicted to possess thermoelectric performances comparable to SnSe. Here, a complete structural study is reported of GeSe with temperature by means of high-resolution synchrotron powder X-ray diffraction. In the orthorhombic phase, the evolution of the bond distances with temperature is shown to deviate significantly with respect to SnSe. Analysis of the chemical bonding within the Quantum Theory of Atoms in Molecules shows that GeSe is ionic with van der Waals interlayer interactions. The signature of the N shell lone pair of Ge is also evident from both the electron density Laplacian and the ELF topologies.

The electron density distributions in both polymorphs of the promising photovoltaic material iron disulfide have been determined by multipole modelling against state-of-the-art synchrotron X-ray diffraction data collected at 10 K using minute single crystals with dimensions less than 10 μm. Charge density analysis of FeS2 pyrite and marcasite offers a unique opportunity to relate local atomic properties, such as 2-center chemical bonding, atomic charges and d-orbital populations, to polymorphism in extended crystal structures. In combination with results from periodic calculations on the compounds in the experimental geometries using WIEN2k, the study provides unambiguous answers to a number of unsolved issues regarding the nature of the bonding in FeS2. The Fe–S bonds exhibit all the virtues of polar covalent bonds, with only minor charge accumulation but significantly negative energy densities at the bond critical points. Compared to a non-interacting model, the density is found to be concentrated along the Fe–S interaction line in support of a partial covalent bonding description. The homopolar covalent S–S interaction is seemingly stronger in pyrite than in marcasite, determined not only from the shorter distance but also from all topological indicators. The study also clarifies that the atomic charges are significantly smaller than the estimation based on crystal-field theory of Fe2+, S−1. The experimentally derived Fe d-orbital populations are found to deviate from the commonly assumed full t2g set, empty eg set, and they fit exceptionally well with the theoretical individual atomic orbitals projected density of states showing a higher dxy participation in the valence band in marcasite compared with pyrite. Thus, the differences between the two polymorphic compounds are directly reflected in their valence density distributions and d-orbital populations.

Fully filled CaCo4Sb12 system is selected as a test case for probing how the ab-initio modeled electronic transport properties are affected by the computational level. The periodic wave functions for the various adopted models are calculated by means of the Density Functional Theory (DFT) approach using local gaussian atomic basis sets, while the relevant electronic transport properties are obtained from the band structure using the semi-classical Boltzmann transport theory. This two-step computational procedure is tested against the atomic basis set quality, the band structure adopted in the frozen band approach and the DFT functional form. From this extensive test, a reliable computational level for CaCo4Sb12 is identified and the experimental findings on the Ca-filled systems are discussed in the light of, and compared with, the results from computations.

The experimental charge density (CD) distributions in both polymorphs of the photovoltaic compound iron-disulphide (FeS2; cubic pyrite and orthorhombic marcasite) will be described.[1] The CDs are determined by multipole modelling using synchrotron X-ray diffraction data collected at 10 K on extremely small single crystals (