Electron density of a nanohoop [2]rotaxane based on invariom refinement

2021 ◽  
Vol 76 (2) ◽  
pp. 97-102
Author(s):  
Peter Luger ◽  
Birger Dittrich
Keyword(s):  
Electron Density ◽  
Topological Analysis ◽  
Potential Gradient ◽  
Building Blocks ◽  
Pyridyl Ring ◽  
Bond Orders ◽  
X Ray Diffraction ◽  
Phenyl Rings ◽  
Non Covalent Interactions ◽  
Average Bond

Abstract Rotaxanes as well as catenanes are known as potential building blocks of molecular machines. The nanohoop [2]rotaxane investigated is composed of a macrocycle derived from a [6]cycloparaphenylene (CCP, designated as a carbon nanohoop), where one of the six para-linked phenyl rings is replaced by a 2,6-substituted pyridyl ring. This macrocycle is mechanically interlocked with a thread, a linear rod-shaped diyne fragment sitting in the cavity of the macrocycle. Two bulky 3,5-di-t-butyl-phenyl rests as end groups keep the thread fixed. The interplay between macrocycle and thread was examined by means of the electron density distribution (EDD) obtained by application of the invariom formalism, relying on X-ray diffraction data collected earlier. The so-obtained EDD was subjected to topological analysis using the QTAIM formalism. Moreover, molecular Hirshfeld and electrostatic potential (ESP) surfaces were calculated. The 73 C–C bonds were analysed in terms of bond topological properties. For the 46 single and the 22 aromatic bonds, the analysis gave average bond orders of 1.03 and 1.61. The five C–C bonds in the diyne fragment can clearly be distinguished into three types: formal triple bonds with bond orders above 3.0, arene bonds with bond orders of 1.6 and finally bond orders of 1.3 in the adjacent C–C bonds, which indicate a considerable electron delocalization in this fragment. Mapping the ED onto the Hirshfeld surfaces of the macrocycle and the thread does not show strong signals. This shows that in between the molecules only weak non-covalent interactions are present. The electrostatic potentials (ESPs) were mapped onto molecular EDD isosurfaces. For all phenyl rings, small regions of negative ESP are visible on the delocalized π systems. A potential gradient between the mostly positive ESP of the macrocycle and the diyne region of the thread exist, which can be considered the dominant force to hold this rotaxane together.

Electron density of a benzoylated tetrafructopyranose

2022 ◽  
Vol 0 (0) ◽  
Author(s):  
Peter Luger ◽  
Birger Dittrich
Keyword(s):  
Electron Density ◽  
X Ray Diffraction ◽  
X Ray ◽  
Atomic Properties ◽  
Phenyl Rings ◽  
Structural Database ◽  
Non Covalent Interactions ◽  
Weak Surface ◽  
Average Bond ◽  
Covalent Interactions

Abstract The electron density distribution (EDD) of a tetrasaccharide composed of four benzoylated fructopyranosyl units was obtained by refinement with scattering factors from the invariom library. X-ray diffraction data was downloaded from the Cambridge Structural Database (CSD). Bond topological and atomic properties were obtained by application of Bader’s QTAIM formalism. From a large number of 105 C–C bonds in the molecule average bond orders for 33 single and 72 aromatic bonds were calculated yielding values of 1.33 and 1.61. Molecular Hirshfeld and electrostatic potential (ESP) surfaces show that only weak non-covalent interactions exist. The phenyl rings of the benzoyl fragments in the outer regions of the molecule generate a positive ESP shell with repulsive properties between adjacent molecules. Weak surface interactions result in a rather unusual low density around 1.3 g cm−3, which is understandable when compared to other carbohydrates where strong O–H⋯O hydrogen bonds allow a 20% more dense packing with densities >1.5 g cm−3 as determined by single crystal X-ray diffraction.

Revisiting the charge density analysis of 2,5-dichloro-1,4-benzoquinone at 20 K

2017 ◽  
Vol 73 (4) ◽  
pp. 654-659 ◽  
Author(s):  
Zhijie Chua ◽  
Bartosz Zarychta ◽  
Christopher G. Gianopoulos ◽  
Vladimir V. Zhurov ◽  
A. Alan Pinkerton
Keyword(s):  
Charge Density ◽  
Electron Density ◽  
Topological Analysis ◽  
Diffraction Measurement ◽  
X Ray Diffraction ◽  
Total Electron Density ◽  
Total Electron ◽  
Structure Factors ◽  
Density Analysis ◽  
Experimental Charge Density

A high-resolution X-ray diffraction measurement of 2,5-dichloro-1,4-benzoquinone (DCBQ) at 20 K was carried out. The experimental charge density was modeled using the Hansen–Coppens multipolar expansion and the topology of the electron density was analyzed in terms of the quantum theory of atoms in molecules (QTAIM). Two different multipole models, predominantly differentiated by the treatment of the chlorine atom, were obtained. The experimental results have been compared to theoretical results in the form of a multipolar refinement against theoretical structure factors and through direct topological analysis of the electron density obtained from the optimized periodic wavefunction. The similarity of the properties of the total electron density in all cases demonstrates the robustness of the Hansen–Coppens formalism. All intra- and intermolecular interactions have been characterized.

scholarly journals Topology of the Electron Density and of Its Laplacian from Periodic LCAO Calculations on f-Electron Materials: The Case of Cesium Uranyl Chloride

Molecules ◽  
2021 ◽  
Vol 26 (14) ◽  
pp. 4227
Author(s):  
Alessandro Cossard ◽  
Silvia Casassa ◽  
Carlo Gatti ◽  
Jacques K. Desmarais ◽  
Alessandro Erba
Keyword(s):  
Electron Density ◽  
Chemical Bonding ◽  
Topological Analysis ◽  
Theoretical Description ◽  
Basis Functions ◽  
Quantum Mechanical ◽  
X Ray Diffraction ◽  
X Ray ◽  
Atomic Orbitals ◽  
Uranyl Chloride

The chemistry of f-electrons in lanthanide and actinide materials is yet to be fully rationalized. Quantum-mechanical simulations can provide useful complementary insight to that obtained from experiments. The quantum theory of atoms in molecules and crystals (QTAIMAC), through thorough topological analysis of the electron density (often complemented by that of its Laplacian) constitutes a general and robust theoretical framework to analyze chemical bonding features from a computed wave function. Here, we present the extension of the Topond module (previously limited to work in terms of s-, p- and d-type basis functions only) of the Crystal program to f- and g-type basis functions within the linear combination of atomic orbitals (LCAO) approach. This allows for an effective QTAIMAC analysis of chemical bonding of lanthanide and actinide materials. The new implemented algorithms are applied to the analysis of the spatial distribution of the electron density and its Laplacian of the cesium uranyl chloride, Cs2UO2Cl4, crystal. Discrepancies between the present theoretical description of chemical bonding and that obtained from a previously reconstructed electron density by experimental X-ray diffraction are illustrated and discussed.

Topological characterization of electron density, electrostatic potential and intermolecular interactions of 2-nitroimidazole: an experimental and theoretical study

2016 ◽  
Vol 72 (5) ◽  
pp. 775-786 ◽  
Author(s):  
Chinnasamy Kalaiarasi ◽  
Mysore S Pavan ◽  
Poomani Kumaradhas
Keyword(s):  
Electron Density ◽  
Intermolecular Interactions ◽  
Electrostatic Potential ◽  
Theoretical Calculations ◽  
Topological Analysis ◽  
X Ray Diffraction ◽  
Topological Characterization ◽  
Data Set ◽  
X Ray ◽  
Charge Concentration

An experimental charge density distribution of 2-nitroimidazole was determined from high-resolution X-ray diffraction and the Hansen–Coppens multipole model. The 2-nitroimidazole compound was crystallized and a high-angle X-ray diffraction intensity data set has been collected at low temperature (110 K). The structure was solved and further, an aspherical multipole model refinement was performed up to octapole level; the results were used to determine the structure, bond topological and electrostatic properties of the molecule. In the crystal, the molecule exhibits a planar structure and forms weak and strong intermolecular hydrogen-bonding interactions with the neighbouring molecules. The Hirshfeld surface of the molecule was plotted, which explores different types of intermolecular interactions and their strength. The topological analysis of electron density at the bond critical points (b.c.p.) of the molecule was performed, from that the electron density ρbcp(r) and the Laplacian of electron density ∇2ρbcp(r) at the b.c.p.s of the molecule have been determined; these parameters show the charge concentration/depletion of the nitroimidazole bonds in the crystal. The electrostatic parameters like atomic charges and the dipole moment of the molecule were calculated. The electrostatic potential surface of the molecule has been plotted, and it displays a large electronegative region around the nitro group. All the experimental results were compared with the corresponding theoretical calculations performed usingCRYSTAL09.

scholarly journals Two Tautomers of Thiobarbituric Acid in One Crystal: The Experimental Charge Density Perspective

Materials ◽  
2021 ◽  
Vol 15 (1) ◽  
pp. 223
Author(s):  
Anita M. Grześkiewicz ◽  
Maciej Kubicki
Keyword(s):  
Hydrogen Bonds ◽  
Density Distribution ◽  
Electron Density ◽  
Electron Density Distribution ◽  
Weak Interactions ◽  
Topological Analysis ◽  
Thiobarbituric Acid ◽  
Polymorphic Form ◽  
X Ray Diffraction ◽  
Geometrical Features

High-quality crystals of a certain polymorphic form of thiobarbituric acid containing both keto and enol tautomers in the asymmetric unit were obtained. High-resolution X-ray diffraction data up to sinθ/λ = 1.0 Å−1 were collected and subsequently successfully used for the refining of the multipolar model of electron density distribution. The use of a crystal containing both ketone and enol forms allowed a direct comparison of the topological analysis results and a closer look at the differences between these two forms. The similarities and differences between the deformation densities, electrostatic potentials, Laplacian maps and bond characteristics of the tautomers were analysed. Additionally, the spectrum of the intermolecular interactions was identified and studied from classical, relatively strong N-H···O and O-H···O hydrogen bonds through weaker N-H···S hydrogen bonds to weak interactions (for instance, C-H···O, C-H···S and N···O). The results of these studies point toward the importance of including both the geometrical features and the details of the electron density distribution in the analysis of such weak interactions.

Submolecular partitioning of morphine hydrate based on its experimental charge density at 25 K

2005 ◽  
Vol 61 (4) ◽  
pp. 443-448 ◽  
Author(s):  
S. Scheins ◽  
M. Messerschmidt ◽  
P. Luger
Keyword(s):  
Electron Density ◽  
Electron Density Distribution ◽  
Theoretical Calculations ◽  
Topological Analysis ◽  
Theoretical Studies ◽  
X Ray Diffraction ◽  
X Ray ◽  
Resolution Single ◽  
Experimental Electron Density ◽  
Experimental Charge Density

The electron density distribution of morphine hydrate has been determined from high-resolution single-crystal X-ray diffraction measurements at 25 K. A topological analysis was applied and, in order to analyze the submolecular transferability based on an experimental electron density, a partitioning of the molecule into atomic regions was carried out, making use of Bader's zero-flux surfaces to yield atomic volumes and charges. The properties obtained were compared with the theoretical calculations of smaller fragment molecules, from which the complete morphine molecule can be reconstructed, and with theoretical studies of another opiate, Oripavine PEO, reported in the literature.

scholarly journals Is It Conjugated or Not? The Theoretical and Experimental Electron Density Map of Bonding in p-CH3CH2COC6H4-C≡C-C≡C-p-C6H4COCH3CH2

Molecules ◽  
2020 ◽  
Vol 25 (19) ◽  
pp. 4388 ◽  
Author(s):  
Przemysław Starynowicz ◽  
Sławomir Berski ◽  
Nurbey Gulia ◽  
Karolina Osowska ◽  
Tadeusz Lis ◽  
...  
Keyword(s):  
Electron Density ◽  
Theoretical Calculations ◽  
Topological Analysis ◽  
Carbon Chain ◽  
Small Contribution ◽  
X Ray Diffraction ◽  
X Ray ◽  
Density Map ◽  
Electron Density Map ◽  
Experimental Electron Density

The electron density of p-CH3CH2COC6H4-C≡CC≡C-p-C6H4COCH3CH2 has been investigated on the basis of single-crystal X-ray diffraction data collected to high resolution at 100 K and from theoretical calculations. An analysis of the X-ray data of the diyne showed interesting “liquidity” of electron distribution along the carbon chain compared to 1,2-diphenylacetylene. These findings are compatible with the results of topological analysis of Electron Localization Function (ELF), which has also revealed a larger (than expected) concentration of the electron density at the single bonds. Both methods indicate a clear π-type or “banana” character of a single bond and a significant distortion from the typical conjugated structure of the bonding in the diyne with a small contribution of cumulenic structures.

Electrostatic properties of the pyrimethamine–2,4-dihydroxybenzoic acid cocrystal in methanol studied using transferred electron-density parameters

2018 ◽  
Vol 74 (1) ◽  
pp. 100-107 ◽  
Author(s):  
Muhammad Umer Faroque ◽  
Sajida Noureen ◽  
Maqsood Ahmed ◽  
Muhammad Nawaz Tahir
Keyword(s):  
Crystal Structure ◽  
Electron Density ◽  
Topological Analysis ◽  
Molecular Assembly ◽  
X Ray Diffraction ◽  
Dihydroxybenzoic Acid ◽  
Salt Form ◽  
Intermolecular Hydrogen Bonds ◽  
Atom Model ◽  
Cl Atom

The crystal structure of the cocrystal salt form of the antimalarial drug pyrimethamine with 2,4-dihydroxybenzoic acid in methanol [systematic name: 2,4-diamino-5-(4-chlorophenyl)-6-ethylpyrimidin-1-ium 2,4-dihydroxybenzoate methanol monosolvate, C12H14ClN4 +·C7H5O4 −·CH3OH] has been studied using X-ray diffraction data collected at room temperature. The crystal structure was refined using the classical Independent Atom Model (IAM) and the Multipolar Atom Model by transferring electron-density parameters from the ELMAM2 database. The Cl atom was refined anharmonically. The results of both refinement methods have been compared. The intermolecular interactions have been characterized on the basis of Hirshfeld surface analysis and topological analysis using Bader's theory of Atoms in Molecules. The results show that the molecular assembly is built primarily on the basis of charge transfer between 2,4-dihydroxybenzoic acid and pyrimethamine, which results in strong intermolecular hydrogen bonds. This fact is further validated by the calculation of the electrostatic potential based on transferred electron-density parameters.

Attractive halogen···halogen interactions in crystal structure of trans-dibromogold(III) complex

2020 ◽  
Vol 235 (10) ◽  
pp. 477-480 ◽  
Author(s):  
Alexander G. Tskhovrebov ◽  
Alexander S. Novikov ◽  
Andreii S. Kritchenkov ◽  
Victor N. Khrustalev ◽  
Matti Haukka
Keyword(s):  
Self Assembly ◽  
Electron Density Distribution ◽  
Topological Analysis ◽  
X Ray Diffraction ◽  
X Ray ◽  
Elemental Analyses ◽  
Nmr Techniques ◽  
Non Covalent Interactions ◽  
Covalent Interactions ◽  
C Nmr

AbstractA synthesis of the trans-dibromogold(III) t-Bu-Xantphos complex and its self-assembly into infinite 1-dimensional chain in the solid state is reported. The new complex characterized using elemental analyses (C, H, N), ESI-MS, 1H and 13C NMR techniques and X-ray diffraction analysis. Results of DFT calculations followed by the topological analysis of the electron density distribution within the framework of QTAIM method at the ωB97XD/DZP-DKH level of theory reveal that strength of attractive intermolecular non-covalent interactions Br···Br in the crystal is 1.2–1.6 kcal/mol.

Sign in / Sign up

Export Citation Format

Share Document