Ring Inversion Research Articles

The $w$-core–EP inverse in rings with involution

The $w$-core–EP inverse in rings with involution

Copper(II)‐Amine Complex‐Mediated Intramolecular Coupling of Gallates: A Bioinspired Solution to the Atroposelective Synthesis of Ellagitannins.

Total syntheses of the C‐glucosidic ellagitannins (−)‐punicacortein A, (−)‐epipunicacortein A and (+)‐castalin were accomplished for the first time, and those of the glucopyranosic ellagitannins (+)‐tellimagrandin I and (+)‐pedunculagin were revisited. The atroposelective construction of their characteristic hexahydroxydiphenoyl (HHDP) and nonahydroxyterphenoyl (NHTP) units relied on the use of different cupric‐amine complexes under different reaction conditions to mediate the intramolecular dehydrogenative coupling of galloyl groups at different positions of glucose cores. In particular, the monodentate n‐butylamine and the bidentate (–)‐sparteine were found to be complementary in their capacity to promote the regio‐ and atroposelective coupling of galloyl groups on a 4C1‐glucopyranosic core into 2,3‐O‐(S)‐ and/or 4,6‐O‐(S)‐HHDP units. Furthermore, replacing (–)‐sparteine by its optical antipode not only counteracted the substrate‐controlled induction of atroposelectivity to forge a 4,6‐O‐(R)‐HHDP unit, but it also enabled a 4C1 to 1C4 ring flip of the glucopyranosic core and hence the formation of 2,4‐O‐(R)‐ and 3,6‐O‐(R)‐HHDP units, such as those featured in the glucopyranosic ellagitannins phyllanemblinin B and geraniin.

Copper(II)-Amine Complex-Mediated Intramolecular Coupling of Gallates: A Bioinspired Solution to the Atroposelective Synthesis of Ellagitannins.

Total syntheses of the C-glucosidic ellagitannins (-)-punicacortein A, (-)-epipunicacortein A and (+)-castalin were accomplished for the first time, and those of the glucopyranosic ellagitannins (+)-tellimagrandin I and (+)-pedunculagin were revisited. The atroposelective construction of their characteristic hexahydroxydiphenoyl (HHDP) and nonahydroxyterphenoyl (NHTP) units relied on the use of different cupric-amine complexes under different reaction conditions to mediate the intramolecular dehydrogenative coupling of galloyl groups at different positions of glucose cores. In particular, the monodentate n-butylamine and the bidentate (-)-sparteine were found to be complementary in their capacity to promote the regio- and atroposelective coupling of galloyl groups on a 4C1-glucopyranosic core into 2,3-O-(S)- and/or 4,6-O-(S)-HHDP units. Furthermore, replacing (-)-sparteine by its optical antipode not only counteracted the substrate-controlled induction of atroposelectivity to forge a 4,6-O-(R)-HHDP unit, but it also enabled a 4C1 to 1C4 ring flip of the glucopyranosic core and hence the formation of 2,4-O-(R)- and 3,6-O-(R)-HHDP units, such as those featured in the glucopyranosic ellagitannins phyllanemblinin B and geraniin.

Computational Study on the Conformational Flexibility-Mediated Intramolecular Oxidative Spirocyclization of Procyanidin B4.

Procyanidins, found widely in foods and beverages, are prone to oxidation, yet the chemical structures of their oxidation products and the mechanisms involved remain unclear. Herein, we report that the conformation of procyanidin B4 influences its oxidation products and their stereochemistry. Eight spirocyclized oxidation products were obtained from procyanidin B4 and classified as S- or R-forms based on the configuration of the spiro carbons. The ratios of S- and R-forms derived from the compact and extended rotamers of procyanidin B4, respectively, varied with the solvent. DFT calculations suggested that the four lowest-energy conformers of procyanidin B4 are diverged by interflavan bond rotation and heterocyclic ring inversion. Conformations with an axial-oriented B-ring were estimated as reactive conformations showing proximity between reaction sites on the B- and D-rings. Moreover, the extended rotamer bearing the axially oriented B-ring showed greater stabilization by noncovalent interactions (NCIs), such as OH-π interactions, compared to the counterpart of the compact rotamer. This NCI-based stabilization accounts for a higher production of the R-form despite the predominant presence of the compact rotamer in H2O. These findings highlight the conformational effects that bias the stereoselectivity of oxidative spirocyclization in procyanidin B4, advancing our understanding of procyanidin oxidation mechanisms and product stereochemistry.

Invention of novel 3-aminopiperidin-2-ones as calcitonin gene-related peptide receptor antagonists

A novel series of 3-amino-piperidin-2-one-based calcitonin gene-related peptide (CGRP) receptor antagonists was invented based upon the discovery of unexpected structure–activity observations. Initial exploration of the structure–activity relationships enabled the generation of a moderately potent lead structure (4). A series of modifications, including ring contraction and inversion of stereocenters, led to surprising improvements in CGRP receptor affinity. These studies identified compound 23, a structurally novel potent, orally bioavailable CGRP receptor antagonist.

Theoretical Insight of Structural Effects on Bridge Mononitration of Tetrasubstituted p‐tert‐Butylcalix[4]Arenes

AbstractIn order to deeply understand calix[4]arene bridge mononitration, four representative tetrasubstituted p‐tert‐butylcalix[4]arenes were selected as substrates to theoretically explore calix[4]arene structural effects. Based on our proposed mechanism, the four corresponding calix[4]arene bridge radicals were artificially constructed. Then, three different levels of density functional theory (DFT) were used to calculate their pertinent species energies in radical generations and radical spin densities. The nitration differences of these four substrates were tentatively interpreted through comparison of their reaction activation energies in radical generations and radical stability. As a result, Gibbs activation free energies in radical generations cannot rationally interpret their nitration behaviors while radical stability can, which are characterized with radical stability energies (RSEs) and center carbon spin densities (SDcs). From radical structural analysis, it can be concluded that aromatic ring inversion is remarkably beneficial to enhance calix[4]arene bridge radical stability through strengthening spin delocalization onto their connecting aromatic rings, whereas a substituent with large steric hindrance is unbeneficial due to weakening spin delocalization. The theoretical analysis of radical intrinsic structural effects on their spin delocalizations provides guidance in designing new efficient calix[4]arene‐based substrates.

Facile Synthesis and Global Aromaticity of Aza‐Superbenzene and Aza‐Supernaphthalene at Different Oxidation States

AbstractAll‐benzenoid polycyclic aromatic hydrocarbons or macrocycles usually display localized aromaticity. On the other hand, incorporation of quinoidal units into the skeleton could lead to effective electron delocalization and global (anti)aromaticity. In this work, fully π‐conjugated macrocycle 1 and bismacrocycle 2 containing both para‐quinodimethane and triphenylamine units are efficiently synthesized mainly through intermolecular Friedel–Crafts alkylation reaction. They can be considered as a tetraazasuperbenzene and a hexaazasupernaphthalene, respectively, due to their similar geometry and electronic structures to the benzene and naphthalene. X‐ray crystallographic analyses reveal a largely planar geometry for both 1 and 2 and variable‐temperature NMR measurements disclose slow dynamic processes owing to restricted ring flipping of the phenyl rings. 1 and 2 can be easily oxidized into higher‐oxidation‐state species. NMR and theoretical calculations indicate that 12+ and 14+ show global anti‐aromaticity and aromaticity, respectively, with a dominant 32π and 30π conjugation pathway, while for the bismacrocycle 2, its dication 22+, tetracation 24+ and hexacation 26+ exhibit global aromaticity, antiaromaticity, and aromaticity with a 54π, 52π and 50π conjugation pathway along the outermost backbone, respectively.

Facile Synthesis and Global Aromaticity of Aza-Superbenzene and Aza-Supernaphthalene at Different Oxidation States.

All-benzenoid polycyclic aromatic hydrocarbons or macrocycles usually display localized aromaticity. On the other hand, incorporation of quinoidal units into the skeleton could lead to effective electron delocalization and global (anti)aromaticity. In this work, fully π-conjugated macrocycle 1 and bismacrocycle 2 containing both para-quinodimethane and triphenylamine units are efficiently synthesized mainly through intermolecular Friedel-Crafts alkylation reaction. They can be considered as a tetraazasuperbenzene and a hexaazasupernaphthalene, respectively, due to their similar geometry and electronic structures to the benzene and naphthalene. X-ray crystallographic analyses reveal a largely planar geometry for both 1 and 2 and variable-temperature NMR measurements disclose slow dynamic processes owing to restricted ring flipping of the phenyl rings. 1 and 2 can be easily oxidized into higher-oxidation-state species. NMR and theoretical calculations indicate that 12+ and 14+ show global anti-aromaticity and aromaticity, respectively, with a dominant 32π and 30π conjugation pathway, while for the bismacrocycle 2, its dication 22+, tetracation 24+ and hexacation 26+ exhibit global aromaticity, antiaromaticity, and aromaticity with a 54π, 52π and 50π conjugation pathway along the outermost backbone, respectively.

Chiral Cationic Chromophores: A New Class of Efficient Ultrabroadband Organic THz Crystals

AbstractA strategic approach to develop efficient ultra‐broadband terahertz (THz) crystals involves the incorporation of different electron donating groups (EDGs) into cationic chromophores. In contrast to the widely utilized non‐cyclic 4‐(dimethylamino)phenyl (DA) EDG, cyclic 5‐membered 4‐(2‐(hydroxymethyl)pyrrolidine‐1‐yl)phenyl (PB) and cyclic 6‐membered 4‐(3‐(hydroxymethyl)piperidin‐1‐yl)phenyl (PN) EDGs exhibit an asymmetrical shape with a strongly interacting hydroxymethyl group at the chiral center. Notably, the PB EDG shows narrower intrinsic vibrational states with lower conformational flexibility and smaller ring flips compared to the PN EDG. In the crystalline state, introducing the PB EDG leads to the formation of a new class of nonlinear optical assembly, the so‐called stair‐type cation‐anion assembly. This assembly demonstrates optimal chromophore alignment with state‐of‐the‐art effective first hyperpolarizability (209 × 10−30 esu). Furthermore, the PB EDG‐based crystals exhibit significantly lower THz absorption compared to previously reported benchmark crystals. In THz wave generation experiments, PB EDG‐based crystals demonstrate state‐of‐the‐art efficiency and ultrabroad spectral bandwidth, featuring a cut‐off frequency of up to 16 THz.

Synthesis and Conformational Dynamics of Selenanthrene (Oxides): Establishing an Energetic Flexibility Index for Scaffolds.

The use of new dynamic scaffolds for constructing inorganic and organometallic complexes with enhanced reactivities is an important new research direction. Toward this fundamental aim, an improved synthesis of the dynamic scaffold selenanthrene, along with its monoxide, trans-dioxide and the previously unknown trioxide, is reported. A discussion of the potential reaction mechanism for selenanthrene is provided, and all products were characterized using 1H, 13C, and 77Se nuclear magnetic resonance (NMR) spectroscopy and single-crystal X-ray crystallography. The dynamic ring inversion processes (i.e., "butterfly motion") for selenanthrene and its oxides were investigated using variable-temperature 1H NMR and density functional theory calculations. The findings suggest that selenanthrene possesses a roughly equal barrier to inversion as its sulfur analogue, thianthrene. However, selenanthrene oxides evidently possess larger inversion barriers as compared to their sulfur analogues due to the enhanced electrostatic intramolecular interactions inherent between the highly polar selenium-oxygen bond and adjacent C-H moieties. Finally, we propose a quantitative "flexibility index" in deg/(kcal/mol) for various tricyclic scaffolds to provide researchers with a comparative scale of dynamic motion across many different systems.

Minimal Weak Drazin Inverses in Semigroups and Rings

Minimal Weak Drazin Inverses in Semigroups and Rings

Genetic Encoding of Fluoro-l-tryptophans for Site-Specific Detection of Conformational Heterogeneity in Proteins by NMR Spectroscopy.

The substitution of a single hydrogen atom in a protein by fluorine yields a site-specific probe for sensitive detection by 19F nuclear magnetic resonance (NMR) spectroscopy, where the absence of background signal from the protein facilitates the detection of minor conformational species. We developed genetic encoding systems for the site-selective incorporation of 4-fluorotryptophan, 5-fluorotryptophan, 6-fluorotryptophan, and 7-fluorotryptophan in response to an amber stop codon and used them to investigate conformational heterogeneity in a designed amino acid binding protein and in flaviviral NS2B-NS3 proteases. These proteases have been shown to present variable conformations in X-ray crystal structures, including flips of the indole side chains of tryptophan residues. The 19F NMR spectra of different fluorotryptophan isomers installed at the conserved site of Trp83 indicate that the indole ring flip is common in flaviviral NS2B-NS3 proteases in the apo state and suppressed by an active-site inhibitor.

Alchemical Enhanced Sampling with Optimized Phase Space Overlap.

An alchemical enhanced sampling (ACES) method has recently been introduced to facilitate importance sampling in free energy simulations. The method achieves enhanced sampling from Hamiltonian replica exchange within a dual topology framework while utilizing new smoothstep softcore potentials. A common sampling problem encountered in lead optimization is the functionalization of aromatic rings that exhibit distinct conformational preferences when interacting with the protein. It is difficult to converge the distribution of ring conformations due to the long time scale of ring flipping events; however, the ACES method addresses this issue by modeling the syn and anti ring conformations within a dual topology. ACES thereby samples the conformer distributions by alchemically tunneling between states, as opposed to traversing a physical pathway with a high rotational barrier. We demonstrate the use of ACES to overcome conformational sampling issues involving ring flipping in ML300-derived noncovalent inhibitors of SARS-CoV-2 Main Protease (Mpro). The demonstrations explore how the use of replica exchange and the choice of softcore selection affects the convergence of the ring conformation distributions. Furthermore, we examine how the accuracy of the calculated free energies is affected by the degree of phase space overlap (PSO) between adjacent states (i.e., between neighboring λ-windows) and the Hamiltonian replica exchange acceptance ratios. Both of these factors are sensitive to the spacing between the intermediate states. We introduce a new method for choosing a schedule of λ values. The method analyzes short "burn-in" simulations to construct a 2D map of the nonlocal PSO. The schedule is obtained by optimizing an alchemical pathway on the 2D map that equalizes the PSO between the λ intervals. The optimized phase space overlap λ-spacing method (Opt-PSO) leads to more numerous end-to-end single passes and round trips due to the correlation between PSO and Hamiltonian replica exchange acceptance ratios. The improved exchange statistics enhance the efficiency of ACES method. The method has been implemented into the FE-ToolKit software package, which is freely available.

Inclusion properties of generalized inverses in rings

In this paper, we investigate inclusion properties in a ∗-ring. It is proven that for two [Formula: see text]-invertible elements [Formula: see text] and [Formula: see text] in a ∗-ring, [Formula: see text] if and only if [Formula: see text]. For two [Formula: see text]-invertible elements [Formula: see text] and [Formula: see text], [Formula: see text] if and only if [Formula: see text]. Moreover, we give a characterization of [Formula: see text]-inverses, and the absorption law for [Formula: see text]-inverses is studied.

Dissociation Constant of Di‐ and Tri‐Basic Solvents Based on Piperazine and Its Derivatives for Post‐Combustion CO2 Capture

AbstractAmine solvents remain popular in the industries for post combustion carbon dioxide (CO2) capture. Dissociation constant of basic amine solvents plays significant role to influence the CO2 absorption. It is thus important to study the dissociation of new amine solvents for assessing their viability for CO2 capture. In the present work, potentiometric titration method is employed to determine the dissociation constants of dibasic (e. g., Piperazine (PZ), 1‐methyl piperazine (1‐MPZ) and tribasic amines (1‐(2‐aminoethyl‐piperazine) (AEPZ) which could be promising for formulating blended solvent system towards enhancing the rate of CO2 absorption. The estimated dissociation constants for the PZ and 1‐MPZ while match well with reported results, the dissociation constants for AEPZ has been determined newly here within the temperature range 298—318 K. In addition, the structural geometric parameters and Natural Bond Order (NBO) calculations of the amine solvents are performed based on Density Functional Theory (DFT). The NBO calculations predict charge distribution on the nitrogen and other elements, and envisage its effect on the pKa values of the amines. Further, potential energy surface (PES) scanning calculations are performed for AEPZ to explain it's ring inversion which is responsible for obtaining a single pKa value in experimental studies.

On a certain functional identity involving inverses in division rings and local rings

Let [Formula: see text] be a division ring, [Formula: see text] an automorphism of [Formula: see text] and [Formula: see text] a fixed element. We determine the forms of additive maps [Formula: see text] satisfying the identity [Formula: see text] for every nonzero [Formula: see text]. We show that [Formula: see text] and [Formula: see text] are both generalized [Formula: see text]-derivations of [Formula: see text] except possibly when [Formula: see text] is the identity automorphism and [Formula: see text] is an imperfect field of characteristic [Formula: see text]. We further study the same rational identity in the context of local rings under some mild assumptions.

Conformer-Selective Photoelectron Circular Dichroism.

Conformational flexibility and chirality both play a key role in molecular recognition. It is therefore very useful to develop spectroscopic methods that simultaneously probe both properties. It has been theoretically predicted that photoelectron circular dichroism (PECD) should be very sensitive to conformational isomerism. However, experimental proof has been less forthcoming and only exists for a very few favorable cases. Here, we present a new PECD scheme based on resonance-enhanced two-photon ionization (RE2PI) using UV/Vis nanosecond laser excitations. The spectral resolution obtained thereby guarantees conformer-selectivity by inducing resonant conformer-specific ππ* S1←S0 transitions. We apply this experimental scheme to the study of chiral 1-indanol, which exists in two conformers linked by a ring inversion and defined by the position of the hydroxyl group, namely axial and equatorial. We show that the PECD of the equatorial and axial forms considerably differ in sign, magnitude and shape. We also discuss the influence of the total ionization energy, vibronic excitation of intermediate and final states, and relative polarization of the excitation and ionization lasers. Conformer-specificity adds a new dimension to the applications of PECD in analytical chemistry addressing now the general case of floppy systems.

Conformer‐Selective Photoelectron Circular Dichroism

AbstractConformational flexibility and chirality both play a key role in molecular recognition. It is therefore very useful to develop spectroscopic methods that simultaneously probe both properties. It has been theoretically predicted that photoelectron circular dichroism (PECD) should be very sensitive to conformational isomerism. However, experimental proof has been less forthcoming and only exists for a very few favorable cases. Here, we present a new PECD scheme based on resonance‐enhanced two‐photon ionization (RE2PI) using UV/Vis nanosecond laser excitations. The spectral resolution obtained thereby guarantees conformer‐selectivity by inducing resonant conformer‐specific ππ* S1←S0 transitions. We apply this experimental scheme to the study of chiral 1‐indanol, which exists in two conformers linked by a ring inversion and defined by the position of the hydroxyl group, namely axial and equatorial. We show that the PECD of the equatorial and axial forms considerably differ in sign, magnitude and shape. We also discuss the influence of the total ionization energy, vibronic excitation of intermediate and final states, and relative polarization of the excitation and ionization lasers. Conformer‐specificity adds a new dimension to the applications of PECD in analytical chemistry addressing now the general case of floppy systems.

Equivalence Relations Based on (b,c)-Inverses in Rings

Equivalence Relations Based on (b,c)-Inverses in Rings

Left w-Core Inverses in Rings with Involution

Left w-Core Inverses in Rings with Involution