Diatropic Currents Research Articles

Ring Currents in the Clar Goblet Calculated Using Configurational State Averaging.

The closed-shell Hückel-London-Pople-McWeeny formalism for ring currents is extended to Aufbau configurations with open shells calculated as configurational averages. The method is applied to the non-Kekulean benzenoid known as the Clar goblet, recently synthesized on the Au(111) surface. Multiplicity of the ground state is a complication: for the Clar goblet, Hund's rule of maximum multiplicity implies a triplet whereas Ovchinnikov's rule implies a singlet. This disagreement has little effect on the predicted ring currents. Ring-current maps are calculated for the 36π dication, 40π dianion, and low-lying states of the 38π neutral, using Hückel-London and Hubbard-London models. All show twin diatropic perimeter currents on separate halves of the molecule. These are compared with ipsocentric pseudo-π and ab initio maps of induced π-current for closed-shell singlet configurations of dianion, dication, and neutral. Configurationally averaged Hückel-London calculations give a good account of the consistent diatropic ring currents in the Clar goblet for the three charge states.

Acene-Integrated Buckybowls with Near-Infrared II Absorption and over 90 % Photothermal Conversion Efficiency.

Tetracene and pentacene are large, promising building blocks for construction of complex molecular nanocarbons due to their extraordinary photophysical and electronic properties. Herein, two acene-integrated buckybowls, composed of two rows of tetracenes and pentacenes fused through s-indacene unit at the zigzag edges, have been synthesized and characterized. Compared to parent tetracene and pentacene, the buckybowls are extremely stable and show much smaller electrochemical band gaps. Kinetic studies gave the bowl-to-bowl inversion barriers of 11.7 and 13.3 kcal mol-1. Subsequent investigations on magnetic ring currents revealed two local diatropic currents at two rows of acenes and one paratropic current at the s-indacene unit, respectively. Notably, both buckybowls show a broad absorption that reaches into near-infrared II region, and a high photothermal conversion efficiency (>90 %) was achieved when exposed to near-infrared 1064 nm laser photo-irradiation. This study highlights the unusual nature of merging the intrinsic properties of acenes with the inherent properties of buckybowls and showcases a potential avenue for acene utilization for the design of novel complex nanocarbons with a broad range of applications.

Acene‐Integrated Buckybowls with Near‐Infrared II Absorption and over 90 % Photothermal Conversion Efficiency

AbstractTetracene and pentacene are large, promising building blocks for construction of complex molecular nanocarbons due to their extraordinary photophysical and electronic properties. Herein, two acene‐integrated buckybowls, composed of two rows of tetracenes and pentacenes fused through s‐indacene unit at the zigzag edges, have been synthesized and characterized. Compared to parent tetracene and pentacene, the buckybowls are extremely stable and show much smaller electrochemical band gaps. Kinetic studies gave the bowl‐to‐bowl inversion barriers of 11.7 and 13.3 kcal mol−1. Subsequent investigations on magnetic ring currents revealed two local diatropic currents at two rows of acenes and one paratropic current at the s‐indacene unit, respectively. Notably, both buckybowls show a broad absorption that reaches into near‐infrared II region, and a high photothermal conversion efficiency (>90 %) was achieved when exposed to near‐infrared 1064 nm laser photo‐irradiation. This study highlights the unusual nature of merging the intrinsic properties of acenes with the inherent properties of buckybowls and showcases a potential avenue for acene utilization for the design of novel complex nanocarbons with a broad range of applications.

B63: The Most Stable Bilayer Structure with Dual Aromaticity.

The emergence of a bilayer B48 cluster, which has been both theoretically predicted and experimentally observed, as well as the recent experimental synthesis of bilayer borophene sheets on Ag and Cu surfaces, has generated tremendous curiosity in the bilayer structures of boron clusters. However, the connection between bilayer boron cluster and bilayer borophene remains unknown. By combining a genetic algorithm and density functional theory calculations, a global search for the low-energy structures of the B63 cluster was conducted, revealing that the Cs bilayer structure with three interlayer B-B bonds is the most stable bilayer structure. This structure was further examined in terms of its structural stability, chemical bonding, and aromaticity. Interestingly, the interlayer bonds induce strong electronegativity and robust aromaticity. Furthermore, the dual aromaticity stems from diatropic currents originating from virtual translational transitions for both σ and π electrons. This unprecedent bilayer boron cluster is anticipated to enrich the concept of dual aromaticity and serve as a potential precursor for bilayer borophene.

Insight into magnetically induced ring currents and photophysics of six-porphyrin nanorings.

The series of nanorings based on Zn-porphyrins and tetraoxa-isophlorins in different oxidation states (Q = 0, 2+, 4+, 6+) have been studied studied computationally at density functional theory level (DFT) using BHandHLYP functional combined with def2-SVP basis sets. Magnetically induced ring currents of nanorings have been calculated using the GIMIC method and the Ampère-Maxwell integration scheme. Ring current calculations show that neutral nanorings sustain equal diatropic and paratropic currents of 8 nA T-1, resulting in zero net ring current strengths. The charged nanorings sustain strong ring currents with tropicity depending on the oxidation state Q. Among the considered nanorings, the nanoring composed of 6 isophlorins c-Iso66+ is the most aromatic with a ring current of IGIMIC = 81.6 nA T-1. The structure c-P62+ with a ring current of IGIMIC = 54.9 nA T-1 can be considered as the most aromatic among the synthesized porphyrin nanorings. Spin-orbit coupling matrix elements, oscillator strengths, and excitation energies calculated at the CAM-B3LYP/def2-SVP level of theory were used to estimate rate constants for radiative and nonradiative processes. The algorithm based on X-H approximation were used to calculate the internal conversion rates (kIC). The main channel for the deactivation of the excitation energy in the studied nanorings is the process of internal conversion. The deactivation of excited energy occurs due to the vibrations of certain groups of C-H bonds in the nanorings. The nanoring c-Iso6 has magnetically allowed low-lying transitions that contributes significantly to the paratropic ring current, resulting in strong local antiaromaticity in the tetraoxa-isophlorin units.

Ring Strain Energy of Diheteropnictogeniranes El2Pn (Pn = N, P, As, Sb)- Accurate versus Additive Approaches.

Accurate ring strain energy (RSE) values for sixty-six parent pnictogeniranes having two other identical p-block elements, El2Pn, have been reported. A decrease in RSE was observed to correlate with an increase in the p character of the AO used in endocyclic bonds, which is particularly remarkable on descending the groups 15 and 16. The latter also parallels higher -NICS(1) values, which seems not to be related with an increase in aromaticity, as pointed out by other NICS-related criteria, but to atom-centred diatropic currents mostly arising from the presence of lone pairs. Only in case of pnictogenaditrieliranes Tr2Pn (Tr = B, Al, Ga), the decrease of -NICS(1) is related to a lower Hückel-type 2π-electron aromaticity on descending group 13. The use of an additive methodology based on atom-strain contributions enables estimation of a large majority of all possible three-membered rings containing group 13-16 elements with modest accuracy (RMSE = 4.371 kcal/mol), that could be remarkably improved by using bond-strain contributions (RMSE = 1.183 kcal/mol).

Si6C18: A bispentalene derivative with two planar tetracoordinate carbons

AbstractHere we show that substituting the ten protons in the dianion of a bispentalene derivative (C18H102−) by six Si2+ dications produces a minimum energy structure with two planar tetracoordinate carbons (ptC). In Si6C18, the ptCs are embedded in the terminal C5 pentagonal rings and participate in a three‐center, two‐electron (3c‐2e) Si‐ptC‐Si σ‐bond. Our exploration of the potential energy surface identifies a triphenylene derivative as the putative global minimum. Nevertheless, robustness to Born–Oppenheimer molecular dynamics (BOMD) simulations at 900 and 1500 K supports bispentalene derivative kinetic stability. Chemical bonding analysis reveals ten delocalized π‐bonds, which, according to Hückel's 4n + 2 π‐electron rule, would classify it as an aromatic system. Magnetically induced current density analysis reveals the presence of intense local paratropic currents and a weakly global diatropic current, the latter agreeing with the possible global aromatic character of this specie.

A C 54 B 2 Polycyclic π-System with Bilayer Assembly and Multi-Redox Activity

A C ₅₄ B ₂ Polycyclic π-System with Bilayer Assembly and Multi-Redox Activity

Air Stable Chalcogen-Doped Rubicenes with Diradical Character

Air Stable Chalcogen-Doped Rubicenes with Diradical Character

Spatial and Electronic Structures of BeB8 and MgB8 : How far Does the Analogy Go?

Doping boron clusters with Be and its heavier alkaline-earth congener, Mg, usually leads to complexes of different geometry and electronic structure. In this work we show that both neutral BeB8 and MgB8 exhibit a singlet ground state umbrella-like form. In addition, the stability, electronic structure, and aromaticity of the target molecules are compared. The magnetically induced current densities show that BeB8 and MgB8 are double aromatic systems: π and σ electrons induce strong diatropic currents. The current densities induced in the studied complexes are of very similar intensity, but with a different spatial distribution. The differences in the current density patterns observed for BeB8 and MgB8 arise from the very nature of the bonding interactions between the M atom and B8 fragment, as demonstrated through the energy decomposition analysis.

Magnetic response properties of carbon nano-onions.

The magnetic response of a number of double- and triple-layer carbon nano-onions (CNOs) is analyzed by calculating the magnetically induced current density and the induced magnetic field using the pseudo-π model. Qualitatively the same magnetic response was obtained in calculations at the all-electron level. The calculations show that the CNOs exhibit strong net diatropic (paratropic) ring currents when the external magnetic field points perpendicularly to one of the six-membered (five-membered) rings. They are deshielded inside and shielded outside the CNO; the latter dominates for larger CNOs. The magnetic response originates from a combination of spherical paratropic current densities on the inside of each carbon layer and diatropic current densities on the outside of them. The quantitative differences in the aromaticity of the CNOs as compared to single fullerenes are discussed in terms of ring-current strengths. The magnetic response of some of the CNOs is approximately the sum of the magnetic response of the individual layers, whereas deviations are significant for CNOs containing C80. For the largest CNOs, the deviation from the sum of the fullerene contributions is larger, especially when the external magnetic field is perpendicular to a six-membered ring.

All are aromatic: A 3D globally aromatic cage containing five types of 2D aromatic macrocycles

All are aromatic: A 3D globally aromatic cage containing five types of 2D aromatic macrocycles

The Magnetic Response of Starphenes

The aromaticity of [n]starphenes (n = 1, 4, 7, 10, 13, 16), as well as starphene-based [19]dendriphene, is addressed by calculating the magnetically induced current density and the induced magnetic field, using the pseudo-π model. When an external magnetic field is applied, these systems create diatropic currents that split into a global peripheral current surrounding the starphene skeleton and several local currents in the acene-based arms, resulting in large shielding cones above the arms. In particular, the arm currents are smaller than their linear analogs, and in general, the strengths of the ring currents tend to weaken as the starphene get larger.

Are Metallacyclopentadienes Always Non-Aromatic?

Even though metallacyclopentadienes (MCPs) are among the most common metallacycles, their electron delocalization (aromaticity) has received far less attention than other metallacycles, such as metallabenzenes. We systematically studied the aromaticity of MCPs with energetic (isomerization stabilization energy), density (delocalization index) and magnetic (current density) aromaticity indices. The indices agree that metallacyclopentadienes are, in general, weakly aromatic at most. The 18e− complexes showed the expected weak aromaticity, and only the d8 molecules are somewhat anti-aromatic. However, the theoretical account of the aromaticity of the 16e− MCPs is more convoluted. We find that the aromatic criteria for a 16e−d4 ruthenacyclopentadiene disagree. The lack of agreement shows that significant electron delocalization is not always related to great stability or to strong diatropic currents.

Quantitative analysis of aromaticity in azines by means of dissected descriptors based on the magnetic criteria

The effect of the systematic replacement of a CH group by an N atom in the aromaticity and stability of a benzene is a question in chemistry that has several answers. In this article we will re-examine the aromaticity using the magnetic criteria through ring current strength (RCS) and NICSzz descriptors dissected in their σ and π contributions at DFT level and the relative stability and ΔEgap of azines at the CCSD(T) level. The results are pragmatic and show that, in effect, the replacement of a CH unit by N atom produces a reduction in aromaticity of azines being less aromatic those with more C-N units. This reduction is small so that systems still present large aromatic behaviour. Additionally, it is shown that there is an influence of the local diatropic currents located in the nitrogen atoms therefore the dissected indicators such as RCSπ and NICSπ,zz(1) are those that best describe the aromaticity in azines. Finally, it is observed a trend between RCS values and ΔEgap at the CCSD(T) level which could be explained using the maximum hardness principle. The systemic replacement causes a reduction in the relative stability of azines, and however, there is no direct relationship with aromaticity since it is necessary to take into account the σ effects.

A study on the aromaticity and ring currents of polycyclic neutral oxocarbon isomers

AbstractIn this study, topological resonance energy (TRE) methods and ring current (RC) methods were used to describe the global aromaticity of a series of polycyclic neutral oxocarbon isomers. The observed trends in aromaticity are explained. Our results obtained using the TRE method are compared with those obtained using the nucleus independent chemical shift (NICS) method as reported in the literature. The bond resonance energy (BRE) and circuit resonance energy (CRE) indices were applied to study the local aromaticity of oxocarbons. The aromaticity of the individual rings of each of the polycyclic neutral oxocarbon isomers studied was assessed using the Hückel–London ring current (RC) model. The results regarding the local aromatic and antiaromatic states of the individual rings as obtained using the BRE and CRE indices show direct correspondence with the RC results, which indicate the strength of the diatropic and paratropic currents within those rings.

Periodoannulenes: A Generalized Annulene-within-an-Annulene Paradigm for Combined σ and π Ring Currents.

Periodoannulene molecules and ions CxIxq in planar geometry offer examples of systems with the potential for outer σ and inner π ring-current double aromaticity, given a sufficient overlap of tangential pσ-orbital manifolds on the large atoms of the outer cycle. Previous theoretical work indicated concentric diatropic currents in the dication C6I62+. Ab initio ipsocentric calculations support an account in terms of frontier-orbital selection rules for current contributions in C6I62+ (and radical C6I6+, implicated in recent experimental work on the oxidation of periodobenzene). A σ/π analogue of the annulene-within-an-annulene model is applied here to periodo systems based on cyclooctatetraene. Model species C8I8q with charges q = 0, +1, +2, +4, -2 and structures constrained to a planar D4h symmetry exhibit maps with all combinations of σ/π con- and counter-rotation, comprising global σ ring currents on the iodine perimeter and central π ring currents on the carbocycle. All can be rationalized by the separate application of the tropicity selection rules to the two subsystems, whether in singlet or triplet states.

Reversal of Clar's Aromatic-Sextet Rule in Ultrashort Single-End-Capped [5,5] Carbon Nanotubes.

The three‐fold HOMO‐LUMO gap oscillation, typical of finite length armchair carbon nanotubes (CNT), has a major effect on the magnetic response of ultrashort, single‐end‐capped [5,5] carbon nanotubes to a perturbing magnetic field parallel to the main symmetry axis. For the CNT's containing 40, 70, and 100 carbon atoms, for which 100 % of the C=C double bonds can be grouped into aromatic‐sextets, i. e., fully or complete Clar networks, large paratropic (antiaromatic) global circulations around the cylindrical axis are predicted at the DFT level of calculation. Local and semi‐global diatropic (aromatic) currents of strengths not larger than that of the benzene molecule are determined for a perpendicular perturbing magnetic field. CNTs of intermediate lengths do not display this enhanced antiaromatic response. The paratropic current flow clearly shows that these complete Clar networks can be viewed as stacked cycloparaphenylene belts, each providing a double 4n annulene circuit as a consequence of the quinoidal resonance structure that results from their closure. Paradoxically, the fully aromatic Clar structure itself is responsible for the enhanced global antiaromaticity.

Synthesis of metal-free tetraazaisobacteriochlorin and via template condensation of phthalogenes

The indium(III) complexes of (4-(tert-butyl)phenyl)-substituted tetraazaisobacteriochlorin (TAiBC) and tetraazachlorin (TAC) were synthesized by direct template condensation of bis(4-(tert-butyl)phenyl)fumaronitrile and tetramethylsuccinonitrile using indium(III) ion as a matrix. The corresponding metal-free tetraazaisobacteriochlorin and tetraazachlorin were obtained by demetallation of their indium(III) complexes. These metal-free complexes were characterized using elemental analysis, mass-spectrometry, 1H and [Formula: see text]C{1H}NMR spectroscopy, UV-vis and MCD spectroscopy as well as DFT and TD-DFT calculations. Due to the low symmetry of the molecules, the NMR data were complex, but could be assigned by collecting 1D- and 2D NMR data and comparing with the results of quantum chemical calculations. From the position of the pyrrole proton signal (6.78 ppm), it was found that the diatropic current of TAiBC is much weaker than that of TAC, and plausibly the weakest among porphyrinoids so far reported. Absorption and MCD spectra were reasonably interpreted using the calculated absorption spectra.

Too Persistent to Give Up: Aromaticity in Boron Clusters Survives Radical Structural Changes.

o-C2B10H12 isomerizes to m-C2B10H12 upon heating at 400 °C. Deboronation in o-C2B10H12 is a relatively easy process, whereas it is more difficult in m-C2B10H12. These two experimental facts indicate that m-C2B10H12 is thermodynamically more stable than o-C2B10H12. On the other hand, it is widely accepted that closo-boranes and -carboranes are aromatic compounds. In this work, we relate the difficulty in the deboronation of the carboranes with their stability and aromaticity. We do this by combining lab work and DFT calculations. Computationally, our results show that the higher thermodynamic stability of m-C2B10H12 is not related to aromaticity differences but to the location of the C atoms in the carborane structure. It is also demonstrated that the aromaticity observed in closo-boranes and -carboranes is also present in their nido counterparts, and consequently, we conclude that aromaticity in boron clusters survives radical structural changes. Further, sandwich metallocenes (e.g., ferrocene) and sandwich metallabis(dicarbollides) (e.g., [Co(C2B9H11)2]-) have traditionally been considered to be similar. Here it is shown that they are not. Metallabis(dicarbollides) display global aromaticity, whereas metallocenes present local aromaticity in the ligands. Remarkable and unique is the double probe given by 1H and 11B NMR tracing the reciprocally antipodal endocyclic open face Hec and B1. These magnetic studies have permitted one to correlate both nuclei and relate them to a diatropic current in the plane at the middle of the nido-[C2B9H12]-. This observation is the first unique evidence that proves experimentally the existence of diatropic currents, and thence aromaticity, in clusters and is comparable to the existence of diatropic currents in planar aromatic compounds. Additionally, heteroboranes with two carbon atoms have been compared to heterocycles with two nitrogen or boron atoms, e.g., C2B10H12 carboranes versus planar N2C4H4 diazines or [B2C4H4]2- diboratabenzenes, thereby proving the higher persistence of the aromaticity of the tridimensional compounds in heteroatom-substituted species. This research accounts very well for the "paradigm for the electron requirements of clusters", in which a closo-cluster that is aromatic upon addition of 2e- becomes also an aromatic nido-species, and explains the informative schemes by Rudolph and Williams.