Biradicaloid Character Research Articles

Fused Hexabenzocoronene‐Porphyrin Conjugates with Tailorable Excited‐State Lifetimes

AbstractA new clear‐cut strategy for fusing N‐heterocyclic and carbon‐pure systems is introduced en route to a versatile platform of multi‐purpose tetrapyrrolic chromophores. In particular, three novel C−C bond‐fused porphyrin‐hexabenzocoronene (HBC) conjugates were synthesized under oxidative cyclodehydrogenation conditions, starting from tailor‐made nickel porphyrin precursors. The fusion of the individual aromatic systems via 5‐membered rings led to highly soluble π‐extended porphyrins in excellent yields. The resulting porphyrin‐HBC conjugates exhibit absorption cross‐sections that are of interdisciplinary interest in the ever‐growing field of organic photovoltaics and near‐infrared (NIR) dyes. Quantum chemical calculations show that the newly formed 5‐membered rings induce biradicaloid character in the porphyrin core, which has a strong impact on excited state lifetimes. This is confirmed by a thorough optoelectronic and time‐resolved characterization in order to understand these unique features better. Broadened absorption characteristics go hand‐in‐hand with short‐lived excited states with up to six orders of magnitude faster decay rates.

Fused Hexabenzocoronene-Porphyrin Conjugates with Tailorable Excited-State Lifetimes.

A new clear-cut strategy for fusing N-heterocyclic and carbon-pure systems is introduced en route to a versatile platform of multi-purpose tetrapyrrolic chromophores. In particular, three novel C-C bond-fused porphyrin-hexabenzocoronene (HBC) conjugates were synthesized under oxidative cyclodehydrogenation conditions, starting from tailor-made nickel porphyrin precursors. The fusion of the individual aromatic systems via 5-membered rings led to highly soluble π-extended porphyrins in excellent yields. The resulting porphyrin-HBC conjugates exhibit absorption cross-sections that are of interdisciplinary interest in the ever-growing field of organic photovoltaics and near-infrared (NIR) dyes. Quantum chemical calculations show that the newly formed 5-membered rings induce biradicaloid character in the porphyrin core, which has a strong impact on excited state lifetimes. This is confirmed by a thorough optoelectronic and time-resolved characterization in order to understand these unique features better. Broadened absorption characteristics go hand-in-hand with short-lived excited states with up to six orders of magnitude faster decay rates.

A General Concept for the Electronic and Steric Modification of 1-Metallacyclobuta-2,3-dienes: A Case Study of Group 4 Metallocene Complexes.

The synthesis of group 4 metal 1-metallacyclobuta-2,3-dienes as organometallic analogues of elusive 1,2-cyclobutadiene has so far been limited to SiMe3 substituted examples. We present the synthesis of two Ph substituted dilithiated ligand precursors for the preparation of four new 1-metallacyclobuta-2,3-dienes [rac-(ebthi)M] (M=Ti, Zr; ebthi=1,2-ethylene-1,10-bis(η5-tetrahydroindenyl)). The organolithium compounds [Li2(RC3Ph)] (1 b: R=Ph, 1 c: R=SiMe3) as well as the metallacycles of the general formula [rac-(ebthi)M(R1C3R2)] (2 b: M=Ti, R1=R2=Ph, 2 c: M=Ti, R1=Ph, R2=SiMe3; 3 b: M=Zr, R1=R2=Ph; 3 c: M=Zr, R1=Ph, R2=SiMe3) were fully characterised. Single crystal X-ray diffraction and quantum chemical bond analysis of the Ti and Zr complexes reveal ligand influence on the biradicaloid character of the titanocene complexes. X-band EPR spectroscopy of structurally similar Ti complexes [rac-(ebthi)Ti(Me3SiC3SiMe3)] (2 a), 2 b, and 2 c was carried out to evaluate the accessibility of an EPR active triplet state. Cyclic voltammetry shows that introduction of Ph groups renders the complexes easier to reduce. 13C CPMAS NMR analysis provides insights into the cause of the low field shift of the resonances of metal-bonded carbon atoms and provides evidence of the absence of the β-C-Ti interaction.

Polyradical character assessment using multireference calculations and comparison with density-functional derived fractional occupation number weighted density analysis.

The biradicaloid character of different types of polycyclic aromatic hydrocarbons (PAHs) based on small band gaps is an important descriptor to assess their opto-electronic properties. In this work, the unpaired electron densities and numbers of unpaired electrons (NU values) calculated at the high-level multireference averaged quadratic coupled-cluster (MR-AQCC) method are used to develop a test set to assess the capabilities of different biradical descriptors based on density functional theory. A benchmark collection of 29 different compounds has been selected. The DFT descriptors contain primarily the fractional occupation number weighted electron density (FOD) based on simplified thermally-assisted-occupation density functional theory (TAO-DFT) calculations, but the singlet-triplet energy difference and other descriptors denoted as y0 and nLUNO have been considered as well. After adjustment of the literature-recommended finite temperatures, a very good, detailed agreement between unpaired density and FOD analysis is observed which is also manifested in excellent statistical correlations. The other two descriptors also show good correlations even though the absolute scaling is not satisfactory. A new linear fit of FOD data to the MR-AQCC reference values leads to an improved regression relation for determining the recommended finite temperature value in dependence of the Hartree-Fock exchange. This provides the basis for fast and reliable assessment of the biradical character of many classes of PAHs without the need for performing computationally extended MR calculations.

Computational Study on the Effect of Thienyl π-Donor on the Optical Response of Nonclassical Oligo-Pyrazinothienothiadiazole Biradicaloids.

Computational analyses were performed on nitrogen-rich oligothiadizolothiophenes TTn (n = 0-3) and their four π-donor-substituted derivatives Th-TTn (n = 0-3) to examine the optical response due to geometrical and electronic structural attributes in the longitudinal and transverse axes, respectively. Our results are understood in the context of greater conjugation in the longitudinal axis (via additional fused rings) and substitution of a thienyl π-donor in the transverse axis of the geometry of each derivative. On inspection of the frontier molecular orbitals, we found that the better electron-accepting ability with minimal sacrifice in the ionization potentials results from geometrical aspects in both longitudinal and transverse axes. Due to the narrowed highest occupied molecular orbital-lowest unoccupied molecular orbital gaps, all of the derivatives exhibit a biradicaloid character (BRC) and one-photon panchromatic absorption; however, the open-shell nature weakened the charge transfer characteristics of excitation. In both the series, the odd electron density distributions and electron localization plots amply demonstrate the weakening of ylide character in fused thiophene rings and clearly indicate to the emergence of a long-bond/single BRC in the sulfurdimithide moiety in both series. In addition, the estimated tensor components of the second hyperpolarizability as well as overall responses confirm the shift from the longitudinal to transverse axis following the substitution with the π-donor. Interestingly, the TPA cross sections show comparable behavior, but contrary to γ, π-donor thienyl substitution appears to be discouraging in getting higher TPA responses for higher homologous series. Therefore, this study opens a new conjecture on tuning better nonlinear optical properties of organic functional materials.

Biradicaloid Behavior of a Twisted Double Bond.

A compound with a highly twisted C═C bond in the intermediate bond dissociation region was isolated, and its biradicaloid nature was experimentally demonstrated. A bianthrone derivative substituted with long-chain alkoxy groups was synthesized, and its twisted conformer was assembled into crystals through hydrophobic intermolecular interactions of the introduced alkoxy chains. X-ray crystallography revealed that the C═C bond connecting the two anthrone rings has a long bond length (1.429 Å) and a large torsional angle (57.33°). In addition, ESR studies revealed that the twisted bianthrone has biradicaloid character with a small singlet-triplet energy gap of 23.8 kJ mol-1. The thermally excited triplet species were observed in the ESR spectrum as distinct fine structures along with a ΔMS = ±2 forbidden transition.

Neither too Classic nor too Exotic: One‐Electron Na⋅B Bond in NaBH3− Cluster

It is here reported that the NaBH3 - cluster exhibits a Na⋅B one-electron bond, a well-established type of electron-deficient bonding in the literature. The topological analysis of the electron localization function, at the correlated level, reveals that Na- , when approaching the bonding distance, fairly distributes its valence electron pair between two lobes. One of these electrons is used to bond with BH3 , which participates through its boron empty p-orbital. Furthermore, the bonding situation of LiBH3 - , KBH3 - , MgBH3 , and CaBH3 global minima structures are similar to that of NaBH3 - , extending the family of these new one-electron bond systems with biradicaloid character.

Neither too Classic nor too Exotic: One‐Electron Na⋅B Bond in NaBH3− Cluster

AbstractIt is here reported that the NaBH3− cluster exhibits a Na⋅B one‐electron bond, a well‐established type of electron‐deficient bonding in the literature. The topological analysis of the electron localization function, at the correlated level, reveals that Na−, when approaching the bonding distance, fairly distributes its valence electron pair between two lobes. One of these electrons is used to bond with BH3, which participates through its boron empty p‐orbital. Furthermore, the bonding situation of LiBH3−, KBH3−, MgBH3, and CaBH3 global minima structures are similar to that of NaBH3−, extending the family of these new one‐electron bond systems with biradicaloid character.

Effects on the aromaticity and on the biradicaloid nature of acenes by the inclusion of a cyclobutadiene linkage

Biphenylene is a well-characterized compound that includes the union of both aromatic and antiaromatic units: benzene and cyclobutadiene, respectively. In this work, we extend this structural theme to acene analogues with a cyclobutadiene linkage in a central position. At the single reference domain, perturbation theory and DFT calculations were applied to characterize the electronic structure of the extended biphenylene systems, as well as of some acenes of interest for comparison. Multireference calculations were also used to provide more accurate information about the energetic stability and insights into the radical character. Using descriptors such as the singlet–triplet splitting, the number of effectively unpaired electrons, fractional occupation number weighted density analysis and aromaticity indexes, the different compounds have been compared with respect to biradicaloid character and chemical stability through structural and energetic approaches. The results indicate that biphenylene derivatives should possess similar reactivities and stabilities as their half acenes fragments.

Utilizing Essential Symmetry Breaking in Auxiliary-Field Quantum Monte Carlo: Application to the Spin Gaps of the C36 Fullerene and an Iron Porphyrin Model Complex.

We present three distinct examples where phaseless auxiliary-field quantum Monte Carlo (ph-AFQMC) can be reliably performed with a single-determinant trial wave function with essential symmetry breaking. Essential symmetry breaking was first introduced by Lee and Head-Gordon [ Phys. Chem. Chem. Phys. 2019, 21, 4763-4778, 10.1039/C8CP07613H]. We utilized essential complex and time-reversal symmetry breaking with ph-AFQMC to compute the triplet-singlet energy gap in the TS12 set. We found statistically better performance of ph-AFQMC with complex-restricted orbitals than with spin-unrestricted orbitals. We then showed the utilization of essential spin symmetry breaking when computing the singlet-triplet gap of a known biradicaloid, C36. ph-AFQMC with spin-unrestricted Hartree-Fock (ph-AFQMC+UHF) fails catastrophically even with spin-projection and predicts no biradicaloid character. With approximate Brueckner orbitals obtained from regularized orbital-optimized second-order Møller-Plesset perturbation theory (κ-OOMP2), ph-AFQMC quantitatively captures strong biradicaloid character of C36. Lastly, we applied ph-AFQMC to the computation of the quintet-triplet gap in a model iron porphyrin complex where brute-force methods with a small active space fail to capture the triplet ground state. We show unambiguously that neither triplet nor quintet is strongly correlated using UHF, κ-OOMP2, and coupled-cluster with singles and doubles (CCSD) performed on UHF and κ-OOMP2 orbitals. There is no essential symmetry breaking in this problem. By virtue of this, we were able to perform UHF+ph-AFQMC reliably with a cc-pVTZ basis set and predicted a triplet ground state for this model geometry. The largest ph-AFQMC in this work correlated 186 electrons in 956 orbitals. Our work highlights the utility, scalability, and accuracy of ph-AFQMC with a single-determinant trial wave function with essential symmetry breaking for systems mainly dominated by dynamical correlation with little static correlation.

Interplay of Biradicaloid Character and Singlet/Triplet Energy Splitting for cis-/trans-Diindenoacenes and Related Benzothiophene-Capped Oligomers as Revealed by Extended Multireference Calculations.

The biradicaloid character of different types of polycyclic aromatic hydrocarbons is an important quality that guides the development of new materials with interesting magneto-optical properties. Diindenoacene-based systems represent such a class of promising compounds. In this work, the three types trans-diindenoacenes, cis-diindenoacenes, and trans-dicyclopentaacenobis(benzothiophenes) have been studied by means of advanced ab initio methods. The descriptors singlet/triplet splitting energy (ΔES-T), effective number of unpaired electrons (NU), unpaired electron density, and the harmonic oscillator measure of aromaticity have been used to characterize the biradicaloid properties of these species. For all trans structures, low-spin singlet ground states were found, in agreement with previous investigations. Increasing the length of the inner acene chain decreased the ΔES-T and strongly increased the NU values of the singlet state. The cis-diindenoacenes displayed a greatly increased biradicaloid character, indicating enhanced chemical instability. The thiophene rings in the trans-dicyclopentaacenobis(benzothiophenes) structures were found to simultaneously restrict the unpaired electron density from extending into the terminal six-membered rings and confine the unpaired electron density found in the core benzene rings.

Formation of Cyclophane Macrocycles in Carbazole-Based Biradicaloids: Impact of the Dicyanomethylene Substitution Position

We have recently demonstrated that carbazole-based biradicaloids are promising building blocks in dynamic covalent chemistry. To elucidate their intriguing dynamic covalent chemical properties, it is necessary to understand the physical origin of their biradical nature. To this end, here we focus on two quinoid carbazole systems substituted with dicyanomethylene (DCM) groups via para (p-Cz-alkyl) or meta positions (m-Cz-ph), which are able to form cyclophane macrocycles by the formation of long C–C bonds between the bridgehead carbon atoms linked to the DCM groups. We aim at exploring the following questions: (i) How is the biradicaloid character of a quinoid carbazole affected by the substitution position of the DCM groups? (ii) How is the stability of the resulted cyclophane aggregate attained? (iii) How is the dynamic interconversion between the carbazole-based monomers and cyclophane aggregates affected by this subtle change in the substitution pattern position? Density functional theory-based calcula...

Interplay between Aromaticity and Radicaloid Character in Nitrogen-Doped Oligoacenes Revealed by High-Level Multireference Methods.

Aromaticity is a multivariable concept in organic chemistry that plays a central role for understanding the structure, stability, and reactivity of polycyclic aromatic hydrocarbons (PAHs). Several types of PAHs are characterized as singlet biradicaloid species and their chemical stability is intimately linked to the degree of aromatic character. In this study, theoretically designed routes to tune the biradical character (and thereby its chemical stability) of nitrogen-substituted octacenes have been investigated on the basis of the high-level multireference averaged quadratic coupled-cluster MR-AQCC method necessary for the appropriate description of polyradicaloid systems. The influence of nitrogen centers on the aromaticity of octacene is probed through structural (HOMA) and electron localization (ELF) indices by comparing the N- against NH-doping cases. These analyses reveal that the aromaticity and biradical character of octacene is only slightly affected by replacing one pair of CH groups with N atoms, i.e., by N-doping. However, a significant aromatic stabilization can be obtained when NH-doping is applied at the inner octacene rings; this is also accompanied by an overall decrease of the open-shell character, as evidenced by the gradual quenching of the unpaired electrons and increase in the singlet-triplet splittings when the NH doping groups are moved toward the center of the octacene molecule. Our findings aid in the rational design of new PAH compounds with balanced biradicaloid character and chemical stability which is important, e.g., for practical applications in organic solar cells based on the singlet-fission mechanism.

Molecular Engineering and Structure-Related Properties of Squaraine Dyes Based on the Core and Wings Concept.

Three new squaraine-based functional π-conjugated molecules were synthesized considering the core and wings concept. The molecules, SQ-DICN, SQ-DIEt-RH, and SQ-DICN-RH, were end-capped with three different wings, such as malononitrile, 2-(3-hexyl-4-oxothiazolidin-2-ylidene)malononitrile, and 3-ethyl-2-thioxothiazolidin-4-one. Among the three dyes, SQ-DICN-RH showed the highest molar extinction coefficient. The photoluminescence of all the dyes showed an opposite trend to that of the absorption maximum. The electrochemical results showed that the lowest unoccupied molecular orbital level of all the dyes ranged from −3.72 to −3.82 eV, whereas the highest occupied molecular orbital ranged from −4.89 to −4.94 eV. Solvatochromism was carried out to observe the effects of the solvent containing the dyes. The electronic structure of the dyes was examined using ab initio simulations. The dyes were characterized theoretically, and the red-shifted absorption of SQ-DICN-RH was explained and correlated with its biradicaloid character and singlet–triplet energy gap.

Tuning the Biradicaloid Nature of Polycyclic Aromatic Hydrocarbons: The Effect of Graphitic Nitrogen Doping in Zethrenes.

Zethrenes are interesting polycyclic aromatic hydrocarbons (PAHs), which possess unique optoelectronic and magnetic properties because of their singlet open-shell biradicaloid character, making them promising candidates for application in organic electronics. Tuning their properties is a key task in order to develop efficient compounds for practical use by balancing the desired biradicaloid character against its chemical instability. In this work, high-level theoretical multireference methods appropriate for the correct description of polyradicaloid systems are used to develop rules for doping of zethrenes by means of nitrogen taking heptazethrene (HZ) as a benchmark example. The results of the quantum chemical calculations have been concentrated on a series of quantitative descriptors such as unpaired densities and singlet-triplet (S-T) splittings. They clearly indicate different regions in the HZ where N-doping can either lead to strong enhancement of the biradicaloid character or to strong quenching towards a closed shell state. A wide scale of varying open-shell character is accessible from the different doping positions. It is shown that the S-T splittings correlate well with the total number of unpaired electrons in the medium range of biradicaloid character. For pronounced biradical character the S-T splitting decays to about zero with a margin of ±0.15 eV. In the opposite closed-shell limit, much larger S-T splittings of up to 3 eV are computed.

Biradicaloid and Zwitterion Reactivity of Dicarbondiphosphide Stabilized with N-Heterocyclic Carbenes.

Organic biradicals are usually very short lived species under standard laboratory conditions, which makes their experimental studies difficult. In contrast, heteroatom-substituted analogues of these biradicals show enhanced stability due to π-electron delocalization, which is why main group biradicals (or biradicaloids) of archetypical heterocyclobutanediyls have been thoroughly investigated. Herein, N-heterocyclic carbene (NHC)-stabilized dicarbondiphosphide compounds of the type (L2 )C2 P2 (L=NHC) were utilized to activate both single and multiple bonds in small molecules with a feasible concerted mechanism. This reactivity is explicable by considerable biradicaloid character of the dicarbondiphosphide compounds, which is further corroborated by theoretical studies. Furthermore, the dicarbondiphosphide compounds also exhibited Lewis base properties towards Lewis acids, such as borane and metal halides.

Meeting the Challenging Magnetic and Electronic Structure of Thiophene-Based Heterophenoquinones

Two thiophene-based heterophenoquinones, representing a family of molecules that exhibit biradicaloid character, have been studied by a combination of electron paramagnetic resonance (EPR), nuclear magnetic resonance (NMR), Raman, infrared (IR), and synchrotron or single-crystal X-ray diffraction measurements. This combined approach provided a detailed picture of the previously unknown electronic structure of the molecules in terms of two nearby states: a closed-shell diamagnetic state and a nearby biradical state, which is thermally populated.

Electron Delocalization in Reduced Forms of 2-(BMes2)pyrene and 2,7-Bis(BMes2)pyrene.

Reduction of 2-(BMes2)pyrene (B1) and 2,7-bis(BMes2)pyrene (B2) gives rise to anions with extensive delocalization over the pyrenylene bridge and between the boron centers at the 2- and 2,7-positions, the typically unconjugated sites in the pyrene framework. One-electron reduction of B2 gives a radical anion with a centrosymmetric semiquinoidal structure, while two-electron reduction produces a quinoidal singlet dianion with biradicaloid character and a relatively large S0-T1 gap. These results have been confirmed by cyclic voltammetry, X-ray crystallography, DFT/CASSCF calculations, NMR, EPR, and UV-vis-NIR spectroscopy.

Effect of electron withdrawing groups on near infrared absorption of quinaldine-based squaraine dyes

The quinaldinium salt possessing electron withdrawing (-COOEt) groups was condensed with squaric acid giving the quinaldine based symmetrical squaraine dye. Effect of electron withdrawing group on near infrared absorption of the squaraine dye has been studied. Results showed that electron withdrawing group shifts bathochromically the absorption wavelength of squaraine dye by 31 nm when compared with the unsubstituted dye. Computational studies were performed in order to understand the charge transfer and red shift and later have been attributed to the increased biradicaloid character.

Planarization, fusion, and strain of carbon-bridged phenylenevinylene oligomers enhance π-electron and charge conjugation: a dissectional vibrational Raman study.

We have used Raman spectroscopy to study the molecular and electronic structures of the radical cations and dications of carbon-bridged oligo(para-phenylenevinylene)s (COPVn, n = 1-6) possessing consecutive fused pentagons and hexagons, up to 19, along with COPV derivatives having electron-donating and -withdrawing groups. This study was made possible by the outstanding stability of the charged states of COPVs. We could untangle the effects of π-conjugation in the planar structure on the Raman frequency by distinguishing it from other structural effects, such as strain in the vinylene groups shared by the two pentagons. The analyses showed that the radical cations have benzo-quinoidal structures confined in the center of the molecule, as well as benzo-aromatic rings at the terminal sites. In contrast, dications of COPVn longer than n = 3 exhibit a biradicaloid character because of the recovery of aromaticity in the central rings and quinoidal rings at the terminal positions. These biradicaloids favor a singlet nature in their ground electronic states because of the double spin polarization. The introduction of electron-donating and -withdrawing groups on the termini of a COPV core affords, upon oxidation or reduction, a fully delocalized class III mixed valence system because of the high degree of conjugation of the COPV platform, which favors extensive charge delocalization.