Open Access Article
Joseph A. Mandigo†
a,
Shaun R. Kelsey†
a,
Jason C. Applegate
a,
Rene C. Sabala
a,
Monisola K. Dairo
a,
Carben R. Weghorn
a,
Raina Faira,
Cindy L. Berrie
*a,
Ward H. Thompson
*a,
Daron E. Janzen
b and
Mikhail V. Barybin
*a
aDepartment of Chemistry, University of Kansas, Lawrence, KS 66045, USA. E-mail: mbarybin@ku.edu; cberrie@ku.edu; wthompson@ku.edu
bDepartment of Chemistry and Biochemistry, St. Catherine University, St. Paul, MN 55105, USA
First published on 11th February 2026
Quantitative appreciation of electronic substituent effects is beneficial across the chemical sciences, from reaction kinetics and catalysis to functional materials design and enzymatic processes. While Hammett parameters (σ constants) constitute the most widely invoked paradigm, their determination for structurally complex functional groups is often impractical by traditional empirical means. Herein, we demonstrate that the reversible one-step, 2-e− reduction of linearly functionalized 1,1′,3,3′-tetraethoxycarbonyl-6,6′-biazulene provides a simple electrochemical readout of effective Hammett constants. By design, the values obtained align closely with the conventional σp descriptors pertaining to benzenoid systems. This approach not only helps reevaluate previously reported Hammett values but also quantifies the role of intramolecular hydrogen bonding (e.g., C
O⋯H–S) and enables determining effective σ constants (σeff) for “designer” functional groups, such as –SAuPPh3 and –NCCr(CO)5. Moreover, the long-range net electron donor/acceptor influence of the substituents –S−, –SAuPPh3, –SH, –SCH2CH2CO2CH2CH3, and –NCCr(CO)5 on the [(–NC)Cr(CO)5] 13C NMR reporter across the 6,6′-biazulenic π-linker was unveiled through inverse-linear δ(13COtrans) vs. δ(13CN) and δ(13COcis) vs. δ(13CN) correlations. The π-communication along the molecular axis of the 6,6′-biazulenic scaffold was further confirmed via Reflection-Absorption Infrared (RAIR) spectroscopic analysis of [(OC)5Cr(η1-2-isocyano-2′-mercapto-1,1′,3,3′-tetraethoxycarbonyl-6,6′-biazulene)] self-assembled on the Au(111) surface. By uniting redox tunability with rigorous linear free-energy correlations, this work offers both a versatile molecular platform and a straightforward electrochemical strategy for expanding and refining the Hammett parameter domain.
To address the above challenges, our group has turned to 6,6′-biazulene—a π-extended, nonbenzenoid aromatic framework featuring two linearly connected azulenyl units—as a molecular platform for quantifying substituent effects. 6,6′-Biazulene (Fig. 1a) exhibits complementary orbital density distributions in its frontier molecular orbitals: the Highest Occupied Molecular Orbital (HOMO) is distributed over the odd-numbered carbon atoms, whereas the Lowest Unoccupied Molecular Orbital (LUMO) has a π* topology with non-zero orbital density at the even-numbered positions (Fig. 1b). Consequently, functionalization at the 2,2′-carbon atoms of the 6,6′-biazulenic scaffold selectively perturbs the energy of the LUMO whilst leaving the HOMO largely unaffected, therefore enabling tunability of the platform's reduction potential.
![]() | ||
| Fig. 1 (a) 6,6′-Biazulene and its atom numbering scheme. (b) Highest occupied and lowest unoccupied molecular orbitals of 6,6′-biazulene. | ||
Of special note, the one-step, two-electron reduction of the 6,6′-biazulenic core30–35 proceeds under a rare regime of reduction potential inversion.36–38 Such distinctive behaviour not only simplifies the electrochemical readout by yielding a single, well-defined redox couple but also enhances the sensitivity of the system to even subtle substituent-induced perturbations in electronic structure. To the best of our knowledge, the 6,6′-biazulenic scaffold is the only one among currently accessible positional biazulene isomers39 that supports a one-step, two-electron reduction profile. Fig. 2 shows that the sum of literature σp values for our original series40 of seven symmetrically and unsymmetrically substituted derivatives of 1,1′,3,3′-tetraethoxycarbonyl-6,6′-biazulene varies linearly with the half-wave potentials (E1/2), providing a reliable calibration plot that anchors the study reported herein. The intrinsic boundaries of the relationship are determined by the CH2Cl2/nBu4NPF6 electrolyte solution window used in our electrochemical studies (ca. −2 to +2 V vs. SCE with E1/2(Cp2Fe0/Cp2Fe+) = 0.46 V).41,42
![]() | ||
| Fig. 2 A plot of the combined σp Hammett parameters of the substituents X and X′ vs. the half-wave potential (E1/2) for the 2-e− reduction of 2,2′-functionalized 6,6′-biazulenes. | ||
Notably, the σp values used in this plot were determined from the experiments conducted in aqueous media, such that the σp constant of −0.66 (ref. 26) for the –NH2 substituent inherently includes the contribution from solvation-induced hydrogen bonding. On the other hand, 2,2′-diamino-1,1′,3,3′-tetraethoxy-carbonyl-6,6′-biazulene engages in intramolecular H-bonding interactions between its amino and carboxylic ester groups, as evidenced by a markedly deshielded 1H NMR resonance at δ(NH2) = 7.88 ppm34 compared to 4.58 ppm for 2-aminoazulene in CDCl3 (Fig. S29). Thus, the H-bonding in this molecule may be regarded as a structural surrogate for solvent-mediated stabilization affecting the –NH2 functional group in aqueous environments.
Building on this recently established linear free-energy relationship, we set out to implement the reverse Hammett analysis by considering electrochemical signatures of the 1,1′,3,3′-tetraethoxycarbonyl-6,6′-biazulenic core to extract effective σ values (σeff) for electronically and structurally complex functional groups such as –SAuPPh3 and –NCCr(CO)5 that should map directly onto the conventional σp scale.
O⋯H–S hydrogen bonding in both solution and solid state, as evidenced by a substantially deshielded mercapto 1H NMR resonance (δ = 7.78 ppm in CDCl3, Table S2), a low energy νSH stretch at 2474 cm−1, and two distinct νC
O bands at 1689 and 1653 cm−1 (KBr pellet). Deprotonation of 3 with excess 1,8-diazabicyclo[5.4.0]undec-7-ene (DBU) generated the deeply purple-coloured dianionic intermediate 3*, which underwent clean methylation to give microcrystalline, dark red 2,2′-methylthio-1,1′,3,3′-tetraethoxy-carbonyl-6,6′-biazulene (4) in quantitative yield.
The 1H NMR resonances for H4,4′,8,8′ and H5,5′,7,7′ in 3* appear substantially upfield relative to those of either 3 or 4 (Fig. 3). Although the direct synthesis of 4 via nucleophilic substitution of the Cl termini in 1 using NaSMe (1
:
2) is conceptually feasible,44 the operational drawbacks associated with the notoriously malodorous NaSMe reagent render the three-step, high-yielding sequence 1 → 2 → 3 → 4 the more practical alternative. In contrast to the methylation, treatment of in situ-generated 3* with 2 equiv. of Ph3PAuCl produced a bright red solution of the bimetallic complex 5, which crystallized as a lustrous dark yellow solid (Scheme 1).
The solid-state structure of 4 reveals a three-component disorder of one of its SMe substituents with 50
:
31
:
19 positional occupancies (Fig. S57). The major conformer is depicted in Fig. 4. The interplanar angle between the two azulenic units of 39.7(3)° in 4 is the most acute among such parameters documented for all other crystallographically characterized 6,6′-biazulenes (typical range: 43.5–66.9°).40 This comparison, however, should be interpreted with caution, as such torsional parameters are inherently influenced by crystal-packing forces. The SMe groups themselves are mildly twisted relative to the adjoining 2-azulenyl units, with dihedral angles of ca. 26 ± 1° in the major conformer.
Inspired by Nozoe's classical preparation of 2-(N,N-dimethylamino)-1,3-diethoxycarbonylazulene,45 refluxing a purple solution of 1 with dimethylamine in EtOH/H2O cleanly delivered 2,2′-(N,N-dimethylamino)-1,1′,3,3′-tetraethoxy-carbonyl-6,6′-biazulene (6) upon workup. Unlike many other 6,6′-biazulenes, this blood-red, air- and thermally-stable solid displays surprisingly good solubility in most organic solvents.
Schemes 2 and 3 outline our modular access to asymmetrically 2,2′-functionalized 6,6′-biazulenes that capitalizes on the Suzuki–Miyaura cross-coupling approach.46 Purple-coloured 2-chloro-1,3-diethoxycarbonyl-6-pinacolato-borylazulene (7)47 served as a convenient precursor to access scarlet 2-ethoxycarbonylethylthio-1,3-diethoxycarbonyl-6-iodoazulene (9) via isolable dark purple 2-ethoxycarbonyl-ethylthio-1,3-diethoxycarbonyl-6-pinacolatoborylazulene intermediate (8). Coupling of 7 and 9 under Pd(PPh3)4 catalysis provided dark red 10, bearing SCH2CH2CO2Et and Cl substituents along the molecular axis. Further, sand-brown 2-mercapto-2′-chloro-6,6′-biazulene 11 and dark maroon 2-methylthio-2′-chloro-6,6′-biazulene 12 were prepared from 10 using the methods established above for the syntheses of 3 and 4, respectively (Scheme 2).
Syntheses of 6,6′-biazulenes featuring the [(–NC)Cr(CO)5] spectroscopic reporter at one of their termini are shown in Scheme 3. The Pd0-catalyzed cross coupling of bright orange (OC)5Cr(2-isocyano-1,3-diethoxycarbonyl-6-bromoazulene)48 with 8 afforded the corresponding deep brown biazulenic intermediate 14, which was then converted to brown 2-isocyano-2′-mercapto-6,6′-biazulene derivative 15. Species 15 represents an exceedingly scarce example of a compound containing both mercapto- and isocyano functionalities in the same molecule.48 Metalation of the SH terminus of 15 with Ph3PAuCl in the presence of NaOEt gave the plum-coloured heterobimetallic Cr0/AuI complex 16.
C hydrogen-bonding interactions43,50 present in 3. Consistent with this hypothesis, our DFT calculations indicate that disrupting such H-bonding interactions (modeled by rotating each S–H bond out of the plane of the corresponding azulenyl unit) lowers the energy of the biazulene LUMO (Fig. S59). To probe the role of the above hydrogen bonding experimentally, we replaced the hydrogen atoms of the –SH groups with methyl substituents. The resulting bis(methylthio)-substituted biazulene 4 undergoes a two-electron reduction at E1/2 = −1.30 V, corresponding to σeff(SMe) = −0.03. This value closely matches σp(SMe) = 0.0 originally reported by McDaniel28 and later compiled in the comprehensive Hammett parameter tables by Hansch,26 lending further support to our interpretation.
a
Importantly, the E1/2 potential associated with the 2-e− reduction of asymmetrically –SH/–Cl functionalized biazulene 11 constitutes the average of the E1/2 values determined for the symmetrically substituted 2,2′-dimercapto and 2,2′-dichloro derivatives 1 and 3 (Fig. 5, Tables 1, 2, and S4). Similarly, the reduction of 12 featuring asymmetric –SMe/–Cl substitution is exactly half-way between those of 1 and 4 (Tables 1 and 2).
![]() | ||
| Fig. 5 Cyclic voltammograms of 1 (purple), 3 (green), and 11 (black) in 0.1 M [nBu4N]+[PF6]−/CH2Cl2 vs. external Cp2Fe0/+ at 22 °C. Scan rate 100 mV s−1. | ||
a,b
Linear free-energy relationships are rarely stress-tested against substituents that fall well outside the classical functional group palette. To assess the limits and transferability of the correlation uncovered in Fig. 2, we therefore extended our electrochemical Hammett analysis to 6,6′-biazulenes bearing “designer” substituents –SAuPPh3 and –NCCr(CO)5. These moieties are anticipated to exert very different net electron donating/withdrawing influences. Notably, our previous X-ray crystallographic analyses of several complexes featuring the (OC)5Cr(2-isocyano-1,3-diethoxycarbonylazulene) motif indicate that the C–N–C–Cr unit invariably assumes a nearly linear geometry, with minimal steric hindrance between the CO2Et and Cr(CO)5 fragments.35,48,51–53 The 6,6′-biazulene 5 featuring –SAuPPh3 termini undergoes reduction at E1/2 = −1.48 V, which allowed to extract the σeff value of −0.36 for the –SAuPPh3 substituent. This quantitative observation reflects the significantly enhanced net electron-donating character of –SAuPPh3 vs. –SH (Tables 1 and S4). On the other hand, reduction of the 6,6′-biazulenic core terminated with –NCCr(CO)5 groups along its molecular axis in 17 occurs at E1/2 = −1.00 V,35 which yields σeff[–NCCr(CO)5] = +0.56. This is consistent with the Cr(CO)5 fragment exerting a net electron withdrawing effect on the isocyano substituent (cf. σp = +0.49 (ref. 26) for the uncomplexed isocyano group). The 9 cm−1 hypsochromic shift of the νNC IR band upon complexation of free 2,2′-diisocyano-1,1′,3,3′-tetraethoxy-carbonyl-6,6′-biazulene (νNC = 2127 cm−1 in CH2Cl2) to form homobimetallic 17 (νNC = 2136 cm−1 in CH2Cl2) nicely mirrors the above conclusion as well.34,35
To test whether the σeff constants for –SAuPPh3 and –NCCr(CO)5 would abide the linear free-energy paradigm established by the calibration plot in Fig. 2, we considered the 2-e− reduction behaviour of asymmetrically-functionalized 6,6′-biazulenes 15, 16, and 18 (Tables 2 and S4). The one-step, 2-e− reduction of 15 bearing the –NCCr(CO)5 and –SH groups along its molecular axis occurs at −1.16 V. Gratifyingly, this value is precisely the average of the E1/2 potentials that we documented for the reductions of symmetrically-substituted congeners 3 and 17. Similarly, 18 undergoes reduction at E1/2 = −1.14 V, which is exactly in between the E1/2 values observed for the reductions of 17 and 1,1′,3,3′-tetraethoxycarbonyl-6,6′-biazulene.40 Finally, the heterobimetallic species 16 is reduced at E1/2 = −1.24 V—quite close to the predicted value of −1.26 V inferred from the redox profiles of homobimetallic 5 and 17 (Tables 1 and 2).
We next turned to dimethylamino substitution, which represents a canonical class of strong π-electron donors in classical Hammett analyses.26 Examination of the –NMe2-functionalized biazulene allows a direct comparison between established substituent expectations and the experimentally observed redox response. This case is particularly intriguing because steric repulsion between the –NMe2 and –CO2Et groups in 6 twists the –NMe2 substituents out of optimal π-conjugation with the biazulenic core by ca. 32 ± 2° (Fig. 6), thereby likely diminishing their mesomeric electron-donating contributions to σeff. The E1/2 potential associated with the 2-e− reduction of the bis(N,N-dimethylamino) derivative 6 is 50 mV less negative than that documented for 2,2′-diamino-1,1′,3,3′-tetraethoxycarbonyl-6,6′-biazulene34 (Table 1 and Fig. 7). According to our calibration plot in Fig. 2, the effective Hammett σ constant for the –NMe2 substituent is predicted to be −0.57, which is identical to the σp value of −0.574 obtained by Gilman and Dunn54 through the alkaline hydrolysis of p-N,N-dimethylamino functionalized ethyl benzoate. However, the fact that 6 is easier to reduce than its diamino-functionalized congener may be perceived as counterintuitive in light of the typical view that –NMe2 is a stronger net electron donor than –NH2. This observation can be rationalized by two factors that affect E1/2 in opposite directions. First, intramolecular hydrogen-bonding interactions in 2,2′-diamino-1,1′,3,3′-tetraethoxycarbonyl-6,6′-biazulene render the –NH2 substituents more electron donating, which further raises the energy of this biazulene's LUMO. Second, the steric congestion illustrated in Fig. 6 somewhat weakens π-conjugation of the –NMe2 groups with the biazulenic scaffold. Such mode of steric and conformational attenuation of donor strength echoes Nozoe's observation that 2-(N,N-dimethylamino)-1,3-diethoxycarbonyl-azulene is inert toward electrophilic aromatic substitution with Br2 at the 6-position of the azulenic core, whereas 2-aminoazulene easily undergoes such bromination.45,51 Moreover, in the electrochemical context, Stahl, Hammes–Schiffer, and co-workers showed that bulky substituents at the 2,3- or 5,6-positions of quinones led to one-electron reduction potentials that are shifted to more positive values than anticipated from linear Hammett correlations.6
![]() | ||
| Fig. 6 (a) DFT-optimized molecular structure of 6 (B3LYP/6-31+G*, CH2Cl2 medium). (b) A Newman projection of a Me2N-azulenyl moiety with the CO2Et groups truncated. | ||
![]() | ||
| Fig. 7 Cyclic voltammograms of 6 (red) and 2,2′-diamino-1,1′,3,3′-tetraethoxycarbonyl-6,6′-biazulene (blue) in 0.1 M [nBu4N]+[PF6]−/CH2Cl2 vs. external Cp2Fe0/+ at 22 °C. Scan rate 100 mV s−1. | ||
Table S3 and Fig. 8 and S31 illustrate how electronic perturbations introduced by substituents X (X = –S−, –SAuPPh3, –SCH2CH2CO2CH2CH3, –SH, –N
CCr(CO)5) at one terminus of the linear 6,6′-biazulenic framework modulate the electron density at its other end featuring the [(–NC)Cr(CO)5] 13C NMR reporter. The 13C chemical shifts within the [(–NC)Cr(CO)5] moiety reflect electron richness of the Cr centre, which is influenced by the nature of the remote substituent X. A raise in the net electron-donating strength of X (–S− > –SAuPPh3 > –SCH2CH2CO2CH2CH3 ≈ –SH > –N
CCr(CO)5) decreases δ(13CN), with a concomitant increase in δ(13CO) due to enhanced Cr(dπ) → CO(pπ*) back-bonding.55 The δ(13COtrans) or δ(13COcis) versus δ(13CN) inverse-linear correlations (Fig. 8 and S31, respectively) exhibit excellent linearity. Thus, the 13C NMR data quantitatively capture subtle, long-range substituent effects without relying on any vibrational metrics, establishing the [(–NC)Cr(CO)5] fragment as a highly sensitive reporter of π-mediated electron delocalization across the 6,6′-biazulenic scaffold.
![]() | ||
| Fig. 8 Plot of δ(13COtrans) vs. δ(13CN) chemical shifts (in CDCl3) for the [–NCCr(CO)5] moiety in complexes of functionalized 2-isocyanobiazulene ligands. | ||
Formation of the Au–S interface is evidenced by the disappearance of the weak νSH band of 15,59 and by pronounced changes in the νCO region. DFT calculations48 and a large body of experimental evidence48,52,55 suggests that for complexes [(OC)5Cr(CNR)] in an isotropic environment (i.e., solution phase), one of the two IR-active νCO bands of A1 symmetry is typically obscured by a much more prominent νCO band of E symmetry. Upon approximately terminal-upright chemisorption, the νCO(E) band, which reflects vibration of the cis-CO ligands within the C4v-symmetric [Cr(CO)5L] unit, diminishes markedly to uncover the νCO(A1(2)) feature (Fig. S60b and c). The νCO(A1(2)) band arises chiefly from vibration of the trans-CO unit.48,52 In addition, the relative intensity of the νCO(A1(1)) band, which corresponds to the “breathing” mode of vibration of all five COs, decreases. These observations indicate preferential alignment of cis-CO oscillators parallel to the surface and suppression of the νCO(E) absorption under the surface IR selection rules.60
When SAMs of 15 are instead generated via displacement of the isocyanide-anchored biazulenic film shown in Fig. 9a,35 the νCO(E) band nearly disappears, and the broad νNC band at 2175 cm−1 (gold-bound isocyanide) vanishes altogether, confirming replacement of the chemisorbed isocyanobiazulene by mercaptobiazulene (Fig. 9b and c). Thus, the monolayer displacement route produces a more vertically-packed film, likely reflecting steric confinement of the vacated surface sites61,62 that are accessible only to vertically approaching molecules of 15.
Both A1-symmetric νCO bands of 15 undergo hypsochromic shifts upon SAM formation, with the νCO(A1(2)) feature moving up by 23 cm−1 (Fig. S60b and c). This shift exceeds the experimental uncertainty in its νmax value in the solution spectrum and suggests reduced Cr(dπ) → CO(pπ*) back-bonding in the SAM relative to free 15. The diminished electron richness of the Cr(0) centre arises from S(3p) → Au π-bonding, which enhances the net acceptor character52 of the isocyanobiazulene ligand. Thus, the thio-linked Au(111) surface acts as an electron-withdrawing moiety35,48 transmitting its effect through the biazulenic π-linker to the distal Cr(0) site, approximately 2 nm away. In contrast, the –SAuPPh3 fragment in the related heterobimetallic complex 16, with the anticipated bent C–S–Au angle,50 behaves as a net electron donor (Fig. 8). The above observations demonstrate that 6,6′-biazulene can serve as a molecular relay, communicating spectroscopically discernible electronic perturbations from a metallic surface to a remote metal centre.
O⋯H–S hydrogen bonding, which rendered the effective σ parameter for the mercapto group more negative than the commonly accepted σp value, reflecting its increased electron-donating capacity imparted through such non-Pauling H-bonding interaction.63 Furthermore, considering the –NMe2 substituent as a case study afforded direct access to its effective Hammett constant. A mild steric repulsion with the ethoxycarbonyl groups in 6 diminishes π-conjugative donation of –NMe2, surprisingly leading to σeff(NMe2) > σeff(NH2). Finally, we demonstrated how the [–NCCr(CO)5] fragment serves as a highly responsive 13C NMR and RAIR reporter, providing complementary insight into electron delocalization across the 6,6′-biazulenic π-linker.
Taken together, the synthetic, electrochemical, and spectroscopic findings reported herein offer an experimentally robust platform for systematically quantifying substituent effects. This platform transcends the classical benzenoid σp paradigm while remaining numerically anchored to it by design. By further enabling predictive mapping of electronic influence, our approach expands the palette for tailored design of redox-active molecules, π-linked materials, and electronically coupled interfaces. In a broader context, the 1,1′,3,3′-tetraethoxy-carbonyl-6,6′-biazulenic platform is most valuable for interrogating any substituents whose electronic influence is dominated by inductive effects rather than mesomeric π-conjugation, as well as for π-conjugating substituents that experience minimal steric interference. Our current efforts are directed toward the development of a second-generation 6,6′-biazulenic framework designed to avoid intramolecular hydrogen bonding and steric contributions, thereby further refining the extraction of effective Hammett σ values.
Full experimental details, characterization and computational data are provided in the supplementary information (SI). Supplementary information is available. See DOI: https://doi.org/10.1039/d6ra00120c.
Footnote |
| † J. A. M. and S. R. K. contributed equally to this work. |
| This journal is © The Royal Society of Chemistry 2026 |