Stable 2D anti-ferromagnetically coupled fluorenyl radical dendrons

The first class of stable two-dimensional anti-ferromagnetically coupled dendritic polyradicaloids was synthesized, which show polyradical character and unique properties.


Introduction
Spin-spin exchange interaction in organic diradicals and polyradicals fundamentally determines their magnetic properties and material applications. 1 While ferromagnetic (FM) coupling usually leads to a high-spin ground state which is of importance for organic magnets, 2 anti-ferromagnetic (AFM) exchange interaction helps to enhance electronic conjugation between the radicals and results in remarkable optical, electronic and magnetic properties as recently demonstrated in many open-shell singlet diradicaloids and polyradicaloids. 3 Topologically, the radicals can be linked in linear, macrocyclic, star-branched, and even dendritic motifs, and the topological symmetry determines the spin multiplicity of the polyradicals. Among them, dendritic polyradicals are particularly interesting as they provide twodimensional (2D) multiple spin-spin interactions. Rajca's group and Iwamura's group independently developed dendritic polyarylmethyl radicals 4 and polycarbenes, 5 respectively, both showing strong FM coupling between the neighbouring radicals with a high-spin ground state. However, these dendritic polyradicals are kinetically unstable and they can only be generated and analysed in situ in an inert atmosphere at low temperature. On the other hand, AFM coupled polyradicaloids show much better stability due to the bonding interaction between the radicals and recently, stable linear 6 and macrocyclic polyradicaloids 7 have been successfully prepared. However, to the best of our knowledge, stable AFM coupled dendritic polyradicaloids remain unknown. It was previously demonstrated that the uorenyl radical became stable if the 9-position was kinetically blocked by a bulky anthryl group, such as FR-G0 in Fig. 1. 6,8 Therefore, we designed the dendritic triradicaloid FR-G1 and heptaradicaloid FR-G2 ( Fig. 1), in which the 3,6-positions of the inner uorenyl radical are directly linked to the 9-position of the outer uorenyl radicals. They can be regarded as the rst and second generation uorenyl radical mono-dendron, respectively. The 9-position of the core uorenyl unit is kinetically blocked by a bulky 9-(3,5-ditert-butylphenyl)anthryl and the 3,6-positions of the outermost uorenyls are blocked by 4-tert-butylphenyl groups. In addition, the inner uorenyl unit itself serves as a kinetic blocking group for the outer uorenyl radicals. Notably, the neighbouring uorenyl units can form AFM bonding by losing one aromatic sextet ring (the hexagon shaded by blue colour) and generation of a para-quinodimethane unit (Fig. 1). As a result, monoradical and triradical/pentaradical resonance forms can also be drawn for FR-G1 and FR-G2, respectively. These 2D AFM coupled and kinetically protected uorenyl radical dendrons are supposed to be stable and exhibit interesting physical properties. They are also signicantly different from the reported polyphenylene dendrimers 9 or polyphenylacetylene dendrimers, 10 in which the p-conjugation is usually interrupted at the branch points due to the large distortional angle between the phenyl units or meta-phenyl linkage.

Synthesis
The key synthetic strategy toward FR-G1 and FR-G2 is to build up the corresponding dendritic precursors with a hydroxy or a methoxy group at the 9-methylene positions, followed by reduction (Scheme 1). A divergent synthetic route was used starting from the 3,6-dibromo-uorenyl ether 1. 6 Lithiumbromine exchange of 1 with 2.2 equivalents n-butyllithium followed by quenching with 2.5 equivalents 3,6-bis(4-tert-butylphenyl)-9H-uoren-9-one 11 gave the alcohol precursor 2 in 41% yield. Reduction of 2 by SnCl 2 in dry dichloromethane (DCM) at room temperature afforded the targeted compound FR-G1 as a purple solid in 57% yield aer purication by normal silica gel chromatography. Compound FR-G1 is stable, and a half-life time of about 143 h was determined in DCM solution upon exposure to the ambient air and light conditions as monitored by UV-vis-NIR absorption spectroscopy ( Fig. S1 in the ESI †). On the other hand, addition of 3,6-dibromo-9H-uoren-9one into the aryl lithium salt of 1 gave the di-alcohol intermediate, and the hydroxy groups were then protected by methylation with iodomethane to give tri-ether 3. Similarly, lithiumbromine exchange of 3 with 6.0 equivalents n-butyllithium followed by reaction with 8.0 equivalents 3,6-bis(4-tert-butylphenyl)-9H-uoren-9-one afforded the precursor 4, which was carefully puried by preparative gel permeation chromatography. Treatment of compound 4 with SnCl 2 in dry DCM followed by silica gel column chromatography successfully gave the target compound FR-G2 as a purple solid in 40% yield. FR-G2 is also a stable compound but with a slightly shorter half-life time (102 h) in DCM compared to FR-G1 under the same ambient air and light conditions ( Fig. S1 in the ESI †). Due to the existence of unpaired electrons, the aromatic resonances in the 1 H NMR spectra of FR-G1 and FR-G2 are signicantly broadened at various temperatures. However, high-resolution mass spectrometry ( Fig. S2 and S3 in the ESI †) and high performance liquid chromatography measurements ( Fig. S4 and S5 in the ESI †) clearly conrmed the formation of the target compounds with high purity.

Ground-state electronic structure and polyradical character
The fundamental electronic structure and radical character of FR-G1 and FR-G2 were theoretically investigated by the restricted active space spin ip (RAS-SF/6-31G*) method, 12 a multi-congurational (spin complete) wave function approach Scheme 1 Synthetic routes of FR-G1 and FR-G2. Reagents and conditions: (a) 2.2 equiv. n-BuLi, THF, À78 C, then 2.5 equiv. 3,6bis(4-tert-butylphenyl)-9H-fluoren-9-one; (b) SnCl 2 , CH 2 Cl 2 , rt; (c) (i) 2.2 equiv. n-BuLi, THF, À78 C, then 2.2 equiv. 3,6-dibromo-9H-fluoren-9-one; (ii) NaH, THF, CH 3 I; (d) 6.0 equiv. n-BuLi, THF, À78 C, then 8.0 equiv. 3,6-bis(4-tert-butylphenyl)-9H-fluoren-9-one. that has shown very good results in the description of strongly correlated electron systems, 6,7 and with spin-unrestricted density functional theory (UB3LYP/6-31G*). The calculated electronic energies predict that FR-G1 has a doublet (D 0 ) ground state, with several higher-energy doublet excited states (D n , n ¼ 1-4) and quartet states (Q n , n ¼ 1-4) ( Fig. S12 and Table S1 in the ESI †). The energy gap between the ground doublet state and the lowest energy quartet state (DE DÀQ ) was calculated to be À8.19 kcal mol À1 (Table 1). On the other hand, FR-G2 was predicted to have a quartet ground state with a slightly higher lying doublet excited state (DE DÀQ ¼ +0.78 kcal mol À1 ) ( Table 1, Fig. S11 and Tables S2 and S4 in the ESI †). This is reasonable considering that there is minimum of one (for FR-G1) or three (for FR-G2) unpaired electrons in their AFM coupled resonance forms (Fig. 1). The calculated electronic structures and spin density distribution maps in their respective ground states are shown in Fig. 2. In all cases, the unpaired electron density is delocalized throughout at least two neighbouring uorenyl units, with the highest density localized at the 9-position carbon centers, indicating moderate AFM exchange coupling between these uorenyl units. The spin densities are also delocalized throughout the whole branched uorenyl backbone, indicating two-dimensional p-conjugation. The radical character of their ground-state structures was evaluated by the number of unpaired electrons (N U ) 13 according to the equation: N U ¼ S(1 À abs(1 À n i )), where {n i } are the natural occupation numbers from the one-particle density matrix. The N U value was calculated to be 1.82 for FR-G1 and 5.23 for FR-G2 (Table 1). Signicant electronic occupancies were calculated for the lowest unoccupied natural orbitals (SONO + i, i ¼ 1,2,3,.) of FR-G1 and FR-G2 (Table 1 and Tables S1, S3 in the ESI †), which should directly correspond to Yamaguchi's polyradical character indices. 14 Accordingly, FR-G1 has a moderate triradical character (y 0 ¼ 0.37), while FR-G2 has large triradical character (y 0 ¼ 1.0), moderate pentaradical character (y 1 ¼ 0.58), and moderate heptaradical character (y 2 ¼ 0.50). All these calculations suggest a moderate AFM exchange interaction between the uorenyl units in both dendrons.

Magnetic properties
Both FR-G1 and FR-G2 showed strong electron spin resonance (ESR) signals in DCM solution with the same g e value of 2.0026, and the ESR spectra can be well tted by considering the spinnucleus hyperne coupling (Fig. 3a and c and S6 in the ESI †). Compared with uorenyl monoradicals, 6,8 the ESR spectra of both compounds are broadened, indicating a moderate spinspin exchange interaction between the uorenyl units. FR-G2 Table 1 Calculated (RAS-SF/6-31G*) energy gap between the lowest doublet state and the lowest quartet state (DE DÀQ ) for FR-G1 and FR-G2, and the unpaired electron numbers (N U ) and the occupation numbers of SONO + i (i ¼ 1, 2, 3) in their respective ground states (doublet for FR-G1 and quartet for FR-G2) exhibited a broader ESR spectrum compared to FR-G1 presumably due to more extended spin delocalization. Variabletemperature ESR measurements were conducted for the powder form, and in both cases, the product of ESR intensity (I) and temperature (T in K) increases with temperature ( Fig. 3b and d and S7 in the ESI †), correlating to a thermal population from the ground state to higher energy excited states. Fitting of the ESR data by using a trimer model for FR-G1 and a simplied pentanuclear model for FR-G2 gave a DE DÀQ value of À3.9 kcal mol À1 and +0.2 kcal mol À1 , respectively (see details in the ESI †). Therefore, the ground state of FR-G1 is a doublet while FR-G2 has a quartet ground state, in agreement with the theoretical predictions.

Optical and electrochemical properties
FR-G1 in DCM shows an intense absorption band in the vis-NIR region extending up to 850 nm, with maximum (l max ) at 535 nm ( Fig. 4a), indicating signicant AFM exchange interaction (or pconjugation) among the three radicals. On the other hand, the uorenyl radical monomer FR-G0 without intramolecular AFM coupling exhibits a long and weak absorption band up to 1050 nm. 6 FR-G2 in DCM displays a new moderate-intense band with peaks at 759 and 831 nm in addition to the intense band centered at 533 nm, and the absorption is extended up to 1150 nm (Fig. 4b), which can be explained by multiple AFM coupling between the uorenyl radicals. The optical energy gap (E opt g ) of FR-G1 and FR-G2 was estimated to be 1.56 eV and 1.12 eV, respectively, from the lowest energy absorption onset. Assignments of the absorption bands of FR-G1 and FR-G2 in terms of orbital transitions can be found in the ESI (Tables S5, S6, Fig. S13 and S14 †).
Open-shell singlet diradicaloids and polyradicaloids having moderate bonding of the frontier p-electrons usually show enhanced two-photon absorption (TPA). 15 Hence, TPA properties of FR-G1 and FR-G2 were probed by using the open-aperture Z-scan method in the wavelength range where one-photon absorption contribution is negligible ( Fig. 4a and b and S8 in the ESI †). FR-G1 exhibited a maximum TPA cross-section value (s max (2) ) of 230 GM at 1200 nm, while FR-G2 showed a largely increased s max (2) value of 620 GM at 1700 nm due to more extended 2D p-conjugation via multiple intramolecular AFM exchange interactions. Both s max (2) values are larger than typical closed-shell p-conjugated systems in a similar size. Femtosecond transient absorption (TA) measurements were conducted to investigate their excited-state dynamics (Fig. S9 in the ESI †). According to the kinetic plots of ground-state bleaching domains, it was observed that FR-G1 and FR-G2 were tted with double exponential functions in TA spectra (Fig. S9 in the ESI †). The fast decay time of a few picoseconds can be attributed as an excited-state lifetime, whereas the longer decay time corresponds to the structural relaxation. Due to the increased polyradical character originating from AFM exchange interaction, the lifetime of FR-G2 decreased from 3 ps to 1 ps compared to FR-G1. FR-G1 showed three irreversible oxidation waves with halfwave potential E ox 1/2 ¼ 0.37, 0.62 and 0.93 V (vs. Fc + /Fc) and three quasi-reversible reduction waves with E red 1/2 ¼ À1.26, À1.54 and À1.72 V during the cyclic voltammetry and pulse voltammetry measurement ( Fig. 4c and S10 in the ESI †). The HOMO and LUMO energy levels are estimated to be À5.08 and À3.77 eV from the onset potential of the rst oxidation and reduction  wave, respectively, and the corresponding electrochemical energy gap (E EC g ) is 1.31 eV. FR-G2 exhibited two oxidation waves at E ox 1/2 ¼ 0.49 and 0.88 V and four reduction waves at E red 1/2 ¼ À1.19, À1.39, À1.72 and À2.09 V (Fig. 4c). The HOMO and LUMO energy levels of FR-G2 were estimated to be À4.96 and À3.93 eV, with a smaller E EC g value of 1.03 eV. Therefore, with increasing molecular size, the HOMO increases and the LUMO decreases. The trend of the electrochemical energy gap is in consistent with the observed optical energy gap, and the decrease of band gap from FR-G1 to FR-G2 can be simply explained by more extended 2D p-conjugation in FR-G2. Spectro-electrochemical studies reveal that FR-G1 can be fully oxidized to its trications with l max at 1088 nm and fully reduced to its trianions with l max at 378 nm (Fig. S11 in the ESI †). FR-G2 can be oxidized to trications (l max ¼ 1090 nm) and fully reduced to hepta-anions (l max z 376 nm). The multiple redox behaviour is due to their polyradical character and 2D p-conjugation, which can stabilize multiple charges.

Conclusions
In summary, stable uorenyl radical dendrons up to the second generation were successfully synthesized. The moderate intramolecular AFM coupling between the uorenyl radicals results in two-dimensionally p-conjugated structures with polyradical character. Due to the more extended p-conjugation and polyradical character, the second generation dendron FR-G2 exhibited smaller energy gap, larger TPA cross-section, and shorter excited state lifetime compared to the rst generation dendron FR-G1. Both compounds showed small electrochemical energy gaps and multiple accessible redox waves. Our molecules represent the rst class of two-dimensionally AFM coupled dendritic polyradicaloids.

Conflicts of interest
There are no conicts to declare.