Self-correcting mismatches in metastable hydrogen-bonded organic frameworks with an 11-fold interpenetrated array

The polymorphic self-correction from a metastable phase to a stable one often occurs and plays crucial roles in synthesizing robust hydrogen-bonded organic frameworks (HOFs). However, identifying metastable phases and understanding the self-correcting mechanisms is a challenging venture due to their intrinsic instability. Here, we for the first time introduce 1,8-naphtholactam (Np) as a hydrogen-bonding synthon positioned on the periphery of a bicarbazole to create a versatile molecular unit for 3D HOFs. The as-synthesized NCU-HOF1, analyzed by single-crystal X-ray diffraction (SCXRD), is found to be metastable. It exhibits an 11-fold interpenetrated dia topology with a quarter of the Np units exhibiting monomeric N–H⋯O interactions between adjacent Np link sites, which readily self-correct upon desolvation to form fully dimeric ones. Consequently, the resultant NCU-HOF1a becomes highly robust in polar solvents, strong acid or alkaline aqueous solutions, and has permanent porosity with contracted cavities for selective adsorption and efficient “turn-up” fluorescent sensing of C2H4 gas. This work not only debuts a new hydrogen-bonding synthon but offers more insights into investigating solid-state dynamics in metastable HOFs.

However, the exploration of HOFs has presented a substantial challenge in implementing reticular chemistry for the selfassembly of hydrogen-bonding units.Hydrogen bonds exhibit signicantly weaker (10-40 kJ mol −1 ), more exible, and less directional bonding energies and angles compared to coordination (90-350 kJ mol −1 ) and covalent bonds (300-600 kJ mol −1 ). 1,418][49] The arrangement of hydrogen bonds among organic molecule units is susceptible to disruption by solvent disturbances, leading to the formation of (non)porous networks.][52][53][54] This situation would be aggravated within highly interpenetrated HOFs, where the interpenetration of frameworks promotes synergistic interactions (p-p stacking, Ar/C-H/p interactions, van der Waals interactions) 18,55,56 among organic molecule units to further stabilize these mismatched hydrogen bonds.It is thus believed that investigating the solid-state dynamics of mismatched hydrogen bond patterns within metastable HOFs would contribute to deeply deciphering their self-assembly and evolution, yet it remains an ongoing dilemma.
In this study, we fabricated 3D HOFs by the self-assembly of organic molecule units consisting of peripheral 1,8-naphtholactam (Np) and central bicarbazole in solution.The selection of the Np synthon was based on its uorescence behaviors and its capacity to form stable dimers through intermolecular hydrogen bonding, as recently reported in our laboratory. 57,58tilizing single-crystal X-ray diffraction (SCXRD) data, we present, for the rst time, the self-correcting mismatches of hydrogen bond patterns in an 11-fold interpenetrated array of metastable HOF1 upon desolvation (Fig. 1).This involved a remarkable "cross-door" rotation of nearly 180°between adjacent frameworks at the Np link sites with monomeric N-H/O interactions.The ensuing permanent porosity with contracted cavities, coupled with structural robustness and bright green emission of the activated NCU-HOFs were then illustrated, enabling the selective adsorption and efficient "turn-up" uorescent sensing of ethylene(C 2 H 4 ) gas.

Results and discussion
The organic ligand BC-4Np was synthesized through a Suzuki coupling reaction involving 3,3 0 ,6,6 0 -tetrabromo-9,9 0 -bicarbazole (BC-4Br) and boric acid esteried Np (Np-pin).Comprehensive characterization of its molecular structure was achieved using 1 H NMR, 13 C NMR, and mass spectroscopy, yielding satisfactory results (details in the ESI †).Block-shaped single crystals were obtained via vapor diffusion of acetone into a solution of BC-4Np in N,N 0 -dimethylformamide (DMF) at 298 K. SCXRD analysis disclosed that NCU-HOF1 crystallizes in the monoclinic space group I2/a (Table S1 †).Within NCU-HOF1, two crystallographically unique BC-4Np molecules exist in the asymmetric unit (Fig. 2a).Distinct hydrogen bonding modes between adjacent Np linkers were observed within each BC-4Np unit, featuring partially monomeric and fully dimeric N-H/O hydrogen bonds in a 1 : 2 ratio, with distances ranging from 1.89 to 2.04 Å, forming a single dia 3D network (Fig. 2b).The substantial void space of 70.4 × 49.4 Å 2 in this single dia 3D network facilitates the formation of a dia{6 6 } topological structure with an 11-fold interpenetrated array (Fig. 2c and d).This interpenetration is primarily facilitated by multiple Ar-H/ O, Ar-H/p, and p-p interactions between Np and adjacent BC/ Np moieties in BC-4Np units (Fig. S1 and S2 †).These observations underscore the pivotal role of the large p-planar conguration of the Np synthon in the highly interpenetrated array of NCU-HOF1.Despite the 11-fold interpenetration, serrated 1D pore channels along the c-axis in NCU-HOF1 persist, with cages measuring 9.0 × 9.6 Å 2 and necks as small as 5.3 Å (type I, Fig. S3 †).Additionally, isolated cavities with cross-sections of approximately 7.6 × 7.0 Å 2 were detected in NCU-HOF1 (type II, Fig. S3 †).The total solvent-accessible void of NCU-HOF1 was estimated to be around 30% using PLATON. 59uring the activation process, a noteworthy phenomenon was observed in the desolvation of the as-synthesized sample (NCU-HOF1) under high vacuum to generate the activated sample (NCU-HOF1a).The powder X-ray diffraction (PXRD) patterns displayed signicant changes, including a shi in the strongest diffraction peak of NCU-HOF1 from 3.1°to 5.2°and a reduction in the number of diffraction peaks, indicative of a structural transformation during desolvation (Fig. S4 †).Subsequent tests revealed that elevated temperature and/or vacuum conditions induced a phase transition in NCU-HOF1 (Fig. 3a).Variable-temperature PXRD patterns demonstrated that the phase transition occurred at 313 K, despite being degenerate (Fig. 3b).This observation was corroborated by thermogravimetric analysis (TGA) and differential scanning calorimetry (DSC) data under nitrogen (N 2 ) conditions (Fig. S5 †), suggesting the facile escape of disordered solvent molecules from the frameworks.Fourier transform infrared spectroscopy (FTIR) further indicated the structural transformation of NCU-HOF1, as evidenced by the disappearance of the absorption peak at 1713 cm −1 , establishing a close correlation with the hydrogen bond receptor C]O in Np synthons (Fig. 3c).
Through acetone immersion and vacuum outgassing at 298 K, the guest-free NCU-HOF1a crystal structure is successfully obtained for X-ray diffraction analysis, employing a singlecrystal-to-single-crystal (SCSC) transformation approach.SCXRD analysis reveals that NCU-HOF1a crystallizes in the monoclinic space group C2/c, maintaining an 11-fold interpenetrated array with a slight lattice volume contraction in the same dia topology (Table S1 and Fig. S6 and S7 †).In contrast to the metastable NCU-HOF1, all BC-4Np molecules in NCU-HOF1a exhibit higher structural symmetry and become crystallographically equivalent.This transformation is associated with the conversion of N-H/O interactions between adjacent Np link sites from being partially monomeric to completely dimeric upon activation (Fig. 3d).This observation aligns with the (FTIR) data, underscoring the signicance of the hydrogenbonding pattern in this self-correcting process.A detailed analysis reveals a "cross-door" rotation of two Np units in A-A layers, reaching an angle of nearly 180°(Fig.S8 †).Simultaneously, two BC-4Np molecules at the adjacent B layer slide   towards each other in opposite directions, maintaining a distance of approximately 4.6 Å.This sliding is primarily induced by the C-H/O interaction between the neighboring Np units at layers A and B, generating p-stacking in the frameworks.The self-correction dynamics, characterized by a dramatic rotation and slip of assembly units within the 11-fold interpenetrated HOFs, represent a remarkable and hitherto unreported phenomenon.
In the context of energy considerations, the transformation of monomeric Np units into dimers occurs through rotation around the N-H/O bond, exhibiting an energy barrier of 10.17 kcal mol −1 and an exothermic process of 6.57 kcal mol −1 (Fig. 3d middle).When the free N-H of Np units is stabilized by guest acetone molecules, rotation becomes unlikely due to the presence of a higher energy barrier of 28.30 kcal mol −1 and an exothermic energy of 5.79 kcal mol −1 (Fig. S9 †).The theoretical analysis concurs with the experimental observation that NCU-HOF1 can be easily activated into NCU-HOF1a through heating and/or vacuum conditions, as it removes guest acetone molecules.Following activation, the serrated 1D pore channel of the HOFs contracts into a dispersive 0D pore, resulting in a reduction of the void pore volume to approximately 20%.Furthermore, NCU-HOF1a crystals exhibit two types of irregular cavities (I and II), primarily surrounded by Np synthons (Fig. 4a).Along the c-axis, cavity I features the largest cages measuring 5.5 × 5.6 Å 2 with the smallest necks of 3.7 Å, while cavity II comprises cages of 5.3 × 7.2 Å 2 with the smallest necks of 3.5 Å (Fig. S10 †).These dimensions align more favorably with the size of small C 2 H 4 molecules (3.3 × 4.2 × 4.8 Å 3 ) than ethane (C 2 H 6 ) molecules (3.8 × 4.1 × 4.8 Å 3 ), 8 providing additional motivation for exploring potential capture and separation within these contracted cavities.
To assess chemical stability, NCU-HOF1a underwent treatment in common organic solvents (methanol, acetonitrile, acetone, trichloromethane, and toluene), HCl (pH = 1), and NaOH (pH = 13) solutions at 298 K. Aer one month, the framework retained its structural integrity, as conrmed by PXRD patterns, scanning electron microscope (SEM) images, and uorescence photographs (Fig. S11 and S12 †), revealing its high structural robustness.Variable-temperature PXRD patterns demonstrated NCU-HOF1a's exceptional thermal stability, with the decomposition temperature conrmed to be above 578 K by thermogravimetric analysis in an N 2 atmosphere (Fig. S13 †).It is noteworthy that the conversion of NCU-HOF1a to NCU-HOF1 could not be achieved, even when soaked in the mother solution for sample preparation, conrming its thermodynamic stability (Fig. S14 †).This irreversibility aligns with crystallographic data both before and aer the structural transformation, underscoring the self-correction of the mismatched hydrogen-bonding pattern.Meanwhile, NCU-HOF1a exhibited a maximum emission wavelength (l em ) at 526 nm with a uorescence quantum yield (F PL ) of up to 36.1% (Fig. S15 †).The bright yellow uorescence of NCU-HOF1a remained unchanged aer immersion in common organic solvents and strong acid or alkali water solutions.The uorescence decay proles t well with a double-exponential function, characterized by short lifetimes of approximately 4.79 ns (Fig. S15 †).These uorescence features, mainly inherited from Np synthons, can be sustained and are highly consistent with chemical stability.Notably, NCU-HOF1a represents the rst instance of high-efficiency uorescence derived from hydrogenbonding synthons, with uorescence efficiencies comparable to those reported in previous HOF literature (Table S2

†).
The permanent porosity of NCU-HOF1a was established through carbon dioxide (CO 2 ) gas sorption experiments at 273 K.In Fig. 4b, the adsorbed CO 2 amount in the rst step, at P/P 0 = 0.001, is approximately 40 cm 3 g −1 , indicative of a micropore lling process.The total CO 2 uptake at 1 bar reaches 300 cm 3 g −1 , corresponding to a total pore volume of 0.122 cm 3 g −1 , consistent with the theoretical value calculated from the crystal structure (0.103 cm 3 g −1 ).A small hysteresis loop suggests that HOFs effectively preserve pore characteristics during the adsorption/desorption process.The Brunauer-Emmett-Teller (BET) surface area of NCU-HOF1a was calculated to be 538 m 2 g −1 (Fig. S16 †), comparable to reported counterparts with an 11fold interpenetrated array. 60The pore size distribution, calculated using non-localized density functional theory (NL-DFT), exhibited main peaks at 3.38 and 4.13 Å, consistent with values obtained from the crystal structure using the Poreblazer program (Fig. 4b and S17 †).N 2 isotherms at 77 K revealed a characteristic reversible type-III isotherm for NCU-HOF1a (Fig. S18 †), indicating an extremely weak interaction between NCU-HOF1a and N 2 gas.
Single-component adsorption isotherms of C 2 H 6 and C 2 H 4 for NCU-HOF1a were examined under ambient conditions (Fig. 4c and S19 and Table S3 †).The total C 2 H 4 uptake at 298 K and 1 bar was 80.93 cm 3 g −1 (3.61 mmol g −1 ), with a second adsorption step at 0.4 bar indicating dual adsorption sites for C 2 H 4 , one of which exhibits preferential adsorption.Conversely, a type-IV isotherm was detected for C 2 H 6 adsorption, and the total C 2 H 6 uptake was only 14.80 cm 3 g −1 (0.66 mmol g −1 ) under identical conditions.Such a preferential adsorption of C 2 H 4 over C 2 H 6 is accompanied by a large adsorption ratio for C 2 H 4 / C 2 H 6 (5.46), suggesting the potential of NCU-HOF1a for separating these two gases.Additionally, the total C 2 H 4 uptake decreased with rising temperature, and the second adsorption step vanished at 313 K and 328 K. Calculations of the adsorption selectivity of NCU-HOF1a for C 2 H 4 /C 2 H 6 (50/50, 90/10 and 99/1) mixtures using ideal adsorbed solution theory (IAST) revealed high C 2 H 4 selectivity for mixtures at 298 K and 1 bar (Fig. 4d and S20 and Table S3 †).The initial value of the experimental isosteric heat of adsorption (Q st ) for C 2 H 4 on NCU-HOF1a was calculated to be 20 kJ mol −1 , indicating superior adsorption/ desorption processes compared to traditional metals or p coordination gas adsorbing materials. 61he uorescence behavior of NCU-HOF1a before and aer C 2 H 4 uptake was then recorded.As shown in Fig. 5a-c, the as- prepared NCU-HOF1a@C 2 H 4 (for preparation details see the ESI †) maintained bright yellow-green uorescence at l em = 526 nm, with F PL and lifetime gradually increasing from 36.1 to 49.1% and from 4.28 to 8.50 ns upon C 2 H 4 uptake.In comparison, NCU-HOF1a showed a negligible increase in uorescence intensity upon treatment with C 2 H 2 or C 2 H 6 gas, emphasizing its exceptional selectivity for C 2 H 4 adsorption (Fig. S21 †).Variable-temperature uorescence tests revealed that NCU-HOF1a@C 2 H 4 remains structurally stable under ambient conditions but readily releases adsorbed C 2 H 4 during vacuum drying (Fig. S22 †).This uorescence enhancement can be repeated at least ve times with C 2 H 4 pressure ranging from 0 to 2 bar, indicating the excellent reusability of NCU-HOF1a for C 2 H 4 uptake/release (Fig. S23a †).The unchanged PXRD pattern of NCU-HOF1a before and aer C 2 H 4 uptake demonstrated that the adsorbed C 2 H 4 gas has no impact on its framework (Fig. S23b †).A summary of all the photophysical data of the asprepared NCU-HOF1a@C 2 H 4 is provided in Table S4.† Fortunately, the C 2 H 4 -adsorbed NCU-HOF1a single crystal, named NCU-HOF1a@1C 2 H 4 , was obtained by exposing it to a C 2 H 4 atmosphere at 1 bar and 273 K for approximately 24 hours (Table S1 and Fig. S24 and S25 †).With the SCXRD results of NCU-HOF1a@1C 2 H 4 , the C 2 H 4 -induced uorescence enhancement behavior of NCU-HOF1a can be further elucidated.Although the location and conguration of the C 2 H 4 molecules within the pores are disordered, two possible modes of C 2 H 4 molecules residing in the NCU-HOF1a framework were observed.In Fig. 5d, the C 2 H 4 molecules were trapped between multiple Np synthons in NCU-HOF1a@1C 2 H 4 , forming weak C-H/O interactions (3.17-3.54Å) in the type-I cavity, while forming moderate edge-to-face C-H/p interactions (2.64-3.46Å) in the type-II cavity.These multiple intermolecular interactions between C 2 H 4 molecules and Np synthons were also conrmed by the Hirshfeld surface analysis of the C 2 H 4 molecule within the framework (Fig. S26 †), further supporting the crucial role of Np synthons in trapping C 2 H 4 molecules.Moreover, the NCU-HOF1a@1.75C 2 H 4 single crystal was then obtained by raising the C 2 H 4 pressure to 2 bar (Table S1 †).The SCXRD analysis revealed a signicant increase in the number of intermolecular interactions between C 2 H 4 molecules and Np synthons, accompanied by a decrease in the shortest distance of these intermolecular interactions (Fig. S27 and S28 †).This is mainly ascribed to the 1.75 times increase of C 2 H 4 uptake in the NCU-HOF1a@1.75C 2 H 4 compared to that of NCU-HOF1a@1C 2 H 4 .It should be noted that the unit cells of both C 2 H 4 -adsorbed NCU-HOF1a single crystals remain unchanged compared to NCU-HOF1a, indicating a gradual increase in the internal rigidity of the frameworks in the order of NCU-HOF1a@1.75C 2 H 4 > NCU-HOF1a@1C 2 H 4 > NCU-HOF1a.Precisely, the trapped C 2 H 4 molecules within the pores of C 2 H 4 -adsorbed NCU-HOF1a restrict the rotation of the Np synthons, reducing the nonradiative decay pathways and resulting in the uorescence turn-up of NCU-HOF1a.This is highly consistent with the experimental data, and all of these SCXRD analyses also strongly support the preferential adsorption of C 2 H 4 over C 2 H 6 on NCU-HOF1a under ambient conditions.

Conclusions
In summary, we have demonstrated the facile self-correction of the hydrogen-bonding patterns in 3D NCU-HOFs, selfassembled from molecular units composed of peripheral Np hydrogen-bonded synthons and central bicarbazoles.The assynthesized metastable NCU-HOF1 has an 11-fold interpenetrated dia topology with a quarter of the Np units exhibiting monomeric N-H/O interactions between adjacent Np link sites.These mismatched hydrogen bond patterns readily undergo an inconceivable "cross-door" rotation of nearly 180°u pon desolvation, resulting in fully dimeric interactions.Consequently, the activated NCU-HOF1a becomes permanently porous with a BET surface area of 538 m 2 g −1 and excellent robustness in highly polar solvents, strong acid, or alkaline aqueous solutions.Moreover, NCU-HOF1a demonstrates biased adsorption of C 2 H 4 over C 2 H 6 due to multiple C-H/O/p interactions between Np synthons and C 2 H 4 guests in the contracted cavities.These host-guest interactions enhance the intramolecular rigidity of NCU-HOF1a, enabling efficient "turnup" uorescent sensing of C 2 H 4 .This work contributes to our understanding of self-correction dynamics in frameworks by nanoconnement and their inuence on the subsequent features and applications of organic porous materials.

Fig. 2
Fig. 2 (a) Distinct molecular configurations of BC-4Np.(b) Alternating monomeric and dimeric N-H/O hydrogen bonds between adjacent BC-4Np molecules.(c) Void space in the dia topology in NCU-HOF1.(d) The 11-fold interpenetrated topological frameworks (different colors represent different frameworks) and side view of the stacking.The purple structure represents the dimer formed, and the mint green one represents the monomer.

Fig. 3
Fig. 3 (a) PXRD variations of NCU-HOF1 upon desolvation (vacuum: −1 bar).(b) Variable-temperature PXRD patterns of degraded NCU-HOF1 under a N 2 atmosphere.(c) In situ FTIR spectrum of NCU-HOF1.(d) Schematic diagram illustrating the self-correcting N-H/O interactions between adjacent Np link sites through an irreversible "cross-door" rotation pathway.Inset: The difference in dihedral angles between the carbazole and Np segments, and the energy profile from monomer to dimer formation of BC-4Np in NCU-HOF1.

Fig. 5
Fig. 5 Changes in (a) fluorescence intensity, (b) lifetime profiles, and (c) F PL of NCU-HOF1a upon C 2 H 4 uptake (pressure ranging from 0 to 2 bar).(d) Multiple intermolecular interactions between C 2 H 4 gas and Np synthons in the framework of NCU-HOF1a.