Fractals are patterns that repeat at different scales, with smaller parts mirroring the larger whole [
1]. These geometries are intriguing due to their profound implications in the domains of aesthetics, mathematics, and philosophy [
2,
3]. Nature is abundant with examples of fractal shapes, including the Koch snowflake, the branching structure of trees, the striking branching of lightning, the complex network of the human nervous system, and the rugged landscapes of mountains. As a celebrated fractal geometry, Sierpiński triangle, which was first introduced by the Polish mathematician Waclaw Sierpiński [
4], has recently captured the attention of the synthesis chemistry community. This fractal has been the subject of numerous two-dimensional (2D) molecule syntheses, and was driven by advancements in on-surface synthesis and solution-state supramolecular self-assembly techniques [
5-
9]. However, the exploration of Sierpiński triangle in three-dimensional (3D) geometric configurations poses a significant challenge in the field of synthetic chemistry, especially in the context of geometric modeling and fractal geometry.
Coordination-driven self-assembly, which is a versatile synthetic method playing vital role in synthetic chemistry region, has been widely used for constructing nano geometric structure with characteristic regularity and elegance [
10,
11]. In the past twenty years, a great amount of novel 3D architectures such as prisms, helicates, polyhedra, spheroids, interlocked structures, barrels have been reported by Stang [
12-
15], Fujita [
16-
20], Nitschke [
21-
27], Clever [
28-
31], Newkome [
32-
35], and many others [
36-
45]. Among the coordination-driven constructs, 3D geometric supramolecules exhibiting Sierpiński fractal topologies are esteemed for their aesthetic appeal. Newkome's group has successfully demonstrated a megastructural Sierpiński pyramid through the stacking of Sierpiński triangles, achieving molecular-directed intertwinement of the alkyl side chains through a second-order assembly process [
46]. Wang's group has unveiled the fabrication of Sierpiński tetrahedrons and octahedrons, which were constructed through a meticulous process with the utilization of a truncated Sierpiński triangular kernel as face ligand, complementary bridge-shaped ligands as vertexes, and Zn
2+ or Cd
2+ ions as pivotal connectors [
47]. Although individual speices featuring fractal characteristics have been developed, controllable methods that producing giant fractal architectures with higher complexity from prototypical artificial supramolecules are still difficult to be realized.
Terpyridine (tpy) based ligands exhibit exceptional self-assembly properties and are pivotal in the field of aesthetic giant supramolecular constructions [
48-
57]. Particularly, the coordination between terpyridine and Ru
2+ ions exhibit remarkably stability even under extreme chemical conditions, which have been well documented as promising connectors for innovative supramolecular structure (
Fig. 1) [
58-
62]. In this study, we present the synthesis of a novel triangular prism supramolecule
S1 characterizing by triangular faces and rhombus edges, which is formed through the self-assembly of penta-topic metal-organic ligand
L1 with Zn
2+ ions. The
S1 provides an internal cavity with large windows and functionalized interior environment for the accommodation of small molecules, showing great potential in catalytic applications. With the introduction of a metallo-organic modular ligand
L2, the architecture of
S1 could be converted into an analogous framework
S2 via the topotactic Sierpiński triangular expanding on the opposite surfaces of the prism (
Scheme 1). The architectures of
S1 and
S2 was characterized through various analytical techniques such as nuclear magnetic resonance spectroscopy (
1H NMR, 2D COSY, 2D NOESY, 2D DOSY), high-resolution electrospray ionization mass spectrometry (ESI-MS, ESI-TWIM-MS), transmission electron microscopy (TEM), and atomic force microscopy (AFM), as well as computer-generated modeling. To our knowledge, this is the first-example of triangular prism architecture with a Sierpiński fractal surface.
The pivotal metallo-organic ligand (MOL)
L1 was synthesized through a step-wise strategy involving a two-fold Suzuki-coupling reaction of precursor
1 with 4′-boronatopenyl [2,2′:6′,2′']terpyridine
2. The ligand
L1 is composed of a tetra-terpyridine bridge-shaped ligand and a 1,2,3-tri-terpyridine ligand, connected by a Ru
2+ ion. It features a V-shaped bis-terpyridine site and a serrated tri-terpyridine site, with a spatial angle of 127° [
34]. As shown in
Fig. 2A, two clean singlet peaks were observed at 9.44 and 9.42 ppm in a 1:1 ratio attributed to Ru
2+ connected tpy-H
3′,5′ protons, in addition, three clean singlets with integration ratio of 1:1:1 was observed in the non-aromatic region at 4.07, 3.75, and 3.74 ppm belong three methoxy groups, denoting the high purity of ligand
L1. All the other signal peaks were assigned with the assistance of homonuclear chemical shift correlation spectroscopy (COSY) and nuclear overhauser effect spectroscopy (NOESY) experiments (Figs. S18 and S19 in Supporting information). To ascertain the molecular structure of the ligand
L1, electrospray ionization mass spectrometry (ESI-MS) was further conducted. The ESI-MS spectrum of
L1 displayed a clean signal peak at
m/
z 1328.16 correlating to charge state 2+ caused by the loss of NTf
2¯ anions, proving the successful synthesis of target ligand (Fig. S48 in Supporting information).
The triangular prism
S1 was assembled by mixing MOL ligand
L1 with Zn(NO
3)
2·6H
2O in a precise stoichiometric ratio of 2:5 in the mixed solvent of MeCN/MeOH (v/v, 3/1), and then refluxing at 85 ℃ for 8 h. After cooling to environmental temperature, an excessive methanol-saturated solution of LiNTf
2 salts was added to exchange counterpart anions, following by the filtration of red precipitate. The as-synthesized product was then identified by NMR and MS analyses. As shown in
Fig. 2B, the
1H NMR spectrum of
S1 exhibted a series of well-split signal peaks in the aromatic region. It could be observed that all signals of tpy-H
6,6″ protons on the uncoordinated sites of terpyridines shifted upfield (indicated by dashed line) due to the electron shielding effects of the metal ions, indicating the successful combination of
L1 with Zn
2+ ions. Additionally, two singlets and one overlapping signal at 8.96, 8.94, and 8.90 ppm in a 1:4:1 ratio were attributed to six types of characteristic tpy-H
3′,5′ protons, whereas the remaining tpy-H
3′,5′ protons were overlapped in the 8.67–8.66 ppm region. In the non-aromatic region, signal peaks exhibited similar patterns to the uncoordinated
L1 ligands. Three singlets at 4.12, 3.82, and 3.81 ppm in a 1:1:1 integration ratio were attributed to three methoxy groups, indicating the formation of a highly symmetric product. Other assignments were fully confirmed by 2D COSY and 2D NOESY analyses (Figs. S37 and S38 in Supporting information).
ESI-MS and TWIM-MS analyses were performed to ensure the composition and purity of triangular prism
S1. As shown in
Fig. 2D, a series of peaks with successive charge states from 20+ to 10+ were observed at
m/
z 1151.79, 1227.16, 1310.90, 1404.49, 1509.78, 1629.11, 1765.48, 1922.84, 2106.42, 2323.38, and 2583.74 owing to the loss of different numbers of NTf
2¯ anions during the ionization. The molecular weight was determined to be 28, 638 Da, which fully matched the simulated values of [(Zn
15L1
6) (NTf
2¯)
42] (
Fig. 2C). Due to the large molecular weight of the assembled supramolecule and limitations in instrument resolution, the isotopic distribution of each charge might not be obtained. Furthermore, the TWIM-MS spectrum of
S1 (
Fig. 2E) displayed a series of narrow drift time distributions for charge states from 17+ to 11+ with no plots of oligomer and isomeric structures, indicating the purity of target triangular prism
S1 and the absence of other assembly structures.
During the self-assembly process of triangular prism
S1, the V-shaped bis-terpyridine moiety of ligand
L1 formed a triangular structure after combining with the metal ion Zn
2+, while the serrated tri-terpyridine moiety formed a diamond-shaped structure with intermediate bridging. To expand the faces of triangular prism
S1 into Sierpiński triangles, a metallo-organic modular ligand
L2 was designed. The
L2 features clip-shaped coordination units and rigid skeleton, which could complementally assemble with the V-shaped bis-terpyridine unit of
L1, and the resulting assembly was preliminarily characterized by NMR and MS analysis (
Fig. 3). The synthesis route of
L2 was provided in Scheme S2 (Supporting information). The
1H NMR spectrum (
Fig. 3C) of
L2 exhibited a series of clean signal peaks, indicating high purity and symmetry. Upon the addition of 2 equiv. ligand
L2 and 6 equiv. of Zn
2+ ions into the assembled triangular prism
S1 solution, the mixture was subjected to reflux for 12 h. A red solid product was then isolated, yielding near quantitative efficiency. As shown in
Fig. 3B, the
1H NMR spectrum of this assembly product displayed three singlets and one overlapped signal peak at 8.91, 8.87–8.85, and 8.80 ppm in a 1:5:1 ratio, which could be attributed to the seven kinds of tpy-H
3′,5′ protons. The other two tpy-H
3′,5′ protons were attributed to the overlapping peak at 8.08–7.92 ppm. In the non-aromatic region, two singlets and one overlapping signal peak were assigned to methoxy groups in an integral ratio of 1:2:2, indicating the successful assembly of triangular prism
S1 and ligand
L2 in a ratio of 1:2, as well as high symmetry of the product. All other assignments were confirmed by 2D COSY and 2D NOESY analyses (Figs. S41 and S42 in Supporting information).
The ESI-MS spectrum of supramolecule
S2 was shown in
Fig. 3E, which displayed a series of signal peaks with successive charge states from 25+ to 13+ due to the loss of different numbers of NTf
2¯ anions during the ionization. The calculated molecular weight of 45, 592 Da exactly matched the designed structure with the formula of [(Zn
21L1
6L2
2) (NTf
2¯)
66] (
Fig. 3D), suggesting the formation of the Sierpiński triangle-faced triangular prism
S2. The TWIM-MS spectrum (
Fig. 3F) of
S2 displayed a series of narrow drift time distributions for charge states from 23+ to 14+ with no plots of oligomer and isomeric structures, further proving the successfully reassembly of triangular prism
S1 and ligand
L2 towards the Sierpiński triangle-faced triangular prism
S2 without other by-products.
To investigate the stability of triangular prisms
S1 and
S2, gradient tandem mass spectrometry (gMS
2) experiments was conducted by isolating the charged ion [
63]. The gMS
2 was carried out by isolating
S1 at
m/
z 1629.11 (15+) and
S2 at
m/
z 1999.46 (20+) with a graduated increase of the collision energy. As shown in Figs. S51 and S59 (Supporting information),
S1 and
S2 were completely dissociated at 50 V and 70 V respectively, indicating superior stability of the expanded structure. This may be attributed to the reduced molecular tension within the triangular prism introduced by the addition of the modular ligand
L2, leading to the reassembly from prototypical triangular-faced
S1 towards Sierpiński triangular-faced
S2.
To give an insight to the detail size and height information of
S1 and
S2, DOSY NMR, transmission electron microscopy (TEM) and atomic force microscopy (AFM) were further conducted. As shown in
Fig. 4, the DOSY experiments showed distinct bands at log
D = −9.80 (
D = 1.58 × 10
−10 m
2/s) and −9.96 (
D = 1.10 × 10
−10 m
2/s) for
S1 and
S2, respectively. This demonstrates the formation of sole and discrete species in solution. The TEM samples were prepared by drop-casting of uniformly dispersed
S1 and
S2 (in MeCN at a concentration of ~10
−6) on a super thin-carbon film-coated grid (Cu, 300 mesh). As shown in
Figs. 5A and
F, the TEM images of
S1 and
S2 revealed individual particles with an averaged measured diameter of 5.0 ± 0.2, and 6.2 ± 0.2 nm, which were comparable to the geometry-optimized structure of
S1 (
Figs. 5B and
C) and
S2 (
Figs. 5G and
H). In the AFM images of
S1 (
Figs. 5D and
E), a series of dots with height within a certain range (4.6–5.2 nm) were observed on the mica surface, which were in accordance with the different placement forms of
S1. AFM images of
S2 (
Figs. 5I and
J) show a series of dots with heights narrowly distributed between 5.1 nm and 5.2 nm on the mica surface, corresponding to the height of the simulated structure of triangular prism
S2.
The as-synthesized triangular prisms
S1 and
S2 featuring huge cavities, open windows, and uniformly distributed active metal ions, suggesting great potential applications in molecular catalytic field. Imines are pivotal chemical compounds playing a crucial role in a variety of scientific and industrial domains [
64,
65]. A promising approach for imine synthesis involves photocatalytic selective oxidative coupling of amines. The photocatalytic reaction was conducted in an NMR tube, illuminated by a Xe lamp (
λ > 420 nm, 300 W), using CD
3CN as the solvent, benzylamine as the substrate, and tert–butyl hydroperoxide (TBHP) as the oxidant. The progress of the photocatalytic reaction was monitored using NMR spectroscopy. As shown in
Fig. 6, triangular prism
S1 (the molar ratio to benzylamine and TBHP is 1:500:2500) demonstrated remarkable photocatalytic activity, achieving a 98% conversion rate (with a yield of 95% after isolation) of benzylamine into
N-benzylidine-1-phenylmethanamine within 60 min of exposure to light. In comparison, the larger fractal structure of Sierpiński triangle-faced triangular prism
S2, exhibited suprior photocatalytic performance with 98% conversion rate (with a yield of 94% after isolation) of benzylamine to the same product in only 30 min. The photocatalytic efficiency of ligands
L1 and
L2 was also examined, which performed ultra slower reaction rate within 200 and 300 min (Figs. S69 and S71 in Supporting information), respectively. The enhanced catalytic performace of
S2 might be attributed to the larger inner cavity for higher local concertration of the substrates and more active sites in the fractal expanded Sierpiński triangular faces, which facilitate the contact between the catalysts and small molecules and accelerate the catalaytic process. Furthermore, the substrate expansion experiments were further conducted by using supramolecule
S2 as catalyst under the same conditions (Figs. S73-S79 in Supporting information). Triangular prism
S2 exhibits excellent catalytic performances with various substrates, resulting in high efficiency with either electron donating or withdrawing substitution groups.
To further investigation the reaction mechanism for the oxidation of amine to imine, electron paramagnetic resonance (EPR) studies were conducted to detected singlet oxygen (
1O
2) in the presence of triangular prisms and 2,2,6,6-tetramethylpiperidine (TMPD) complex under visible-light irradiation in the CH
3CN solvent. As illustrated in Fig. S62 (Supporting information), the exposure of prisms
S1 and
S2 to 365 nm light resulted in the detection of a series of 1:1:1 triplet peak, indicating the presence of
1O
2. In the absence of light, no signals indicative of
1O
2 were detected. Additionally, the superoxide radical anion (O
2·−) was further tested. As shown in Fig. S63 (Supporting information), in the presence of O
2·− trapping agent 5,5-dimethyl-1-pyrroline
N-oxide (DMPO), the absorption signals of the DMPO—O
2·− adduct were observed for
S1 and
S2 under visible-light irradiation. These results indicated the promising photo-oxidational applications of these metallo-organic cages. According to the above analyses and literature reports [
66-
69], we proposed the possible reaction mechanism for this photocatalytic benzylamine oxidation (Fig. S64 in Supporting information).
In summary, we have successfully synthesized the 3D Sierpiński triangle-faced triangular prism by introducing a modular ligand into a prototypical triangular prism system via a fractal expanding strategy. Both triangular prisms S1 and S2 featured large cavities and high stabilities by using pre-designed metallo-organic ligands. NMR, ESI-MS, TWIM-MS, TEM, and AFM, and molecular modelling were used to determine the architecture of the supramolecules. Photocatalytic performances suggested that the expanded inner cavity and higher density of the surface exposed active sites might lead to more favorable photo-oxidative process. The efficient generation of 1O2 and O2·− determined by the EPR spectra figured out the possible mechanism of the photooxidation procedure, indicating great potential applications on functional photocatalytic materials. This work proposed a novel approach towards the fractal expanding of 3D metallo-organic cages, paving a new way for the controllable activity enhancement of artificial supramolecules with higher complexity.