Controllable photomechanical bending of metal-organic rotaxane crystals facilitated by regioselective confined-space photodimerization

Molecular machines based on mechanically-interlocked molecules (MIMs) such as (pseudo) rotaxanes or catenates are known for their molecular-level dynamics, but promoting macro-mechanical response of these molecular machines or related materials is still challenging. Herein, by employing macrocyclic cucurbit[8]uril (CB[8])-based pseudorotaxane with a pair of styrene-derived photoactive guest molecules as linking structs of uranyl node, we describe a metal-organic rotaxane compound, U-CB[8]-MPyVB, that is capable of delivering controllable macroscopic mechanical responses. Under light irradiation, the ladder-shape structural unit of metal-organic rotaxane chain in U-CB[8]-MPyVB undergoes a regioselective solid-state [2 + 2] photodimerization, and facilitates a photo-triggered single-crystal-to-single-crystal (SCSC) transformation, which even induces macroscopic photomechanical bending of individual rod-like bulk crystals. The fabrication of rotaxane-based crystalline materials with both photoresponsive microscopic and macroscopic dynamic behaviors in solid state can be promising photoactuator devices, and will have implications in emerging fields such as optomechanical microdevices and smart microrobotics. The preparation of materials that display macro-mechanical responses to external stimuli is challenging. Here, the authors synthesize metal-organic rotaxane frameworks that contain photoactive axles as linkers; light irradiation triggers photodimerization of the ligands, which leads to macroscopic photomechanical bending of individual bulk crystals.

A s a mimic of the macroscopic counterparts, artificial molecular machines 1-3 that can undergo precisely controlled dynamic motion at the molecular level upon stimulation by external signals such as light 4,5 , electricity 6 or chemical reagents 7 have attracted considerable attention in recent years. Mechanically interlocked molecules (MIMs) including rotaxanes 8,9 , catenanes 10,11 , and other molecular assemblies with more sophisticated structure 12,13 , which incorporate different kinds of organic macrocyclic molecules such as crown ether 14,15 , cyclodextrin 16 and cucurbituril 17 and feature intrinsic dynamic nature, have been often utilized as key constituent components of certain molecular machines 18,19 . To date, most molecular machine systems are designed to work in solution where each work unit is isolated from each other and functions independently and incoherently. For example, a variety of molecular machines reported so far including molecular switches 20,21 , molecular pump 22 , molecular motors [23][24][25] , molecular muscle 26,27 , and molecular robot 28 are capable of making increasingly complex operations in aqueous or nonaqueous environments, where different sets of supramolecular motifs are dispersed and separated individually in solution. However, when extended to a solidstate system with significantly shortened intermolecular distances and massive intermolecular interactions that is dramatically different from a solution environment, it is still challenging to construct MIM-based molecular assemblies with structure dynamics in solid. It is supposed that the dynamic performance of MIMs in such a condensed state could be largely inhibited by great steric hindrance of neighboring atoms and a large number of weak interactions between them.
To reduce the influence of surrounding environment on MIM motifs in solid, a feasible method would be to place the dynamic MIM components into solid-state materials with large pores such as metal-organic frameworks (MOFs) with attractive properties, such as easy synthesis, controllable structure, multiple functions and high thermal and chemical stability [29][30][31][32][33][34][35] . For example, when rotaxane or pseudorotaxane is utilized as the linker of MOF materials, the MIM unit of rotaxane would have more free space in the resultant metal-organic rotaxane framework (MORF) materials, and could be able to undergo motion of rotation, translation or isomerization inside this kind of porous materials 14,15,[36][37][38][39][40][41][42][43] . Nevertheless, the dynamic changes of MIM motifs in those solid-state materials reported so far are merely restricted at the molecular-or nano-scale, whilst the synergistic effects between different MIM units in solid have been rarely exploited 44 . Solid-state molecular machines have, as compared to molecular machines working in solution, a higher degree of molecular organization and structural order due to the characteristics of condensed phases. If the many molecules in solid state, especially in the crystalline state, can be appropriately arranged through reasonable assembly strategies to effectively accumulate molecular-scale strain or stress, it is possible to realize the conversion of microscopic structural changes to macroscopic deformation or motion of the bulk material for these solid-state molecular machines, just like an actuator that can transform external energy to mechanical work (Fig. 1a).
For the design of macroscopic actuator, there are two key issues that need to be taken into account: the external energy input to trigger molecular-level dynamics and structure assembly strategies to realize the conversion from molecular level to macroscopic level. Among different forms of energy stimuli including mechanical force or pressure, heat, light and electric fields, light is one of the most attractive forms since it possesses several excellent attributes such as remote non-destructive control, adjustable wavelength, intensity and polarization, and easy operation 45,46 . Furthermore, the energy-conversion path for these lightcontrolled actuators (namely photoactuators) relies mostly on photochemical actuation involving reversible shape-changing photoreactions (such as photoisomerization, photodimerizaiton and photocycloaddition) of photoactive groups activated by visible or ultraviolet (UV) light. A typical case of photochemical reaction is the photodimerization of olefin derivatives first reported by Schmidt et al 47 as early as 50 years ago, of which the proceeding in solid requires proper stacking arrangement of photoactive ligands in space and strict distance between the photoactive ligands [48][49][50] . Different strategies such as using small organic molecules 51 , metal organic skeleton 52 , coordination with metal cations 53 , cation-π interaction 54 and supramolecular encapsulation 55 are employed to guarantee the structure requirement of photodimerization. In MIM-based actuator, this structural requirement could be fulfilled by elegant design of rotaxane units through simultaneously confining two photoactive guests in a macrocyclic cavity. Besides the energy route to achieve molecular dynamics, the structure assembly is also crucial to the macroscopic actuation of actuators, as it can realize the accumulation and amplification of molecular-scale stress caused by molecular deformation. Exactly, the anisotropic assembly and packing of crystalline MORF materials would be very helpful to effectively reduce the stress dissipation. Meanwhile, placing photoactive groups on the material framework, like incorporating the photoactive axles as linking struts into MORFs to promote greater photo-induced structural changes and internal stress could be a feasible architectural design strategy.
Herein, a bifunctional styrene-derived photoactive ligand (E)-4-[2-(methylpyridin-4-yl) vinyl]benzoic acid ([HMPyVB]I) is designed, which can form a [G 2 @H] psudorotaxane (G: guest molecule, H: host molecule) with a pair of aromatic moieties of [HMPyVB] + or MPyVB encapsulated in the cavity of cucurbit [8] uril (CB [8]) macrocycle, and further coordinate with metal ions through the deprotonated carboxylate group (Fig. 1b). By utilizing the in-situ assembly between [HMPyVB]I, CB [8] and uranyl ion, we report a kind of photoresponsive MORF, U-CB[8]-MPyVB, that contain photoactive MPyVB guest molecules trapped in the cavity of macrocyclic CB [8] host. Benefitting from the presence of (MPyVB) 2 @CB [8] linker, the UV light-induced molecular dynamics in the solid-state U-CB[8]-MPyVB sample is achieved via a regioselective [2 + 2] photodimerization-based single-crystal-to-single-crystal (SCSC) transformation, and examined in detail by using a set of characterization techniques including single-crystal X-ray diffraction analysis, 1 H NMR, IR and fluorescence spectra. More strikingly, the photodimerization reaction at molecular scale even induces macroscopic photomechanical bending of individual bulk crystals, which demonstrates a photoactuation system based on photoresponsive MORFs. The macroscopic deformation of this crystalline photoactuator has been characterized, and a deep understanding of photomechanical actuation mechanism of U-CB[8]-MPyVB has been also provided through a comprehensive analysis and comparison.    Fig. 2b), which meets the Schimdt's topochemical criteria (<4.2 Å) in solid state. By means of supramolecular inclusion and coordination linkage, two infinitely extended 1-D metal organic rotaxane chains are achieved along aaxis. These two one-dimensional chains are connected by Motif 2 ((MPyVB C ) 2 @CB[8] B , Fig. 2c) to form a ladder-like chain (Fig. 2d).

Synthesis
The distance between two C=C double bonds from this pair of MPyVB C is 4.50 Å, which seems to be too long to meet the requirement of [2 + 2] photodimerization reaction. Furthermore, noncovalent interactions including hydrogen bonding, π···π stacking and C-H···π interactions between adjacent CB [8] moieties finally lead to the formation of a 3-D framework structure (Fig. 2e). An interesting question is how U-CB [8]-MPyVB can be assembled by a one-pot method. Given possible competition between metal coordination of MPyVB and its supramolecular encapsulation by macrocyclic CB [8] during the formation process of U-CB[8]-MPyVB, two possible assembly routes are proposed: (1) Deprotonated MPyVB first coordinates to uranyl to form an intermediate of uranyl-MPyVB complex, which is further connected by CB [8] through supramolecular inclusion to obtain the final MORF (Fig. 3a). A test experiment employing a different feeding order, i.e., firstly mixing UO 2 (NO 3 ) 2 ·6H 2 O and [HMPyVB]I followed by the addition of CB [8] macrocycles, shows that, a large amount of precipitate generate immediately after simply mixing UO 2 (NO 3 ) 2 ·6H 2 O and [HMPyVB]I in the aqueous solution, which remains unchanged after hydrothermal treatment. Similar phenomenon is observed even if an interface diffusion method is used to reduce the contact velocity between UO 2 (NO 3 ) 2 solution and [HMPyVB]I solution (molar ratio is 1:1). The precipitation effect between [HMPyVB]I and uranyl should be attributed to strong coordination bonding between uranyl and the carboxylate group of [MPyVB], which has been identified in several previously-reported uranyl complexes with similar pyridium-or viologen-functionalized organic carboxylate linkers that are insoluble in aqueous solution ( Supplementary Fig. 6) [56][57][58] . Since the emerging of the precipitation reaction between [HMPyVB]I and uranyl will prevent pseudorotaxane formation between [HMPyVB]I and CB [8], the assembly mechanism of coordination followed by supramolecular inclusion can be excluded. (2) Fig. 7 and Supplementary Fig. 8). In addition, single crystal of CB[8]-HMPyVB intermediate was also successfully isolated, and single crystal structure analysis shows that two HMPyVB + motifs are encapsulated by a CB [8] host with the distance between C=C double bonds in them is 4.44 Å ( Supplementary Fig. 9). Furthermore, the hydrothermal reaction of deprotonated CB  Supplementary Fig. 12 -MPyVB before UV irradiation, the vibration peak at 1622 cm −1 that is assigned to C=C absorption band is obviously weakened in U-CB[8]-MPyVB-A after UV irradiation, and the remaining absorption intensity may also belong to MPyVB without photodimerization (Fig. 4c). The shift trend of infrared spectrum in control experiment based on photoactive (HMPyVB + ) 2 @CB [8] complex in aqueous solution is consistent with the above result ( Supplementary Fig. 14).
The above results show that the photodimerization of photoactive ligands in these crystalline materials has been successfully realized through structural changes under UV irradiation. With that in mind, a high-quality U-CB[8]-MPyVB-A crystal was selected and subject to UV irradiation in-situ for 1 h, which is subject to single X-ray diffraction analysis to unveil the photo-triggered single-crystal-to-single-crystal (SCSC) transformation. As is shown in Fig. 4d, the photochemistry does occur in Motif 1 (photoactive motif,  Supplementary Fig. 15), which is not described here. While Motif 2 (named photoinert motif, Fig. 4f) does not undergo photoreaction, it shows only slight conformational changes. For instance, the distance between C=C double bonds from two MPyVB ligands changes from 4.50 Å to 4.68 Å. Thermogravimetric analysis shows that U-CB[8]-MPyVB-A has no weight loss before 300°C, indicating that the compound also has good thermal stability, which is similar to that of U-CB[8]-MPyVB ( Supplementary Fig. 3). It is worth mentioning that, when the irradiation time was reduced to as short as 10 min, an elegant intermediate named as U-CB[8]-MPyVB-Int was captured ( Supplementary Fig. 16), which contains both possible moieties at the initial site of photoactive motif, a pair of styrene groups without photodimerization and photodimerizing cyclobutene product, respectively. The successful isolation and characterization of U-CB[8]-MPyVB-Int confirms that the photodimerization transformation proceeds through a relatively slow kinetic process.
Factors for promoting regioselective solid-state photodimerization: supramolecular inclusion and simultaneous coordination. Because molecular movement in the solid state is greatly restricted, the solid-state photodimerization reaction is more difficult than that in the liquid state. Many factors might have influence on this process, and the distance between C=C double bonds of adjacent photoactive ligands should be one of the most crucial for the realization of solid-state photodimerization 59 . For instance, we have tried to irradiate the crystals of single [HMPyVB]I ligand (Supplementary Fig. 17) with ultraviolet (365 nm) light. Even after a long irradiation time (150 min),  Fig. 18 [8] has been used as a typical nano reactor to promote some photochemistry reaction because it could incorporate two photoactive guests and limit them to a suitable distance easily by the confinement effect, thus promoting the [2 + 2] photodimerization with high efficiency 60,61 . Up to now, CB [8] has been successfully applied to the photodimerization of olefins 62 (Fig. 5a), and 1 H NMR monitoring of CB[8]-HMPyVB after light irradiation confirms this point (Supplementary Fig. 19). The results suggest that, although the introduction of CB [8] macrocycles can restrain the photoactive ligands to a certain distance, this current distance is still not enough for the [2 + 2] photodimerization.
Interestingly, the [2 + 2] photodimerization is finally achieved in U-CB[8]-MPyVB, a uranyl-linked metal-organic rotaxane compound. Inspired by the coordination ability of carboxyl groups at both ends of CB [8]-HMPyVB and carbonyl oxygen at the port of CB [8], uranyl ions with flexible coordination modes are further introduced as metal nodes of CB [8]-HMPyVB to construct the coordination compound. It's worth mentioning that there are two kinds of (MPyVB) 2 @CB[8] motifs in one MORF structure, which can be called, according to the distance of C=C double bonds and photoresponsive performance, as photoactive motif and photoinert motif, respectively (Fig. 5b, c). Although the chemical components of these two motifs are identical, their molecular conformations as well as photoactivities are totally different due to the differences between them in uranyl coordination patterns. This difference in assembly structure leads to the regioselectivity of the photodimerization reaction in the macrocyclic CB [8] cavity, which will be demonstrated in detail below.
In photoinert motif, after coordination with uranyl ions by the carboxyl group (in bridging bidentate mode) at the end of MPyVB C , the benzoic acid motif will rotate around the C=C bond relative to pyridine ring in order to meet the needs of coordination environment (Supplementary Table 1). The whole MPyVB C is fixed by the tetranuclear uranyl center through coordination with a downward movement (about 3.9°) with respect to the initial conformation of HMPyVB B (Fig. 5b and Supplementary Fig. 20). This downward movement of the fixed end will lead to the upward movement of the other end so as to release the possible strain, and finally the distance of C=C bond increase slightly from 4.44 Å to 4.50 Å (the schematic model was proposed in Fig. 5d). The impossibility to carry out [2 + 2] photodimerization at such distance makes this motif to be a photoinert one. On the contrary, the situation is quite different if the photoactive guests and macrocycle parts participate in uranyl coordination at the same time as seen in Fig. 5c. Specifically, uranyl ions in tetranuclear uranyl center first coordinate with the carboxyl group of MPyVB D through μ 2 -(η 1 , η 2 ) coordination mode. Then in order to further coordinate with the carbonyl oxygen of the CB [8], the whole uranyl-MPyVB D system will move close to the portal of CB [8], and at the same time, it also pull the carboxyl end to bend up and rotate by 7.9°around C=C bond ( Supplementary Fig. 20), thus driving the C=C bond of MPyVB D to move toward the other photoactive ligand (MPyVB E ), and reducing the distance between them. Meanwhile, a proper rotation angle about 15.2°for MPyVB E helps to stabilize the conformation to a great extent by π-π stacking between these two MPyVB units. Ultimately, simultaneous coordination of  MPyVB and CB [8] with one uranyl center induces the distances between C=C bonds of MPyVB D and MPyVB E to reach to a suitable value (3.69 Å and 3. 96 Å), which fit well with Schimdt's topochemical criteria (less than 4.2 Å) for [2 + 2] photodimerization in solid state and function as photoactive motifs (the schematic model was proposed in Fig. 5e).
Structural adaptability and coordination capacity of macrocyclic CB [8]. Generally, the existence of axial guest molecules will greatly increase the steric hindrance around cucurbit[n]uril portals, thus reducing the coordination ability of these rigid macrocycles. On the other hand, we have reported that, self-adaptive CB [6] will be distorted after complexation with the "unsuitable" guest molecules, which is helpful for the carbonyl ports of CB [6] to reduce the steric hindrance from the guest molecules and endows the macrocycle CB [6] with certain coordination ability 70 . In this work, the adaptability of CB [8] also plays a very important role in inducing the formation of photoactive motif. As is shown above, it is the adaptive deformation of CB [8] that makes the wheel macrocyclic molecule participate together with the axle molecule in the coordination with the same uranyl node, and subsequently brings the C=C bonds of encapsulated axle molecules closer. In these interestingly MORF based on CB [8], the axis and the wheel participating in coordination with metal center at the same time. Moreover, this MORF structure even includes both coordinated CB [8] (photoactive motif) and non-coordinated CB [8] (photoinert motif).
In order to quantitatively describe the adaptive deformation of CB [8] in different environments, we define the degree of deformation in adaptive CB [8] at diverse condition by the value d max /d min , where the d max and the d min are the maximum distance and minimum distance between two relative carbonyl oxygen in the portals of CB [8] respectively. As is shown in Fig. 6 [8] C can prove this deformation, which increases by 10.71% relative to CB [8] A and is almost six times as great as that of CB [8] B . Moreover, because only one end of carbonyl oxygen in CB [8] participates in the coordination (green atom in CB [8] Fig. 6), we wonder whether the effect of metal coordination on the deformation of CB [8] macrocycle is symmetrical. We rotate CB [8] by 180°along the symmetry axis with the plane to get the back view of these CB [8]. The back view of CB [8] A and CB [8] B have no change compared with that of front view, which is reasonable because both of two MPyVB participate in the coordination. On the other hand, we can see that the d max /d min values in the front view and the back view of CB [8] C are quite different because the d max /d min of the back view is 1.14, which is 8.8% lower than the former. The difference between the front view and the back view suggests that uranyl coordination can induce further deformation of CB [8]. In other words, the self-adaptability of CB [8] greatly reduces the steric hindrance of its portals and enables it to participate in the coordination, and in turn, the uranyl coordination of CB [8] portals further exacerbated the deformation of CB [8]. In all, the adaptivity of CB [8] plays a crucial role in the formation of photoactive motif in U-CB [8]-MPyVB through mutual effects of supramolecular inclusion and coordination bonding.

Photoactuating behavior of bulk crystals of U-CB[8]-MPyVB.
Besides microscopic photo-triggered dynamics as shown above, the photoresponsive behavior of U-CB [8]-MPyVB is first unveiled through its photoinduced motion and macroscopic bending ( Supplementary Fig. 10 and Supplementary Movie 1). Besides the rotaxane-based assembly of U-CB[8]-MPyVB to effectively accumulate molecular-scale strain or stress, this macroscopic photoactuating behavior of bulk crystals should be originated from the changes of microscopic structure of U-CB[8]-MPyVB, just like the cases in other photoactuating systems that link macroscopic mechanical response to contraction and expansion of anisotropic lattice [71][72][73][74] . Nevertheless, different from other photo-actuated systems, the U-CB[8]-MPyVB system reported here that is a MORF largely relies on both supramolecular inclusion and host-guest coordination. The participation of 9 rotaxane functional unit in the photoactuating process will make its macroscopic light actuation behavior be significantly different from traditional photoactuators. Therefore, continuing efforts are focused on the characterization of photoactuating behavior of bulk crystals of U-CB[8]-MPyVB.
Three rodlike crystals (Crystal-A, Crystal-B and Crystal-C) in different sizes were first selected to figure out the effect of crystal dimension on photoinduced bending behavior. We fixed one end of the crystal on the test platform in air so that it stands vertically and then subject to incident light in specific direction (365 nm, 6 W). As is shown in Fig. 7a, Crystal-A with a length of about 320 μm bends slowly from a straight line towards the direction of incident light when exposed to ultraviolet light for 10 min. For Crystal-B with longer size (about 720 μm), as we expected, the bending degree is higher than that of Crystal-A under the same illumination time, and the bending phenomenon continues until 20 min (Fig. 7b). Crystal-C with thicker trunk gives a slight bending movement about 9°within 20 min and the degree of bending was significantly lower than that of Crystal-A and Crystal-B (Fig. 7c), proving that a crystal with a larger size requires larger the cumulative stress in bending progress. The bending phenomenon of these three pieces of crystals can be seen more clearly in the Supplementary Movies 2-4. The crystal still maintains the bending morphology when the incident light source is removed. Moreover, none of the three crystals show light-induced damage after a long period of radiation, which indicates that U-CB[8]-MPyVB has a good stability in air.
These results suggest that this delicate system can convert photonic energy into mechanical energy at the macroscopic scale, and the observed light-driven bending is the result of the delicate balance of crystal size, tensile stress and exposure time to the incident light source, etc.
In order to further explore the photo-induced bending behavior of U-CB[8]-MPyVB, we choose Crystal-B as the representative and quantify the function of bending angle (φ) changing with time (t) by an exponential function (Fig. 7d). The dynamic bending process of Crystal-B in 20 min can be expressed by the Eq. (1): 75 Where k represents the response time constant, t represents the irradiation time (min) and Φ the actuation response time coefficient. As is shown in Fig. 7e, the experimental results are perfectly agreed with the theory, and R 2 = 0.9997 can also proves its correctness, which means the relationship between irradiation time and bending angle has been established.  Table 3). It can be seen that in the photodimerization process for two MPyVB ligands, the intermediate C=C bonds are close to each other and slowly dimerize into a cyclobutane with the final distance of about 1.60 Å. Meanwhile, methylpyridine and benzoic acid moiety at two ends of bisMPyVB are far away from each other, like a butterfly spreads its wings, from the original 3.47 Å increased to 5.21 Å ( Supplementary  Fig. 21). As the host, the adaptive CB [8] also takes the corresponding conformational adjustment to match with the change of the guest molecules in the cavity. The vertical distance of CB [8] along the b-axis is contracted from 13.40 Å to 12.86 Å, which is account for the contraction/expansion of unit cell in U-CB[8]-MPyVB (Fig. 8b). Exactly, the length of crystallographic axis b decreased by 2.55% (from 21.21 Å to 20.67 Å, see Supplementary Table 3 for details). While there is no obvious change in a-axis and c-axis because of the existence of strong coordination bonds. Crystal face index analyses reveal that the whole 1-D chains stack layer by layer in (100) plane through weak interactions, which provides the possibility of accumulation of shrinkage stress in b-axis direction. When the light exposed surface (100) plane of U-CB [8]-MPyVB crystal is subject to UV radiation, the crystal plane pointing towards the incident light shrinks along the b axis, while the light shielding surface ( 100 100) plane keeps it as it is. A similar case of photomechanical bending of bulk crystals through an anisotropic photoresponsive mechanism was reported by Vittal's group 76 . The single crystal structure of intermediate state (U-CB [8]-MPyVB-Int) as discussed above can also prove the possible coexistence of both reacted and unreacted parts (Supplementary Fig. 16). Finally, the gradual stress accumulation between them accounts for the dynamic bending of the crystal at macroscopic level (Fig. 8b), and the conversion of microscopic structural changes to macroscopic deformation is realized.
As far as we know, the light-response rate of most reported photoresponsive crystal materials based on solid-state photochemical reaction is often very fast (Supplementary Table 4) [48][49][50]74 . But the photo-induced bending rate of crystal materials reported here is much slower, and falls within the range from hundreds of seconds to thousands of seconds that is two orders of magnitude slower compared with other photoresponsive crystal materials. The main reasons for this difference in photoresponsive dynamics are proposed as followed. (1) 3) The most important point is that, although the structures of most photoactive ligands will change greatly after photodimerization, the confinement effect of CB [8] in U-CB [8]-MPyVB here restrain the photodimerizationinduced structural changes (Fig. 9). Meanwhile, due to the pillaring effect of macrocyclic CB [8] in 3D lattice through intensive hydrogen bonding interactions, the macroscopic bending behavior is mainly originated from the stress related with selfadaptive deformation of CB [8] accumulated in space after the photodimerization of MPyVB in CB [8] cavity. Since the structure change of the macrocycle is only an adaptive adjustment after the photodimerization of the photoacitve guests, the overall structure change is much smaller than that of the guests. Therefore, the photoresponsive effect of U-CB[8]-MPyVB is not that remarkable like those of other photodimerization systems without macrocyclic restriction (see Fig. 9) 50,77 . For instance, after photodimerization, the volume of the whole cell decreases only by 1.66%, and the b-axis, which is the most obvious change in the coordinate axis, also decreases only by 2.55%, which is far lower than the changes of cell parameters of other photoresponsive crystals before and after UV irradiation (Supplementary Table 4). In all, the photoresponsive performance and bending rate of photoactuators are influenced by many factors such as size of the crystal, the intensity of incident light and temperature, etc. It seems that, unlike most photoresponsive crystals are often bent at a large angle in a very short time, U-CB[8]-MPyVB is not sensitive enough to light stimulus here, thus providing possibility to accurately induce the bending motion by light in a controllable manner.

Discussion
In this work, we successfully synthesized a photoresponsive metalorganic rotaxane framework (MORF) compound, U-CB [ ), were added into a 15 mL polytetrafluoroethylene hydrothermal reactor, and then 2 mL deionized water was added.
The solvent was evenly distributed by ultrasonic vibration for 5 min, and then 140 μL uranyl nitrate solution (0.5 M) was added. After heating at 150°C for 48 h and natural cooling to room temperature, light yellow rodlike single crystals was obtained, which was suitable for single crystal X-ray diffraction. The crystals were collected by centrifugation, then washed with deionized water (10 mL) for three times, filtered and dried in vacuum. Finally, 35.5 mg light yellow single crystals were obtained with the yield of 49.7%. Method 2. CB [8]-HMPyVB (51.6 mg, 0.025 mmol) was added into a 15 mL polytetrafluoroethylene hydrothermal reactor, and then 2 mL deionized water and uranyl nitrate solution (140 μL, 0.5 M) were added. The solvent was evenly distributed by ultrasonic vibration for 5 min. After heating at 150°C for 24 h and natural cooling to room temperature, light yellow rodlike single crystals was obtained, which was suitable for single crystal X-ray diffraction. The crystals were collected by centrifugation, then washed with deionized water (10 mL) for three times, filtered and dried in vacuum. Finally, 38.5 mg light yellow single crystals were obtained with the yield of 53.9%.

Data availability
All data needed to support the conclusions of this manuscript are provided in the main text or Supplementary Information Fig. 9 Effect of the supramolecular confinement of CB [8] on the ligand conformations after photodimerization. The confinement effect of CB [8] in U-CB [8]-MPyVB restrain the photodimerization-induced structural changes of photodimerization product, so the distance between methylpyridine and benzoic acid moiety at two ends of bisMPyVB is smaller than that in the traditional photodimerization product.