Increasing structural and functional complexity in self-assembled coordination cages

Progress in metallo-supramolecular chemistry creates potential to synthesize functional nano systems and intelligent materials of increasing complexity. In the past four decades, metal-mediated self-assembly has produced a wide range of structural motifs such as helicates, grids, links, knots, spheres and cages, with particularly the latter ones catching growing attention, owing to their nano-scale cavities. Assemblies serving as hosts allow application as selective receptors, confined reaction environments and more. Recently, the field has made big steps forward by implementing dedicated functionality, e.g. catalytic centres or photoswitches to allow stimuli control. Besides incorporation in homoleptic systems, composed of one type of ligand, desire arose to include more than one function within the same assembly. Inspiration comes from natural enzymes that congregate, for example, a substrate recognition site, an allosteric regulator element and a reaction centre. Combining several functionalities without creating statistical mixtures, however, requires a toolbox of sophisticated assembly strategies. This review showcases the implementation of function into self-assembled cages and devises strategies to selectively form heteroleptic structures. We discuss first examples resulting from a combination of both principles, namely multicomponent multifunctional host–guest complexes, and their potential in application in areas such as sensing, catalysis, and photo-redox systems.

Pullen has recently been appointed as assistant professor in homogeneous, supramolecular and bio-inspired catalysis at the Van 't Hoff Institute for Molecular Sciences at the University of Amsterdam. She holds a bachelor degree from WWU Münster and a master degree in chemistry from Uppsala University. From 2012-2017 she performed her doctoral research at Uppsala University with Sascha Ott, where she developed strategies to mimic the outer coordination sphere in [FeFe]-hydrogenase active site models. From 2018 she worked as a post-doctoral researcher funded by a fellowship of the Marie Skłodowska Curie Actions Program in the group of Guido Clever at TU Dortmund, where she investigated the potential of coordination cages for light-driven processes. Her current research focuses on metal-organic frameworks (MOFs) and discrete coordination cages with application in articial photosynthesis and organic photo-redox catalysis. Jacopo Tessarolo is a postdoctoral researcher in the group of Guido Clever at TU Dortmund since 2018. He studied chemistry at the University of Padova, where he obtained his master degree in 2012 and his PhD in 2017 in the group of Professor Lidia Armelao, working on metallosupramolecular architectures based on transition metals and lanthanoid ions. From 2017 he worked as a post-doctoral researcher at ICMATE-CNR in Padova with Marzio Rancan, where he investigated supramolecular cages based on beta-diketonate ligands. His current research focusses on integrative self-sorting of functional heteroleptic cages and the investigation of circularly polarized luminescence (CPL) in supramolecular compounds.

Introduction
The self-assembly of discrete nanoscale host architectures such as rings, cages and spheres has evolved into a vibrant subeld of supramolecular chemistry over the last decades. [1][2][3][4] Routes to assemble such compounds can be primarily subclassied into hydrogen-bonded, 5,6 dynamic-covalent 7-12 and metal-mediated approaches. [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] In the latter category, most systems are built up from a combination of two major components: metal centres acting as nodes, and organic ligands serving as bridges to join the nodes into a regularly shaped, 3-dimensional object with an accessible cavity. Metal nodes are mostly from the transition elements, but systems based on main group metals have been reported as well. 29 Organic bridges are multitopic ligands with two or more donors of same or differing chemical structure and a backbone that determines size and shape of the assembly and can carry extra functional or solubilizing groups. While the individual donor groups can be mono-or multidentate, ligands are usually designed not to chelate the same metal so they serve as bridges between different metal nodes (a recent notable exception is a cavity formed by a pair of mechanically entangled "gure-eight"-shaped Pd II -chelate complexes 30 ).
In order to create discrete, monodisperse products, a dened curvature is introduced within the structure of the organic bridge, the geometry of the coordination sphere, or both. Following fundamental mathematical principles, the formed shape of the hollow object is in most cases highly symmetric with all ligands adopting uniform positions around the central void space.
While this leads to beautiful structures, e.g. ones resembling the Platonic, Archimedean or similar solids, 31,32 the ability to only incorporate one type of organic ligand at a time puts a limit on equipping these cages with advanced functionality such as selective recognition and chemical transformations inside the cavity. In particular when comparing self-assembled cages to their oen-called natural paradigmsprotein-based enzymesone realizes that their complexity differs vastly. 33,34 Cavities around the active sites of enzymes are of low symmetry, chiral, and contain a mix of different chemical functionalities such as recognition sites, catalytic groups and conformational switches.
Can this structural and functional complexity be mimicked by articial self-assembled structures? Differently functionalized ligands of otherwise same shape and dimensions can certainly be mixed and subjected to metal-mediated (or dynamic covalent) assembly. However, this usually leads to complex product mixtures governed by a statistical distribution of the components within the structures. [35][36][37] In contrast, in this review we focus on strategies for the rational introduction of multiple building blocks into metal-mediated architectures. Our discussion will be held on two different levels ( Fig. 1): on the one hand, we present a critical discussion on synthetic approaches for the integrative, non-statistical formation of a single desired assembly product from a variety of individual components. We set focus on the assembly of heteroleptic coordination cages, i.e. structures containing two or more unequal ligands. We distinguish between different synthetic strategies (e.g. shape complementarity, coordination sphere engineering, exploitation of secondary interactions.) and illustrate these principles with examples from the recent literature. On the other hand, we examine the introduction of functionality into supramolecular cages. Here, most reported examples up to now still feature only one single functionality, two functions but in statistical fashion, or one function based on a ligand's chemistry and another resulting from the entire assembly (e.g. guest uptake) or the metal node. So far, the nonstatistical combination of structural complexity in terms of heteroleptic assembly with two or more distinguishable functionalities, acting together to create an emergent property, has rarely been reported. 38 While we cover a few examples in this review (and most reported are rather rings than cages), the controlled implementation of multiple functionalities into self- assembled, 3-dimensional nano connements is a research eld in its infancy, showing the potential to yield a new level of supramolecular devices and materials in the future. Within this review, we highlight developments in this direction with a choice of examples from the literature, including some our own laboratory's work. As we could not cover all so far reported studies comprehensively, we apologize for what might not have found entry into this selection and refer to further reviews in this direction. 26,[39][40][41][42][43] 2. Increasing structural complexity Coordination cages are constructed from single metal nodes or, sometimes, small metal clusters that are bridged by multitopic ligands. Numerous homoleptic coordination cages have been reported in the literature and well-studied in terms of structure, host-guest dynamics and reaction enhancement. [44][45][46][47][48] Most assembly strategies for such systems are based on nodes that either consist of cis-or trans-protected transition metal cations or "naked" metal ions whose coordination spheres are fully occupied by the donors of the bridging ligands. 38 The desire to increase the complexity of such systems by combining two or more different ligands (or metals) to give one individual supramolecular object has motivated researchers to develop sophisticated strategies for heteroleptic (or heterometallic) assembly. 42,[49][50][51] While the synthesis of heteroleptic structures based on the cis-or trans-protected metal nodes has already advanced to high levels, with numerous examples from Stang, 52 Fujita, 53 Mukherjee 54 and others, the exploration of heteroleptic assembly based on unprotected metal cations such as Pd II has only recently been successful. 36,38 Certainly, heteroleptic coordination cages can be easily obtained by simply mixing different ligands with similar size and shape. This, however, leads to statistical mixtures that may serve certain applications quite well but usually lack unambiguous spectroscopic signatures. This complicates drawing clear structure-function relationships. In order to achieve better control over stoichiometry, stereochemistry and structure of such assemblies, the development of methods for the nonstatistical formation of only one desired product from a mixture of different individual building blocks is essential.
In the following discussion we focus on four different approaches that have been used for the controlled assembly of non-statistical heteroleptic coordination cages: (a) coordination sphere engineering (CSE), (b) shape complementary assembly (SCA), (c) non-symmetric ligands and (d) backbone-centred steric hindrance (Fig. 2). These strategies can also be combined with each other. In addition to the combination of two or more different ligands, structural complexity can also be achieved when the same ligand is sitting in different positions within a single supramolecular cage. We include a brief discussion on such kind of structures at the beginning. In order to favour integrative self-sorting, i.e. to avoid either narcissistic orthogonality or forming statistical mixtures of all possible constituents but sort the system towards one single target-compound, energetic benets arising from enthalpic and entropic effects have to be considered. 55 In this sense, certain structural features and supramolecular interactions can either be used to destabilize the homoleptic species, or to specically stabilize the heteroleptic compound, thus leading to a clean and predictable assembly outcome. The most important goal in this respect is to overcome the entropic drive to produce random ligand combinations which is oen a major hurdle when working with dynamically self-assembling species in thermodynamic equilibrium.

Homoleptic systems with ligands adopting different positions
A surprising degree of structural complexity can already be achieved by using only one type of ligand and metal (homoleptic species) when the same ligand occupies different positions in the resulting metallo-supramolecular structure, or when interlocked structures are formed, resulting in desymmetrisation of the ligand. Interlocking as key structural motif was described for a variety of interpenetrated cages, 56 60 Recently, we contributed a [Pd 2 L 4 ] host with a new mechanically-interlocked motif, consisting of a pair of doublyinterlocked, gure-eight-shaped lemniscates. 30 Even higher complexity was reported by Lützen and co-workers, with a rotaxane-like cage-in-ring structural motif, where a BODIPYbased bis-pyridine ligand (1) self-assembles with Pd II cations to form a compound of [Pd 6 1 12 ] stoichiometry (Fig. 3a). The structure was identied as entirely new motif that consists of both a lantern-shaped [Pd 2 1 4 ] cage and a [Pd 4 1 8 ] ring species, where the cage is embedded in the centre of the ring and stabilized by means of p-p interactions. 61 A further example of homoleptic structures with the same ligand occupying different positions is found among the possible topologies resulting from the [Pd 4 L 8 ] stoichiometry. Besides 4-membered rings and interpenetrated dimers, 4 one further conceivable structure is a tetrahedron-like arrangement in which four edges consists of one single ligand, while the remaining two edges are double bridged by two ligands. [62][63][64] Again, Lützen and co-workers were the ones to report an example of such a tetrahedral [Pd 4 L 8 ] compound, albeit a strongly distorted, that relies on an anion templating effect. Four of its chemically identical ligands (2) adopt a C-shaped conformation whereas the other four adopt a twist-folded W-shaped arrangement (Fig. 3b). 65 These examples demonstrate how relatively high structural complexity can already be achieved by using only one type of ligand. However, it is desirable to combine more than one type of ligand in selective and predictable ways as this would allow to construct multifunctional systems. In the following sections we will focus on approaches to form such heteroleptic structures using "naked" metal ions, meaning that all coordination sites on the metal nodes are occupied by donor groups of the bridging ligands.

Coordination sphere engineering
A rst concept that has been used to prepare heteroleptic metallo-supramolecular cages is the so-called coordination sphere engineering (CSE) approach. This strategy relies on a specic design of the donor sites surrounding the metal centre. For instance, ligands with large substituents close to the donor site increase steric hindrance around the metal centre, thus inuence its coordination behaviour and favour the heteroleptic combination with less bulky ligands. Alternatively, functional groups that contribute to weak interactions (e.g. hydrogen bonds) can be added, allowing to foster the formation of heteroleptic over homoleptic species due to a specic enthalpic gain that can only be realized by the combination of different ligands around the metal nodes. These concepts have been widely studied for cis-protected metal ions. 43,49 More recent studies in the literature demonstrate how this approach can be applied to systems based on "naked" metal ions that shall be the focus of this review. In case of the popular square-planar Pd II cations, a balanced choice of donor combinations can leadin the simplest dinuclear assembliesto the formation of heteroleptic cis-or trans-congured [M 2 L A 2 L B 2 ] cages, the controlled assembly of [M 2 L 3 Solv 2 ] bowl-shaped structures (Solv ¼ coordinating solvent) or even [M 2 L 2 Solv 4 ] rings.
The latter two can act as platforms for the formation of even more complex heteroleptic species (Fig. 4 and 27): While steric congestion around the metal ion prevents further bulky ligands from saturating the coordination sphere and the remaining "free" positions are occupied by coordinating solvent molecules, these may then be replaced by ligands presenting less steric bulk and higher coordinative strength.
The following examples serve to illustrate these principles.
The coordination sphere engineering strategy has recently been used by Clever and co-workers to assemble a heteroleptic cis-[Pd 2 L A 2 L B 2 ] cage from bis-monodentate picolyl ligands. 66 The authors reported four different ligand derivatives, were the picoline donor groups are connected to either acridone (3,4) or phenothiazine (5, 6) backbones via their meta positions. Using either 5-or 3-substituted picolines resulted in an "inside" or "outside" orientation of the methyl groups with respect to the enclosed cavity upon cage formation. Steric hindrance around the coordination sites was found to disfavour the formation of homoleptic [Pd 2 L 4 ] cages (except for a special case where anion templation triggers catenation to give a cage dimer, see below).  By combining Pd II ions with only a single acridone or phenothiazine ligand bearing the outside-pointing methyl group (3,5), a mixture of a [Pd 2 L 2 Solv 4 ] ring and a [Pd 2 L 3 Solv 2 ] bowl was formed. Pd II coordination spheres were found to be saturated by coordinating solvent molecules (Fig. 5c). When using the ligands with inward-pointing methyl groups (4, 6), a [Pd 2 L 3 -Solv 2 ] bowl is formed exclusively, suggesting a less steric hindrance than found among the outward-pointing picolyl donors (Fig. 5d).
The selective assembly of homoleptic [Pd 2 L 3 Solv 2 ] bowls has been conrmed by means of 1D and 2D NMR spectroscopy, including 1 H-1 H NOESY experiments, which clearly indicate cross peaks between ligands occupying different positions in the bowl. In addition, DOSY-NMR, ESI-MS analysis as well as DFT modelling further supported the assignment of these structures. Comparison of Pd$$$Pd distances in the calculated structures shows the effect of steric hindrance resulting in contraction (methyl-in) or elongation (methyl-out) of the respective species. The reaction of 3 with 4, bearing different methyl positions but similar backbones, with Pd II cations in a 1 : 1 : 1 ratio, results in the formation of a new species that has been identied as cis-[Pd 2 3 2 4 2 ]. Alkyl chains of different lengths were attached to the isomeric ligands to unambiguously identify the resulting heteroleptic compound by ESI-MS analysis. Additionally, 1 H-1 H NOESY cross peaks between the two different ligands provide conrmation for the heteroleptic structure. DFT calculations and the X-ray structure of a mononuclear model compound allowed to determine the cis-isomer of [Pd 2 3 2 4 2 ] as more stable than the tentative trans-isomer.
Finally, the authors investigated the coordination sphere engineering approach by combining two different backbones. Selfassembly of Pd II with a 1 : 1 combination of the methyl-out acridone ligand and the methyl-in phenothiazine bridge resulted in the clear formation of a [Pd 2 L A 2 L B 2 ] heteroleptic cage. Interestingly, when testing the inverted combination, NMR analysis revealed multiple overlapping proton signals, partially assigned to the acridone-based homoleptic bowl. Moreover, single crystals have been obtained from this mixture, revealing the surprising presence of an interpenetrated [Pd 4 5 8 ] homoleptic double-cage (not shown), consisting of eight methyl-out phenothiazine-based ligands that show strong tilting and signicantly distorted Pd II -coordination spheres. The driving force leading to this sterically overcrowded product is an anion templating effect, as has been reported before. 45 Instead of steric hindrance on the donor group, functionality that enables secondary weak interactions can be introduced. Crowley and co-workers reported a system where they take advantage of hydrogen bonding to stabilize a cis-[Pd 2 L A 2 L B 2 ] heteroleptic cage. 67,68 In these studies, amine substituents were installed on tris-pyridyl banana-shaped ligands, resulting in a 3amino (7), 2-amino (8) or an unfunctionalized ligand (9). Aer formation of homoleptic cage [Pd 2 9 4 ], functionalized ligands (7 or 8), both of which have stronger donor capacities than 9, were added and ligand exchange results were monitored. By adding meta-substituted ligand 7, bridges 9 of the homoleptic cage are  completely displaced, transforming the system into homoleptic cage [Pd 2 7 4 ] (Fig. 6b). The same experiment, using 8 instead, leads to a drastically different result. Here, the formation of a [Pd 2 8 2 9 2 ] heteroleptic cage was observed, accompanied by the release of 2 equivalents of 9 (Fig. 6c). A combination of NMR analyses and DFT calculations suggested the formation of the cis-isomer, stabilized by the presence of hydrogen bonding between two neighbouring ligands 8. Such stabilizing hydrogen bonds cannot form in the imaginable trans-isomer. Interestingly, this heteroleptic cage can be obtained only via the ligand displaced pathway. Attempts to form cis-[Pd 2 8 2 9 2 ] directly from a combination of the building blocks resulted in a convoluted mixture of products, including [Pd 2 8 2 9 2 ], while no homoleptic species were detected. Moreover, the authors reported that the heteroleptic cage gradually undergoes further ligand displacement until the formation of homoleptic [Pd 2 8 2 ] is achieved. These observations, together with DFT energy calculations, point to the fact that the herein obtained heteroleptic compound is a kinetic product.
Another approach of coordination sphere engineering, aimed at increasing structural complexity, has been developed by Clever and co-workers. 69,70 In this strategy, steric hindrance is introduced around the metal coordination environment by using quinoline-based ligands instead of common pyridine derivatives. The authors designed a series of banana-shaped ligands bearing pyridines (10), two different quinoline isomers (11,12) or acridine (13) as donor groups (Fig. 7). The latter three cases feature hydrogen substituents in the annelated benzene rings that introduce steric pressure below/above the square-planar Pd II coordination environment (Fig. 7b-d). Self-assembly of these ligands with Pd II results in the formation of [Pd 2 L 4 ] cages with pyridines, [Pd 2 L 3 Solv 2 ] bowl-shaped structures with quinolines and [Pd 2 L 2 Solv 4 ] rings when using acridines. All species were characterized by 1D and 2D NMR, high resolution ESI-MS and single crystal X-ray diffraction analysis. Furthermore, owing to the bent shape and p-surface of the ligand, both the cage and the bowl species were shown to bind C 60 and C 70 fullerenes in polar solvents. Interestingly, pyridyl-based cage [Pd 2 10 4 ] can only bind C 60 selectively, while the 6-quinolinyl-modied ligand 11 (with nitrogen donor on the outer ring and steric congestion on the inner benzene), allows to form a [Pd 2 11 3 Solv 2 ] bowl with increased cavity dimensions as well as open geometry, able to encapsulate also the bigger C 70 . Owing to the bowl geometry, bound C 60 exposes about 25% of its surface area to the solution environment. This allowed the authors to perform a Diels-Alder reaction on the bound fullerene, leading to the selective formation of only the monoadduct. Interestingly, attempts to crystallize the empty bowl species resulted in single crystals of a [Pd 2 11 4 ] cage, not observed in solution, suggesting a ne energetic balance between the two species.
When reacting a 3-quinolinyl modied ligand (12) with Pd II cations at room temperature, the obtained compound is again a [Pd 2 12 3 Solv 2 ] bowl. However, compared with the analogous bowl formed from 11, it is unstable at room temperature, partially converting to a [Pd 2 12 4 ] cage over two days. Again, cage formation has been further conrmed by single crystal X-ray diffraction analysis. A DFT comparison of the species' relative stability in the cage/bowl equilibria for the quinoline-based ligands 11 and 12 supports the experimental data, showing that the bowl-shaped compound is favoured when the steric pressure is in the inward-pointing benzene ring (as in 11), while the cage compound is favoured when the steric pressure is moved to the outer part of the ligand (as in 12). Surprisingly, the cage formed using 12 is unable to bind any fullerene derivative, probably due to its more twisted shape and hence smaller cavity. 70 As shown before, introduction of steric pressure around the metal ion can prevent saturation of the coordination sphere with four nitrogen donor ligands. As remaining coordination sites cannot be le unoccupied on Pd II cations, they are usually lled by solvent molecules or small ligands such as halide anions (F À , Cl À , Br À ) or others. Therefore, bowl and ring assemblies can act as platform for the addition of a further ligand leading to more complex heteroleptic species. Using the [Pd 2 L 3 (CH 3 CN) 2 ] bowl-shaped assembly, Clever et al. 69 were able to substitute the solvent molecules with di-carboxylate bridges. Addition of two terephthalate anions 14 to the preformed bowl species [Pd 2 11 3 ] allowed to further increase the structural complexity of the system and form a unique heteroleptic pillshaped assembly (Fig. 7e). This approach could further be extended from the empty bowls to the host-guest systems, thus affording a cavity harbouring two fullerenes (C 60 or C 70 ) in close vicinity.
Another example of combining different donors, namely pyridines and carboxylates, to form heteroleptic architectures has been explored by Stang and co-workers. 52 A series of 2D and 3D compounds was reported by assembling cis-protected Pd II fragments with terephthalate bridges and pyridine-based ligands. Balancing charges on the metal centres, deriving from the neutral and anionic donor groups, drive the formation of heteroleptic compounds by simply mixing these building blocks in the correct stoichiometric ratio. Linear bis-pyridine ligands lead to 2D metallocycles while tris-or tetra-pyridine ligands lead to 3D trigonal and tetragonal prisms, respectively. In summary, coordination sphere engineering (CSE) has been established as a reliable tool to synthesize either heteroleptic coordination cages directly or unsaturated bowl and ring species that serve as platforms toward the formation of higher order heteroleptic structures (see also Fig. 27). To reach nonstatistical assembly, either homoleptic structures are disfavoured by repulsive steric or strain effects, or formation of heteroleptic species is promoted by attractive secondary interactions or charge balancing effects (and related trans-inuences) in immediate vicinity of the coordinated metals. In the following, we move focus from the coordination spheres to the overall structure of the entire architectures, thus categorizing the subsequent approaches as "assembly-based" ones.

Shape complementarity
Design and assembly of coordination-driven supramolecular compounds is oen realized using geometrical principles. 3,4,71 The combination of the high directionality of many transition metal coordination bonds with controllable geometry of polytopic ligands allows to assemble a plethora of highly symmetric compounds based on the so called "edge-directed selfassembly" principle. 20 These concepts have been used with kinetically rather inert, non-dynamic systems to develop heteroleptic compounds. For example, the use of organometallic fragments can be a valuable tool to synthesize supramolecular compounds bearing multiple ligands and functions in a stepwise manner. When using "naked" metal ions such as Pd II in Werner-type complexes, building blocks are usually allowed to exchange dynamically, resulting in a less controllable situation when more than one type of ligand is present. The shape complementarity approach (SCA) takes advantage of geometric principles to selectively obtain one specic product by avoiding the formation of statistical mixtures containing other ligand combinations. Therefore, ligand angles are designed in order to precisely t each other between matching bridges (oen pairwise), resulting in enthalpic destabilization of strained homoleptic species, as well as overall entropic gain if the heteroleptic product has a lower nuclearity compared to one or more of the homoleptic precursors.
This approached has been successfully used by Zhou and coworkers in 2010 in a series of Cu II -based cages with ditopic carboxylate ligands featuring different binding angles. 72 The authors examined diverse ligands, binding pairs of Cu II ions in "paddle-wheel mode" with local C 4 symmetry, to form several homoleptic compounds. Among all reported architectures, one homoleptic cage was found to transform into heteroleptic cages by ligand substitution. In particular, Cu II ions self-assemble with 5 t-butyl-1,3-benzenedicarboxylate (15), possessing a 120 binding angle, to form a [(Cu 2 ) 12 15 24 ] homoleptic cage of rhombic cuboctahedral geometry (Fig. 8). Reacting this cage with a larger 3,3 0 -(ethyne-1,2-diyl)dibenzoate ligand 16, having a 60 binding angle, resulted in the formation of a [(Cu 2 ) 6 15 6 16 6 ] heteroleptic cage with lower nuclearity, suggesting an entropic stabilization of the nal product (Fig. 8). Interestingly, when reacting the homoleptic architecture with 2,7-naphthalene dicarboxylate (17), having the same 120 binding angle but longer length, another heteroleptic cage is formed via ligand substitution. Different from the previous case, the compound's nuclearity is preserved ([(Cu 2 ) 12 15 12 17 12 ]), suggesting enthalpic contributions to govern stabilization of the product rather than entropic ones. Formation of all three species has been conrmed primarily by single crystal X-ray analysis, therefore the role of solid-state packing effects cannot be ruled out to signicantly contribute to stabilizing the observed heteroleptic compounds.
A similar approach was developed by Fujita and co-workers to synthesize a heteroleptic [Pd 12 L A 12 L B 12 ] architecture by selfassembly of Pd II cations with banana-shaped, pyridine-based ligands. 73 75 by tuning the ligands' binding angles, lengths and exibility. In order to further develop this principle to achieve heteroleptic assembly, two bis-pyridine ligands (18,19) bearing the same binding angle of 120 , but different length, were employed. Combining each of these ligands alone with Pd II cations leads to the formation of homoleptic [Pd 12 L 24 ] spheres. Self-assembly of both ligands with the metal centre in a 1 : 1 : 1 ratio, however, resulted in clean integrative self-sorting to give a [Pd 12 18 12 19 12 ] heteroleptic structure in the shape of a "cantellated tetrahedron" (Fig. 9).
Formation of the compound was conrmed by a combination of NMR and ESI-MS analysis with single crystal X-ray diffraction. The study has been further extended including more ligands with different angles and lengths. The ligandlength ratio plays a crucial role on driving the system towards the integrative self-sorting of one dened compound or to statistical mixtures of [Pd 12 L A n L B 24Àn ] (n ¼ 1-24) species, that contain up to 7 Â 10 5 possible ligand combinations (stoichiometries and stereoisomers). A variation of this system, exhibiting particular beauty, was obtained when a short ligand was covalently bridged by a ten-membered chain to the concave face of its longer sibling. Here, narcissistic self-sorting of the ligand sites was observed, forming a sphere-in-sphere complex as conrmed by DOSY NMR analysis and a crystal structure. 76 Interestingly, a comparison of the heteroleptic spheres reported by Zhou and Fujita shows the presence of a triangular substructure in which three metal ions are connected through the short ligands. As these ring fragments are conserved both in Zhou's carboxylate-Cu-system, and also present in Fujita's pyridine-Pd-sphere, they seem to play an important role for the overall stability of the heteroleptic architectures.
Severin and coworkers showed very recently that a topology similar to the one obtained by Zhou from carboxylate ligands and Cu II cations in [(Cu 2 ) 6 15 6 16 6 ] can also be realized using a simple set of bis-pyridyl ligands 20 and 21 with Pd II cations ( Fig. 10 le). 77 Interestingly, the compound was selectively formed from a mixture of six bis-pyridyl ligands with different lengths and donor angles, thus highlighting its extraordinary stability. Furthermore, the same topology could also be achieved with a set of much more elaborate ligands 22 and 23 based on the iron-clathrochelate chemistry (Fig. 10 right).
Clever and co-workers reported an alternative approach to achieve integrative self-sorting of heteroleptic cages using shape complementarity. Geometric design, with complementary binding angles, was used here to explore the formation of rather small [Pd 2 L A 2 L B 2 ] cages. The rst study has been conducted using three banana-shaped ligands: an inward-bent acridone-based bridge having iso-quinoline donor groups (25), an outward-bent phenanthrene-based ligand (24) as well as carbazole-based ligand 26, both having pyridine donors, with binding angles of 60 , 120 and 75 respectively. 78,79 Each of the three ligands mixed with Pd II cations individually forms homoleptic species. From 25, a [Pd 2 25 4 ] cage is formed in which the iso-quinoline donors induce a heavy distortion, forcing the assembly into a strongly twisted, presumingly high energy conformation. The use of 24, due to its shorter length and larger binding angle, leads to the formation of a tetranuclear [Pd 4 24 8 ] ring. Self-assembly of Pd II with the carbazole-based 26 result in a lantern-shaped [Pd 2 26 4 ] cage which was previously shown to give an interpenetrated [Pd 4 26 8 ] double cage upon addition of chloride anions as templates. 80 The rst two ligands possess complementary binding angles of 60 and 120 , respectively, which gave rise to the prediction of a cis-[Pd 2 L A 2 L B 2 ] heteroleptic cage, as supported by DFT calculations. Indeed, the combination of these two ligands with a Pd II source in a 1 : 1 : 1 stoichiometric ratio leads to the clean formation of the desired cage cis-[Pd 2 24 2 25 2 ], as conrmed by NMR and ESI-MS analysis (Fig. 11a). Additionally, 1 H-1 H NOESY analysis clearly shows cross peaks consistent with the cis stereochemistry. The authors further tested the shape complementarity of ligands 24 and 25, each, with carbazole-based ligand 26. Combination of 24, 26 and Pd II in a 1 : 1 : 1 ratio  also led to the clean formation of a cis-congured cage [Pd 2 24 2 26 2 ], even though in this case, the binding angles of 75 and 60 are not really matching (Fig. 11a). Formation of the ciscage was again conrmed by NMR and ESI-MS analysis, as well as via single crystal X-ray diffraction (Fig. 11b). Self-assembly of carbazole-based ligand 26 with acridone-based ligand 25 also leads to the exclusive formation of a [Pd 2 L A 2 L B 2 ] species, as revealed by prominent peaks in the high-resolution ESI-MS spectra. However, in this case, 1 H-NMR analysis resulted in a very complicated spectrum, with ligand signals split due to signicant desymmetrization effects. The riddle could be solved through single crystal X-ray analysis, revealing a new structural motif for self-assembled coordination cages: a trans-[Pd 2 (anti-25) 2 26 2 ] 4 assembly in which both acridone ligands assume an anti-conformation instead of the common syn-conformation resulting in a "gure-eight"-shaped (Pd 2 25 2 )-substructure anked by two ligands 26. In other words, the system adopts a self-penetrating, chiral topology in which both acridone ligands pass through the middle of the assembly, thus sacri-cing the inner cavity (Fig. 11b). Interpretation of the NOESY cross-peaks allowed to conrm this conguration also in solution. Interestingly, due to the dynamic behaviour of the Pd IIpyridine/quinoline coordination bonds, all three heteroleptic cages can be achieved also by mixing the corresponding homoleptic assembly pairs in the correct stoichiometric ratio, thus triggering a cage-to-cage transformation process. This clearly indicates that for all three reported cases, the heteroleptic compound is the thermodynamic product. Explanation for the species involving the acridone-based ligand is certainly found in its highly distorted and strained homoleptic assembly, giving rise to enthalpic drive to react with shape complementary counter ligands to give the structurally relaxed heteroleptic products. At the same time, when using the phenanthrene-based ligand, the entropic contribution deriving from the transformation of tetranuclear [Pd 4 L 8 ] rings into a multitude of [Pd 2 L 4 ] cages, is non-neglectable. Finally, the authors could prove higher stability of and better structural control over the cis-[Pd 2 24 2 25 2 ] cage, with both ligands showing perfectly complementary binding angles: addition of the missing ligand to one of the other two cages was found to lead to ligand exchange, replacing the carbazole component and resulting in a heteroleptic-to-heteroleptic cage transformation to give cis-[Pd 2 24 2 25 2 ]. 79  To further study the versatility of the shape complementarity approach, Clever and co-workers increased the degree of complexity in the system. 81 The combination of three or four shape complementary ligands resulted in statistical formation of species that still obey a certain degree of self-sorting based on shape complementarity of the concave/convex ligand groups in (Fig. 12). Such systems are challenging, if not impossible, to be analyzed by common NMR techniques, including COSY and DOSY spectra, therefore ESI-MS combined with Trapped Ion Mobility Spectrometry (TIMS) was employed, a technique that has just recently found entry in the analysis of supramolecular systems. 82 The combined analysis of experimentally determined and theoretically computed collisional cross sections (CCS) then allowed to differentiate the constituents of the mixture. For this study, two new ligands were added to the previously reported phenanthrene-and carbazole-based ligands (24,26). An elongated phenanthrene-based ligand (27), where the pyridine donor group is connected to the backbone through an alkyne bridge, still having 60 binding angle, and a uorenone-based ligand (28) with binding angle (80 ) and size comparable with the carbazole one. The set of four building blocks can be divided in two "long" ligands (26,28) and two "short" ligands (24,27).
Firstly, shape complementarity has then been tested among the four possible long-short combinations, resulting in the clean formation of cis-[Pd 2 L A 2 L B 2 ] cages in all cases, as conrmed by NMR and ESI-MS analysis (Fig. 12). Then, the ternary systems made by one long ligand and the two short phenanthrenes were investigated, resulting in a distribution of [Pd 2 L A 2 L B 2 ], [Pd 2 L A 2 L B L C ] and [Pd 2 L A 2 L C 2 ] cages. The analysis of already such a mixture proved challenging, as NMR suffered from extensive signal overlap and symmetry-related signal splitting. Due to the small structural differences among the three cages, also DOSY-NMR failed to provide a clear differentiation. Instead, using TIMS analysis allowed to successfully distinguish all different constituents in the system by obtaining separate ion mobility values. Subsequently, this analytical tool was applied to a mixture of all four ligands. While the number of possible species (ten) is already reduced from 55 that would result from full statistical distribution thanks to the shape complementarity approach, the analysis would not have been possible with NMR methods. Of the ten contained species, nine possess different ligand combinations (thus also differing in their masses), but the cage comprising all four ligands can be present as both a cis-and a trans-[Pd 2 L A L B L C L D ] isomer, giving rise to the same ESI-MS signature. Remarkably, ion mobility measurements allowed to differentiate all ten species, including the cis-and trans-isomeric species containing all four ligands, despite their small differences in the collisional cross sections. In addition, all signals have then been unambiguously assigned with the help of theoretical CCS value calculations.
In conclusion, shape complementary assembly (SCA) has been proven to be a versatile approach for accessing heteroleptic structures, owing to a combined action of enthalpic and entropic effects. Architectures featuring different nuclearity have been reported and both large and smaller structures can be achieved in this way.

Non-symmetric ligands
The approach discussed now relies on the use of non-symmetric bis-monodentate ligands, either by changing the donor groups or introducing asymmetry in the ligand geometry. It is worth to mention that non-symmetric ligands can be designed to form heterometallic supramolecular cages, showing structural complexity and even multifunctional properties, as reported in the literature. 26,[83][84][85][86][87][88][89] However, most of the reported examples still give rise to rather symmetric compounds and therefore will not be treated in this review. Nevertheless, the introduction of different metal centres it is an interesting tool to develop multifunctional, coordination-driven systems.
Recently, some examples of using non-symmetric ligands to increase the structural complexity of homometallic architectures have emerged. Combined with other approaches, such as the above-described coordination sphere engineering and shape complementarity, breaking the ligand symmetry will allow powerful ways to tailor complex multifunctional materials in the future. It is worth noting, however, that most so far reported systems rely on only one type of ligand per assembly and while individual metal nodes may be heteroleptic, the resulting entire assemblies are in many cases considered to be homoleptic species.
Yuasa and co-workers recently reported a system based on ditopic banana-shaped carbazole ligands, bearing two different donor groups: para-substituted pyridine and imidazole. Ligand 29 comes with a simple alkyl substituent on the imidazole and derivative 30 carries a chiral substituent in the same position (Fig. 14). 90 Both ligands self-assemble with Pd II ions to give [M 2 L 4 ] cages. When using such non-symmetric ligands, four possible [M 2 L 4 ] isomers can be proposed (Fig. 13). Having two different donor groups resulted in a two-step self-assembly mechanism as shown via UV-Vis titrations. Moreover, the authors could isolate a mononuclear [Pd29 4 ] compound, under careful stoichiometric control of the metal-to-ligand ratio, proving with a combination of NMR analysis and DFT calculations that in this case only the imidazole donors coordinate the Pd II ions. Despite the possibility to obtain four different isomers, only the one having two pyridine and two imidazole donor groups on every Pd II ion in a cis-arrangement was obtained (Fig. 13, isomer D). Introduction of a chiral substituent on ligand 30 resulted in formation of two diastereomers, with NMR signal splitting for the protons of imidazoles and ] complex and expels the guest, suggesting a highly dynamic system with potential to develop even more complex on/off guest binding switches. Another example of using non-symmetric ligands to control and increase structural complexity of [M 2 L 4 ] cages has been reported by Lewis and co-workers. 91 The system design relies on bis-monodentate banana-shaped ligands with two different donors, featuring steric constraints, geometric complementarity or a combination of both effects. To explore the rst effect, the authors designed a ligand having as donor group a pyridyl moiety on one side and a picolyl donor group on the other (31). Again, four possible isomers are expected when using such a non-symmetric ligand (Fig. 13). Reaction of 31 with Pd II turned out to give a solvent dependent system. In acetonitrile only the trans-[Pd 2 L 4 ] species is achieved (Fig. 13, isomer C), while in DMSO a mixture of cis-and trans-[Pd 2 L 4 ] isomers is formed, as conrmed by NMR analysis and DFT calculations.
Subsequently, the geometric complementarity within homoleptic cages deriving from non-symmetric ligands 32, 33, 34 and 35, based on combinations of pyridyl and isoquinoline donor groups, was explored. For these ligands, the bonding vector of the two nitrogen donors is not parallel, therefore suggesting the formation of cis-[Pd 2 L 4 ] cages, according to shape complementarity principles (Fig. 13, isomer D) (Fig. 15). Reaction of Pd II cations with ligand 35 likewise resulted in the formation of species with stoichiometry [Pd 2 35 4 ], however, in this case a complex NMR spectrum suggest the co-existence of more than one isomer. DFT calculations for the four possible isomers show that the energy difference between the cis-conformer and the conformer having three identical donor groups on the same side is negligible (0.1 kJ mol À1 ; Fig. 13, isomer B), resulting in a mixture of species. Finally, the authors explored the combination of both steric hindrance and geometric complementarity with ligand 36. Introduction of a methyl substituent was found to change the energetic balance again towards cis-isomer D, resulting in formation of one main compound, identied as cis-[Pd 2 36 4 ] by a combination of 2D NMR analysis and DTF calculations (Fig. 15). Recently, Lewis extended the principle by introducing different functional groups in exohedral positions via click chemistry. 92 A nice example for the realization of a [Pd 2 L 4 ] structure with an all-parallel arrangement of four non-symmetric bismonodentate pyridyl bridges (Fig. 13, isomer A) was reported by Natarajan et al. based on the chiral steroid cholic acid. 93 Another example has been recently reported by the group of Chand, where the self-assembly of naked and cis-protected Pd II ions combined with a non-symmetric ligand having pyridine and aniline donor groups was investigated. Among all the  possible assembly products, a combination of NMR and DFT studies proved the selective formation of a cis-[Pd 2 L 4 ] structure with a "two up two down" arrangement of the non-symmetric ligand (Fig. 13, isomer D). 94

Backbone-centred steric hindrance
Recently, Clever and co-workers developed a new approach to achieve integrative self-sorting of unprecedented [Pd 4 L A 4 L B 4 ] heteroleptic tetrahedra. 95 The system is based on a at, nonlinear bridge 37, that self-assembles with Pd II cations to give a solvent-dependent dynamic library of species [Pd n 37 2n ] (n ¼ 3, 4, 6) (Fig. 16a). The assemblies adopt different topologies, a [Pd 3 37 6 ] ring, a [Pd 4 37 8 ] tetrahedron (similar to the ones described in Section 2.1) and a [Pd 6 37 12 ] octahedron as minor component (not shown). Introduction of a bulkier substituent in ligand 38 resulted in the exclusive formation of a large [Pd 6 38 12 ] octahedron (Fig. 16b) (Fig. 16c), as conrmed by NMR spectroscopy, high resolution ESI-MS spectrometry, as well as a single crystal XRD structure. Reason for clean integrative selfsorting is the presence of two non-equivalent edges in the [Pd 4 L 8 ] tetrahedral topology (Section 2.1), combined with the presence of steric bulk in the backbone of ligand 38. Flat ligand 37, featuring only a small substituent in its central backbone position, can occupy the two doubly bridged edges, having its carbonyl substituent pointing either inside the cage or to the psurface of the neighbouring ligand backbone. On the other hand, the four single-spanned edges are occupied by 38, with the bulky alkyl chains pointing outside and therefore escaping from steric pressure. Cage-to-cage transformation proved [Pd 4 37 4 38 4 ] to be the thermodynamic minimum of the system, determined by a compromise between the entropic drive to form the smaller assembly, and the enthalpic disadvantage of pairing two bulky ligands on the same edge.

Multicavity cages
A different facet of using non-symmetric ligands has been recently reported by Chand and co-workers in the course of forming Pd-mediated architectures possessing multiple cavities. 96 The systems design relies on a series of polytopic ligands having two, three or four pyridine donor groups respectively (ligands 39-42, Fig. 17   cage. On the contrary, in a more concentrated sample, even [Pd 4 40 8 ] is detected as minor component. Self-assembly of Pd II with non-symmetric, tris-monodentate 41 (formally a fusion of 39 and 40) results in a mixture of trinuclear [Pd 3 41 4 ] and hexanuclear [Pd 6 41 8 ] compounds (not shown). Subsequently, ligands 40 and 41 were combined in a 2 : 4 ratio, resulting in integrative self-sorting to give a tetranuclear heteroleptic [Pd 4 40 2 41 4 ] assembly possessing two different cavities able to bind small anionic guests (NO 3 À , F À , Cl À , Br À ; Fig. 16).
Furthermore, a pentanuclear compound possessing three cavities was achieved by integrative self-sorting of ligands 41 and 42 with Pd II cations. The resulting heteroleptic [Pd 5 41 4 42 2 ] architecture resembles a conjunction of a [Pd 3 40 6 ] ring with two [Pd 2 39 4 ] cages, as conrmed by single crystal X-ray diffraction (Fig. 17). Finally, a three-bladed, hexanuclear structure [Pd 6 42 6 ] with four cavities was obtained using symmetric ligand 42 alone (Fig. 17). While this compound is a homoleptic structure, as it is based on only one ligand, its structural complexity is intriguing since all vertices of a triangular core resembling [Pd 3  Another approach towards multi-cavity cages was chosen by Clever et al. who expanded their previously reported set of shape-complementary ligands pairs 78,79 with derivatives of dual banana-shaped bis-monodentate ligands covalently bridged via their backbones (Fig. 18). 97 Based on the observation that ligand 43 cleanly forms cis-[Pd 2 43 2 26 2 ] heteroleptic cages with aboveintroduced carbazole-derived ligand 26, a series of higherorder assemblies was achieved. When 43 was mixed with dual ligand 44, in which both carbazole sites are back-to-back connected with a exible linker, Pd II coordination in acetonitrile afforded [Pd 4 43 4 44 2 ] as a formal dimer of cis-[Pd 2 43 2 26 2 ]. Interestingly, reaction of the same components in DMSO gave trinuclear compound [Pd 3 43 4 44 1 ] whose shape resembled a tetrahedron as the hexylene bridge protrudes from one face of the three-membered core. In contrast, ligand 45 featuring a rigid backbone bridge yielded a tetranuclear assembly [Pd 4 43 4 45 2 ] which only resembles compound [Pd 4 43 4 44 2 ] on rst sight: closer inspection of its X-ray structure reveals that ligand 45 is now rotated by 90 as compared to 44, hence the carbazole backbones are not joining the ends of the same counter ligand 43 but bridge two oppositely arranged ones (Fig. 18). Finally, the presence of sulfonate anions was found to trigger rearrangement into a [Pd 6 43 4 45 6 ] barrel-shaped host upon crystallization, thus complementing the system by a structure of even higher nuclearity.
As shown in the reported examples, the use of nonsymmetric ligands is a powerful tool to increment the structural complexity of coordination-driven architectures. This approach can be combined with the previously discussed coordination sphere engineering and shape complementarity approaches and can lead from heteroleptic [M 2 L 4 ] cages to compounds with higher nuclearity and cavity count.

Functional homoleptic cages
Having outlined different strategies for increasing the structural complexity of self-assembled coordination cages, we will now examine how to introduce functionality in such systems. Ultimate aim is to achieve "multifunctional" systems in which several distinct chemical moieties act together in an emergent fashion to allow applications in enzyme-inspired catalysis or vectorial excitation or electron transfer. It should be noted that to date most of such functional systems are still of homoleptic nature, while heteroleptic structures exhibiting distinct functions are quite rare. Therefore, we rst focus on functional homoleptic cages and continue in the nal section with more sophisticated examples that are based on heteroleptic cages and rings. "Functionality" is of course a very general term and thus needs to be subclassied. In the context of this review, we distinguish between the following different tasks: (a) guest uptake and release, (b) control (or observation) by light, (c) host-guest chemistry under control of a chemical stimulus and (d) (catalytic) chemical transformation of substrates inuenced by the metallo-supramolecular host.
In general, coordination cages are renowned for their rich host-guest chemistry, i.e. the selective uptake of small, charged species, 98-100 or even neutral molecules. [101][102][103][104][105] Formation of a host-guest complex is driven by either electrostatic interactions, such as hydrogen bonding, p-stacking, Coulomb or dispersion interactions, 102 solvophobic effects, 106 or a combination of these. Pd II -based coordination cages are usually positively charged and, thus, preferably host negatively charged Fig. 18 The flexibility of the linker in backbone-bridged ligands determines (together with solvent and guest effects) the formation of a variety of higher-order heteroleptic structures with very different cavity shapes and sizes.
species such as small anions or sulfonated organic molecules. 107 On the other hand, Raymond's [Ga 4 L 6 ] 12À tetrahedra 108 with three catecholate donors at each metal centre are negatively charged, allowing for encapsulation of positively charged species. Therefore, Raymond could successfully apply this cage for several chemical reactions with positively charged intermediates, [109][110][111] which are stabilized by the cage environment. Fujita designed a water-soluble cage which readily takes up neutral organic molecules due to the hydrophobic effect and allows numerous different reactions to be performed in its nano-conned cavity. 112 Recently, Lusby reported the uptake and chemical conversion of neutral para-quinone into a cationic Pd II -cage. The main driving force here are multiple noncovalent interactions. 113 These examples illustrate the variety of host-guest interactions and the high potential of coordination cages for applications in selective recognition and chemical transformation processes. In the past decade, Crowley, Fujita, Shionoya, Nitschke, Sallé, Clever and others have shown that host-guest chemistry can be controlled by external stimuli such as chemical triggers, redox processes, temperature, light or change of solvent. This adds additional possibilities for tuning the function and application of coordination cages. For example, Sallé and co-workers used redox agents to control the oxidation state, and hence overall charge, of their M 2 L 4 architecture, built from ligands based on tetrathiafulvalene derivatives. They showed that control over the redox state triggers coordination cage assembly and disassembly, causing reversible binding and release of B 12 F 12 2À guests. 114 In the following, we will illustrate some examples of homoleptic cages, which integrate specic functionality with an effect on their host-guest chemistry, including control by external stimuli. Even more about this chemistry can be found in a further selection of recent reviews. 44,45,115,116

Chromophore-based cages
The interaction of self-assembled structures with light can lead to a multitude of effects and applications, including cavity-conned photo catalysis, 46 triggering of photoswitches (see below) and guest detection via specic spectral signatures. To the latter area, Clever and coworkers recently contributed a new family of dye-based coordination cages whose bis-monodentate ligands carry long-known coal tar dye derivatives in their backbones (Fig. 18). 117 Key structural element is further the implementation of piperazine linkers between the chromophores and coordinating donors as crucial requirement to retain the dyes' properties by serving as auxochromic groups (as they mimic the typical dimethyl amine substituents of many coal tar dyes, serving to reduce the HOMO-LUMO gap in the extended push-pull electronic system). helicates that rapidly convert between two enantiomeric conformers ( Fig. 19a and b). This feature was then employed to examine chiral compounds (exemplied with small molecules but bearing potential for the detection of anionic bioanalytes such as DNA) through chirality transfer from the bound guest to the helicate, inducing an equilibrium shi towards one preferential enantiomeric form and hence giving rise to a strong chiroptical answer in the visible region of the circular dichroism spectrum (Fig. 19c).

Light as trigger in homoleptic [Pd 2 L 4 ] cages
Light is considered as a clean "reactant", as it can be used to precisely activate specic processes in complex mixtures, leaves no byproducts and is in principle abundantly available in the form of sunlight. Ideally, the choice of a specic wavelength allows for the directed activation of only a photoactive component without affecting or damaging other parts of a metallosupramolecular assembly.
For example, Wezenberg and Feringa presented a photoresponsive coordination cage based on Pd II cations and bidentate bis-pyridyl ligands with an overcrowded alkene as backbone. 118 This motif is similar to their famous molecular motors 119 and can be switched reversibly by irradiation. Irradiating the Z-enantiomer of the ligand (or cage) with 312 nm light at À78 C, and then slowly warming up to room temperature, leads to a switch to the E-enantiomer. Further irradiation results in formation of an unstable form of the Z-enantiomer, which can be rotated back by irradiation with 365 nm light. All three cage photoisomers are able to bind OTs À due to electrostatic interactions. Even though the cages are geometrically very different, no large difference in binding affinity of the guest was observed.
Clever has prepared ligands with photochromic dithienylethenes (DTE) as backbone and studied their self-assembly behaviour with Pd II cations. In a follow-up study, the DTE ligand was modied with two 7iso-quinoline moieties as donors to form similar cages of the [Pd 2 L 4 ] type, both in the open (o-49) and closed (c-49) form (Fig. 20). 122,123 [Pd 2 o-49 4 ] can bind a chiral guest molecule, such as R-or S-camphor sulfonate (CSA). While the cage itself, composed of C 2 -symmetric but quickly epimerizing DTE backbones, does not show any chiroptical effects, the host guestcomplex with enantiopure CSA shows a strong guest-induced circular dichroism (CD) effect in the absorption regime of DTE chromophore. This is a clear indication for chirality transfer from the guest to the host. This nding was supported by a competition guest binding experiment: when 1,4-benzenesulfonic acid, a stronger binding guest, is added to the mixture, CSA is released, and the CD effect is cancelled. Guest ejection is also observed upon irradiation (313 nm), which results eventually in formation of [Pd 2 c- 49 4 ] with all four photoswitches closed. Similar to the previously reported example, the anionic guest does not bind to [Pd 2 c- 49 4 ]. The question arose at which step in the successive photoclosure of the four switches the guest is ejected. This could then be answered by a combination of CD and ion mobility mass spectrometry experiments, supported by following the fate of chiral information transfer throughout the irradiation process by analyzing the enantiomeric excess of (congurationally stable!) closed DTE ligand aer cage disassembly. 122 Apparently, the guest is already ejected aer switching of the rst ligand, pointing to a situation in which the rigid, closed ligand photosiomer dictates the conformational preference of the remaining open ligands. This assumption was further supported by comparing X-ray structures of cage isomers with four open, two open/two closed and four closed switches 123 and recently supported through MD simulations and detailed binding enthalpy/entropy calculations by Schäfer et al. 124

Small anions as chemical trigger
Instead of light as external stimulus, also chemical compounds can be added to a supramolecular cage to affect its host-guest chemistry. Crowley exploited the dynamic nature of Pd II -coordination chemistry and demonstrated the reversible transformation of a [Pd 2 50 4 ] cage to a [Pd 2 50 2 Cl 4 ] ring upon addition of chloride anions under substitution of two bridging ligands per cage (Fig. 21). 125   centres (Fig. 21b). In acetonitrile as solvent, the neutral cisplatin drug compound binds to the interior cavity, partly due to dispersion interactions. When changing the solvent to DMF, binding becomes signicantly weaker, because the solvent molecules act as competing guests. Both mesylate and cis-platin are released when the cage is transformed to its ring successor. This study is a nice example of chemically driven guest-release and shows potential application in drug-delivery.
In 2015, Clever and co-workers demonstrated allosteric binding of neutral guest molecules inside catenated double cage [Pd 4 (Fig. 22b). While the acridone-based ligand 51 alone is unstable and decomposes under irradiation in air, its assembly to supramolecular cages stabilizes the aromatic core and thus allows for its robust photosensitizing function. In the reported system, 1,3-cyclohexadiene was used in a model reaction to undergo [2 + 4] cycloaddition with singlet oxygen generated by energy transfer from the excited cage species to 3 O 2 . While it is worth noting that the substrate could be encapsulated inside the cavity of photocatalytic [2Cl@Pd 4 51 8 ] singlet oxygen sensitization and hetero-Diels-Alder reaction can also take place on the outside, as even [3BF 4 @Pd 4 51 8 ] shows activity despite its inability to act as host for the substrate. Encapsulation of both substrate and endoperoxide product in [2Cl@Pd 4 51 8 ] was conrmed by NMR, MS and X-ray techniques (Fig. 22c). 126

Temperature as external stimulus
In 2019, Nitschke and co-workers reported a triazatruxene-faced (52) tetrahedral coordination cage assembled through Zn II cations. 127 This cage can adopt two diastereomeric congurations (T 1 and T 2 ), which can be interconverted by a change in temperature (Fig. 23). T 1 is favoured at lower temperatures, while T 2 is predominant at temperatures above 80 C. The authors utilized this circumstance and tested guest-binding affinity of a variety of compounds. It turned out that T 1 preferably binds small aliphatic guests such as dibromoadamantane. T 2 on the other hand readily binds larger aromatic guests such as calix [4]arene. The different preference is a result of different cavity sizes of T 1 and T 2 .

Catalysis inside homoleptic coordination cages
The abovementioned examples illustrate the rich host-guest chemistry of many homoleptic coordination cages. By installation of responsive units such as photoswitches into the ligands, host-guest chemistry can be controlled by external stimuli. This can be simply the release (or uptake) of one specic guest. More complex systems can distinguish between a mixture of substrates and pick out the best-tting guest. The nature of the cage plays an important role in guest binding. So are cationic cages quite likely to bind negatively charged guests. And hydrophobic cavities will bind unpolar guest much stronger in aqueous media than in organic solvents. Selective guest binding is oen a precondition for subsequent chemical transformations inside the cavity. In terms of catalytic reactions, supramolecular chemists like to compare their articial systems to natural enzymes. 33,34,47 Active sites in enzymes are oen buried within a protein, creating a hydrophobic cavity. Early reports on articial enzyme mimics utilized highly polar, water-soluble compounds such as cyclodextrins 128 or compounds with large aromatic panels for substrate binding. 129 A typical reaction that was explored with these systems is the Diels-Alder reaction. 130 Catalytic activity for bimolecular reactions is oen driven by an increase of the local concentration of reaction partners within the microenvironment created by the cavity. In the following, we will discuss some more recent literature on cage catalysis, where external stimuli play an important role. The scope of this review does not allow to cover all literature on cage catalysis. We rather pick out a few outstanding examples and ask the interested reader to refer to recent reviews in this area. 34,46,47,131,132 In general, there are three different scenarios for cage catalysis: (i) the supramolecular host encapsulates substrates and thus increases local concentration, (ii) a catalyst is coencapsulated together with substrates, (iii) components of the cage (either ligand or metal) possess a distinct function and participate actively as catalysts in the reaction. Toste, Raymond and Bergman utilized their aforementioned homoleptic Ga IIIbased cage 108 with bis-bidentate catechol ligands 53 to accelerate a variety of reactions (Fig. 24). In early studies, they found that the cage promotes formation of iminium cations 133 and protonation of amines in aqueous media. 134 On the one hand, the hydrophobic cavity encapsulates these products, shields them from bulk water and protects the cationic species. On the other hand, electrostatic interactions between the anionic cage and cationic guest stabilize the latter. The authors went on and studied the performance of the cage in catalytic reactions. As an early example, they demonstrated successful catalysis of the Prins cyclization of citronellal (Fig. 24a). 135 In comparison to the same reaction in bulk solution, where several side products were observed, with the cage serving as catalyst the expected product formed in 69% yield as major species.
Concerning the encapsulation of a catalyst in the cavity, Raymond and coworkers bound gold complex Me 3 PAu + inside their cage. This host-guest complex catalysed the hydroxyalkylation of alcohol-tethered allenes with up to 67 turnovers (Fig. 24b). 136 In a similar fashion, Reek utilized Fe II -based cages built from Zn II -porphyrines for encapsulation of a variety of catalysts. [138][139][140] In these cages, the Zn II -porphyrine-based ligands play a dual function: with their four terminal diimine donors, they coordinate the Fe II vertices, and the central Zn II -cation contributes to catalyst encapsulation by coordinating the pyridine-donors included in the ligands of the catalyst. Especially for reactions in which the redox state and thus, the charge and coordination ability of the catalyst are changing, such additional anchors are quite important. In a recent study, Reek encapsulated a [FeFe] hydrogenase active site model compound with the aid of a pyridyl-phosphole ligand as anchor into such a cage. 139 This combination drives the photochemical proton reduction. In an electrochemical follow-up study, 138 the same authors utilized a slightly modied version of the diiron complex and identied a shi to lower overpotential of the [FeFe] catalyst as a result of encapsulation inside the cationic cage. The third scenario for cage-catalysis is the utilization of reactive or light-susceptible components for cage assembly. Strictly speaking, already Reek's porphyrin cage belongs to this category, because the porphyrin ligands can act as photosensitizers. In another example, Su and coworkers prepared a Pd IIconnected octahedron with Ru-tris-phenanthroline-based trismonodentate ligands. 141 Under irradiation and in presence of triethylamine, the authors observed hydrogen evolution. 142 In this system, the metallo-ligands function as photosensitizers, while the Pd II -nodes have a dual role: they act both as mediators for supramolecular assembly as well as active sites for proton reduction.

(Multi)functional heteroleptic cages
While Section 2 illustrates that the structural complexity of supramolecular architectures has already evolved signicantly in terms of heteroleptic assembly, the controlled introduction of functionality into these systems is still in its infancy. Possible applications of such multifunctional coordination cages include modular receptor platforms, efficient excitation-or charge-transfer systems based on donor-acceptor combinations or cooperative catalysts. Similar to many enzymes, such systems could include a receptor that is reacting to an external input such as light, change in pH or the addition of a chemical substance. Activation of the supramolecular system by an external stimulus could then cause a response such as structural rearrangement, change in guest-binding ability, chargetransfer between two components or the promotion of a chemical reaction. In the following, we will discuss recent studies from the literature, where two or more different ligands, comprising at least one functionality, have been combined in the form of one heteroleptic coordination cage.

Guest-inclusion by heteroleptic and pseudo-heteroleptic cages
In the rst example, reported by Bloch and co-workers, a diamine ligand 54 was used that can interconvert between three different backbone conformers, giving rise to formation of a dynamic combinatorial library (DCL) of Cu 2 -based cage isomers [(Cu) 2 54 4 ] of different shape (Fig. 25a). 143 The authors found that differing the solvent compositions used for crystallizing the metallo-supramolecular assemblies allowed to select distinct solid state morphologies, differing in their composition of ligand isomers and including pseudo-heteroleptic species, where two different ligand isomers are present in the same species (Fig. 25b). Furthermore, CO 2 uptake was studied in activated powders of the different isomeric materials, showing that gas uptake characteristics are signicantly modulated, despite the fact that the only differences between the constituents are the ligands' conformational features (Fig. 25c). Finally, it was shown that the cages [(Cu) 2 54 4 ] can be transformed into dinuclear rings when ligands are partially replaced by added pyridines (Fig. 25d).
In 2015, Yoshizhawa showed a nice example of guestinduced heteroleptic cage formation. 144 If two homoleptic coordination cages based on anthracene-containing ligands with phenylene-and naphthalene backbones, respectively, are mixed in DMSO, dynamic ligand exchange results in a statistical mixture of cages ½Pd 2 L 4Àn L 0 n (n ¼ 0-4). Addition of fullerene C 60 allows to drive the dynamic equilibrium efficiently to form only the host-guest complex ½C 60 @Pd 2 L 2 L 0 2 as single product. The phenylene-based homoleptic cage alone showed to be too small to encapsulate C 60 , while the larger naphthalene-based cage alone prefers to bind larger guests such as C 70 or malonate-C 60 . Guest binding in this system is driven by p,p-interactions between the large aromatic panels on the ligands and the fullerene guest. It seems that the heteroleptic C 60 complex shows the best host-guest match of p-faces, and thus is the most stable form.
As discussed above, heteroleptic coordination cages can also be formed selectively without the use of a template. Clever's heteroleptic cage cis-[Pd 2 24 2 25 2 ] was prepared based on shape complementarity. 78 The bent architecture of this host, with Pd(pyridine) 4 planes tilted with respect to each other, encouraged the authors to test whether it could be utilized for shape-specic guest binding. Indeed, 1 H-NMR titration revealed that a bent 2,7-naphthalene disulfonate guest binds more than twice as strong as its linear 2,6-analogue (Fig. 26). The clear preference for the bent guest demonstrates nicely how a low-symmetric coordination cage can selectively choose a guest of matching shape. Interestingly, opposite guest selectivity was observed when letting the same guests compete for binding inside a D 4h -symmetric [Pd 2 L 4 ] cage with coplanar Pd(pyridine) 4 planes, caused by a better match of the linear guest to the cylindrical cavity of a more regularly-shaped host. 145 A signicantly more intricate system that accepts the action of three different inputs to control the guest binding ability of a series of chemically related hosts was recently reported by the same authors. Here, photoswitchable ligands based on DTE backbones, as introduced above, were employed, but this time equipped with sterically demanding quinoline donors that were discussed in the 'coordination sphere engineering' approach described in Section 2.2 (Fig. 27a). 146 Photoisomerization in this system is now able to tip the balance between formation of a [Pd 2 o- 55 4 ] cage with four open photoswitches and a [Pd 2 c-55 3 Solv 2 ] bowl containing only three DTE bridges (as closed form) for steric reasons and two solvent molecules that complement the square-planar Pd II coordination spheres. While guest uptake behaviour already differs between the cage and the bowl, the latter one could be modulated in its host properties by applying two further stimuli (Fig. 27b). On the one hand, replacement of the coordinated solvents by halide anions changes overall charge from 4+ to 2+, thus decreasing the affinity for uptake of an anionic guest. On the other hand, a fourth ligand carrying less bulky pyridine donors (such as 56) could be installed to obtain an unprecedented heteroleptic [Pd 2 c-55 3 3 56] could be characterized by single-crystal X-ray structures (Fig. 27c).

Light-induced charge transfer in heteroleptic donoracceptor systems
Clever and co-workers reported on the statistical assembly of mixed donor-acceptor-functionalized interpenetrated double cages [Pd 4 D n A 8Àn ] (57 ¼ D, 58 ¼ A) with electron-rich phenothiazine (D) and electron-decient anthraquinone (A) as backbones of the ligands. 147,148 Pd II -mediated assembly of ligand mixtures led to the formation of statistically mixed interpenetrated double cages, in which a varying number of D and A moieties (eight in total) are densely packed (Fig. 28). In addition, homoleptic cages of each functional ligand were prepared. Mixing both homoleptic double cages with each other did not result in ligand shuffling within several weeks, thus the system seems to be kinetically inert. Both donor-and acceptor cages show reversible electrochemical redox events at comparable potentials as the free ligands. The fate of photoexcitation within the statistically mixed heteroleptic cages was analysed by femtosecond time-resolved UV-vis and IR spectroscopy. The formation of charge separated states with a lifetime between few ps to >1.5 ns was observed. The broad range is a consequence of a statistical distribution of D and A. In contrast, mixtures of the two homoleptic cages [Pd 4 D 8 ] and [Pd 4 A 8 ] did not yield such charge-separated states. The drawback of working with statistical mixtures of mixed-ligand cages is a prime motivation to realize comparable donor-acceptor systems, but under full control of stoichiometry and stereochemistry. Here, strategies introduced in Section 2 promise to deliver attractive solutions.
Recently, Hai-Bo Yang and co-workers realized an interesting ring system containing a diarylethene acceptor moiety in combination with an iridium phenyl-pyridine complex as donor. 83 Both functions are connected by trans-protected Pt II units to form a rhombic metallacycle. The iridium complex is known to emit light of 630 nm aer being excited at 380 nm. In its closed form, diarylethene serves as Förster resonance energy transfer (FRET) acceptor and thus quenches the light-pumped emission of the Ir complex. In its open form, the system shows a differing photophysical behaviour.

Heteroleptic cages for catalysis
In 2015, Ribas, Reek and co-workers prepared a heteroleptic supramolecular box based on the charge-separation approach. The box is consisting of two Zn II -porphyrin-ligands 60 with four terminal carboxylate groups and four biphenyl-based amine macrocycles 59 coordinating two Pd II cations, each (Fig. 29). 149 In these boxes, the two porphyrin ligands are on opposite sites, allowing the encapsulation of a Rh-catalyst (thus giving not only a heteroleptic, but even hetero-trimetallic system under orthogonal control of all coordinative interactions!). Similar to the previously discussed homoleptic systems, the catalyst contains two terminal pyridine donors which coordinate to the Zn II cations. Encapsulation of the catalyst allows for enantioselective hydroformylation, with better performance than the comparable homogenous catalyst.
Reek and co-workers also introduced Au-catalysts as endohedral substituents in M 12 L 24 nanospheres, either covalently bound 150 or through non-covalent interactions 151 reaching an extreme local concentration of catalyst inside the sphere cavity. Another example of heteroleptic assemblies for homogeneous catalysis was reported by Mukherjee in 2016, where a molecular prism assembled from urea-based ligands allowed to perform catalytic Diels-Alder and Michael reactions. 152

Implementing heteroleptic cages in materials
Finally, heteroleptic supramolecular systems can also be used as building blocks for designing novel materials. In a recent study by the Clever group, a modied version of the previously described heteroleptic cage cis-[Pd24 2 61 2 ] with acridone (61) and phenanthrene (24) backbones was employed. 153 The acridone ligand was equipped with a dodecyl-chain in order to increase its hydrophobicity. The phenanthrene ligand carries rather polar methoxy substituents close to the charged cage core. The heteroleptic cage that is assembled via shape complementarity therefore possesses amphiphilic character (Fig. 30). As shown by transmission and cryo electron microscopy, supramolecular vesicles are formed in polar organic solvents. These vesicles were shown to stabilize oil-in-oil emulsions (e.g. hexadecane-in-acetonitrile) for considerable times, that are usually based on solid-particle Pickering reagents. As two different organic phases can be compartmentalized on a microscopic level, these new amphiphiles promise application for the emulsion-based synthesis of structured inorganic or polymeric materials.
In a similar fashion, Stang and coworkers prepared a heteroleptic double metallacycle by using integrative self-sorting as strategy. 154 They synthesized two ligands of different size, one with a hydrophobic side chain, the other one with a hydrophilic side chain. In addition, they prepared two pieces matching in size to each of the two dendrons and joined them with a bridge. By assembling these three building blocks via metal coordination, a two-faced Janus-type bicycle with amphiphilic character was obtained. In aqueous media, these supramolecules aggregated to form ber-like structures. In contrast, spheric nanoparticles were formed in organic solvents.

Conclusions and outlook
The eld of metallo-supramolecular assembly has shown that a large variety of complex nano structures can be synthesized from easily available organic building blocks and metal cations from the main or transition group elements. Most examples reported to date are based on several counts of one type of ligand, joined by one type of metal cation per assembly. Early work centred around structural characterization and simple hostguest processes. The aims of recent developments are the desymmetrization of assemblies by the non-statistical incorporation of multiple different building blocks and the introduction of function such as stimuli response, photo-redox behaviour or catalytic activity. One of the largest challenges is to combine features of both of these advances, namely the introduction of multiple functions via the rational integration of more than one organic bridge. Interest in such multifunctional, heteroleptic selfassembled systems is increasing dramatically. There is already a handful of strategies that allow for the non-statistical assembly of well-dened non-symmetric structures comprising multiple components. However, the major challenge is still to breathe life into these systems and make them as powerful as the complex nano systems found in nature, such as enzymes or lightharvesting structures. Furthermore, current developments will deliver tools to develop advanced functional materials.
Coordination-driven heteroleptic architectures with conned cavities are of particular interest, as they enable selective encapsulation of guest molecules, can help to activate them or stabilize labile intermediates. In this way, reactivity can be altered with respect to classic reaction media and solvent effects can be controlled within the nanoconned environments.
In this review, we describe powerful strategies allowing to increase the structural and functional complexity of coordination-driven cages, both homoleptic and heteroleptic ones. We explored topologies where the same ligand occupies different positions in a single assembly and introduced complementary strategies for assembling heteroleptic cages, oen in nearly quantitative yields. Examples based on "coordination sphere engineering" (CSE), "shape complementary assembly" (SCA), the use of non-symmetric ligands and backbone-centred steric hindrance are discussed. We want to emphasize that these approaches do not exclude each other and rst examples already showcase the combination of two or more of these strategies in a single assembly.
At the same time, selected examples comprising the successful introduction of diverse types of functions have been reported. Ranging from photoswitches, strongly coloured chromophores over guest-triggered elements to specic catalysts, their implementation into self-assembled cages opens potential for stimuli-responsive guest recognition, enabling uncommon reaction pathways and harvesting solar energy. Up to date, only few examples exist where two or even more functions have been combined in a single assembly. With this work we aimed at providing an overview of the most relevant tools for non-statistical assembly and implementation of functionality. We envision that future research in this direction will lead to a better understanding of these and further assembly strategies and allow the rational generation of emergent behaviour from the interplay of different functions within nano-sized multicomponent systems. This will lead to the development of novel tools for applications in research areas such as nanomedicine, sustainable synthesis, molecular electronics and intelligent materials. Inspired by the structural and functional complexity of biological structures, synthetic chemistry is stepwise increasing its control over shaping matter on the nanoscale. Bottom-up supramolecular assembly has the power to contribute strategies and innovation to translate fundamental research into value creating applications in the coming decades.