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# Quantum scale biomimicry of low dimensional growth: An unusual complex amorphous precursor route to TiO2 band confinement by shape adaptive biopolymer-like flexibility for energy applications

## Abstract

Crystallization via an amorphous pathway is often preferred by biologically driven processes enabling living species to better regulate activation energies to crystal formation that are intrinsically linked to shape and size of dynamically evolving morphologies. Templated ordering of 3-dimensional space around amorphous embedded non-equilibrium phases at heterogeneous polymer─metal interfaces signify important routes for the genesis of low-dimensional materials under stress-induced polymer confinement. We report the surface induced catalytic loss of P=O ligands to bond activated aromatization of C−C C=C and Ti=N resulting in confinement of porphyrin-TiO2 within polymer nanocages via particle attachment. Restricted growth nucleation of TiO2 to the quantum scale (≤2 nm) is synthetically assisted by nitrogen, phosphine and hydrocarbon polymer chemistry via self-assembly. Here, the amorphous arrest phase of TiO2 is reminiscent of biogenic amorphous crystal growth patterns and polymer coordination has both a chemical and biomimetic significance arising from quantum scale confinement which is atomically challenging. The relative ease in adaptability of non-equilibrium phases renders host structures more shape compliant to congruent guests increasing the possibility of geometrical confinement. Here, we provide evidence for synthetic biomimicry akin to bio-polymerization mechanisms to steer disorder-to-order transitions via solvent plasticization-like behaviour. This challenges the rationale of quantum driven confinement processes by conventional processes. Further, we show the change in optoelectronic properties under quantum confinement is intrinsically related to size that affects their optical absorption band energy range in DSSC.

## Introduction

Quantum confinement is intimately connected with material surface properties and nucleation events. The fabrication of low-dimensional materials at the sub-nanometer scale continues to be a major driving force to improve semiconductor physics and device efficiency. TiO2 is intrinsically ‘locked’ within a wide band-gap photon absorption range substantially limiting its sensitivity to UV and IR solar emissions. This poses a technological barrier in harnessing the broader solar spectrum of emitted electromagnetic waves during incident–photon absorption. The quantum confinement effect has important consequences in decoupling ‘dimensionality’ from the bulk properties allowing band gap and band edge to become tunable entities1. Semiconductor dynamics of shape2 and size control in the quantum state are therefore critical parameters in increasing the availability of photo-generated charge carriers during photoexcitation.

The unique fundamental characteristics of low-dimensional materials bring ‘new’ synthetic challenges to their fabrication — TiO2 is a philosophical example of the difficulties in configuring a quantum state of matter which has been extremely ‘hard-to-achieve’ synthetically. A more exciting and insightful perspective in improving size-control‘ of metals, semiconductors and their complexes is being born from the principles biomineralisation. Bio-mediated semiconductor synthesis3 permits access to kinetic pathways to form quantum confined assemblies4,5 that may otherwise be hindered by conventional synthetic mechanisms. However, the pioneering work of Prof. Mann has been insightful in directing exploratory lines towards a better understanding of the connections that exist between chemistry and biology while building a body of awareness of how bio-driven hierarchical structures have relevancy to synthetic ones6,7. An area of biomimetic importance are self-assembled structures under confinement identified in organisms. A more comprehensive understanding of synthetically driven counterparts is slowly emerging as a compelling area of research8,9.

Some insight has been gained from microbially assembled biopolymers which use storage polyesters to drastically slow down crystallization of the nucleating phase which primarily stems from their amorphous nature in vivo10. Confinement effects alone have proved to be important regulators in delaying amorphous calcium carbonate (ACC) crystalline transitions11 while polyanionic matrix protein such as caspartin from the mollusk shell forms a polymerizable honey-comb-like envelope geometrically restricting calcite outgrowth12. Intervention by polystyrene sulphonate13, phosphinic14 and alkylphosphonic15 surface ligands reportedly result in both size and morphological control of respective amorphous and crystal states by growth inhibition. An interesting scenario that has much relevance to the chemical physics of protein folding16 is the ‘amorphous state’ — preassigned as the nucleation precursor to crystallization17. Such intermediates have overlapping significance with the pre-crystallization phase of the biomineralized amorphous state. The transient nature of folding assemblies and surface driven landscapes and non-equilibrium amorphous pathways provide ‘natures’ opportunity to tune both the size and shape of bio-structures through a series of trapped conformational and competing non-equilibrium polymorphic states18.

The biological observations documented above provide a number of critical clues towards implementing synthetic mimicry at the quantum scale that may be of general applicability to different material types. At the core of the problem lies ‘surface dynamics’ and the need to steer interfacial forces with programmable precision to select for key pathways that slow nucleation growth. This suggests that the origins of molecular self-assembly must lie at the interface of contrasting materials reshaping landscape energies at the surface of nucleating species. This interpretation is supported computationally by non-classical19 biogenic growth patterns that mirror the self-assembly of clusters20 by particle attachment (CPA)21, orientated attachment (OA) and selective hydrocarbon chemistry22. Such mechanisms have proved to be important regulators in the arrest of amorphous precursor phases23 under confinement24 and delayed crystallization in restricted spaces25 increasing the time scale of polymorph conversion26. Another important example relates to the chemistry of pore27 formation synonymous with confined spaces capable of limiting heterogeneous nucleation as a function of pore size. The concept of ‘nucleation in restricted spaces’ may have important implications in biomimicry for bio-mechanistic pathways that exhibit dependency between nucleation events and the order of dimensionality of porous materials27. This emphasizes the important relationship between chemistry and biology at the low dimensional scale gaining recognition from earlier works7. Such studies provide an insightful perspective on the chemical nature of porous cavities and their use in altering energy barriers to nucleation. Overcoming unfavorable energy barriers synthetically opens up possibilities to higher ordered structures that are otherwise more primitive in design by conventional routes.

Biology makes effective use of catalytic surfaces in cationic and anionic environments, surface charge effects, selectivity and spatial periodicity, interfacial energies and polymers by self-assembly from template structures28 to generate passivating surface ligands, pre-clusters as molecular building blocks by CPA and OA in confined spaces to self-assemble low dimensional materials. Here, we designed an approach to gain better understanding of the basis of biomimicry at the TiO2 surface. We used this to approach for the rationale design of sub-nanometer TiO2 to improve its photodynamic properties. Using the space restriction around alkyl-rich phosphonium centered cation with a poorly coordinated dicyanmide anion, the potential biomimetic surface properties of the titanium isopropoxide bulk precursor at the TiO2-ionic liquid (IL) interface was investigated. The periodically spaced mixed anionic–cationic IL enriched by phosphonium and nitrogen complexes tethered to long hydrocarbon chains formed the basis of a synthetic mimic rationalized to function as the desired biomimetic matrix. Here, the complementary interplay at the TiO2-IL interface driving enzyme-like bonding configurations at Ti and defect sites mirrors biogenic pre-crystalline growth29 exhibiting both shape and size tunability between metastable (amorphous), semi-crystalline and crystalline states. Solvation resulted in a self-assembled polystyrene–porphyrin–TiO2 (PS-P- TiO2) caged complex dominated by nitrogen8,30 and phosphine ligand chemistry. We further demonstrate that polymer compartmentalization of TiO2 is intrinsically coupled to band gap excitonic emission. Stabilized nanocaged TiO2 revealed an overall cell efficiency performance of 8.39% which suggests an increase in overall of charge transfer and cell efficiency by 2.85% and 0.54% respectively as compared to TiO2 alone.

## Templating Polymorph Selection at The TiO2-Polymer Interface Via an Amorphous Phase at The Quantum Scale

We investigated the biological relevance of a synthetic template as a potential biomimetic intermediary and chemical facilitator for the assembly of sub-nanometer TiO2 particles by confinement. We reasoned this to be possible using an alkylated phosphonium dicyanamide ionic liquid (IL) reaction medium composed of loosely ordered cationic-anionic ions. The possibility of inducing ‘slowed’ nucleation growth by nitrogen and phosphinic complexation with the catalytic TiO2 bulk precursor surface by self-assembly and the potential for polymer confinement by adsorption of hydrocarbon chains at metal oxide sites was explored as an alternative to using polymer additives. We sought evidence for the possible growth arrest of TiO2 to the quantum range at the polymer-metal interface by rapid positioning of charged monomer units polymerized within confined volumes31.

This hypothesis was supported by the formation of localized‘ growth patterns of TiO2 quantum dots (QDs) in a confined reaction space. Figure 1(ii) shows an ‘interaggregated’ amorphous network of non-crystalline spherical morphologies of semi-conductor particles at 120 °C assembled in IL medium with the bulk TiO2 precursor Fig. 1(i). The bright-field electron imaging in Fig. 1(ii) shows a high density of adjacently positioned nuclei seeds revealing unexpectedly, a high degree of self-driven organization at the sub-nanometer level which may have structural relevance to a pre-crystallization amorphous state in biomineralization. To explore the morphological significance and overlapping features with biologically induced growth mechanisms, HRTEM and WAXS analysis was used to determine the nature of the underlying growth heterogeneity at the boundary edge affecting size and shape flexibility of QDs. The striking monomodal size distribution of growth restricted nuclei suggests a ‘scaffold’ assisted growth pattern indicative of extensive polymer networks. Such adjoining networks have been shown to direct the arrest of non-crystallographic thin films and fibre-like morphologies of calcium carbonate using charge specific synthetic polymers32. In ethanol the presence of a co-polymer blend at the TiO2 interface is revealed by imaging of the periodic lattice fringes in the inset of Fig. 2a observed prior to electron damage (as shown within the yellow boundary). The analysis shows that the geometric spacing at the boundary is consistent with the polymer outgrowth of polystyrene (denoted here as Pst and elsewhere as PS). This observation was also confirmed by X-ray diffraction from the WAXS analysis (Fig. 2b) which also revealed a distinguishable blending polymer phase corresponding to (PSt) which conformed to a rhombohedra type geometry with hexagonal axis lattice parameters; a = b = 2.12288 and c = 0.65 nm (space group $$R\bar{3}c$$). This conformation is formed at the boundary of the tetragonal phase of rutile TiO2 with lattice parameters a = 0.46047 and b = 0.2909 nm (Table S1). The confined size growth of TiO2 in the sub-nanometer range of 1.25–2.81 nm shown by the TEM image in Fig. 1(ii and iii) agrees well with WAXS analysis (Fig. 2b). Table S1 shows that increasing the content of solvent from 1: 10 to 1: 20 (v/v) enhances the crystallinity of Pst but decreases the polymer pore size. We assert that the process describes a new order of precision that parallels naturally occurring biological interactions. By analogy, self-complementarity among structural components begins from evolving monomers that are dynamic and adaptive to a changing nucleating surface triggering anisotropic behaviour. In fact, the anisotropic properties of the polymer are affected both by temperature and solvent. Table S1 shows that polymer tacticity of polystyrene alters the crystal symmetry with a change in temperature from isotactic to syndiotactic. Thus, the ‘nanocaging’ of TiO2 Fig. 2a provides evidence that the geometrical nucleating surface of polystyrene is actively responsive to the changing face of the semiconductor surface resulting in growth arrest. The functional biomimcry of polystyrene caged TiO2 is comparable to lipid-protein trapped vesicles of iron oxide33 that exert stress and strain at the boundary of contrasting interfaces. The overlapping polymer and TiO2 crystallographic planes and line defect at the boundary edge are shown in Fig. 2a,c respectively. Such imperfections and deformities (Fig. 2d) are likely to form during the early stages of growth and here, the pre-assembly of amorphous networks signify the dominance of rapidly driven polymerization kinetics around growth restricted TiO2 nuclei. However, crystallization from the amorphous state is easily achieved in ethanol suggesting that solvation plays a minor role in the ordering of the crystallographic phase by lowering the surface energy. Thus, sizeable reductions in interfacial energies at the intersection of soft-hard surfaces such as metals and polymers can introduce new relationships between nucleating geometries, size and confinement in a metastable configuration.

## Configuring Functional Biomimicry at The TiO2 Surface: Supramolecular Compartmentalization of Polystyrene (PS) Caged TiO2 Bridged Via Porphyrin (P) Rings in The Self-Assembly of PS-P-TiO2

### Deciphering the fundamental building blocks of PS-P-TiO2 at the IL-TiO2 interface

The concept of segregated growth and bio-driven compartmentalization has important biological relevance in the co-assembly of materials with incompatible surfaces. We sought evidence for amorphous driven compartmentalisation at the catalytic TiO2 surface through bond activation of C─C, C─H, C─N C─P and O-Ti─N. The functional biomimcry of compartmentalisation is a distinguishable feature permitting undesirable polymer chain growth around metal oxide nucleation sites. We used X-ray photoelectron spectroscopy (XPS) and Fourier-transform infrared spectroscopy (FT-IR) to map the cooperative conformational use of space under strained geometries, charge, functional group selectivity, particle assembly and alignment of interacting particles at surfaces and sub-surfaces to establish the structural composition at the polymer-organometallic interface. In ethanol, the amorphous to a crystalline phase transition of the metal-organic assembly was broadly surface sensitive to the binding energy (BEs) peak at 284.5 eV in the C1s spectra (Table S2). This suggests the presence of an extensive carbon-hydrogen structural scaffold and signifies ‘out-of-plane’ C=C vibrational bands (1494–1453 cm−1) that are often associated with styrene complexation34. The detection of residual quantities (<2%) of phosphorous penta-oxide (P2O5) with binding energy (BE) of 135.6 eV (Table S2) in the P2p XPS spectra (Fig. 3b) may be important to the availability of phosphoric acid (H3PO3) (BE of 133.78 eV; P2p) (Fig. 3b). Figure 3ii shows that it may have been liberated from its reaction with water. Depleted levels of the acid precursor suggest that phosphoric acid may play an important role as an initiator in crosslinking of styrene monomers to form polystyrene chains via its interaction with vinyl and ring aromatic groups such as benzene (Fig. 3iii). The C=C bond stretch around 1494–1453 cm−1 (Fig. 3d) likely originates from the self-assembly of benzene and styrene molecules as precursors to polystyrene (PS) assembly (Fig. 3i–iv) leading to polystyrene (Fig. 3(v)).

Further, weak vibrations associated with a pool of vinyl groups emerging at 1415 cm−1 in the FT-IR spectrum (dashed box in (Fig. 3d)) could potentially behave as an effective PS crosslinking agent35. Such polymerization events have much relevance to the quantum confinement of TiO2. This is supported by nucleation mechanisms in which semi-crystalline intercalation at metal-polymer hybrid interfaces have been shown to assemble with polyethylene-block-polystyrene (PE-b-PS) into segregated nano-domains effectively causing metal growth arrest within the PS matrix36. A change in the packing structure of this order is also reflected in the comparative FT-IR profiles (Fig. 3d). Further, analysis by XPS reveals substantial modification of the bulk TiO2 surface generating template induced oxygen deficient vacancy sites around Ti3+ residues. This is reflected by an asymmetric Ti2p(2p3/2) peak spectral shape corresponding to BEs 456.25, 457.60 and 461.96 eV (Table S2 and Fig. S1). The accompaniment of a complex spectral pattern of the bond order TiN0.12O0.98 (BE N1s; 397.59 eV) that correlates to a porphyrin ring arrangement of the N1s peak with BE 398.97 eV suggests that Ti3+ passivation occurs via sub-surface Ti–N ring compartmentalisation (Fig. 3c and Table S2). This leads to the assertion that the growth confinement of TiO2 is chemically locked in a 4 N or 2 N porphyrin ring geometric arrangement embedded in the PS scaffold. Strong orbital overlap between Ti and two oxygen atoms shown in the spectral for O1s with BEs; 529.71, 530.34, 531.62, 531.95 and 533.30 (Table S2) is consistent with the nucleation and growth of TiO2. We infer that quantum scale confinement of TiO2 is enthalpically driven by Ti–N bond formation that may kinetically exceed porphyrin and polystyrene polymerization at temperatures below the glass transition state of polymer crystallization. This scenario predicts the formation of a carbon-hydrogen-nitrogen polymer scaffold arresting TiO2 nucleation via Ti–N bond associations in nano-size cavities. We propose that sub-fractionation of polymer growth induces a ‘cage-within-a-cage’ architecture comprising nanometer sized PS crystals causing the quantum confinement of TiO2 confined in periodically bridged porphyrin molecules. This hierarchal assembly evidenced by the association of aligned phenyl moieties of polystyrene (BE C1s; 284 eV) with porphyrin rings (BE N1s peak; 398.73 eV) (Fig. 3c and Table S2) is shown in Fig. 4. Entrapment of TiO2 at the polystyrene-porphyrin boundary suggests that nitrogen doping of Ti2O3 (Tables S2 and S3) via Ti–N bond activation is an effective route for nanocaging the metal oxide within the PS-P matrix.

In the presence of ethanol, the appearance of vibrational frequencies around 1096 cm−1 and 3300–3500 cm−1 (Fig. 3d) in PS-P-TiO2 also signifies the dominant role of nitrogen chemistry in the formation C–N and N–H bonds respectively (Table S3) at the TiO2 surface. This provides supporting experimental evidence for the dissociation of nitrogen from chemisorbed nitrogen complexes (IL) and validation for theoretical calculations that favour low activation barriers for nitrogen dissociation on rutile surfaces37. A probable route to nitrogen reduction to NH from nitrogen-rich anions at the TiO2 surface could occur by direct N–N bond scission via bridging oxygen (O-br) vacancy active sites on rutile (110)38 implying a critical role for O-br defects in nitrogen chemistry. However, the dissociation of C–N and N–H bonds from surface adsorbed dicyanamide stabilized by water molecules adsorbed onto bridge-bonded oxygen vacancies might facilitate an alternative route to incorporate nitrogen as a building block for the assembly of complex functional structures as evidenced here. The findings indicate as reported elsewhere39 that the TiO2 surface is more selective towards associative pathways for nitrogen reduction.

### Orientated particle attachment as a route to biomimcry in the assembly of PS-P-TiO2

In nature, the physical shape, size and composition of interacting substrates with enzymes for example, determine if bonds can be broken and formed upon binding by overcoming barriers to activation energies. Innovative experimental approaches have shown that the catalytic nature of metals and their oxides is strongly dependent on size, shape and composition40. In fact, catalytic selectivity at the nanoscale is drastically altered41. Oriented assembly occurs by spontaneous particle fusion along a common growth axis and rotation at interfacial boundaries42. This is accompanied by bond formation which serves to reduce surface energies at interfaces. In PS-P-TiO2, mismatch growth patterns (Fig. 2c) were also accompanied by anti-phase boundaries forming atomically spaced ‘step-like’ layers of polymer along the same growth axis and showed hallmarks of rotational fusion at the edges (Fig. S5). In the absence of chemical additives such as surface binding ligands that passivate high energy dangling bonds during nucleation14,15, we assert that programmable nucleation growth of TiO2 is better orchestrated by energy changes that occur congruently with the evolving surface from a chemically inert to a functionally active arrangement. This implies an alternative mechanism of hierarchical growth that occurs through the formation of surface-assembled particles or clusters different to atom-by-atom growth. Defects states such as vacancies, interstitials, edges, curvature and anti-phase boundaries (Fig. 5a) result from the miniaturization of particles from the bulk to sub-nanometer dimensions at the metal oxide surface. The morphological contours of defect sites behave as active sites for interacting particles that can effectively bind through adsorption processes. Intermediate products that result from the introduction of new chemical functionalities through catalytic transformations embody the structural framework that mirror the changing energy configurations of defect states as they evolve by biomimetic strategies (Fig. S6). This is coupled to activation barriers intrinsic to the defect surfaces permitting the dynamics of site-specific cluster formation from the bulk reaction medium on the time scale of heterogeneous nucleation. The demand for precision in structural design of metal organic frameworks (MOFs) require a better understanding of energy supply to trigger reaction pathways of interest. In the ‘assembly of PS-P-TiO2, some clues to the nature and composition of intermediate pre-clusters and clusters have been identified using the structural methods described in Figs. 2 and 3. In orientated attachment, local disorder at defect sites play a role in particle alignment of pre-clusters and clusters, directing their movement (e.g. rotational motion) and co-alignment while adopting growth patterns to minimize energies at interfaces. Analysis by XPS (Fig. 3c and Table S1) shows that chemisorbed dissociation of nitrogen-rich complexes at the TiO2 surface induces oxygen vacancy sites (Ti3+) largely altering the charge distribution. The replacement of N with O which is compensated by Ti–N bond formation and the occupation of N at interstitial positions also provides opportunities for the formation of passivating ligands (Table S2). The relationship between crystal size and shape and their correlation with surface properties is summarized in (Table S1). Analysis shows that the Miller indices of rutile are preferentially associated with the (100) and (210) type facets and correlate well with growth dynamics along the plane of uncoordinated sites at the reactive surface with changing solvent concentration. This suggests that oxygen vacancy sites likely to play a key role in the precursor decomposition of nitrogen-rich dicyanamide molecules releasing nitrogen precursors, C≡N and C─N. Reportedly, an important observation is the aromatization of linear hydrocarbon alkane chains via C─H bond arrangement. Selective chemisorption of pre-clusters in the direction (100) and (210) reveals strong relevance to electronic fluctuations in Pt43 along (100) and (210) accompanied by the release of H2, CO44 and reactive radicals as important intermediates of metal induced catalytic reactions. Such a mechanism might have relevance in the stabilization of Ti defect sites via Ti─N bond formation and the restructuring of phosphine derived alkane chains around Ti─N centers into a porphyrin configuration. Tables S1 and S2 however, provide some insight on the intrinsic nature of the planes and their dominance in Ti─N bond stabilization. From Table S2, it is evident that porphyrin assembly associated with Ti2O3 defect sites at the TiO2 surface shows small variation in the area percentage change from RT to 120 °C. For example, a small change in the area percentage of Ti2O3 (2p3/2) with temperature variation BE’s around 457.65 and 456 0.89 eV) (Table S2) indicates that defects are atomically passivated by nitrogen surface capping. Table S1 however shows that organic and organometallic adsorbates are less tightly associated to defect sites along the R(100) direction signified by a change in the lattice parameters (TiO2). Here, a change in the solvent environment increases surface mobility favoring the re-orientation of molecules to lower surface energies. In contrast, strong immobilization of porphyrin via Ti─N coordination imposes a ‘capping’ effect on the (210) plane stabilizing the surface. The surface dynamics along ‘h’ direction provides for greater heterogeneity in catalytically driven reactions at reactive defect sites.. The atomic reconstruction within oxygen deficient sites (dotted white bordered dark regions shown in Fig. 7(a,d) provides an important mechanistic clue for the involvement of alkylated P atoms in polymer growth around porphyrin entrapped TiO2. The direct visualization of atom migration was observed atomically using resolved HRTEM. Here, Frenkel defect pairs OI (red dots) and VI (dotted white circle) shown in Fig. 7 (a,d) results from both oxygen ion mobility and substitutional point defects originating possibly from the larger atom migration (Fig. 7c; ‘bright spotted’ P atoms encircled in red). Further, the imperfectly oriented attachment of atoms lead to screw (Fig. 7b) and edge (Fig. 7d,e) dislocations. These defects direct the formation of ‘step-edge’ and ‘slip’ layered type architectural growth. The slip growth architecture shown in Fig. 7(d,e) is indicative of weak binding which supports flexibility at the metal-organic interface. The elimination of defects correlates well with the alignment of P atoms with along Ti3+ defect sites. However, metal-ligand interaction results in site specific aromatization of linear alkyl chains at P attachment sites to tri-phenyl phosphine oxide (TPPO) (P2p; BE 132.5 eV) (Table S2) at RT. Temperature induced growth at 120 °C leads to accelerated growth modification of TPPO to 1,2-ethanediyl)diphenylphosphorane oxide (P2p; BE 132.3 eV) (Table S2) accompanied by a substantial increase in the area % from 0.5 to 75.4 respectively. The infinitesimal shift in the BE between phosphine and phosphorane indicate that clusters chemisorbed around Ti3+ defects retain structural flexibility at moderate temperatures in solvent. The ease in structural conversion is favoured by a delocalized state increasing surface stability due aromaticity of alkyl chains. Catalytic selectivity and weak dissociative binding along defect sites has important implications in pre-cluster assembly. Like chemical reactions that occur under bio-compartmentalization in shape changing environments, the migration and evolution of larger self-assembled clusters at defect interfacial boundaries are perhaps complementary to rates and shape transformations45 at chemisorbed sites. While reaction rate and selectivity is controlled by size and shape on metallic nanoparticles46, the Scheme in Fig. 5 shows that catalytic selectivity at the surface is a tunable entity for an evolving cluster and is intrinsically coupled to alterations in chemical functionality via bond activation47. XPS confirms the HRTEM observation and shows temperature induced changes in defect behaviour from RT to 120 °C favoring dramatic surface reconstruction. This is mapped by the decomposition of 1,2-ethanediyl)diphenylphosphorane oxide (P2p; BE 132.3 eV and Fig. 5; Scheme ii). The dissociative loss of aromatized phosphine oxide P=O functionality is marked by changes in bond activation to C=C (Fig. 5; Scheme iv) with the release of styrene monomers (Table S2; C1s; BE 284.5 eV) by dehydrogenation of the possible intermediate structure; ethyl benzene (Fig. 5; Scheme iii). Hence, controlling the metamorphosis of shape dynamics of ‘multi-pathway’ defect-cluster interactions holds the potential to release unique geometrical structures via surface energy driven bond activation as observed for PS-P-TiO2.

## Confinement Uses a ‘Strained-Induced’ Growth Mechanism to Biomimic The Amorphous ‘Arrest’ of Quantum Caged TiO2

It is not unusual for living systems to ‘switch’ from a precursor amorphous phase to a crystalline state to synchronize and adapt to environments based on size and shape morphology. Transient amorphous CaCO348 and biopolymers49 are examples of regulated networks in which a readily ‘distinguishable’ amorphous matrix coexists within regions of crystallinity. In the absence of solvent, high resolution TEM of PS-P-TiO2 (Fig. 1) show growth restricted crystals of TiO2 in confined spaces in an amorphous polymer network. This suggests that polystyrene polymer uses short range order to adapt to the size and shape of surrounding crystalline metal centers. We sought evidence for biomimicry in the growth arrest of TiO2 at the polymer-metal interface from the rapid positioning of charged monomer units polymerized within confined volumes31. We previously discussed the effects of distortion around the porphyrin-TiO2 complex8 and here we aim to discuss how polymer blends at the metal interface might experience constrained growth and interfacial stresses. The transition from a periodically spaced environment from the IL bulk state to ring confinement relies on bond distortion to minimize the interfacial surface energy during heterogeneous nucleation. We infer that the restricted growth characteristics of TiO2 coupled with size and shape selectively is mainly affected by the binding symmetry at the metalloporhyrin site manifested by C─N, and Ti─N bond ring deformity in accommodating TiO2 which is evidenced by the large spectral red shift of the Soret (B-band) from 422.1 to 446.1 nm observed in the abs-λ profile (Fig. 6). The peak shift also signifies the presence of PS as an anchoring framework to porphyrin and distortion of the phenyl moiety at the P-PS boundary where the alignment is affected by positioning of TiO2 at the porphyrin center. This scenario correlates well with a rapidly evolving amorphous phase at the out-growth of polymerization over a slower ‘ordered’ phase50. This phenomena is the cornerstone to interfacial stresses at the metal-polymer boundary where growth restraints dominate over particle size. Thus, predictably surface energies favour non-crystallinity of an amorphous polymer phase while inhibiting TiO2. nucleation in low-dimensional porous cages. Two melting peaks in the differential scanning calorimetry (DSC) analysis (Fig. S2) observed for PS complexation shows the co-existence of a high and low crystalline form corresponding to the MOF configuration and a semi-crystalline state forming at 408 and 41 °C respectively that resides well above and below the glass transition temperature (Tg) of the polymer around 100 °C for the uncomplexed PS. This may arise due to fractionated polymerization. Polymer confinement to nanometer scales and the associated changes in transition glass dynamics further reflect the cooperative thermal motion and confined geometries intrinsic to the polymer blend. The dissimilarity with protein behaviour however is marked by an anomalous trend exhibited by a strong-to-fragile transition evidenced by a high-to-low fragility index (Tm/Tg) T of the quantumized TiO2 caged polymer blend upon gradual cooling under ambient conditions. Low temperature glass transition dynamics of proteins evidenced by the ‘fragile-to-strong’ shift in the behaviour of associated water molecules51 has recently been demonstrated for cerium oxide52. The suppression53 or enhancement54 of protein glass transition dynamics mediated by strongly interacting chemical environments that include solvents and biopolymers suggests that the phenomena of synthetic polymer confinement self-assembled via a templated matrix may also obey similar behaviour glass-like characteristics across a material dependent temperature range. Table S4 compares the order of difference in the Tg of polystyrene in PS-P-TiO2 with the bulk states at 120 °C and RT respectively revealing drastic changes in polymer properties with the bulk characteristics. While the fragility index provides a good indication of stress-relaxation behaviour55, transition of PS to the fragile state in crystalline PS-P-TiO2 (in ethanol) from an otherwise ‘strong’ PS configuration of the bulk state (Table S4), mirrors the ‘plasticized’ effect of variable water mobility under confinement of biopolymers56. We have discussed previously the tacticity of PS-P-TiO28 a structural regulator in PS likely plays a prominent role in bond selectivity permitting crosslinking molecules and bridging structures. This allows the construction of a supramolecular PS matrix transitioning from an amorphous, semi-crystalline to the crystalline phase triggered by solvent. Hence, polymer-metal amorphous states achieved at moderate temperatures within the close range of the glass transition state of self-assembled polymer materials undergo heterogeneous nucleation to glassy colloid structures. Such disordered patterns can ‘switch’ to a crystalline state through stimuli-triggered environments.

## Solvent-Water Dependent Polymorphism of Surface Modified TiO2 Typifying Biogenic Amorphous Character

Recently, a study by Gorshunov et al.57 revealed that the restriction of water molecules spatially inside nanocavities and their subsequent association with cavity walls exhibit properties that are directionally dependent and influence vibrational states and dynamic behaviour. Further, unusually bonded water networks can operate as templates inducing metal nanoparticles to adopt different shape directed geometries58. This arrangement is quite different to the mobility and diffusivity of water molecules in TiO2. Evidence that supports the dual orientation of water under conditions of confinement that result from polymer stress and strain is readily visible from the FTIR spectral bands corresponding to water binding states. The regional band vibration stretch at 3550 cm−1 (Figs. 3d and S3) of the broader band between 3000 and 3500 cm−1 (Figs. 3d and S3) is characteristic of the O-H stretch of water and is distinguished from the hydroxyl moiety of alcohol by the peak position at 1652 cm−1 (Figs. 3d and S3) synonymic with the scissoring frequency of the O-H pair of water. This might originate from ethylene oxidation releasing carbon dioxide and carbonic acid (Fig. S3(b); FTIR peaks at 800 and 1048 cm−1) as secondary products of olefinic chemistry. The dramatic blue shift signifies the retainment of water at much higher levels in the polymer organization at 120 °C different to the aqueous structuring around the polymer at RT in which the vibrational frequency at 1652 cm−1 is absent. The blue shift in the vibrational state of water to 1652 cm−1 may be correlated to increased hydration with greater flexibility in the rotational freedom of water to the more rigid confinement at the low frequency end at 3550 cm−1 (Figs. 3d and S3). Differences due to the packing of hydrogen bonded water molecules in mobile and constrained environments during self-assembly is profiled by differential scanning calorimetry (DSC) analysis as a result of temperature and solvation effects (Fig. S4). Here, binding preferences may be predominately lattice or coordinated59 and the thermal behavioral sigmoidal pattern in the presence of ethanol at 120 °C shows 56% loss of water occurs at 68 °C from the steep decomposition in (Fig. S4(g)). Under different conditions, water complexation and orientation in PS-P-TiO2 is demonstrably more rigid even in the presence of ethanol at RT and under different conditions (Fig. S4(d–f)).

A colloidal suspension of the amorphous material in ethanol showed shape dependency on solvent concentration that progressed from the initiation of the crystallized state of a metal organic framework (MOF) in 10-fold excess of ethanol [Figs. 2c and 7a; 1: 10 (v/v)] to a crystalline nanoporous state under 20-fold excess of solvent [Fig. 7d; 1: 20 (v/v)]. The ease in the control of metal-polymer morphology was demonstrated further by varying solvent concentration generating rectangular nanocages and layered sheet structures in 40-fold [Fig. 7e; 1: 40 (v/v)] and 60-fold [Fig. 7f; 1: 60 (v/v)] ethanol-MOF reaction mixtures. The anisotropic behaviour between the inorganic and organic network is thought to be the result of phase separation which is being prevented by their attachment60. The SEM images (Fig. S8) of self-assembled polystyrene chains bear some similarity to grafted polystyrene on silica nanoparticles60 that self-assemble into a range of poly-dispersed super structures. The effects of solvent dependent anisotropy observed here is reminiscent of biomolecules in transition to more favorable conformations that make use of molecular associations and binding modes at the solvent─water─polymer interface to adopt energetically better orientated configurations through such chemical contacts. From a biomimetic perspective, by analogy, the energy landscape of a ‘folding funnel’ type trajectory depicted in Fig. S7 highlights the importance of controlling surface chemistry. Knowledge of the parametrics of catalytic defect chemistry will help aid the entrapment and stabilization of novel non-equilibrium structures in thermodynamic pockets via kinetic pathway selection e.g. mimicking metastable amorphous states. The existence of kinetic barriers that arise around glass transition state temperatures of polymers often prevent polymer crystallization to completion at the nanometer and sub-nanometer scales. Such intermediate structures are suggestive of high energy state structures that deviate from the lowest free energy states composed of uninterrupted adjoining chain lengths with highly ordered extended configurations. This occurs by taking advantage of the interchangeability between non-equilibrium states61,62. We have used computational modelling63 to show that supramolecular assemblies based on PS-P polymer confinement of TiO2 interconnected with bridging linkers (identified by XPS) are structurally and energetically feasible (Figs. 8 and S9).

## Application of Nanocaged PS-P-TiO2 QDs in The Efficiency Enhancement of Quantum Dot Dye Synthesized Solar Cells (QDDSSCs)

Recent interest in tunable quantum confined MOF supramolecular structures64 suggest that the structural periodicity governed by a nanoporous landscape embodies surface electronic states that are strongly seeded in the degree of dimensional confinement65. The UV spectral tail extending beyond the intensity observed at RT is consistent with the imaging of quantum sized particles by HRTEM (Fig. S10) and selective stabilization of diphenylphosphorane oxide and porphyrin ligands might originate from the establishment of narrow energy gaps increasing the orbital overlap. This is expected to facilitate donor-acceptor pairing between electron rich T─N bonding and delocalized ringed structures with electron deficient metal oxide d orbitals increasing the energy of HOMOs (highest occupied molecular orbitals) accompanied by decreased energy of LUMOs (lowest occupied molecular orbitals). This could be a strong factor in forming a luminescent metal-to-ligand charge-transfer (MLCT) excited state66.

Correlation of the force field stabilized complex with quantum wave functions of interacting molecular orbitals of existing interfacial boundaries was achieved by calculating the energies corresponding to the UV peak positions at wavelength λ (Fig. 9a) to computed HUMO – LUMO transitions obtained from model calculations (Fig S11). The spectrum range of the colloidal complex spanning the UV, visible and infra-red range was observed for photoluminescence (PL) peak positions corresponding to energies in the range of −1.16–4.33 eV (Table S5) which might to some extent satisfy the band-gap energy state requiring a reduced HOMO and LUMO gap between TiO2. In particular, the charge density distribution along the linker of LUMO + 2 (Fig. S11 and Table 5) and the metal charge distribution of HOMO/HOMO −1 are characteristic of elongated electron dense regions arising from bond stretching during HUMO-LUMO orbital overlap. These band energy assignments are of the same order deduced from the photoluminescence data in the range −2.3–3.5 eV (Table S5).

To test DSSC performance, N179 dye was used as a co-sensitizer to enhance the photovoltaic performance of the newly fabricated PS-P-TiO2 assemblies for their depth of interaction with the embedded dye. However, the substantially poor absorption capacity of porphyrin in the Soret band range (0.02%) (Table S5) in the film was consistent with its expected poor photoluminescence characteristics. N719 dye was employed to counterbalance the sensitizing properties of porphyrin in complexed TiO2 with the possibility of improving better conjugation of the out-of-plane aromatic rings anchored to the central porphyrin core diminishing steric limitations. Figure S10 shows the morphological deposition of TiO2 QDs (indicated by the black arrows) as a HRTEM atomic level bright field image. The incident photon-to-current efficiency (IPCE) measurement in Fig. 10a reveals an enhancement of 54.71% relative to the reference cell (51.86%). This correlates well the overall of charge transfer and cell efficiency of 2.85% and 0.54% at a peak maximum of 540 nm (Fig. 10a,b) in the presence and absence of TiO2 QDs respectively. The enhanced photovoltaic cell performance correlates well with the photo-responsive behaviour of confined TiO2 quantum dots in which crystalline colloidal surface is optically active to absorb across the full spectrum of emitted photons (Fig. 10). Further, the detection of symmetric and asymmetric peaks of variable depth in the electron paramagnetic resonance (EPR) spectra (Fig. S12) is characteristic of the anisotropic nature of the spin state of free radicals and unpaired electrons of nuclei. The proposed mechanism is discussed in the Supplementary Material.

The findings offer renewed interest in the rationale design of synthetic routes with the potential to trigger amorphous driven biomimetic pathways (Fig. 11) that have shown to exert quantum confinement effects for ‘hard-to-achieve’ organometallic architectures. Incorporating both structural and chemical determinants in processes important to biomimicry will ensure the availability of smarter, more efficient and functionally superior nanocontainer type67 materials.

## Experimental Section

Synthesis of Polymer nanocaged TiO2 Quantum dots have been synthesized by a one pot reduction process similar to the method previously reported by Khare et al.68.

### Characterizations

Wide-angle X-ray scattering (WAXS) and XRD were performed using CuKα radiation for 2θ ranging from −100° to + 168° (WAXS) and 10° to 85° (XRD). HRTEM imaging was performed by using JEM03013 (JeOL) with a resolution of 0.14 nm for lattice imaging and 0.17 nm for point imaging. X-ray photoelectron spectroscopic measurements were conducted on Kratos AXIS-Hsi spectrometer using a monochromatic Mg-K X-ray source fitted with a multi discrete detector system. UV- Visible measurements were conducted on Agilent Cary 60 UV-Vis Spectrophotometer and photoluminscence measurements were performed with Raman/PL instrument using 325 nm laser (20 mW), ND 100% filter, Range: 340~800 nm and Grating: 1,800.

### Modeling tools

Based on the experimental data, molecular modelled MM2 force field calculations (Cambridge soft chem3Dultra 10) was used for structure prediction substantiated by geometrical optimization calculations. Molecular orbital calculations employed the extended Huckel model.

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## Acknowledgements

This work was supported by the National Research Foundation of Korea (NRF) grant funded by Korea government (MEST) NRF-2012R1A1A2008196, NRF 2012R1A2A2A01047189, NRF 2017R1A2B4008801, 2016R1D1A1A02936936, (NRF-2018R1A4A1059976, NRF-2018R1A2A1A13078704) and NRF Basic Research Programme in Science and Engineering by the Ministry of Education (No. 2017R1D1A1B03036226) and by the INDO-KOREA JNC program of the National Research Foundation of Korea Grant No. 2017K1A3A1A68. We thank BMSI (A*STAR) and NSCC for support. SJF is funded by grant IAF25 PPH17/01/a0/009 funded by A*STAR/NRF/EDB. CSV is the founder of a spinoff biotech Sinopsee Therapeutics. The current work has no conflicting interests with the company. We would like to express our very great appreciation to Ms. Hyoseon Kim for her technical expertise during HRTEM imaging.

## Author information

Authors

### Contributions

V.K. and S.S. conceptualized the work and designed the study. D.C. and S.K. performed DSC experiments, S.P., S.Y.K. and S.K. were involved in material synthesis, S.F. and C.V. performed the computational modelling and data analysis and interpretation, S.H.A. and C.S.L. provided the necessary laboratory resources, researchers, part funding and were involved in the co-supervision of researchers with V.K. and S.S. S.S. and V.K. performed data analysis, interpreted the results and wrote the manuscript.

### Corresponding authors

Correspondence to Sung Hoon Ahn, Caroline Sunyong Lee or Varsha Khare.

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### Competing interests

The authors declare no competing interests.

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## Supplementary information

### 41598_2019_55103_MOESM1_ESM.pdf

Quantum scale biomimicry of low dimensional growth: An unusual complex amorphous precursor route to TiO2 band confinement by shape adaptive biopolymer-like flexibility for energy applications

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Choi, D., Sonkaria, S., Fox, S.J. et al. Quantum scale biomimicry of low dimensional growth: An unusual complex amorphous precursor route to TiO2 band confinement by shape adaptive biopolymer-like flexibility for energy applications. Sci Rep 9, 18721 (2019). https://doi.org/10.1038/s41598-019-55103-z

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