Scalable synthesis of smooth PS@TiO2 core-shell and TiO2 hollow spheres in the (sub) micron size range: understanding synthesis and calcination parameters

Hollow spheres made from titanium dioxide (TiO2) are interesting structures because of their high surface area and low density, combinedwith semiconducting properties of the TiO2. However, the synthesis is still challenging because of the high reactivity of the titania precursors. Here, we present a simple, reproducible, and scalable way to synthesize TiO2 hollow spheres in the micrometer/sub-micrometer size range comprising three steps: synthesis of polystyrene template particles, growth of TiO2 shells, and calcination to hollow spheres. We investigate the importance of adjusting the seed particle surface functionalization via the appropriate choice of comonomer during the dispersion polymerization. An aging step and a calcination process at low temperatures are mandatory to retain the particle integrity during the seed particle removal. We provide a detailed characterization of each step of this process including electron microscopy, small angle X-ray scattering, and simultaneous thermal analysis.


Introduction
Environmental pollution is a worldwide pressing issue, which needs to be addressed by society, politicians, and researchers. Whereas "chemistry" certainly contributes in various ways to environmental pollution, it also offers solutions toward a more sustainable future. The awareness of this fact led to the field of "green chemistry." It was introduced in 1998 by Paul Anastas and John Warner and is based on twelve principles to design chemical products and processes in an environmental friendly way [1][2][3]. It includes less hazardous chemical synthesis and solvents, design for energy efficiency, and catalysis. One par-ticular materials class that is regularly discussed in the context of green chemistry is titanium dioxide. Titanium dioxide (TiO 2 ) can be classified as a green chemical or material because of its photocatalytic activity [4,5], usage in solar cells [6][7][8] and batteries [9][10][11], low toxicity, and high chemical stability. TiO 2 exists in many different polymorphs, with rutile, brookite, and anatase being the most prominent ones. The main difference of the three polymorphs is their thermodynamic stability. Rutile is the most stable phase in bulk materials and at high temperatures [12,13]. However, anatase and brookite phases are preferentially formed in small structures in nature as well as during solution-based synthesis [13][14][15]. An amorphous TiO 2 phase is also known and typically used as the starting material for transformations into phase pure anatase particles at high temperatures > 100°C [13,16,17].
In addition to the microscopic structure, the mesoscopic shape of the TiO 2 material is important for photovoltaic, or photonic applications. Different shapes have been tested as electrodes for photovoltaic applications: thin films, nanoparticle assemblies, inverse opals, and nanotube arrays [18][19][20][21][22][23]. Nanotube arrays achieved photoconversion efficiencies up to 4.9% in solar cells [22] and can also be used for hydrogen storage applications [24]. For optical and photonic applications, typically inverse opal structures are used [12,[25][26][27]. Here, the high refractive index of the different polymorphs of TiO 2 is used in the context of structural coloration or efficient scattering.
The different shapes can be achieved via a wide range of synthesis routes [12,28]. The most common and easy one is the sol-gel method, where a precursor is first hydrolyzed in an acidic or basic environment, followed by polymerization into TiO 2 . Organic metal compounds or inorganic metal salts are used as precursors. The sol-gel synthesis method leads to a wide variety of structures, from nanoparticles in different sizes and shapes to rod-and tube-like structures. Further methods are hydrothermal or solvothermal synthesis, where the reaction takes place at temperatures above the boiling point of the solvent up to 240°C in an autoclave, and thus at high pressures [12,13,29]. Using this method, it is possible to generate phase pure nanoparticles or nanorods. Chemical or physical vapor deposition processes are further synthesis methods that lead to oriented nanowire arrays [12,28].
It is also possible to build TiO 2 structures in a templated approach. This leads to inverse opals or hollow spheres after removal of the template. To prepare inverse opals, usually, a template structure from assembled polymer particles is infiltrated either with a precursor mixture that undergoes a sol-gel reaction in the pores or with pre-synthesized TiO 2 nanoparticles [30]. A different approach was used by Lu et al. who first prepared polymer-TiO 2 core-shell particles that were assembled and calcined to get macroporous structures. They were able to prepare phase pure anatase particles at room temperature by using polystyrene particles with grafted poly(styrene sodium sulfonate) chains as template particles. The TiO 2 particles were synthesized by a sol-gel process in between the grafted polymer chains by slowly adding a precursor solution. The core-shell particles were assembled by drying the dispersion and calcined in argon to remain the three-dimensional structure [4]. This synthesis is located between an inverse opal and a hollow sphere synthesis. Hollow sphere objects have evolved over the past years as a particularly interesting shape, owing to the material structuring on multiple length scales: shell, particle diameter, and particle ensemble [31][32][33]. The particles have a low density but are large enough to be easily filtered and recycled after a catalysis process. Furthermore, the surface area is large and freely accessible from both sides which may be interesting for solar cells or battery devices.
A wide-spread and general approach toward hollow sphere structures is based on shell growth on top of polymeric seed particles. Three steps need to be controlled for this process: (1) template particle formation, (2) shell growth, and (3) template removal (see Fig. 1).
We briefly outline these steps: 1) The template particles are typically synthesized via emulsifier-free emulsion polymerization or dispersion polymerization. The mechanism of dispersion polymerization has been discussed by Barrett and Arshady and is well known [34,35]. Generally, size control in dispersion polymerization is achieved by the amount of monomer [36], solvent [35,37,38], and stabilizer selection [34,37,38], respectively. Cheng et al. [36] used an ethanol/water mixture as solvent and polyvinylpyrrolidone (PVP) as stabilizer. Furthermore, a co-monomer can be used to introduce a specific surface charge. 2) Shell growth: One major issue of the TiO 2 shell growthin contrast to a silica coatingis the high reactivity of the TiO 2 precursors. Barlier et al. examined the condensation reaction in detail [39]. The reaction happens in two steps: the hydrolysis of the titanium precursor and the condensation to the TiO 2 network (Scheme 1). Imhof was the first who coated polystyrene (PS) particles with a thin TiO 2 layer in a one-step sol-gel approach [40]. Up to now, several more methods have been published based on sol-gel synthesis: varying precursors, solvents, and template particles [36,[41][42][43]. Wang   3) There are two options to remove the template particles: dissolution and calcination. Toluene [40] or THF [41] are commonly used to dissolve non-crosslinked polymer cores via repeated centrifugation and redispersion. This requires a certain degree of porosity and pore sizes in the coated shell to allow for sufficient mass transport. Cheng et al. removed the core directly after the synthesis while heating the core-shell particles in an ethanol-ammonia mixture [36]. Calcination, however, is the more widespread strategy to remove the template [40][41][42][43][44]. An inherent side-effect of the thermal decomposition is the concomitant phase transition of the amorphous TiO2 shell into its anatase form. Therefore, the selection of the right temperature profile and calcination atmosphere is of main importance for the stability of the final hollow particles. It is common to simply heat the samples in air between 500 and 600°C, followed by an isothermal step of 2 to 3 h [40,42,43]. Lu et al. found that their structures collapsed when using this simple approach. That is why they first pyrolised their structures in an inert atmosphere at 500°C, followed by a calcination step in air to remove the carbon that stabilized the structure [4]. Schroden et al. solved the stability problem by applying a more complex heating ramp. Generally, they used very slow heating rates of 2 K/min and heated the sample first to 300°C for 2 h, followed by a second heating step to 400°C for 2 h. With this profile, they were able to get stable inverse opal structures without using an inert atmosphere during the thermal treatment [25].
We build upon these existing methods and provide an approach toward highly uniform TiO 2 hollow spheres with a scalable and simple synthesis route. We used dispersion polymerization to prepare monodisperse polystyrene particles in a size range of 700 nm to 1.3 μm. Our method extends the range of accessible particle sizes known from emulsifier-free emulsion polymerization considerably, where an upper limit of 600-800 nm is known [45]. Furthermore, few purification steps are needed in our protocol, which improves the efficiency and yield of the synthesis. Using a combined mass lossdifferential scanning calorimetryinfrared analysis, we also provide a better understanding of the calcination mechanism.
Synthesis of PS particles 3 g PVP (40,000 g/mol) were dissolved in 10 mL ethanol via ultrasonication. The PVP solution, 46 mL of ethanol, 10 mL ultrapure water, half of the styrene (see Table 1), and 300 mg AIBN were added to a 250 mL three-necked flask equipped with a reflux condenser and a gas inlet. The solution was degassed while stirring with an egg-shaped stirring bar with a speed of 150 rpm. After 30 min, the mixture was slowly heated to the reaction temperature of 70°C by turning the hot plate on. Fifty-six milliliters of ethanol, the second half of the styrene, and the MTC were premixed in an Erlenmeyer flask and added after 90 min. The reaction was carried out overnight stirring continuously with a Scheme 1 Condensation reaction of titanium butoxide in water speed of 150 rpm under a slight argon flow. The polymerization was stopped by exposing the dispersion to ambient air and filtrated using a 125 μm nylon filter sieve. The concentration of the particles was determined gravimetrically. For the calculation of the conversion of the particles, the concentration was divided by the theoretical concentration at 100% conversion.
Synthesis of TiO 2 shells The synthesis was performed at room temperature. 6.3 mL PS dispersion and 37 mL ethanol were added to an Erlenmeyer flask equipped with a septum. The dispersion was stirred at 350 rpm using a magnetic stirrer bar during the degassing and TBT addition steps. The dispersion was degassed for 10 min with argon. 0.8 mL TBT was mixed with 3.2 mL ethanol and added within 30 min using a syringe pump. After the addition, the dispersion was allowed to age for 24 h without stirring. This aging step is essential to obtain core-shell particles of sufficient mechanical robustness to allow for the final calcination procedure. Particles were washed three times with ethanol for purification.

Synthesis of hollow TiO 2 particles
The particles were freezedried in an 80:20 vol% ethanol-water mixture. The PS core was removed by calcination in air. A modified temperature profile of Schroden et al. [25] was used. The samples were heated to 300°C with a heating rate of 2 K/min, followed by an isothermal step of 2 h. The samples were then heated to 400°C with a heating rate of 2 K/min, followed by an isothermal step of 12 h. Finally, the samples were cooled down to room temperature for 5 h.
Characterization methods Scanning electron microscopy (SEM) and scanning transmission electron microscopy (STEM) were performed using a Zeiss Ultraplus instrument using acceleration voltages of 3 kV or 10 kV. InLens, Everhard-Thornley, and STEM detector were used. Coreshell particles were calcined directly on a silicon wafer or SiO 2 TEM grid (Plano GmbH).
The diameter of the PS template particles was evaluated using the MATLAB circle detection function (see S1). The search parameters were optimized manually.
Zeta potential was measured using Zetasizer Nano-ZS (Malvern Panalytical). Three measurements consisting of 10-100 runs were performed. The particles were diluted in ethanol without further purification. No additional substances were added to adjust the pH and background salt concentration.
Transmission electron microscopy (TEM) measurements were performed with a JEOL JEM-2200FS field emission energy filtering transmission electron microscope (FE-EFTEM) operated at an acceleration voltage of 200 kV. Zero-loss filtered micrographs (ΔE~0 eV) were recorded with a bottom-mounted CMOS camera system (OneView, Gatan) and processed with DM 3.3 image processing software (Gatan). Tilt series and tomography reconstructions were performed with SerialEM and IMOD software packages, supporting the entire tomography workflow, from data acquisition to image processing and modeling. The software was developed by David Mastronarde at the Boulder Laboratory for 3D Electron Microscopy (Boulder, Colorado, USA). Videos of the tilt-series of hollow TiO 2 particles were exported from ImageJ distribution Fiji [46]. Small-angle X-ray scattering (SAXS) measurements were performed on freeze-dried samples in 1 mm glass capillaries (Hilgenberg, code 4007610, Germany) at room temperature. The measurements were performed in a transmission geometry using a Double Ganesha AIR system (SAXSLAB). A rotating copper anode (MicroMax 007HF, Rigaku Corporation) is the X-ray source of this system. Data was recorded using a position-sensitive detector (PILATUS 300 K, Dectris). Different detector positions were used to cover scattering vectors q between 0.0024 and 0.2 Å −1 . The radially averaged data were normalized to the incident beam and sample thickness. Calculations were done using the software SASFIT (version 0.94.1, Kohlbrecher and Bressler) [47] or SasView (version 4.2) [48] or Scatter (version 2.5) [49].
X-ray powder diffraction patterns for the core-shell and hollow spheres were recorded in Bragg-Brentano-geometry on an Empyrean diffractometer (PANalytical B.V.; the Netherlands) using Cu-K α radiation (λ = 1.54187 Å).
Simultaneous thermal analysis (STA) measurements were performed on a STA 449 F3 Jupiter (Netzsch) equipped with a Bruker Alpha II IR spectrometer using the same temperature ramp that was used for calcination. A DSC/TG OctoS sample holder and PtRh20 crucibles with lids were used. An airflow of 50 mL/min was adjusted for the measurement. Differential scanning calorimetry (DSC) measurements show an increase in the baseline at the heating step from 400 to 700°C, which is caused by the baseline calibration. IR measurements were divided by a reference measurement that was taken before the sample measurement started. Due to fluctuations of the baseline over the measurement time, this led to transmission values above 100% for water bands (3750 cm −1 and 1500 cm −1 ) and CO 2 bands (2250 cm −1 ). Furthermore, a rubber band baseline correction was performed to cancel out an overall intensity shift that was caused by the increasing temperature of the measured gas.

Synthesis of polystyrene template particles
An overview on the explicit particle recipes is shown in Table 1. To control the particle size, the amount of styrene was increased from 6 to 22 mL. As can be seen in Fig. 2a, the particle diameter can be adjusted linearly with the amount of added styrene. The amount of initiator 2,2′-Azobis(2methylpropionitril) (AIBN) does not influence the final particle size. This can be inferred from particles A-E with 0.3 g of AIBN, and particles F-J with 0.15 g AIBN. Further, we find no influence of the initiator concentration on the conversion of the synthesis within this range. The overall conversion was determined to be 80 to 90% for all syntheses (see Table 1). Electrostatic stabilization is introduced by the addition of the comonomer 2-Methacryloxyethyltrimethylammoniumchloride (MTC). This introduces a positive charge to the particle surface. For particles A-J, we kept the molar ratio between monomer and comonomer constant with a ratio of 0.8 mol%. This ratio results in a zeta potential of about + 40 mV for all particles. A ratio between monomer and comonomer in the range of 0.8 mol% (particles A-J) up to 1.2 mol% (particles Y) leads to well-functionalized, stable colloids. This is demonstrated by the synthesis of particles X-Z with different amounts of MTC, while styrene and AIBN concentration were kept constant (Fig. 3). Particle X was fabricated without MTC, resulting in a zeta potential0 mV. Nevertheless, owing to the use of PVP as a steric stabilizer, the dispersion is still stable. Without MTC, the particles exhibit a very smooth surface. Increasing the amount of MTC to 170 μl lead to a rougher surface, while the particle shape remained spherical. Further increasing the amount of MTC to 300 μl lead to aggregated and deformed particles. The particle aggregation is accompanied by a reduction in the overall conversion. The particle diameter decreased by 200 nm from particles X to Y. A potential reason for this deviation from the expected particle diameter is the better solubility of the PS oligomers due to the copolymerization with MTC. This can reduce the tendency for newly formed oligomers to precipitate onto the existing nuclei. As a consequence, the particle growth is less compared to the comonomer free synthesis. Furthermore, newly formed, small nuclei may aggregate on larger particles, resulting in an increasing particle roughness. Overall, using dispersion polymerization, it is possible to prepare polymer particles with standard deviations that are less or equal 5% of the diameter and are, therefore, highly monodisperse (see SI Fig. 2). It provides access to a complementary size range with particle sizes around 1 μm. We want to stress the simplicity of these recipes, where all chemicals, except for AIBN were used without any additional purification.

Synthesis of TiO 2 shells
The PS particles were used as seed templates without purificationnot even centrifugation after the dispersion polymerization was employed. This procedure is similar to the scalable synthesis of PS@SiO 2 core-shell and SiO 2 hollow spheres [50], which provided access to gram-scale amounts of hollow silica spheres. An ethanolic solution (V = 4 mL) of the precursor titanium butoxide (TBT) was added with a concentration of 0.6 molL −1 to the ethanolic particle dispersion using a syringe pump within 30 min.
We first investigated the influence of the template particle surface functionalization on the TiO 2 immobilization and shell formation. Figure 3 demonstrates the necessity to adjust the cationic surface functionalization. Without the addition of MTC granular TiO 2 nuclei are immobilized on the polymer surface. For both cases of added MTC (particles Y and Z, respectively) an increasingly smooth shell was observed. The granular appearance of the TiO 2 shell is already apparent in the amorphous shell directly after the TiO 2 condensation. This can be inferred from the SEM images of the core-shell structures (Fig. 3, second column), where white speckles cover the previously smooth surface. The presence of MTC at the particle surface apparently influences the nucleation and growth mechanism, which we assign to the altered electrostatic environment. Removing the template core by calcination preserves this granularity, which is shown in TEM and TEM tomography images (Fig. 3 right panels). The spherical shape of the hollow sphere is also preserved, which is apparent from the TEM tilt series (see SI gif files). The highest amount of MTC resulted in the most compact and least granular shells. Nevertheless, the TiO 2 coated structures were clustered due to the already clustered particles in the PS seed dispersion. Consequently, a balanced adjustment of the particle surface functionality via MTC is crucial for the colloidal stability and successful coating step.

Calcination process
Calcination is the final step to obtain hollow TiO 2 particles (Fig. 3 right panel). We want to stress that the core-shell particles can only be transformed into hollow spheres successfully after aging the core-shell dispersion for 24 h prior to purification. This aging process apparently improves the formation of a pre-condensed TiO 2 network and proper covalent connectivity among the granular nuclei in the shell. The shell resilience to the thermal decomposition process is improved.  Furthermore, the calcination process itself is very important. We used an adapted temperature profile of Schroden et al. [25], where the template removal is achieved in a two-step process. The first calcination step is undertaken just at the onset of PS decomposition at a relatively low temperature (300°C). The complete degradation of the PS is then achieved by a second step at 400°C. To gain a deeper understanding of the calcination process, combined TGA, DSC, and IR measurements have been performed in air and nitrogen (see Fig. 4 a-d and Fig. S4).
The pure template particles (polystyrene) show three prominent steps. These are directly related to the applied temperature profile. The degradation starts at the end of the first heating ramp (2 K/min) (1). Already 80% of polystyrene decompose in the form of CO 2 during the isothermal conditions (300°C), which took 2 h. The PS decomposition is strongly accelerated during the second heat ramp (2 K/min) to 400°C (2). Within 300 mins another 13% of PS are decomposed to CO 2 , whereas the residues remain stable in air during the 5 h isothermal heating step at 400°C. The last 5% of material is fully decomposed during the last heating ramp up to 700°C (3). The IR spectra (Fig. 4c) only indicated CO 2 as the decomposition product. Single IR spectra of the three steps can be found in the supporting information. Each of the decomposition steps was accompanied by an exothermal event in the DSC signal. This indicates the oxidative decomposition of the polystyrene backbone [51,52].
The calcination of the core-shell particles shows a couple of interesting deviations from the pure PS decomposition. The degradation starts at the same time/temperature as the pure polystyrene particles (1). Since the IR spectra show exclusively CO 2 bands (see Fig. 4d), it is reasonable to assume that only the polymer decomposed at this point. The PS decomposition, however, is significantly slower compared to the neat seed particles. This could be caused by the limited mass transport to the PS core owing to the presence of the TiO 2 shell. Only 40% mass has been lost by the end of the first isothermal annealing step at 300°C. The DSC signal reveals a second event occurring during the isothermal part at 300°C (2). Xie et al. saw a similar exothermic peak in their differential thermal analysis measurements on TiO 2 particles from different phases at 280°C [53]. They found that this peak is due to the loss of water absorbed at the TiO 2 particle surface. Therefore, the peak could be linked to a condensation process in the TiO 2 shell and the release of the enclosed water molecules. However, we cannot unambiguously determine the onset of water loss in the IR spectra because the amount of released water is very low and cannot be separated from the background water bands at 3750 cm −1 and 1500 cm −1 . The second heating ramp lead to a third prominent step at 400°C (3). In this case, the degradation product is also CO 2 . In contrast to the pure PS particles, the last heating step to 700°C results in a very small mass loss of only 2%. Since the corresponding IR data show no trace of CO 2 , all PS must already be decomposed at the end of the second isothermal step, and a further condensation reaction of the TiO 2 is assumed.
Calculations show that 34% material should be left over, which agrees well with the experimental data of 33%. We spheres (e) and XRD measurements of the PS@TiO 2 and hollow TiO 2 spheres (f). For all measurements, particles Y have been used conclude that the TiO 2 shell aids the decomposition reaction of the polymer even though the mass transfer is reduced. In our case, it is not possible to see the transformation of the amorphous to the anatase phase in the DSC curves. Xi et al. and Li et al. saw this event happening at temperatures above 400°C [53,54]. Therefore, the effect is likely to be superimposed by the exothermic degradation peak of PS.
These results show the importance of the right temperature profile for the calcination process. The overall particle shrinkage can be estimated by the mass loss of the PS particle at the first heating step. The mass loss translates into a volume shrinkage of the template particle. Assuming an isotropic shrinkage of the template particle, the diameter of the shrunk particle can be recalculated. The shrunk particle size then corresponds to the final hollow-core diameter. Starting with an initial particle with a diameter of 621 nm and considering a mass loss of 40%, this would result in a shrunk particle diameter of 520 nm. This is in reasonable agreement with the experimental data, where the hollow core has a size of5 00 nm. Calcinations in inert atmosphere, where the template particle is intact much longer, show less shrinkage of the hollow spheres (see SI Fig. 4). This observation strengthens the interpretation that the second peak in the DSC measurements is connected to the formation of the final and stable TiO 2 structure, and therefore to the shell condensation process. Calcination profiles, which omit the mild calcination at 300°C or which feature too fast heating ramps, sacrifice the shell integrity and result in collapsed structures (see SI Fig. 5).
The structures of the polystyrene, core-shell, and hollow particles Y (see Fig. 4e) were further characterized by SAXS and SEM/TEM. The measured SAXS data exhibit only weak features, which prevent a thorough fitting analysis. Furthermore, PS seed particles are too large to identify the radius in the experimentally reachable q range. Thus, based on the TEM result, we calculated the form factor of homogeneous spheres with a diameter of 621 nm and compared it to our experimental databoth agree well. The model has a Gaussian size distribution with a standard derivation of 10%, which is slightly higher compared to the SEM images due to instrumental smearing effects. The measurement of the PS@TiO 2 core-shell particles is shown in Fig. 4e (green symbols). The scattering of PS@SiO 2 can be described by the model of a homogeneous core-homogeneous shell [50]. The sharp and well defined boundary between core and (monodisperse) shell leads to significant oscillations in the scattering data. In contrast to PS@SiO 2 the shell of PS@TiO 2 is less dense and highly particulate (see Fig. 3).
As consequence of such a fractal-like shell morphology, the corresponding form factor scattering miss such pronounced oscillations. The main features are a q −4 scaling at intermediate q (ca. 0.008-0.05 Å −1 ) and a q −2 power law for q > 0.057 Å −1 . A very weak oscillation around 0.017 Å −1 hints toward the expected dimension of the shell thickness of about 30-40 nm before calcination. The q −2 power law for q > 0.057 Å −1 is indicative of strong scatters with a mainly 2Dstructure. This is in contrast to scattering patterns of similar (silica-based) core-shell systems [55,56]. These systems exhibit a pronounced form factor and no q −2 scaling law at high q. The deviation of our system from these findings can be understood by the scattering contrast situation (PS ≈ 9.51•10 −6 Å −2 , TiO 2 ≈ 31.8•10 −6 Å −2 , no solvent) and the lower bending curvature due to the large template particle diameter. At high q, the q −2 term seems to simply add up to the scattering of a pure PS sphere (q −4 ) underlining the fact that the shell is particulate. For comparison, the scattering of homogeneous core-homogeneous shell spheres is given (d = 621 nm, 10% Gaussian distribution and d shell = 35 nm, 20% Gaussian distribution; green dotted line PS@TiO 2 ). During the calcination process, the amorphous TiO 2 shells undergo a transformation into anatase phase (Fig. 4f). During this process the overall size of the particle shrinks. The experimental SAXS scattering pattern of these hollow spheres exhibits a minimum at q ≈ 0.026 Å −1 . The corresponding correlation length of about 24 nm agrees well with the thickness of the TiO 2 shell obtained from TEM analysis. The q −4 behavior at intermediate and high q reflects the contrast situation for hollow spheres. This is corroborated by the calculation of homogenous hollow spheres (blue dotted line; d inner = 621 nm, 10% Gaussian with zero contrast, d shell = 24 nm, 25% Gaussian with contrast 31.8•10 −6 Å −2 ). The q −2 power law at low q is attributed to the particulate shell, since rough surfaces can be considered as fractals.
As stated above, the TiO 2 shell undergoes a phase transition during the calcination procedure. This can be seen in Xray diffraction measurements in Fig. 4f. The core-shell particles (green line) do not show any features except for an amorphous halo. This pattern is caused by the TiO 2 and the amorphous polymer core. After calcination, distinct peaks are visible (blue line). The inset shows the normalized data that agree very well with the expected diffraction pattern of anatase.

Size series of TiO 2 hollow particles
We now want to highlight the robustness of our synthetic protocol. Therefore, TiO 2 shells have been synthesized on PS particles A-E. Setting the MTC/Styrene ratio to 0.8mol% during the seed synthesis and the amount of TBT to 5.5•10 −4 to 6.5•10 −4 mol/m 2 particle surface during the coating step, it is possible to fabricate TiO 2 coreshell particles without secondary nucleation or particle clustering (Fig. 5). When using 800 μL of TBT, shell thicknesses between 45 and 60 nm could be achieved. Stable and smooth TiO 2 shells could be immobilized on the PS seed particles. Also, the template particles themselves remain colloidally stable and are coated as individual objects. One may expect that the shell thickness decreases with increasing template particle diameter when employing the same amount of TBT precursor. This, however, would only be true, if the same particle concentration was used. Owing to our scalable process, we directly use the as-synthesized polymer dispersion, where both, particle diameter and particle concentration vary with the initial monomer concentration. Both parameters cancel each other out leading to comparable shell thicknesses for each batch.
Calcination of the particles in air leads to an isotropic shrinkage up to 20% compared to the core-shell size (see STEM, Fig. 5). For particles > 700 nm we find no systematic variation of the degree of shrinkage to the particle size. As a consequence, the TiO 2 hollow spheres B, C, and D all have the same particle diameter of~900 nm; particle E is slightly larger with 1025 nm. Yet, despite the considerable shrinkage, the particles retain their spherical shape and shrink in an isotropic fashion. This is even more remarkable as the ratio t/D between shell thickness (t) and particle diameter (D) is very small. t/D ranges from 4% for the smallest hollow spheres to 2% for the largest one. With decreasing t/R ratio the mechanical stability of the TiO 2 hollow spheres decreases, which is also known for their silica shell counterparts [57]. We, consequently, observed an increased portion of fractured or buckled hollow spheres from particles C to E.

Conclusions
Our contribution addresses several important aspects in the field of templated hollow sphere synthesis. We firstly introduced dispersion polymerization as a suitable alternative to established emulsion polymerization techniques for synthesizing template particles in the 500 to 1300 nm size regime. The template particles can be functionalized with comonomers to control the particle surface charge. These template beads can be used without additional purification steps for the synthesis of homogeneous TiO 2 shells. This strategy allows for a scalable synthesis of well-coated TiO 2 core-shell particles. However, it is important to control the amount of comonomer used during the dispersion polymerization. This affects the stability of the colloidal particles and the granularity of the TiO 2 shell. We thoroughly investigated the calcination procedure yielding the hollow particles. The usage of an isothermal step at the onset of polystyrene decomposition is crucial for retaining the hollow particle shape. Our presented method could be applied to a range of template particles with different sizes. Overall, this facile, reproducible and scalable method, creates well-defined TiO 2 core-shell or hollow particles that can be used in applications, where the properties of TiO 2 are beneficial.
RE3550/2-1). Additional support was provided by ERC Starting Grant VISIRday under Grant No. 714968. This work benefited from the use of the SasView application, originally developed under NSF Award DMR-0520547. SasView also contains code developed with funding from EU Horizon 2020 programme under the SINE2020 project Grant No. 654000.

Compliance with ethical standards
Conflict of interest The authors declare that they have no conflict of interest.
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