Interaction between honeybee mandibles and propolis

• Leonie Saccardi,
• Franz Brümmer,
• Jonas Schiebl,
• Oliver Schwarz,
• Alexander Kovalev and
• Stanislav Gorb

Beilstein J. Nanotechnol. 2022, 13, 958–974, doi:10.3762/bjnano.13.84

• , and E and ∆γ are the effective elastic modulus and the work of adhesion, respectively. The work of adhesion ∆γ is the energy per unit of area needed to separate two bodies in contact. It was chosen as a measure of adhesion because it is independent of the contact area. To characterize viscoelastic

Design of a biomimetic, small-scale artificial leaf surface for the study of environmental interactions

• Miriam Anna Huth,
• Axel Huth,
• Lukas Schreiber and
• Kerstin Koch

Beilstein J. Nanotechnol. 2022, 13, 944–957, doi:10.3762/bjnano.13.83

• radiant energy might cause changes in the wax morphology [55][56][57]. To take this into account, wheat plants were also cultivated outdoors under natural growth conditions. No culture-specific differences in the wax morphology were observed. As with the greenhouse plants, the leaves of the plants

Comparing the performance of single and multifrequency Kelvin probe force microscopy techniques in air and water

• Jason I. Kilpatrick,
• Emrullah Kargin and
• Brian J. Rodriguez

Beilstein J. Nanotechnol. 2022, 13, 922–943, doi:10.3762/bjnano.13.82

• of corrosion, sensing, solar cells, energy storage devices, and bioelectric interfaces [3][4][5][6][7][8]. Since its first application in 1991 [2], there have been significant developments in the field of KPFM [6][9][10] with significant advances in both temporal [11][12][13][14] and spatial

• (Det.) schemes.a Funding This work was supported by a research grant from Science Foundation Ireland (SFI) and the Sustainable Energy Authority of Ireland (SEAI) under the SFI Career Development Award Grant Number SFI/17/CDA/4637.

Bioselectivity of silk protein-based materials and their bio-inspired applications

• Hendrik Bargel,
• Vanessa T. Trossmann,
• Christoph Sommer and
• Thomas Scheibel

Beilstein J. Nanotechnol. 2022, 13, 902–921, doi:10.3762/bjnano.13.81

• composition, surface structuring on the micro-/nanoscale, and the introduction of low-surface-energy compounds [62]. Various studies demonstrated that the adhesion of Staphylococcus aureus, Pseudomonas aeruginosa, and Escherichia coli (E. coli) bacteria was significantly reduced on superhydrophobic coatings

• , antimicrobial, and antibiofouling properties, including the formation of an oriented monolayer of bacterial flagellin proteins on hydrophobic surfaces [73], a reduction of oral bacteria adhesion on dental brackets by more than 95% due to a reduced surface free energy [74], and the fabrication of antifouling

Efficiency of electron cooling in cold-electron bolometers with traps

• Dmitrii A. Pimanov,
• Vladimir A. Frost,
• Anton V. Blagodatkin,
• Anna V. Gordeeva,
• Andrey L. Pankratov and
• Leonid S. Kuzmin

Beilstein J. Nanotechnol. 2022, 13, 896–901, doi:10.3762/bjnano.13.80

• just a refrigerator. One of the possible solutions of the problem is the on-chip electron cooling, which creates a drain of thermal energy from small detecting elements with the help of tunneling electrons. Cold-electron bolometers (CEBs) [1][2][3] have high potential to improve the electron cooling

Solar-light-driven LaFe_xNi_1−xO₃ perovskite oxides for photocatalytic Fenton-like reaction to degrade organic pollutants

• Chao-Wei Huang,
• Shu-Yu Hsu,
• Jun-Han Lin,
• Yun Jhou,
• Wei-Yu Chen,
• Kun-Yi Andrew Lin,
• Yu-Tang Lin and
• Van-Huy Nguyen

Beilstein J. Nanotechnol. 2022, 13, 882–895, doi:10.3762/bjnano.13.79

• sol–gel solution could help the separation of LaFexNi1−xO3 crystals, leading to less particle aggregation. Moreover, the elemental analysis of the samples was also carried out using energy dispersive spectroscopic (EDS). The Fe contents of the samples with different Fe/Ni atomic ratios were identified

• result from Ni's apparent activation energy being higher than Fe's for producing oxidizing species [53]. Although Fe was attempted to be doped into LaNiO3, LaFe0.1Ni0.9O3 and LaFe0.3Ni0.7O3 still exhibited low photocatalytic capability. Until Fe doped amount was up to 50% for replacing Ni, the

• availability of light energy was reduced, resulting in a reduction of the photocatalytic degradation capability [30]. Accordingly, the degradation performance was calculated by the 1st order kinetics, as shown in Figure 11b. It could be known that when the catalyst dosage was 30 mg (200 ppm), 50 mg (333 ppm

Self-assembly of C₆₀ on a ZnTPP/Fe(001)–p(1 × 1)O substrate: observation of a quasi-freestanding C₆₀ monolayer

• Guglielmo Albani,
• Michele Capra,
• Alessandro Lodesani,
• Alberto Calloni,
• Gianlorenzo Bussetti,
• Marco Finazzi,
• Franco Ciccacci,
• Alberto Brambilla,
• Lamberto Duò and
• Andrea Picone

Beilstein J. Nanotechnol. 2022, 13, 857–864, doi:10.3762/bjnano.13.76

• measurements reveal a negligible charge transfer at the C60/ZnTPP interface. Finally, the difference between the energy of the lowest unoccupied molecular orbital (LUMO) and that of the highest occupied molecular orbital (HOMO) measured on C60 is about 3.75 eV, a value remarkably higher than those found in

• measurements and for modeling by ab initio calculations. Periodic and compact films are generally obtained when the molecules possess enough surface mobility, that is, when the diffusion energy (Ed) is low compared to the thermal energy kBT, where T is the substrate temperature and kB is the Boltzmann constant

• aspect is the electronic coupling between the molecules and the metallic substrate. In this case, the key parameter is the adsorption energy (Ea), which is defined as the energy required to desorb a molecule from the surface. A high Ea is characteristic of molecules chemisorbed on the substrate, where a

Micro-structures, nanomechanical properties and flight performance of three beetles with different folding ratios

• Jiyu Sun,
• Pengpeng Li,
• Yongwei Yan,
• Fa Song,
• Nuo Xu and
• Zhijun Zhang

Beilstein J. Nanotechnol. 2022, 13, 845–856, doi:10.3762/bjnano.13.75

• to their small size, light weight, flexibility and concealment, MAVs have completed a series of tasks that are difficult or impossible for larger aircraft [2]. Due to unsteady aerodynamic effects, flapping wings may be a more energy-efficient flight mode than modes achieved with traditional fixed and

• wings were flapping, lift and drag increased at the same time. At this time, the beetle could change its flight speed and obtain more lift or thrust to improve the flight efficiency and reduce the energy loss. When the wind speed reached a larger value, the lift decreased and the drag increased, and the

• means that, although the two beetles were flapping their hind wings, there was no forward movement. In nature, beetles could change lift, drag, and the moment of body rotation by changing the flight speed and the angle of attack to fly stably in different incoming flows and reduce energy consumption

Ultrafast signatures of magnetic inhomogeneity in Pd_1−xFe_x (x ≤ 0.08) epitaxial thin films

• Andrey V. Petrov,
• Sergey I. Nikitin,
• Lenar R. Tagirov,
• Amir I. Gumarov,
• Igor V. Yanilkin and
• Roman V. Yusupov

Beilstein J. Nanotechnol. 2022, 13, 836–844, doi:10.3762/bjnano.13.74

• supercomputing, big-data processing, artificial intelligence, and neuromorphic computing [1][2][3][4][5][6][7]. The highlight features of superconducting data processing techniques, for example, RSFQ logic [1][2][3][4][5][6][7][8][9], are the high speed and unprecedental energy efficiency [2][3][10][11][12][13

• ]. Superconducting spintronics is a branch of superconducting electronics, the key components of which are thin-film magnetic Josephson junctions (MJJs), which include layers of superconductors (S), ferromagnets (F) and insulators (I) [1][2][3][14][15]. The use of MJJs considerably reduces the energy consumption

• light with a wavelength of 400 nm (second harmonic) and the properties were probed at 800 nm. The pump and probe beams were focused at the sample into the spots with diameters of 0.5 mm and 0.1 mm, respectively. Energy densities of the pump and the probe were 1 mJ/cm2 and 50 μJ/cm2, and the incidence

Temperature and chemical effects on the interfacial energy between a Ga–In–Sn eutectic liquid alloy and nanoscopic asperities

• Yujin Han,
• Pierre-Marie Thebault,
• Corentin Audes,
• Xuelin Wang,
• Haiwoong Park,
• Jian-Zhong Jiang and
• Arnaud Caron

Beilstein J. Nanotechnol. 2022, 13, 817–827, doi:10.3762/bjnano.13.72

• Yujin Han Pierre-Marie Thebault Corentin Audes Xuelin Wang Haiwoong Park Jian-Zhong Jiang Arnaud Caron KOREATECH – Korea University of Technology and Education, School of Energy, Material and Chemical Engineering, Cheonan, 31253 Republic of Korea UTT – University of Technology Troyes, 1004 Troyes

• Ga–In–Sn liquid alloy is smaller than its free surface energy by a factor of two (for SiOx) to eight (for PtSi). Any significant oxide growth upon heating studied was not detected here, and the measured interfacial energies strongly depend on the chemistry of the asperities. We also observe a weak

• increase of the interfacial energy as a function of the temperature, which can be explained by the reactivity between SiOx and Ga and the occurrence of chemical segregation at the liquid alloy surface. Keywords: atomic force microscopy (AFM); interfacial energy; liquid alloy; Introduction Recently, room

Optimizing PMMA solutions to suppress contamination in the transfer of CVD graphene for batch production

• Chun-Da Liao,
• Andrea Capasso,
• Tiago Queirós,
• Telma Domingues,
• Fatima Cerqueira,
• Nicoleta Nicoara,
• Jérôme Borme,
• Paulo Freitas and
• Pedro Alpuim

Beilstein J. Nanotechnol. 2022, 13, 796–806, doi:10.3762/bjnano.13.70

• 250Xi) using a non-monochromatic Mg Kα source with an analysis spot smaller than 2 mm2. The detection system contains a double-focusing 180° spherical sector analyzer with a mean radius of 150 mm and an energy range of 0 to 5 keV. The pressure in the analysis chamber was ca. 5 × 10−10 Torr, and the

• analyzer had a pass energy of 20 eV. Atomic force microscopy The surface topographies of graphene were investigated by a Bruker Dimension Icon atomic force microscope (AFM), using PPP-NCH (NanosensorsTM) cantilevers with a tip radius smaller than 20 nm, a force constant of 42 N/m, and 250 kHz resonance

Gelatin nanoparticles with tunable mechanical properties: effect of crosslinking time and loading

• Agnes-Valencia Weiss,
• Daniel Schorr,
• Julia K. Metz,
• Metin Yildirim,
• Saeed Ahmad Khan and
• Marc Schneider

Beilstein J. Nanotechnol. 2022, 13, 778–787, doi:10.3762/bjnano.13.68

• stiffer particles is explained by a lower energy needed to engulf them as demonstrated by coarse grain simulations [6]. The simulations showed a faster receptor binding for more deformable particles due to the larger surface area upon deformation. However, when it comes to membrane wrapping and

• ]. Contrarily, nanoparticles composed of a lipid bilayer with cores of different crosslinking extent showed higher uptake of softer particles in MCF-7 cells, which was thought to be due to a melting process of particles with the cell membrane that consumed less energy than endocytosis [8]. Regarding the in vivo

Recent advances in nanoarchitectures of monocrystalline coordination polymers through confined assembly

• Lingling Xia,
• Qinyue Wang and
• Ming Hu

Beilstein J. Nanotechnol. 2022, 13, 763–777, doi:10.3762/bjnano.13.67

• discuss the properties of the coordination polymer single crystals as well as their performance in energy, environmental, and biomedical applications. Keywords: applications; assembly; coordination polymer; metal-organic frameworks; nanoarchitectonics; Introduction Coordination polymers are hybrid

• obtained materials will be evaluated regarding advanced applications in energy, environment, and biology. Review Confined crystallization of monocrystalline coordination polymers Crystallization of single crystals basically involves nucleation and growth stages. During both stages, the assembly of atomic

• , which are important for increase the density of active sites for catalysis and energy storage. However, they are too narrow for the transport of small molecules, hindering fast mass transport. Forming additional porous textures in monocrystalline coordination polymers can perfectly solve this problem by

Hierarchical Bi₂WO₆/TiO₂-nanotube composites derived from natural cellulose for visible-light photocatalytic treatment of pollutants

• Zehao Lin,
• Zhan Yang and
• Jianguo Huang

Beilstein J. Nanotechnol. 2022, 13, 745–762, doi:10.3762/bjnano.13.66

• method for the reduction of Cr(VI) into Cr(III) due to its high efficiency, energy-saving, and nonpolluting advantages [4]. Among the various photocatalysts, traditional titania (TiO2) photocatalysts have received great attention due to their high reactivity, excellent stability, and nontoxicity [5][6][7

• (FTIR) spectra of the samples were recorded on the Nicolet iS10 spectrometer. The X-ray photoelectron spectroscopy (XPS) experiment was performed on the Thermo Scientific ESCALAB 250Xi spectrometer equipped with an Al Kα X-ray source at an energy value of 1486.6 eV. The XPS spectra were calibrated by

• ). Meanwhile, selected area electron diffraction (SAED) patterns and energy dispersive X-ray spectrometry (EDX) mapping images were obtained via HR-TEM. The instrument models used in FE-SEM, TEM, and HR-TEM were Hitachi SU-8010, Hitachi HT-7700, and JEM-2100F, and the working voltages were 5.0, 100, and 200 kV

A nonenzymatic reduced graphene oxide-based nanosensor for parathion

• Sarani Sen,
• Anurag Roy,
• Ambarish Sanyal and
• Parukuttyamma Sujatha Devi

Beilstein J. Nanotechnol. 2022, 13, 730–744, doi:10.3762/bjnano.13.65

• detection limit and long-term stability at room temperature. Graphene oxide (GO), consisting of a monolayer of sp2-hybridized carbon atom network, has already been used in electrocatalysis, nanoelectronics, bionanosensors, and sustainable energy storage systems due to its larger active surface area

Modeling a multiple-chain emeraldine gas sensor for NH₃ and NO₂ detection

• Hana Sustkova and
• Jan Voves

Beilstein J. Nanotechnol. 2022, 13, 721–729, doi:10.3762/bjnano.13.64

• antistatically equipped clothing, capacitors, solar cells, energy storage devices, and polymer light-emitting diodes [1]. One electrical property of PANI are the π-conjugated bonds in the benzene rings. The key to this is the NH group, which can be doped. These nitrogen units are the key element of the chain

• gradient approximated (GGA) Perdew–Burke–Ernzerhof (PBE) exchange–correlation functional was used. Guo et al. [5] investigated the graphene/polyaniline adsorption energy of NH3, CO, NO, and H2 using DFT and molecular dynamics computations. From this, graphene/PANI is highly sensitive to NH3 in comparison

• function G. The spectral density matrix has the form [16]: for Green’s function and broadening function and In this equation, δ+ is an infinitesimal positive number, Σ is the self-energy of the left or right electrode, S stands for the overlap matrix and H is the Hamiltonian matrix. These are defined for

Direct measurement of surface photovoltage by AC bias Kelvin probe force microscopy

• Masato Miyazaki,
• Yasuhiro Sugawara and
• Yan Jun Li

Beilstein J. Nanotechnol. 2022, 13, 712–720, doi:10.3762/bjnano.13.63

• photocatalytic semiconductors. The local SPV is generally measured consecutively by Kelvin probe force microscopy (KPFM) in darkness and under illumination, in which thermal drift degrades spatial and energy resolutions. In this study, we propose the method of AC bias Kelvin probe force microscopy (AC-KPFM

• darkness and illumination degrades the spatial and energy resolutions, reducing the accuracy of SPV measurements on the nanometer scale [23]. To overcome the above problem, direct SPV measurements by means of laser power modulation and a lock-in technique have been proposed. Streicher et al. used two

• energy resolutions and the image acquisition time of AC-KPFM in the AM mode are comparable to those of the classical KPFM in the AM mode, because both methods detect the electrostatic force, and the response time of the bias feedback τ limits the image acquisition time. To reach sufficient sensitivity

Design and selection of peptides to block the SARS-CoV-2 receptor binding domain by molecular docking

• Kendra Ramirez-Acosta,
• Ivan A. Rosales-Fuerte,
• J. Eduardo Perez-Sanchez,
• Alfredo Nuñez-Rivera,
• Josue Juarez and
• Ruben D. Cadena-Nava

Beilstein J. Nanotechnol. 2022, 13, 699–711, doi:10.3762/bjnano.13.62

• analysis of the selected peptides was carried out by the Tepitool software using specific alleles from the human major histocompatibility complex class I (MHC I) [36]. Peptides with low binding to MHC I molecules were considered (50 nM ≤ IC50 ≤ 500 nM) according to Calis and Adhikari [37][38] Free energy

• of RBD–ligand by PRODIGY The protein binding energy prediction (PRODIGY) web server is an effective predictive model based on intermolecular contacts in protein–protein complexes based on their 3D structure [39]. This tool predicts the binding free energy between protein complexes with great accuracy

• , which makes it an excellent complement to docking approaches. Thus, PRODIGY web server was used to predict the binding energy of the APD–RBD and theoretical peptide–RBD complexes [39][40][41]. The input files were acquired from ADT files in the PDB format. Contact area analysis PyMOL was used to compute

Nanoarchitectonics of the cathode to improve the reversibility of Li–O₂ batteries

• Hien Thi Thu Pham,
• Jonghyeok Yun,
• So Yeun Kim,
• Sang A Han,
• Jung Ho Kim,
• Jong-Won Lee and
• Min-Sik Park

Beilstein J. Nanotechnol. 2022, 13, 689–698, doi:10.3762/bjnano.13.61

• , Giheung-gu, Yongin 17104, Republic of Korea Department of Energy Science and Engineering, Daegu Gyeongbuk Institute of Science and Technology (DGIST), 333 Techno Jungang-daero, Hyeonpung-eup, Dalseong-gun, Daegu 42988, Republic of Korea Institute for Superconducting and Electronic Materials, Australian

• Institute for Innovative Materials, University of Wollongong, Squires Way, North Wollongong, NSW 2500, Australia 10.3762/bjnano.13.61 Abstract The strategic design of the cathode is a critical feature for high-performance and long-lasting reversibility of an energy storage system. In particular, the round

• (LOBs) have received great attention as a future energy storage solution since they offer a tremendously high energy density compared to commercial lithium-ion batteries (LIBs) [1][2]. An aprotic LOB is composed of a porous air cathode and a metallic Li anode, which are separated by a porous separator

Experimental and theoretical study of field-dependent spin splitting at ferromagnetic insulator–superconductor interfaces

• Peter Machon,
• Michael J. Wolf,
• Detlef Beckmann and
• Wolfgang Belzig

Beilstein J. Nanotechnol. 2022, 13, 682–688, doi:10.3762/bjnano.13.60

• Figure 1b. The superconductor is represented by the node that has a “source” (of coherence) term (marked with Δ) and “leakage” (of coherence) term that is characterized by the Thouless energy of the superconductor (εTh) and its normal-state conductance G. Additional pseudo terminals model the spin mixing

• the superconductor as Here, σ = ± denotes the spin index, and are Pauli matrices in Nambu space. We obtain the following equation that determines the Green’s function of the superconductor: Here, εσ = ε + σμBH is the energy including the applied Zeeman field, εTh = ℏD/d2 is the Thouless energy, Gq

• is the Boltzmann constant, and Tc is the critical temperature of the bulk superconductor. Using the conductivity the density of states at the Fermi energy of the free electron gas, and for the number of channels per area, we can simplify this to where vF is the Fermi velocity. With the definition

Tunable high-quality-factor absorption in a graphene monolayer based on quasi-bound states in the continuum

• Jun Wu,
• Yasong Sun,
• Feng Wu,
• Biyuan Wu and
• Xiaohu Wu

Beilstein J. Nanotechnol. 2022, 13, 675–681, doi:10.3762/bjnano.13.59

• Jun Wu Yasong Sun Feng Wu Biyuan Wu Xiaohu Wu College of Electrical Engineering, Anhui Polytechnic University, Wuhu, 241000, China Basic Research Center, School of Power and Energy, Northwestern Polytechnical University, Xi’an 710064, Shaanxi, China Center of Computational Physics and Energy

• energy conversion, while narrow-band absorbers [9][10][11][12] have great potential in sensing and monochromatic light detecting. An example is the application of narrow-band absorbers in refractive index sensing [13]. When the absorbers are surrounded by gas or liquid, the resonance wavelength will

• interband contributions and is described by: Here, σintra and σinter are the intraband and interband conductivity, respectively. In the mid-infrared wavelength region considered in this work, the Fermi level is greater than half of the photon energy, that is, ℏω < 2Ef. Thus, the intraband contribution will

Reliable fabrication of transparent conducting films by cascade centrifugation and Langmuir–Blodgett deposition of electrochemically exfoliated graphene

• Teodora Vićentić,
• Stevan Andrić,
• Vladimir Rajić and
• Marko Spasenović

Beilstein J. Nanotechnol. 2022, 13, 666–674, doi:10.3762/bjnano.13.58

• then break up the bulk 2D materials into mono- and few-layer nanosheets [15][16]. The choice of solvent for LPE is made based on surface energy considerations, compatible solvents include NMP, dimethylformamide (DMF), N,N-dimethylacetamide (DMA), γ-butyrolactone (GBL), 1,3-dimethyl-2-imidazolidinone

• break van der Waals forces, leading to exfoliation [20]. Electrochemical exfoliation offers an alternative to LPE that is both scalable and widely available. It has been used to make graphene for various applications, including energy storage [21][22]. Both ultrasound-assisted LPE and electrochemical

A superconducting adiabatic neuron in a quantum regime

• Marina V. Bastrakova,
• Dmitrii S. Pashin,
• Dmitriy A. Rybin,
• Andrey E. Schegolev,
• Nikolay V. Klenov,
• Igor I. Soloviev,
• Anastasiya A. Gorchavkina and
• Arkady M. Satanin

Beilstein J. Nanotechnol. 2022, 13, 653–665, doi:10.3762/bjnano.13.57

• with extremely small energy dissipation [42][43][44][45]. We especially note the demonstrated possibility of the adiabatic evolution of the state for a neuron in a multilayer perceptron with Josephson junctions without resistive shunting [46]. It is precisely such a heterostructure without resistive

• of the Schrödinger equation, we investigate dynamic processes in a quantum neuron. We pay special attention to the analysis of the activation function of the cell for two main modes (with one and two minima of the potential energy of the system). We use Wigner functions for a visual interpretation of

• allowed values for the total energy of the system. The characteristic gaps in the spectrum of the effective Hamiltonian are significantly larger than the thermal smearing in the studied case. Also, the level broadening due to the influence of the environment is relatively small. The described features

Antibacterial activity of a berberine nanoformulation

• Hue Thi Nguyen,
• Tuyet Nhung Pham,
• Anh-Tuan Le,
• Nguyen Thanh Thuy,
• Tran Quang Huy and
• Thuy Thi Thu Nguyen

Beilstein J. Nanotechnol. 2022, 13, 641–652, doi:10.3762/bjnano.13.56

• (EPN) and antisolvent precipitation (ASP)). Although top-down technologies have a high yield, they are energy-consuming and the obtained crystal size is inhomogeneous [26][27]. The ASP technique can modify crystal formation and particle size distributions [5]. Sahibzada et al. [26] reported that BBR

• ], glycerol, a safe substance in pharmaceutical applications, was used to dissolve BBR in this study. Sonication provided mechanical energy to improve the dispersion of the nanosized BBR crystals. Homogeneous BBR NPs were produced with a size of 156 nm under a certain sonication conditions. The solubility of

Sodium doping in brookite TiO₂ enhances its photocatalytic activity

• Boxiang Zhuang,
• Honglong Shi,
• Honglei Zhang and
• Zeqian Zhang

Beilstein J. Nanotechnol. 2022, 13, 599–609, doi:10.3762/bjnano.13.52

• ; Introduction Titanium dioxide (TiO2) has been extensively studied for many potential applications in the environmental and energy fields, such as treatment of polluted water [1][2], air purification [3][4], and water splitting [5][6]. In recent years, the interest in the brookite phase of TiO2 has been

• ). (1) Brookite—platy grains. Energy-dispersive X-ray spectroscopy (EDX) results of platy grains (Figure 4b) indicate that Na can be well identified besides Ti and O (note that the characteristic peak of C comes from the carbon conducting resin, Al from the sample holder, and Si from the silicon wafer

• migration rate, atoms at higher potential energy sites will migrate to the stable site and finally develop into a perfect crystallite. For example, the atomic arrangement within the brookite crystallite in Figure 6c becomes more ordered than that calcinated at a lower temperature, and the size of the