Journal Pre-proofs Nucleation and Growth in Solution Synthesis of Nanostructures – from Fundamentals to Advanced Applications Ke-Jun Wu, Edmund C.M. Tse, Congxiao Shang, Zhengxiao Guo PII: DOI: Reference: S0079-6425(21)00045-1 https://doi.org/10.1016/j.pmatsci.2021.100821 JPMS 100821 To appear in: Progress in Materials Science Received Date: Revised Date: Accepted Date: 1 August 2020 11 March 2021 16 May 2021 Please cite this article as: Wu, K-J., Tse, E.C.M., Shang, C., Guo, Z., Nucleation and Growth in Solution Synthesis of Nanostructures – from Fundamentals to Advanced Applications, Progress in Materials Science (2021), doi: https://doi.org/10.1016/j.pmatsci.2021.100821 This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. © 2021 Elsevier Ltd. All rights reserved. Nucleation and Growth in Solution Synthesis of Nanostructures – from Fundamentals to Advanced Applications Ke-Jun Wu1,5, Edmund C. M. Tse2,3, Congxiao Shang2,4, Zhengxiao Guo2,3,4 * 1School of Chemical and Process Engineering, University of Leeds, Leeds LS2 9JT, UK 2HKU-CAS Joint Laboratory on New Materials / Department of Chemistry, University of Hong Kong, Hong Kong SAR, China 3Department of Mechanical Engineering, University of Hong Kong, Hong Kong SAR, China 4The University of Hong Kong Zhejiang Institute of Research and Innovation, Qingshan Lake Scitech City, Hangzhou 311305, China 5College of Chemical and Biological Engineering, Zhejiang University, Hangzhou 310027, China (Corresponding: zxguo@hku.hk) Abstract Nucleation and growth are two important and entwined processes in materials synthesis and engineering. While understanding of the fundamental mechanisms of the processes remain challenging, there is a growing demand for much improved control over and modification of nanostructures with precise geometrical and chemical features, well-tailored surface properties and functional attributes. To this end, we first examine the key concepts of the classical and non-classical theories and then emphasise mechanistic studies of nucleation and growth. Particularly, the state-of-theart imaging, signal and/or data acquisition techniques are discussed, including in-situ liquid phase transmission electron microscopy, in-situ synchrotron X-ray diffraction, microfluidic platforms and machine learning. Both quantitative and qualitative experimental results with high temporal and spatial resolutions provide further insights into these nanofabrication processes for representative systems, such as Au nanoparticles and CaCO3, and subsequently guide the rational design and production of materials with desirable properties. Based on current knowledge, strategies of leveraging external fields to manipulate the nucleation and growth processes are presented. Several case studies in important technological scenarios are discussed to 1 inspire further attempts for precisely engineered solutions. Finally, further understanding of the processes are highlighted along with potential applications and future perspectives of controlling solution-synthesized nanostructures. Keywords: nucleation; crystal growth; solution synthesis; co-precipitation; in-situ characterisations; nanostructure. 1. Introduction The formation of solids from a liquid solution (subsequently termed as, a solution), such as crystallisation, precipitation and co-precipitation, is of considerable significance in nature and in industry [1,2]. Particularly in the chemical industry, 70% of all solid materials are manufactured via the crystallization and precipitation from solutions [3]. The overall process is generally described as two sequential events, i.e. nucleation and growth. Nucleation is the first step in which monomers, e.g. atoms, ions, or molecules, form a new thermodynamic configuration or structure at the atomic or molecular level, followed by growth during which monomers are incorporated onto the surface of the nuclei, which may also coalesce or aggregate, leading to an increase in size. Generally speaking, the thermodynamic driving force for both nucleation and growth in solution is the overall reduction in (Gibbs) free energy. Their rates or kinetics are usually determined by competing factors: the chemical potential gradient between a monomer in solution and in the new phase, the transport “resistance” of the monomers in the solution, and the “concentration” of the monomers. In many cases, nucleation and growth occur simultaneously and thus are dynamically competitive. The nucleation and growth processes are crucial for controlling precise structural characteristics and properties of the final solid material and thus pervade all aspects of the industry that relies upon a specific set of functionalities of these materials. For example, in the pharmaceutical industry, the bioavailability of tablets (e.g. digoxin tablets) are strongly dependent on the shape, crystallinity, and hygroscopicity [4]; in the chemical industry, the selectivity and activity of catalysts (e.g. Pd/Al2O3, Ag/Pd) are affected by the crystallinity, size, morphology and surface [5,6]; in healthcare, the properties of nanoscale biosensors (e.g. fluorescent quantum dots and plasmonic gold nanoparticles) are susceptible to size, shape, crystalline structure, and associated 2 defects, dopants, surface morphology and charge, and density of capping ligands [7]. Numerous successful attempts have been reported for the synthesis of these materials by a solution-phase route, such as hydro- and solvo- thermal [8], a seed-mediated [9], a polyol-assisted [10], a template [11], and an electrochemical process [12], but in order to gain better control over the synthesis leading to materials with optimal properties for specific applications, it is truly important to understand clearly from the atomic or molecular level the pathways that lead to the various macroscopic states as well as the mechanisms that govern pathway selection, especially in complex systems, e.g. in the presence of external “force” fields. There are several influential reviews on the topic of nucleation and growth, particularly in the solidification of melt [13–15]. Here, we focus our efforts on the formation of solids from liquid solutions, covering both classical and non-classical theories as well as recent experimental findings with novel techniques and new strategies/case studies of nucleation and growth (Figure 1). This review aims to guide researchers in the design of functional products based on the understanding and control of nucleation and growth pathways that lead to various macroscale properties. In the first part of the review (Sections 1. Introduction, 2. Classical Nucleation Theory (CNT), 3. NonClassical Nucleation Theories, 4. Classical and Non-Classical Crystal ), the thermodynamic and kinetic aspects of the classical and non-classical nucleation and growth theories were discussed briefly for inclusiveness, details of which may be found from other articles of the volume, such as [references from this volume]. The key notions, characteristics and limitations of these theories were summarised to facilitate subsequent analysis. Currently, although it is often possible to correlate experimental findings with a nucleation and growth theory, no single theory can explain all observed phenomena and experimental results. This is mainly due to the complexity of the processes at the atomistic scale and the lack of reliable experimental evidence. Hence, the second part of this review (Section 5. Experimental Approaches for Nucleation and Growth Pathway Evaluation) is devoted to the key in-situ techniques adopted in recent years for detailed assessment of the processes. Although only model materials (e.g. metal nanoparticles, CaCO3) were selected here, the development of novel in-situ techniques and their combinations can provide considerable insight of the fundamental processes and further corroboration of the theories and potentially more comprehensive theories. In addition, advanced data acquisition and processing 3 methods (e.g. microfluidic platforms and machine learning) make the study of the processes more efficient and reliable. In the third part of the review (Section 6. Active Control of Nucleation and Growth), the mechanism of external fields, such as mechanical force fields, electric fields and magnetic fields on nucleation and growth were discussed. Applying an external field to a conventional process enables more degrees of influence in controlling nucleation and growth in solution. Finally, in the fourth part of the review (Section 7. Practical Significance of Nucleation and Growth in ), five types of case studies of enhancing material and device performance via nucleation and growth were discussed. The strategies adopted therein are directly associated with classical and non-classical theories of nucleation and growth, offering valuable guidance to other practical cases. Figure 1. Applications of advanced materials underpinned by nucleation and growth (inserts have adopted parts of figures from [16–21] ) 4 2. Classical Nucleation Theory (CNT) Classical Nucleation Theory (CNT) is most commonly applied to describe the formation of a new thermodynamic phase or a new structure from a continuum point of view. Depending on whether foreign bodies are present, nucleation can be classified as either homogeneous or heterogeneous (Figure 2). Primary nucleation may occur spontaneously within a chemically homogeneous system, which is referred to as homogeneous nucleation. It may be induced in the presence of some foreign bodies, which acts as the active centre for first monomeric units (e.g. atoms, ions, or molecules) to attach; this process is referred to as heterogeneous nucleation. A special case in point is when solute clusters of the same species exist in the system, in which case it is named as secondary nucleation [22]. Liquid solutions, to some extent, are an intrinsically uniform medium, which in principle ensures that the nucleation within is homogeneous. However, due to the presence of multiple heterogeneities at the local (molecular) level, such as solvent, impurities, different types of monomers and the container wall, heterogeneous nucleation often occurs within a solution, which is also more complicated than the traditional solidification of metals, conventional alloys [23] and even high entropy alloys [24]. Figure 2. Schematic of homogeneous and heterogeneous crystallization processes. 5 2.1 Development of CNT The pioneering work of CNT was performed during the 1920s and 1930s by Volmer and Weber [25], Becker and Döring [26] and Frenkel [27]. CNT was initially proposed to describe the condensation of a vapour to a liquid, and later it has been extended to other liquid−solid equilibrium systems such as crystallization from saturated solutions. In the CNT framework, the homogeneous nucleation rate (J) for liquid-solid systems is expressed in the form of the Arrhenius reaction rate equation as: ∆𝐺 ∗ 𝐽 = 𝐾exp ― 𝑘B𝑇 ( ) 1 where K is the pre-exponential factor, kB is the Boltzmann’s constant, ∆G* is the change in Gibbs free energy required for critical cluster formation, and T is the nucleation temperature. For a cluster containing n moles of monomer, the change in Gibbs free energy, ∆G, is based on the chemical potential difference between liquid-solid phases, and the energy cost of interface formation which can be characterized by interfacial tension σ and surface area A: 4𝜋𝑟3 ∆𝐺 = ―𝑛∆𝜇 + 𝜎𝐴 = ― ∆𝜇 + 4𝜋𝑟2𝜎 3𝑣 2 where v is the molar volume of the cluster, ∆μ is the difference in chemical potentials, can be expressed as ∆𝜇 = 𝑘B𝑇ln𝑆 3 Here, the supersaturation S is: 𝑆= 𝑎 𝑎∗ 4 where a and a* are the activity of the solute in supersaturated and saturated solutions, respectively. For minerals and solid electrolytes: A𝛼B𝛽 = 𝛼A𝑎 + + 𝛽B𝑏 ― 5 Equation Error! Reference source not found. becomes: 6 ∆𝜇 = 𝑣𝑘B𝑇ln𝑆 = 𝑣𝑘B𝑇ln 𝑎± 𝑎 ∗± = 𝑣𝑘B𝑇ln 𝑎𝛼A𝑎𝛽B ( ) 1𝑣 𝐾𝑠𝑝 6 where 𝑣 = 𝛼 + 𝛽, is the total number of ions in each formula unit, 𝑎 ± is the mean activity of the ionic species, 𝑎A and 𝑎B are the activities of cation and anion, respectively, 𝐾𝑠𝑝 is the solubility product. When S is greater than 1, ∆G in equation Error! Reference source not found. exhibits a maximum at r∗ (see Figure 3a), the size of the critical cluster that is in unstable equilibrium with the supersaturated solution. Under conditions of constant temperature and pressure, a system will tend to evolve in the direction of decreasing Gibbs free energy. As shown in Figure 3a, nucleation is actually controlled by the competition between the negative term, ―4π𝑟3∆𝜇 3𝑣, i.e. the volume energy and the positive term, 4π𝑟2𝜎, i.e. the surface energy. It can be seen that the behaviour (grow or re-dissolve) of a newly created solid nucleus in a supersaturated solution is determined by their size. If the particle size is smaller than r*, it will re-dissolve to reduce its Gibbs free energy. Likewise, if a particle is larger than r*, it will continue to grow. Figure 3. Free energy diagram for nucleation. (a) Dependence of nucleation barrier ∆G* on the radius r for heterogeneous nucleation. (b) Nucleation barriers ∆G* for both heterogeneous nucleation (red curve) and homogeneous nucleation (blue curve). For a spherical critical cluster, the critical size r∗ and critical free energy ∆G* can be determined mathematically by differentiating ∆G with respect to r and setting it to zero: 7 𝑑∆𝐺 = 𝑑𝑟 𝑟∗ = ∗ 4𝜋𝑟3 𝑑 ― ∆𝜇 + 4𝜋𝑟2𝜎 3𝑣 ( 𝑑𝑟 4𝜋𝑟3 𝑑 ― ∙ 𝑘B𝑇ln𝑆 + 4𝜋𝑟2𝜎 3𝑣 ) ( = ) 𝑑𝑟 =0 2𝜎𝑣 𝑘B𝑇ln𝑆 ∆𝐺 = 16𝜋𝜎3𝑣2 3(𝑘𝐵𝑇ln𝑆)2 7 8 9 Virtually, it is almost impossible to remove all foreign bodies (e.g. dust particles, bubbles, and the wall of the reactor) from a nucleation system, especially in an industrial environment. Therefore, in practical scenarios, most nucleation occurs heterogeneously. For heterogeneous nucleation in the CNT framework, the energy required to overcome for nucleation to occur is significantly decreased (the red curve in Figure 3b) via a reduction in the surface energy, i.e. 4π𝑟2𝜎. The energy barrier for heterogeneous nucleation is equal to the product of the nucleation barrier for homogeneous nucleation and a correction [22,25]: ∗ ∗ ∆𝐺ℎ𝑒 = 𝜙∆𝐺ℎ𝑜 10 where the correction coefficient Φ is a function of the contact angle [22,25]: 𝜙= (2 + cos𝜃)(1 ― cos𝜃)2 4 11 As shown in Figure 4, when θ = 180˚, cosθ = -1 and Φ = 1, there is non-affinity between the nucleated solid and the foreign solid surface, the energy required to overcome for ∗ ∗ nucleation to occur is the same as that of homogeneous nucleation, ∆𝐺ℎ𝑒 ; by = ∆𝐺ℎ𝑜 controlling the wetting conditions (90˚ < θ < 180˚ or θ < 90˚), the nucleation free energy ∗ ∗ barrier ∆𝐺ℎ𝑒 for heterogeneous nucleation can be tuned within the range of 0 to ∆𝐺ℎ𝑜 , as well as the nucleation rate. A typical example to avoid unwanted nucleation is the anti-icing technology using hydrophobic surface (90˚ < θ < 180˚) to increase the heterogeneous nucleation energy barrier, thus reducing the ice nucleation rate [28]. 8 Figure 4. Three-phase contact angle for heterogeneous nucleation on a flat surface: (a) contact angle is smaller than 90˚, (b) contact angle is between 90˚ and 180˚ and (c) contact angle is equal to 180˚ [29]. Therefore, under the CNT framework, the critical controlling parameters for homogeneous and heterogeneous nucleation are temperature, interface tension, and supersaturation which are highly inter-dependent. CNT is later expanded by LaMer and Dinegar [30] to describe the nucleation and growth of colloidal particles and nanoparticles. The key concept of the LaMer model is that nanoparticle formation undergoes two steps, namely the “instantaneous nucleation” (also known as “burst nucleation”) followed by “diffusion-controlled growth”. However, agglomeration is not considered in the LaMer model. More importantly, the LaMer model is the only explanation, even until recently, on how narrowly dispersed colloidal particles/nanoparticles can be formed via self-assembly. More details about the LaMer model can be found in the review recently published by Whitehead and coworkers [31]. 2.2 Main Shortcomings of CNT CNT represents an evident trade-off between accuracy and simplicity by adopting assumptions to simplify the models [32]. The fundamental assumption of CNT is the so-called capillarity approximation, which considers the following [33]: 1. Clusters are spherical with uniform interior properties same as those of the nucleated bulk phase; 2. There is a clear interface between the cluster and the solution; 9 3. The interfacial tension of the cluster is identical to the planar interfacial tension, regardless of the size and shape of the cluster; In addition, CNT also assumes that: 4. The change in cluster size is due to the adsorption/emission of single monomer at one time, thus excluding coalescence and break-off of pre-existing clusters (Becker and Döring model) [26]; and 5. The nucleation rate and stationary distribution of clusters are time-independent. The main shortcomings of CNT have been reviewed extensively in the literature [32] and summarised as follows: 1. For certain two-component spherical clusters, e.g. ethanol-water cluster, the surface of the cluster can show a considerably different composition from the bulk [9]. Schmitt and co-workers [34] experimentally measured the binary nucleation rate of ethanol and water mixtures. They concluded that CNT is unable to predict the data accurately, especially at low ethanol concentrations. 2. In reality, the assumption of steady-state nucleation is not always valid [35]. CNT fails to describe the nucleation rate when the driving force for nucleation is rapidly changed where the cluster size distribution cannot relax fast enough to attain the steady-state form [36]. For instance, molecular dynamics simulations carried out by Huitema and co-workers [35] have demonstrated that the nucleation rate is equal to the steady-state nucleation rate at a cooling rate of 15 K/ns while the nucleation rate dropped by 97% at a cooling rate of 500 K/ns. 3. CNT fails for small clusters containing 20-50 molecules: 1) the properties of small clusters can differ significantly from those of the bulk phase [37], 2) the cluster shape can differ from the generally accepted spherical shape [38], and 3) small clusters with sharply curved surface do not exhibit identical interfacial tension to the planar counterpart [37]. 4. CNT, as initially developed for vapour-liquid systems, considers that density is the only order parameter that differs between the two phases, thus fails to provide the information about pathways leading to crystallization from solution. For instance, lysozyme nucleation in solution in which old and new phases differ by two order parameters, i.e. density and structure [39]. 10 3. Non-Classical Nucleation Theories Non-Classical Nucleation Theories (NCNTs) were proposed to describe complex behaviours and phenomena that do not follow CNT, such as intermediate stages observed experimentally in solution crystallisation. NCNTs are not substitutes for, but complements to, classical nucleation theories. However, a comprehensive NCNT applicable in all types of systems has yet to be developed [40]. Although this is an essential and challenging research area, only limited reports are devoted to improving the NCNTs. In CNT, nucleation of solid undergoes a single-step process in which the clusters attained the critical size become thermodynamically stable and continue to grow spontaneously (Figure 5a), while in non-classical nucleation theories, more steps were introduced to describe the intermediate statuses, as observed in experiments [40–42] and molecular dynamics (MD) simulations [43,44]. In general, depending on whether the formed intermediates are considered to be thermodynamically metastable or stable, non-classical nucleation process can be described via two major mechanisms: a two-step nucleation mechanism and a pre-nucleation clusters concept (Figure 5b and c). It was generally considered that the dense liquid-like phase in the two-step nucleation mechanism is thermodynamically metastable, while the pre-nucleation clusters in the pre-nucleation clusters concept are thermodynamically stable but do not show an interface boundary [45]. 11 Figure 5. Mechanisms for crystal nucleation: (a) Classical nucleation theory, (b) Two-step nucleation mechanism, and (c) Pre-nucleation clusters concept. [46] 3.1 Two-Step Nucleation Mechanism The two-step nucleation mechanism was initially proposed by Wolde and Frenkel [47] based on numerical simulations for protein crystal nucleation. It is suggested that the first step toward a critical cluster is the formation of a liquid-like phase, which shows lower nucleation barrier ∆G than the classic nucleus. Wolde and Frenkel [47] propose a strategy to control the nucleation rate of protein without affecting growth rate by adjusting the composition of the system (e.g. addition of non-ionic polymer) and thereby changing the range of interaction, such that a metastable liquid-liquid critical point changes accordingly. Guided by this, strategies for particle size and morphology control are proposed by the manipulation of local ligand environments and solvent environment [48,49]. 12 Vekilov and Galkin [50] later provide more experimental evidence for liquid-liquid phase separation in lysozyme protein crystallization process. They observe the shift of phase boundary using static light scattering and significantly change the nucleation rate by adding glycerol and polyethylene glycol into the system, just as suggested by Wolde and Frenkel [47]. Davey and co-workers [51] have expanded the two-step nucleation mechanism and applied it to cooling crystallisation of small molecule, i.e. methyl(E)-2-[2-(6trifluoromethylpyridine-2-yloxymethyl)-phenyl]-3-methoxyacrylate. The formation of two phases, i.e. a solute-rich dark phase and another solute-lean light phase, was clearly observed. It was further confirmed by gas chromatography compositional analysis that nucleation occurred in both phases, but the predominant domains are generally formed in the dark phase. The presence of liquid-like precursors has also been demonstrated experimentally [52,53] and computationally [54] for the nucleation of inorganic minerals, mainly CaCO3. The formation of crystalline carbonate phases from liquid-like precursors was monitored by in-situ wide-angle scattering (WAXS) and liquid-like precursors were characterised by transmission electron microscopy (TEM) as shown in Figure 6a. Based on the experimental phenomena, Wallace and co-workers [54] predict the formation of a dense liquid phase via liquid-liquid separation in which the nucleation of CaCO3 occurs. The cluster dynamics obtained from MD simulation are consistent with TEM observations (Figure 6b). 13 Figure 6. (a) TEM image of liquid-like precursors formed by CaCO3 [53] and (b) Molecular dynamics simulations for the evolution of dense liquid clusters [54]. In summary, the two-step nucleation mechanism contains two key notations: 1. Two energy barriers need to be overcome: in the first step, dense liquid-like clusters nucleate, which are metastable with respect to the final crystals; in the second, crystals nucleate mainly within the dense liquid phase via structural transition; 2. There is a phase boundary between the dense liquid phase and the bulk liquid phase. 3.2 Pre-Nucleation Clusters Concept The Pre-Nucleation Clusters (PNCs) concept was first proposed by Cölfen and coworkers [55], although similar phenomena had been observed before for biomineralization and formation of organic nanoparticles [56,57]. The pre-nucleation clusters concept is developed based on CaCO3 crystallization by monitoring Ca2+ concentrations at different stages of crystallization in the solution while the supersaturation slowly evolves with time (Figure 7a). The concentration of free Ca2+ ions increased linearly in the pre-nucleation stage (from t = 0 to the point with a blue 14 arrow in Figure 7a), but was lower than the dosed amount of Ca2+ (the grey dash curve in Figure 7a), indicating portions of free Ca2+ disappear due to binding with CO32- in a 1:1 ratio (Figure 7b) [55]. Cölfen and co-workers [55] subsequently confirm that the pre-nucleation clusters have to be considered with a “solute” character, i.e. there is no interface between the pre-nucleation cluster and the bulk solution. By using analytical ultracentrifugation (AUC), they further state that the pre-nucleation clusters are thermodynamically stable as otherwise those clusters could not be detected through AUC. Figure 7. CaCO3 crystallization experiment: (a) Presence of free calcium ions measured by calcium ion-selective electrode at different pH values. The blue arrows indicate the start of nucleation of calcium carbonate, and (b) Averaged amount of bound calcium and carbonate at pH = 9.00 [45]. Sommerdijk and co-workers [58] first “saw” the presence of pre-nucleation clusters claimed by Cölfen and co-workers using high-resolution cryo-TEM. Pre-nucleation clusters with a diameter ranging from 0.6-1.1 nm are observed (Figure 8a and b), and a small amount of larger particles (< 4 nm) are also detected (Figure 8c). It has been claimed that the pre-nucleation clusters exist at different stages of CaCO3 crystallisation, even after nucleation. 15 Figure 8. (a) High-resolution cryo-TEM image of a fresh 9 mM Ca(HCO3)2 solution after image processing. Prenucleation clusters are observed. An arbitrary number of clusters are highlighted by black circles. Scale bar, 20 nm. (b) Nonfiltered images representing the zone delimited by the red square in (a). In the high-magnification image, all particles present are highlighted by black circles. Particle sizes below the detection limit of 0.45 nm (3 times the pixel size) are considered noise. Scale bar, 5 nm. (c) Particle diameter distribution of the pre-nucleation clusters observed in the cryo-TEM images, and (d) Radial integration of the diffraction patterns of vitrified aqueous solutions of (1) amorphous calcium carbonate (green), (2) 9 mM Ca(HCO3)2 (red), (3) water (blue), and (4) 10 mM CaCl2 (black). Vertical (black) lines are drawn to indicate shifts of the diffraction rings of different samples with respect to that of a vitrified film of pure water [58]. Following the experimental work, Raiteri and Gale [59] reviewed the computer simulation work published in 2003-2010 about amorphous calcium carbonate and pointed out that the force fields employed in those papers failed in terms of an accurate description of the aqueous calcium carbonate systems. Based on the force field developed in house, Raiteri and co-workers [60] manage to corroborate most experimental findings, e.g. pre-nucleation clusters are thermodynamically stable, in their simulations. Gale and co-workers [61] then provide more structural information about the pre-nucleation clusters using computational simulations combined with experimental data analysis, and practically point out that the pre-nucleation clusters are ionic polymers which consist of chains of cations and anions holding together by ionic interactions. Experimental and theoretical evidence also seems to suggest the “non-classical” PNCs pathway for the formation of other inorganic [62–65] and organic crystals [66– 16 68]. A critical review from Gebauer and Wolf [69] has recently been published covering most experimental and theoretical progress in terms of pre-nucleation clusters concept until 2019. In summary, the pre-nucleation clusters concept contains five key notations which make it different from the two-step nucleation mechanism proposed by Wolde and Frenkel [70]: 1. PNCs are considered as thermodynamically stable clusters with “solute” character, and therefore no phase boundary exists between the clusters and the bulk solution; 2. PNCs are mainly composed of solid-forming monomers (e.g. atoms, molecules, and ions), while they may contain other chemical species; 3. PNCs are molecular precursors which participate in the process of phase separation; 4. PNCs are highly dynamic entities and change configuration on time scales typical for molecular rearrangements in solution (i.e. within hundreds of picoseconds); 5. PNCs may have encoded structural motifs resembling, or relating to, one of the corresponding crystalline polymorphs. 4. Classical and Non-Classical Crystal Growth Particle growth, along with particle nucleation, determine the properties and characteristics of final products obtained in the system. In addition, the conditions and rate of crystal growth have a significant impact on product purity and crystal structure [71]. Under the classical crystal growth framework, crystal size enlargement can also be attributed to layer-by-layer addition of monomers on an existing crystal surface, and the thermodynamic driving force, e.g. supersaturation S, determines the growth mechanism. In reality, however, this classical model captures only part of the picture. Emerging fields, including nanoscience and biomineralization, have provided numerous pieces of evidence that contradict the classical theory. Under the nonclassical crystal growth framework, crystal size enlargement can also be attributed to the assembly of particles by both oriented and non-oriented attachment or aggregation (Figure 9) [72–74]. The two mechanisms are differently affected by the thermodynamic 17 parameters of the process, i.e. temperature, pressure, and supersaturation, as well as other variables such as additives in the system. Figure 9. In classical models of crystal growth, crystals are produced by monomer-by-monomer addition of ions, atoms or molecules (grey curve). In contrast, non-classical crystal growth occurs by the addition of higher-order species ranging from multi-ion complexes to fully formed nanocrystals [75]. 4.1 Classical Crystal Growth by Monomers The mechanism of classical crystal growth follows two consecutive steps, namely, a diffusional step followed by a surface reaction step; the latter is also known as the particle integration step [76]. The fundamental, thermodynamic, driving force for particle growth can be represented as the difference in chemical potential between the standing and the equilibrium states: ∆𝜇 = 𝑘B𝑇ln𝑆 = 𝑘B𝑇ln 𝑎 𝑎 ≅𝑘B𝑇 ∗ ( 𝑎 𝑎∗ ) ― 1 = 𝑘B𝑇(𝑆 ― 1) 12 Several theories have been proposed to describe crystal growth [71], including twodimensional growth theories [77], Burton-Cabrera-Frank (BCF) Model [78], and diffusion layer model [79] which is mathematically more straightforward than the other two. The diffusion layer model considers that solute needs to diffuse through the boundary layer first and then the particle integration step can occur. To determine the particle growth rate, it is easier to clarify first the dimension of concern. In general, the particle growth rate (i.e. the linear growth rate with a unit of length per unit time) is a function of supersaturation. The higher the supersaturation, the higher the growth rate [80]: 18 𝐺 = 𝑘𝑔(𝑆 ― 1)𝑔 13 where kg is the growth rate constant which is a function of the solubility and temperature, S is the supersaturation, and the growth order, g, signifies the mechanism of crystal growth. At low supersaturation, g is equal to2, resulting in the parabolic growth law. Particle integration onto a surface is the control step for growth that results in polyhedral crystals with smooth faces [78]. When supersaturation is increased, the value of g increases exponentially with supersaturation [77]. Further increasing the supersaturation, the surface becomes rough and unstable while the value of g becomes 1. Particle integration onto the surface is no longer the control step due to the extensive nucleation sites available in the solution, and thus the growth of particle then follows the diffusion-controlled mechanism. As can be seen from the expression for the driving force in terms of the difference in chemical potential (Equation Error! Reference source not found.), which is related to the differences in temperature and activity, the two transporting processes, i.e. heat and mass transfer, are coupled in crystal growth. The degree of contribution from the respective transport process is determined by the degree of condensation of the environmental phase. Additionally, nucleation or formation of crystals (Equations Error! Reference source not found.-Error! Reference source not found.) is also driven by supersaturation and affected by temperature and activity. Therefore, controlling the supersaturation level as well as heat and mass transfer processes over time could assist the control of nucleation and growth, thereby providing insight into how the properties and characteristics of the final products could be optimally tuned. 4.2 Growth by Particle Attachment and Aggregation As discussed above, at low supersaturation, the generation of a critical nucleus is a rare event. The growth process is actually integration controlled. Thus, one observes a simple growth by monomers which interact through Brownian motion and it follows well the classical growth theory. However, as supersaturation increases, more complex behaviours between monomers and particles are observed. The particle growth is attributed to not only the addition of monomers in the solution but also the 19 collision and coalescence with other particles. A review from De Yoreo and co-workers [75] has demonstrated general concepts about crystallization by particle attachment (CPA). Critical features of classical growth theory and CPA can be understood by considering the interplay of free-energy landscapes and reaction dynamics, as shown in Figure 10. Figure 10A represents classical growth, in which a monomer-by-monomer growth pathway is observed. Figure 10B-E represent particle-based pathways, discussing the attachment of various precursor particles, e.g. oligomers, droplets, amorphous particles, or fully developed nanocrystals. Figure 10. Crystallization by a wide variety of pathways. The possible pathways by which monomers form a stable bulk crystal, and the physical mechanisms that give rise to them, can have thermodynamic (A to C) and kinetic (D and E) origins. (A) Classical monomer-by-monomer addition, (B) aggregation of metastable particles, such as liquid, amorphous, or poorly crystalline particles, or oriented (and nearly oriented) attachment of metastable nanocrystals, (C) crystallization via the formation of a metastable bulk phase, such as a liquid or solid polymorph, (D) kinetically dominated aggregation of clusters or oligomers, and (E) aggregation of unstable particles whose internal structures are not those of equilibrium phases [75]. The current available non-classical growth concepts focus on describing the way that clusters are observed in both mono- and polycrystalline systems. However, the corresponding rate equations and models describing CPA are still unavailable. Therefore, a molecular and quantitative understanding of particle-attachment pathways is still lacking. 5. Experimental Approaches for Nucleation and Growth Pathway Evaluation 20 One of the main reasons for the lacking of comprehensive knowledge about the complex nucleation and growth processes can be attributed to the absence of robust and reliable experimental techniques and consequently experimental data, particularly for particle size and concentration in a solution. Thus, one of the major research foci in the field is focused around the development of in-situ experimental techniques with high temporal and spatial resolutions and how to extract atomic- and micro- level information to reveal the key steps of particle formation in solution. Also, new experimental platforms, such as microfluidic devices, were developed to precisely control and manipulate the nucleation and growth processes and enable a feasible and fast approach to access the aforementioned in-situ experimental techniques. Following experimental data acquisition, experimental data could be processed manually, or more efficiently, via advanced techniques from data science, such as machine learning (ML). 5.1 Electron Microscopy Techniques Liquid electron microscopy [81,82] has opened an array of unique opportunities for examining physical, chemical, and biological phenomena that take place in liquid phases directly, as it provides a combination of temporal and spatial resolutions of electron microscopy with the ability to monitor a wet environment. Figure 11 shows the spatial resolution as a function of the liquid thickness for TEM, STEM, and SEM at 200 keV beam energy. In terms of spatial resolution, when the liquid cell thickness is greater than 50 nm, STEM generally provides a higher resolution, but TEM could provide better resolution when that value is less than 50 nm. In terms of temporal resolution, TEM typically acquires over 10 frames per second, while the dwell time needed to form each pixel in a STEM or SEM image is typically in the range of 1 - 60 μs. 21 Figure 11. Resolution of different forms of electron microscopy in liquid. The resolution was calculated for typical TEM and STEM instrument parameters at 200 keV beam energy, and for imaging of Au nanoparticles at the bottom of a layer of water for TEM, and at the top of the layer for STEM. The resolution obtained in SEM just below the liquid-enclosing membrane does not depend on the liquid thickness (see text). Experimental data points are shown for: a. Au nanoparticles in TEM [83], b. STEM with a 30-nm-thick SiN window [84], c. SEM with a 30-nm-thick SiN window [85], and d. PbS nanoparticles in water imaged with STEM [86]. The error bars represent experimental errors [82]. The majority of current experimental setups were inspired by the pioneering work by Williamson and co-workers [87]. They used micro-fabricated hermetically-sealed liquid cells in a unique TEM sample holder to image the heterogeneous formation of Cu clusters on a surface during electrochemical plating with a resolution of 5 nm. Following that, Zheng et al. employed the same TEM capability in a self-contained liquid cell and showed single colloidal Pt nanocrystal growth trajectories with an improved resolution in the sub-nanometre range [88], and Evans et al. reported reproducible control over growth mechanisms that dictate the final morphology of nanostructures while observing growth in real-time with sub-nanometre resolution through the implementation of a continuous flow in situ liquid stage [86]. Different from above studies that employed liquid cells equipped with a viewing window fabricated from Si3N4 or SiO2, YuK and co-workers later introduced a new type of liquid cell which was based on entrapment of a liquid film between layers of graphene. Due to the 22 reduced thickness and improved thermal conduction of graphene material, this type of cell facilitates atomic-level resolution imaging and allows visualization of critical steps such as site-selective coalescence, structural reshaping after coalescence, and surface faceting [89]. It also leads to a cascade of successive studies using atomicresolution TEM or STEM [90–92]. A number of investigations using EM-based techniques have corroborated the theories of classical and non-classical nucleation and growth: Au nanoparticles formation via classical nucleation behaviour was observed [87][93] (Figure 12a-j); the nucleation of metal halides [40] and Ag nanoparticles [94] follows the non-classical nucleation pathway, i.e. pre-nucleation concept and two-step mechanism (Figure 12k-n); growth via particle attachment and aggregation, i.e. non-classical growth was detected for iron oxyhydroxide [95] (Figure 12o-v). All the findings demonstrate that EM-based techniques offer a powerful tool for understanding the processes. Figure 12. TEM images for materials formation in solution. a-j: During the nucleation of Au nanoparticles, many of the nascent nuclei fail to reach the point of spontaneous growth and instead fluctuate in size until they disappear [93]; k-n: A multistep pathway for silver nucleation in solution was observed, a dense liquid phase (in the red freeform) appears before the formation of silver nanoclusters (in the yellow square) [94]; o-v: typical dynamics of the attachment process of iron oxyhydroxide. The surfaces of particles I and II made transient contact at many points and orientations (points 1-1, 1-2, 2-3, and 3-4) before finally attaching and growing together (points 3-5) [95]. 5.2 X-Ray Techniques In-situ X-ray techniques have been developed in recent years for probing the formation of particles in solution and providing more quantitative information about nucleation and growth kinetics [96]. While electron microscopy techniques are capable of studying real-time formation of particles, the information is confined to a limited volume 23 of liquid solution and a small number of particles/clusters. In contrast, in-situ X-ray techniques characterise large ensembles of particles, providing information with significant statistical meaning. Various in-situ X-ray techniques were adopted to specifically explore the nucleation and growth of various materials in solution, e.g. metal nanoparticles, minerals, and proteins [96–101]. Wu and co-workers [96] have reviewed the applicability of various X-ray techniques, i.e. X-ray absorption fine structure (XAFS), small-angle X-ray scattering (SAXS), and wide-angle X-ray scattering (WAXS) for the studies of nucleation and growth of nanoparticles at different stages of evolution (Figure 13). XAFS technique has been proven to be a useful tool to provide quantitative information about chemical bonds, oxidation states, and the coordination environment of the element. This information provides valuable insights into the mechanism and kinetics of transformation from precursor to monomer and cluster, especially at the pre-nucleation and nucleation stages [102]. However, XAFS only probes the first few coordination shells and thus fails to reveal nanometre-scale structure and dimension of particles which is essential for the determination of the kinetics of nucleation and growth. In-situ SAXS (details about this technique can be found in Li and co-worker’s review [103]) is an extraordinarily useful tool for structural characterisation, e.g. size, shape, and size distribution of solid particles, especially when the particle size is still relatively small (i.e. < 10 nm). At the late growth stage, in-situ WAXS technique can also be used to probe the growth of larger nanoparticles as they usually exhibit strong Bragg diffractions, yielding discernible WAXS signals from which the evolution kinetics of both geometrical and crystalline anisotropy could be extracted. 24 Figure 13. Schematic illustration of time-dependent evolution of concentrations of precursor reactant (red), nanoparticle precursor (green), and size of nanoparticles (blue) involved in a typical synthesis of colloidal nanoparticles. The lower part highlights the applicability of various X-ray techniques for different evolution periods [96]. With the aid of in-situ X-ray techniques, more evidence about classical and nonclassical nucleation and growth has been released. Sauter and co-workers [97] have studied protein crystallization of bovine β-lactoglobulin in the presence of CdCl2 using in-situ SAXS. They suggest a two-step process of crystal nucleation within an intermediate that forms first from solution and is later transformed to crystals and interpret the non-classical growth kinetics mathematically. By combining in-situ XAFS and SAXS, Polte and co-workers [104] have observed phenomena that are not in complete agreement with the LaMer model. The citrate synthesis of gold nanoparticles seems to follow the classical “burst nucleation”; however, in the growth step, the number of particles decreases significantly after nucleation while only minor Au(III) was consumed, suggesting the process does not follow the classical theory, and both the monomer-by-monomer and particle-based pathways of growth may co-exist. Interestingly, by changing the synthesis protocol and using SAXS and WAXS, Chen and co-workers [105] pointed out that their results can be well described within the framework of classical nucleation and growth theory. The kinetic model they developed gave excellent agreement with experimental results in the literature [106,107], even part of results from Polte and co-workers [104]. Staniuk and coworkers [108] explored the polyol synthesis of cobalt and cobalt oxide nanoparticles using in-situ XAFS. Unlike the steady-state nucleation conditions described in CNT, 25 they observed time-dependent kinetics for the formation of Co, Co3O4, and CoO nanoparticles. 5.3 Other Techniques Besides in-situ EM and in-situ X-ray techniques, other techniques are also being used to probe nucleation and growth processes in solution [55,109–112]. Micro-Raman spectroscopy-based techniques are typically used to determine the vibrational modes of groups in the local environment which reflect the status of ions, clusters and crystals during nucleation and growth. Lee and co-workers [109] demonstrated multiple supersaturation-dependent pathways of nucleation in highly supersaturated aqueous KH2PO4 (KDP) solution using in-situ micro-Raman. By comparing the Raman spectral shift of P(OH)2 and PO2 peaks, they proposed that the pathway of nucleation depends on the degree of supersaturation: (i) low-concentration KDP solution (S < 3.0) to stable KDP crystal (tetrahedral structure), (ii) lowconcentration KDP solution to high-concentration KDP solution to a metastable KDP crystal (monoclinic structure) to stable KDP crystal. Similar phenomena were also observed by Zhang and co-workers [110] in the crystallisation process of gypsum (CaSO4∙2H2O) using in-situ Raman spectroscopy. By combining crystallisation assays equipped with potentiometry, conductivity, and pH titration measurements with analytical ultracentrifuge (AUC), Gebauer and co-workers [55] proposed the pre-nucleation clusters concept based on CaCO3 precipitation process which has been discussed above in Section 3.2 Pre-Nucleation Clusters . The combination of these techniques allows quantitative assessment of ion association and thermodynamic solubility products in different stages of precipitation (mainly with ion-selective electrodes) and targeted access to distinct precursor species and intermediate stages (with AUC) [113]. 5.4 Microfluidic Platforms Microfluidic technology, e.g. single-phase microfluidics and droplet microfluidics (Figure 14), provides an alternative platform for investigation of nucleation and growth [114]. Compared to traditional platforms, microfluidic devices offer many advantages, 26 such as high surface-to-volume ratio, fast heat and mass transfer, small sample usage, and high throughput [115]. Despite the intrinsic limitation of solid handling [116], it has been reported that microfluidic devices can be successfully applied to the analysis of nucleation and growth of proteins [117], pharmaceutical compounds [118], and nanoparticles [119]. Microfluidic devices could be fabricated from various materials (e.g. glass and silicon, PDMS, PMMA, Teflon PFA/FEP). The transparency of the material to light, X-ray, and electron allows one to use most electron microscopy and spectroscopy tools (Figure 15) [114,119–122]. Figure 14. (a) Typical single-phase microfluidics for continuous crystallization of active pharmaceutical ingredients [123], (b) Typical droplet microfluidics for the investigation of nucleation kinetics of potassium nitrate crystals [124]. Figure 15. In-situ microfluidic cells used in spectroscopy and microscopy [122]. In order to obtain kinetic information of nucleation and growth process, microfluidic devices usually are integrated with spectroscopic systems. Ioannis and co-workers [125] have established a droplet-based microfluidic system including PTFE tubing as the main reactor for online kinetic measurements in colloidal crystallisation. By using on-line absorbance and PL modules, timescales for nucleation and growth of PbS QSs have been determined (Figure 16a) and a two-stage reaction mechanism has been 27 revealed (Figure 16b and c). Sultana and Jensen [123] have adopted a single-phase, PDMS microfluidic device and integrated in-situ optical microscope for determining the size and polymorphic form of glycine crystals. As shown in Figure 17, habit evolution of α-glycine over time can be monitored and its growth rates along the {011} and {010} faces can be calculated by measuring lengths of crystals in the corresponding directions. Because nucleation is a stochastic process, statistical measurements have to be performed. Droplet microfluidic devices, e.g. microfluidic tubes [126,127] and microfluidic chips [124,128] offer the possibility to perform high-throughput nucleation studies. Rossi and co-workers [126] derived crystal primary nucleation kinetics by probability distribution functions under stagnant (motionless droplet) and flow (moving droplet) conditions: 𝑃𝑇(𝑡;𝑆, 𝑉) = 𝑀 + (𝑡;𝑆, 𝑉) 𝑀 = 1 ― exp[ ―𝐽(𝑆)𝑉𝑡] 14 where P is the theoretical probability that at a given time t at least one crystal is present in a droplet of volume V containing a mixture at supersaturation S. 𝑀 + (𝑡;𝑆, 𝑉) is the number of droplets in which at least a crystal forms within a time t and M is the overall number of droplets. By using high resolution optical microscopy, primary nucleation rates can be determined experimentally, as shown in Figure 18. Figure 16. Nucleation and growth kinetic studies of PbS QDs using absorption and fluorescence measurements. Temporal evolution of (a) absorption spectra at 130 °C, (b) position of the emission peak, and (c) average size of PbS QDs [125]. 28 Figure 17. Habit evolution of α-glycine over time when bipyramidal seeds were grown in the presence of 1% (S)glutamic acid (top row) and 2% (R,S)-methionine (bottom row). Scale bars are 10 μm [123]. Figure 18. (a) Droplet arrays in 1 mm PFA capillary tube, and (b) adipic acid nucleation rates determined by fitting experimental points of the cumulative distribution function at different residence times for various supersaturations with the theoretical cumulative distribution function. Optical based techniques however provide limited information regarding compositional 29 and structural characteristics, and thus alternative techniques, e.g. X-ray, Raman, and EM, are also adopted. Similar to the application for batch nucleation and growth studies, microfluidic-coupled X-ray based techniques enable the collection of timeresolved, serial absorption/diffraction/scattering patterns from a stream containing growing crystals, e.g. calcium carbonate crystals [129], proteins [130], and ZnO nanoparticles [119]; microfluidic-coupled Raman spectroscopy enables the monitoring of crystallisation conditions and polymorphic transformations of succinic acid crystals [121]; microfluidic-coupled EM enables the tracking of morphological, structural and chemical changes of solids in liquids in real time [131]. 5.5 Machine-Learning (ML) for Experimental Data Mining The advent of the in-situ techniques and high throughput microfluidic platforms for nucleation and growth study leads to an exponential increase in the volume of data sets. Taking full advantages of such data acquisition technologies and large data sets requires advanced techniques from data science, such as Machine-Learning (ML) [132–135]. The rationale behind the use of ML is to develop algorithms to learn and improve its accuracy from large sets of data in order to predict efficiently useful information, without or with limited human intervention. Compared with the applications of ML in other areas, such as image and speech recognition [136,137] and web-searches [138], the introduction of ML to materials science, especially to the study of nucleation and growth, is still recent. In the realm of nucleation and growth, a particular area of strength of ML is the image and spectral analysis of data from the aforementioned data acquisition techniques [134,139]. Wijethunga and co-workers [134] have developed a crystal face identification method in epitaxial crystal systems (i.e. Acetaminophen (APAP) grown on D-mannitol (MAN), D-galactose (GAL), and xylitol (XYL) substrates) based on Raman spectroscopy combined with ML (Figure 19). By comparing the Raman spectra to those within the built library, the authors have determined the identity of unknown crystal faces obtained under actual experimental conditions, which helps to evaluate the morphologies applicable to control the nucleation and growth. Yao and co-workers [139] applied U-Net neural network (a ML model) for Au nanoparticle segmentation in liquid-phase TEM videos (Figure 20). They have adopted three types of nanoscale dynamics, including motion, chemical reaction, and self-assembly of nanoparticles as proof-of-concept tests and have mapped interesting properties for anisotropic Au nanoparticles with different shapes, including 30 an unexpected kinetic pathway of nanoparticle assembly, i.e. first-order chaining assembly. The application of machine-learning aided experimental data mining for the nucleation and growth study is still under active development. The success of such ML models depends mainly on the quantity and quality of data sets (i.e. training, validation, and testing sets), which are restricted by the temporal and spatial resolutions of experimental techniques, and this turns out to be one of the major challenges in material informatics [140]. Further advancement will also come from in-situ or operando data acquisition and analysis from high resolution imaging and spectroscopic techniques. Figure 19. Comparing the results obtained with Raman indexing with respect to single crystal X-ray diffraction (SCXRD) results of the APAP-XYL epitaxial crystal pair; (a) XYL face identified by SCXRD, (b) APAP face identified by SCXRD, (c) comparison of the Raman spectra obtained for the APAP attached XYL face to the {0-10} face from the Raman library, and (d) comparison of the Raman spectra obtained for the APAP face to the {001} face from the Raman library. [134] 31 Figure 20. Schematic of U-Net-based image segmentation for liquid-phase TEM videos 6. Active Control of Nucleation and Growth Apart from controlling temperature and chemical environments, several other active control techniques (Figure 21) have been employed to manipulate the nucleation and growth processes. Those are discussed in the following to highlight their effectiveness for the control of nucleation and growth processes. Figure 21. Controlled homogeneous N&G, heterogeneous N&G and heterogeneous N&G on the substrate via the application of microwave, ultrasound, magnetic, laser, thermal fields and bio-functional ligands. 6.1 Magnetic Field The main purpose of introducing a magnetic field during nucleation and growth in solution is to utilise the Lorentz force and the magnetization force. The former is 32 induced by moving electrically conducting fluids, however, for non- or poorly conducting solutions, the effect of Lorentz force on nucleation and growth may be negligible. In contrast, magnetization force can be applied to even non-ferromagnetic matters in the same direction with or the counter direction to the gravitational force in the presence of an inhomogeneous magnetic field [141,142]. Recently, Wu and co-workers [143] have systemically investigated the effects of a high magnetic field (HMF) on nucleation and growth of FePt nanoparticles via wet-chemical synthesis. By applying HMF (up to 6 T) at different synthetic stages, they managed to distinguish the function of HMF on nucleation and growth separately and proposed potential mechanisms based on their experimental findings: 1. During the nucleation stage, if the process is assumed to follow homogeneous nucleation under the CNT framework, nucleation rate can be described by combining Equations Error! Reference source not found. and Error! Reference source not found. ( 𝐽 = 𝐾exp ― ( ) ∆𝐺 ∗ 16𝜋𝜎3𝑣2 = 𝐾exp ― 3 3 𝑘B𝑇 3𝑘𝐵𝑇 (ln𝑆)2 ) 15 where both the interfacial tension σ and the supersaturation S can be altered by HMF. They claim that the nucleation rate in Equation Error! Reference source not found. could be affected by both the Lorentz force and the magnetization force: as both the precursors and the nuclei can be magnetized, σ of FePt crystals will be influenced, although the change may be small, by magnetic field induced Zeeman energy. Lorentz force may increase the reduction reaction rate by controlling diffusion and convection, therefore increasing local supersaturation in solution, which can also facilitate nucleation, leading to overall reduction in grain size, particularly when HMF is applied at the nucleation stage. 2. During the growth stage, the effects of HMF are more profound. While applying HMF at only the growth stage, the grain size reduction phenomena were clearer with a decrease in size of about 20% while the shape of FePt nanoparticles transforms from cube-like to truncated-cube. The effects of a magnetic field on growth are further demonstrated by Niu and coworkers [144] in their work on magnetic field-induced synthesis of cobalt 33 nanocrystallites, one of the pioneering reports on the effect of a magnetic field on nucleation and growth. They synthesised Co nanoparticles in the presence of a magnetic field (0.25 T) via solvothermal reduction and observed that the spherical particles tend to align along the magnetic line of force and favour the formation of linear chains. They claim that the experimental phenomena are observed because magnetization force makes all the particles orientate along the direction of the force. Thus dipole-directed self-assembly may occur through dipolar interaction along the direction of the force, leading to the formation of linear chains. However, they have not discussed the contribution of the Lorentz force, probably due to the low magnetic flux density used. Similar phenomena are also observed for Fe3O4 nanowire synthesis [145]. Besides the application of magnetic field for inorganic materials preparation in solution, Yin [142] has reviewed the applications of magnetic field for protein crystallization, and summarises the possible mechanisms related to quality control of protein crystals in the presence of a magnetic field as follows. 1. The orientation effect: Under a magnetic field, the orientation effect can help to align microcrystals to the same direction of the growing crystals, thus reduce mosaicity and improve diffraction quality; 2. Convection control: Due to the magnetization force, the magnitude of effective gravitational force can be reduced, therefore convection can be suppressed, contributing to quality improvement of protein crystals; and 3. Reduction of sedimentation and containerless growth: Similar to mechanism 2, by applying a gradient magnetic field, the magnetization force could reduce the effective gravitational force, which can then induce levitation and magnetoconvection. 6.2 Ultrasonic Field Application of ultrasound to nucleation and growth in solution can dramatically affect the properties of final products. Nalesso and co-workers [146] have reviewed possible mechanisms of sono-crystallisation in solution recently, at the moment, most theories are based on the explanation of experimental phenomena. Hence, physical and mathematical explanations of the process are still lacking. 34 Although the mechanism of using ultrasonic field to control nucleation and growth is not fully understood, it is widely accepted that cavitation, i.e. the creation of micro gas bubbles in liquid medium, plays an important role in both steps and all proposed theories revolve around cavitation: 1. Each microcavity formed in the presence of ultrasonic field could act as an active site of heterogeneous nucleation for crystallization [147]; 2. Cavitation induced micro liquid streaming and turbulence help to enhance mass transfer rates, subsequently accelerate diffusion controlled growth [148]; and 3. Cavitation could release shockwaves and create local zones with high pressure (~ 1000 atm) and temperature (~ 5000 K). The released energy enhances mass transfer rates and molecular collisions as well as lowers the critical free energy required for nucleation in the whole system [149]. 4. Released shockwaves and micro liquid streaming could assist or inhibit secondary nucleation by fragmenting crystals or loosening assemblies of monomers [150]. Sonochemical synthesis technique has been adopted for controlled production of various materials in solution. Dheyab and co-workers [151] recently reported the formation of the Au shell on Fe3O4 core NPs using powerful ultrasound radiation. Two positive effects on core@shell-type materials synthesis have been confirmed: 1) the presence of an ultrasonic field maintains uniform disperse of NPs and avoids agglomeration of clusters and 2) the presence of an ultrasonic field ensures a uniform formation of an Au shell on Fe3O4 core. It is because the shockwaves and micro liquid streaming generated drive Au clusters towards the Fe3O4 surface at very high velocities, enabling precise control of heterogeneous nucleation on Fe3O4 surface, rather than homogeneous nucleation in the bulk solution. The production of biomolecule materials, e.g. lysozyme protein, could also benefit from introducing an ultrasonic field. Mao and co-workers [152] demonstrated a positive nucleation enhancement effect of ultrasonic in the lysozyme crystallization process. In the presence of an ultrasonic field, energy released by the shockwaves could overcome critical free energy required. Therefore, nucleation could happen under a relatively low supersaturation, and metastable zone width becomes narrower. In addition, micro liquid streaming and turbulence help to enhance mass transfer rates between solid and liquid phases, so that nucleation is promoted. According to the LaMer theory, 35 small but monodispersed crystals will then be generated due to burst nucleation which was well observed in their work. 6.3 Microwave Field Microwave (MW) has been widely accepted as an alternative heating method for volumetric heating with a much shorter heating time required (~ 200 ˚C/min heating rates) compared with that of conventional heating methods (~ 20 ˚C/min heating rates) [153]. Theoretically, microwave heating can be applied to any material containing mobile electric charges, such as polar molecules or conducting ions in a solvent or a solid. The heating mechanism can be described as follows: molecules and ions tend to respond to the rapidly changing alternating electric field, therefore, rotation, friction, and collision of molecules and ions lead to a local temperature increase [154]. Pioneering work on microwave-assisted synthesis can be traced back to 1980s when Komarnemi and Roy [155] prepared titania gel spheres using a sol-gel method in a microwave oven. The effect of microwave field on nucleation and growth in solution can be summarised via two mechanisms: 1) thermal effect, i.e. rapid heating, overheating, hot spots, and selective heating [156], and 2) non-thermal microwave effects, i.e. mass transfer enhancement due to the highly polarising field applied on polar molecules or conducting ions which may increase the probabilities of effective contacts [157]. Jhung and co-workers [158] have explored the effects, mainly thermal effects, of microwave irradiation on fast synthesis of porous materials by a hydrothermal method. By switching between microwave irradiation and conventional electric heating, they have quantitatively demonstrated that microwave irradiation accelerates both the nucleation and growth rates of silicalite-1 and VSB-5, while the contribution to synthesis time reduction by microwave irradiation is more significant in the nucleation stage. It was also observed that the nucleation of silicalite-1 and VSB-5 crystals follows the classical LaMer theory [30]. A higher population of nuclei with smaller sizes were generated in the presence of MW due to the faster reaction rate and higher supersaturation generated in solution with rapid heating. Based on the ability of microwave field on nucleation and growth control, more focus has been shifted to use MW for nanomaterials preparation recently [159–164]. Given 36 the rapid heating feature, Manno and co-workers [161] adopted MW to quickly create a uniform temperature field (in 15 s vs more than 60 s with conventional heating) for Ag nanoparticles synthesis via wet chemical reduction. The fast reduction and nucleation under MW irradiation lead to a smaller but less poly-dispersed product, with a decrease of 70% in size deviation and 58% in size. It agrees well with the LaMer theory [30], in which burst nucleation leads to a large amount of smaller nuclei and avoids the successive nucleation which ensure homogeneity of the resulting nanoparticles. Given the selective heating feature, Gonzalez and co-workers [165] reported the use of microwave activated chemical bath deposition (MW-CBD) to grow a CuO film on conducting glass. This strategy is to suppress homogeneous nucleation in solution but to promote heterogeneous nucleation on the substrate by preferentially heating the conducting glass and increasing the temperature to initiate deposition and nucleation. While using conventional heating, due to the heat transfer mechanism, homogeneous nucleation in solution could not be avoided which results in material waste and growth stoppage of the nanostructure as no more monomers are available for the growth of nanostructures on a seeded substrate. A similar strategy was also reported for the growth of ZnO nanostructures on Si substrate [166]. Limited evidence has been released to demonstrate the non-thermal effect on nucleation and growth control. Nyutu and co-workers [167] demonstrated that nanocrystalline tetragonal barium titanate (BaTiO3) with particle sizes ranging from 30 to 100 nm could be synthesised via microwave-hydrothermal routes. It was observed that the properties of barium titanate, i.e. size, shape, and morphology, are influenced by microwave frequency. They claimed that it is due to different transverse magnetic modes at different frequencies. However, the information to support their statement is still limited. 6.4 Electric Field Electric field applied to a system is actually a carrier of extra energy and will therefore play a role in the nucleation process by affecting ions and other electrically charged monomers [168]. Therefore, in the presence of an electric field, the chemical potential difference based on CNT can be demonstrated as: ∆𝜇𝜀 = ∆𝜇 + 𝑐𝜀𝐸2 16 37 where E is the strength of the electric field, 𝑐𝜀 is a function of the relative permittivities: 𝑐𝜀 = 3𝜀0𝜀m(𝜀c ― 𝜀m)𝑣0 17 2(𝜀c + 𝜀m) where 𝜀0 is the vacuum permittivity, 𝜀c and 𝜀m are the relative permittivity of the new solid phase and bulk solvent, respectively. Therefore, in the presence of an electric field, the critical free energy ∆G* in Equation Error! Reference source not found. becomes: ∆𝐺 ∗ = 16𝜋𝜎3𝑣2 3(𝑘𝐵𝑇ln𝑆 + 𝑐𝜀𝐸2) 2 18 When 𝜀c > 𝜀m, 𝑐𝜀 in Equation Error! Reference source not found. is positive, the critical free energy ∆G* is lower than that in the absence of electric field which means the nucleation process is enhanced; when 𝜀c < 𝜀m, 𝑐𝜀 in Equation Error! Reference source not found. is negative, the critical free energy ∆G* is lower than that in the absence of electric field which means the nucleation process is suppressed; if 𝜀c = 𝜀m, the electric filed does not influence nucleation. Thus, for systems with existing ions or charged monomers, the application of an electric field may offer an alternative method to control the nucleation and growth processes by adjusting the electric field strength and the solvent relative permittivity. Alexander and co-workers [169] recently reviewed different aspects of how electric fields control crystallization with an emphasis on protein crystallization. Several benefits can be summarised as follows: 1. Reduction of nucleation time, i.e. increase nucleation rate, by applying an electric field when 𝑐𝜀 > 0 [170,171]; 2. Locally controlled nucleation can be achieved by creating an inhomogeneous electric field within a reactor [172,173]; 3. Control of product crystal size, quality and yield by adjusting the effective supersaturation which is the driving force of both nucleation and growth processes [174,175]; 4. Control of crystal orientation via the formation of dipoles in the presence of an 38 electric field [176] and polymorphism by hindering unwanted growth [177]. 6.5 Photon Field In addition to the external fields explored above, photons have also been utilised to control the nucleation and growth processes of nanomaterials. Typically, lasers are used to provide energy for nanoparticle formation. Various laser-assisted methods have been developed to prepare nanoparticles, including but not limited to pulsed laser ablation at the liquid-solid interface (Figure 22 and Figure 23), laser pyrolysis in the gas phase (Figure 23), direct laser writing on solid surfaces (Figure 24), and laserinduced forward transfer through space (Figure 25). Recent progress and development of the four laser-assisted methods for nanoparticle formation are introduced in detail below with examples of more recent developments for controlling the nucleation and growth characteristics. 6.5.1 Pulsed Laser Ablation or Deposition Pulsed laser ablation or deposition (PLA or PLD) provides ample opportunities to engineer the size and shape as well as physical and chemical properties of the assynthesized nanoparticles [178–180]. The fluence and wavelength of photons as well as the pulse width and frequency can modulate the size of nanoparticles, while solvent and solution species such as β-cyclodextrin as well as the solution ionic strength could regulate the bimodal distribution of nanoparticles formed [181–184]. PLA or PLD was first investigated by Okada and co-workers to generate nanomaterials [185]. Silicon spherical particles in the size range between 20 and 500 nm were first fabricated using pulsed Nd:YAG laser under an Ar atmosphere. Nanoparticles containing elements other than Si were subsequently fabricated using PLA or PLD for various applications. For example, FexOy nanoparticles were produced using an ultraviolet (UV) KrF excimer laser by Shinde and co-workers [186]. A similar method using a UV laser was employed to generate FeNi nanoparticles[187]. 39 Figure 22. Illustration of (a) a pulsed laser deposition chamber [188], (b) a laser ablation system in solution [189], and (c) a PLD method to generate mixed metal nanoparticles [190]. In addition to producing nanoparticles of containing a single metal, PLA or PLD can also be used to prepare bi-metallic nanoparticle alloys by introducing metal salts different from the metal target being hit by the laser in the bulk solution. AgNi alloy nanoparticles were prepared using a continuous-wave (CW) CO2 laser (10600 nm) and a pulsed Nd:YAG laser (1064 nm) to process AgNO3 and Ni precursors in ethylene glycol by Poondi and co-workers [191]. The ratio of components in the resulting bimetallic nanoparticle can be tuned by the concentration of metal salts present in solution [192,193]. Environmental parameters including pressure and temperature can be used to modulate the properties of nanomaterials prepared using PLA or PLD. TiOx nanoparticles synthesized using a Nd:YAG laser under varying helium pressures were studied systematically. Seto and coworkers found that the physical properties of TiOx nanoparticle depend on the pressure applied during the laser treatment process [194]. As the helium pressure increases, nanoparticles agglomerated to a higher extent. Deposition of a film of gold nanoparticles via PLA of an Au nanoparticle solution using a second harmonic nanosecond pulse Nd:YAG laser was also found to exhibit pressure-dependent effect. The results indicated that the sizes of as-synthesized Au nanoparticles were affected by the applied pressure, and the nanoparticle film density changes from porous to dense as the pressure increases [195]. Apart from pressure, 40 other experimental parameters such as temperature were also investigated. Tsuji and co-workers observed that an increase in temperature caused the primary particle size to increase [196]. Figure 23. (a) Real-time shadowgraph and (b) scattering images of the laser-induced cavitation bubble during a PLA process, and (c) time sequence of PLA events [197]. Apart from preparing nanoparticles free of capping agents, PLA or PLD can be used to fabricate ligand-stabilized nanoparticles. Colloidal Au nanoparticles were prepared via ablation of a gold metal plate in sodium dodecyl sulfate aqueous solution using a 532 nm second harmonic Nd:YAG laser. As the concentration of the solution species became higher, smaller particles were achieved [198]. 41 Complex nanostructures can be achieved by the combination of PLA with postmodification methods. For instance, Ni/NiO core-shell structures are synthesized via PLA and subsequent annealing and oxidation by Sakiyama and co-workers [199]. CoPt alloys are successfully fabricated using a double harmonic pulse laser (532 nm) ablation method by Seto and co-workers [200]. Upon annealing at 1273 K, CoPt/SiO2 core-shell nanoparticles can be fabricated [201]. Furthermore, carbon-encapsulated magnetic nanoparticles such as Fe/C, Ni/C and Co/C could be obtained via ablation of a [M(C5H5)2] precursor solution using a pulse Nd:YAG (355 nm) laser [202]. Fe and Co nanoparticles have been synthesized using PLA for electrocatalytic oxygen [189,203]. Clearly, combined processes offer great potential for controlled engineering of a wide range of nanostructures. The choice of solvent could play an important role in determining the properties of PLA-derived nanoparticles. Amendola and co-workers prepared Ag nanoparticles using a Nd:YAG laser without using reducing agents and stabilizing molecules in various organic solvents including acetonitrile (ACN), N,N-dimethylformamide (DMF), tetrahydrofuran (THF), and dimethyl sulfoxide (DMSO). The structure of resulting Ag nanoparticles depends on the solvent used. Pure Ag nanoparticles free of adventitious carbon were formed in ACN and DMF. Ag nanoparticles synthesized in THF were partially covered with an amorphous carbon shell, while in DMSO the nanoparticles were embedded completely in a carbon matrix [204]. Effect of laser wavelength on laser-prepared nanoparticles has also been explored. Dikovska and co-workers indicated that Ag nanoparticles synthesized using PLA method are affected by the processing wavelength. They subjected a silver target to different harmonic pulse lasers ranging from 1064 nm to 266 nm. They reported that shorter wavelength (266 nm) was better at generating smaller particles (4 nm in diameter) that exhibited surface plasmon resonance [205]. In general, this PLA or PLD technique produces nanoparticles in a batch-wise fashion by projection of a laser beam onto a solid target in a solution or directly at a colloidal solution. Although PLA or PLD can generate nanoparticles with different compositions, nanostructures and shapes with and without the use of a reducing agent and stabilizing molecule, these methods are performed under an inert environment such as Ar, N2 or He, under careful pressure control, and/or in a liquid solvent. The modularity of this technique allows nanoparticles of different types of elements to be 42 prepared, yet liquid solvents necessary for this process could result in environmental waste that might go against the development of green industrial practices. In order to facilitate the translation of PLA or PLD into an industrial-relevant technique, overcoming the abovementioned limitations is needed. Upon upgrading this technique into a continuous production method under ambient condition, PLA or PLD has the potential to mass produce nanoparticles in an industrial setting with tuneable physical and chemical properties in a scalable fashion. 6.5.2 Laser Pyrolysis Gas-phase laser pyrolysis generally requires the use of a sensitizer to absorb photons and transfer the energy to vaporized reagents to generate nanoparticles that will be collected downstream using filter membranes or other capturing means [206]. The identity and vapour pressure of the sensitizer and carrier gas can therefore be used to control the size of the as-prepared nanoparticles [207]. Figure 24. Illustration of a laser pyrolysis chamber [208]. The sensitizer used can be modulated to determine the physical and chemical properties of the nanoparticles produced via laser pyrolysis. SF6 gas is a typical 43 sensitizer used in laser pyrolysis to generate magnetic nanoparticles and Si nanoparticles. Si nanoparticles are prepared via pyrolysis using a continuous-wave (CW) CO2 laser in the presence of SiH4 assisted by SF6 gas. Silane serves as a precursor to form ceramic nanoparticles like SiC and SiO2 [208]. Si@C nanoparticles have been prepared using laser pyrolysis as photocatalysts and as high-capacity anode materials for lithium-ion batteries, respectively [206,209]. Complex nanoparticles made of ZrO2, Y2O3:Ce, and TiCxNy can also be obtained using this method [210]. Most nanoparticles fabricated using the laser pyrolysis method can be done in a reactor filled with metal pentacarbonyls that serve as precursors of choice. Sulfur hexafluoride (SF6) is typically used as a photosensitizer because most metal carbonyls do not absorb at 10600 nm. Sensitizers and carrier gases other than SF6 have also been used in laser pyrolysis. FeC nanoparticles can also be formed using this method by mixing Fe(CO)5 with C2H2 gas while irradiated using a CW CO2 laser. Upon applying a CW CO2 laser on nebulized Fe(CO)5 aerogel precursor, uniform Fe nanoparticles in the size range between 13 nm to 14 nm can be formed [211]. Borsella and co-workers fabricated MoS2 nanoparticles via pyrolysis using a CW CO2 laser in the presence of Mo(CO)6 and H2S [212]. He and co-workers synthesized Ni nanoparticles via pyrolysis using a CW CO2 laser and found that the size of nanoparticles depends on several factors such as laser position, operating pressure, sheath, and purge gas flow rates [213]. A one-step synthesis of carbon nanocapsules, Fe-containing nanotubes, and Fe3C nanoparticles has been reported. The Bystrzejewski group used a CW CO2 laser to irradiate ferrocene and MgO under an N2 flow. The obtained particles need to be further treated using nitric acid prior to performance testing [214]. Laser pyrolysis is a promising technique to produce nanoparticles in large quantity, though the volatility requirements on the precursors and sensitizers could limit the versatility of this technique. However, laser pyrolysis generally involves the use of hazardous chemicals, thereby posing potential safety concerns for upscaling. Significant capital investment is also needed in the initial launch phase to set up multi-stage steel reactor chambers. The ability to prepare multi-component nanoparticles with core-shell or complex structures is restricted to the availability of suitable precursors, sensitizers, and carrier gases. One benefit of using laser pyrolysis is that no liquid waste is generated during the process due to the nature of this gas phase technique. 6.5.3 Direct Laser Processing on Substrates Direct laser writing allows for direct patterning of surfaces with nanomaterials [215]. Previously 44 used to fabricate graphene-based materials, direct laser scribing is repurposed to enable nanoparticle fabrication processes. Upon laser scribing, a precursor film, likely a lightabsorbing polymer layer, irradiated by the laser beam will transform into nanoparticles, with the size controlled by laser treatment parameters and film thickness [216]. HAuCl3 precursor and polyvinyl alcohol solution were first mixed together and then coated on a glass substrate. A pulse near-IR (780 nm) Ti:Sapphire laser was used to write directly on the coated glass to generate Au nanoparticles [217]. Surfaces decorated by nanoparticles generated using laser direct writing have been used in the field of micro-supercapacitors and wave guides [218,219]. Few papers study the use of direct laser scribing or writing to fabricate nanoparticles as the main application was focused on polymer carbonization to form graphene. Figure 25. Schematic of (a) direct laser scribing process [220], (b) laser-induced graphene process [221], and (c) roll-to-roll direct laser writing process [222]. Laser-induced graphene (LIG) processes could be classified as another direct surface modification technique to generate graphene via carbonization of polyimide (PI). Recently, LIG processes were utilized to fabricate nanoparticles. Tour et al. synthesized polyimide thin films containing metal salts by mixing poly(pyromellitic dianhydrideco-4,40-oxidianiline amic acid) (PAA) in NMP/aromatic solvent (80:20) with different metal (Co, Fe or Mo) acetylacetonates under vacuum at 60 °C for 3 days, followed by an annealing step in a CVD quartz tube furnace at 750 °C under Ar atmosphere. The LIG process was subsequently applied to generate nanocrystals using a CW CO2 laser. The oxygen reduction reaction (ORR) performance of Co, Mo, and Fe nanoparticles made via a LIG process were found to on par to state-of-the-art nonprecious metal (NPM) electrocatalysts made using other traditional batch methods [223]. Wang and co-workers prepared Co2+ gelatin hydrogel and further coated the hydrogel onto a 45 PI film surface. A CW CO2 laser was applied by focusing on the coated surface to form Co3O4. After LIG patterning, a stretchable supercapacitor was generated [224]. The ability to achieve patterned interfaces in a one-step fashion without the use of masks is a boon to surface science fields in terms of fabrication efficiency and user-friendliness, though the precursor film preparation steps and the restriction on the precursor mixture could limit the cost effectiveness and environmental friendliness as liquid toxic waste could be generated. Specifically, tailored metal salts are needed for the time-consuming LIG process. If the precursor film formation steps could become eco-friendlier and less complicated, this direct laser writing method could allow for nanoparticles to be directly generated and deposited onto a wide selection of substrates ranging from transparent to opaque materials and from insulating to conducting surfaces in a green manner. 6.5.4 Laser-Induced Forward Transfer Laser-induced forward transfer (LIFT) is a multistep process that transform a precursor film into nanoparticles that are then deposited on a neighbouring substrate of choice [225]. Precursor film thickness, laser power, and rastering speed of the laser beam can tune the nanoparticle size [226,227]. This technique can be coupled to pre- or post- laser treatment step to generate laser-derived graphene for device fabrication and surface hydrophobicity tuning [228]. Figure 26. Schematic of (a) the LIFT-assisted nanomaterial preparation (LANP) process, and (b) post laser treatment to tune surface properties [229]. LIFT can serve as a one-step dry technique to generate carbon-supported metal electrocatalysts at room temperature and atmospheric pressure within seconds in a green manner. A 1064 nm CW Nd:YAG laser has been used previously to convert commercial PI films into Janus graphene membranes in a one-step process for seawater desalination [230]. 46 A wearable sweat sensor has been developed using LIFT graphene [231]. A binder-free supercapacitor has been produced with enhanced conductivity and porosity due to the underlying LIFT graphene network [232]. A superhydrophobic and oleophilic feature of LIFT graphene can achieve oil-water separation for oil recycling [233]. Finely dispersed surfactantfree Pt NPs supported on a few-layer graphene carbon matrix are generated using a LIFTassisted nanomaterial preparation (LANP) method, a procedure inspired by the one-step LIFT technique, as active and robust HER electrocatalysts. Apart from Pt nanoparticles, Ru and Ni nanoparticles made using LANP have been demonstrated to be efficient electrocatalysts for oxygen evolution reaction [229]. LIFT is an exciting up-and-coming technique that allows for the facile synthesis of ligand-free nanomaterials supported on conductive carbon under ambient condition at room temperature at standard pressure without generating any liquid waste, though the scalability of this technique has rooms for improvement. One hurdle in developing LIFT into a universal technique for nanoparticle synthesis is the limited array of shapes, structures, and morphologies that can be generated. As local heating and rapid cooling steps are involved, LIFT usually generates spherical nanospheres. This low-cost electromagnetic wave coupled material transformation (ECMT) method does not require an ultrahigh vacuum chamber (UHV) or a high-temperature quartz tube furnace. LIFT-derived nanomaterials are also amenable to post-annealing treatments, thereby enriching the diversity of nanoparticles to be fabricated and processed using LANP. In addition to zero liquid waste being generated during the LIFT process, this technique could potentially be scaled up for industrial applications by incorporating into a roll-to-roll printing or continuous extrusion system. 6.6 Bio-functional Capping Ligands Capping ligands have longed been used to facilitate nanoparticle formation. Traditional ligands include cetyltrimethylammonium bromide (CTAB), polyvinylpyrrolidone (PVP), citrate, and their derivatives have been employed to produce metallic nanoparticles [234]. The size and shape of which can further be tuned by the temperature, condition, and kinetics of the reaction as well as the use of other shape-directing agents and supercritical fluids [235]. Another exciting direction being actively explored is the use of organometallic cages as nanocapsules for templated synthesis of size- and shapecontrolled nanoparticles via the confinement effect [236].The field of ligand-capped nanoparticles has been well-described by many reviews, and here the discussion will be geared toward more recent development on the use of biochemical entities to assist the nanoparticle nucleation and growth process. 47 Recently, cutting-edge progress has been made at the crossroad between nanomaterials and biochemistry. Nucleic acids, proteins, and lipids are nanoscale components critical to supporting life on Earth. Single-stranded DNA (ssDNA) has been discovered to template the growth of nanoparticles into different sizes and shapes [237]. Poly-A, poly-T, poly-G, and poly-C ssDNA of lengths between 15-30 nucleotides have been employed as shape-directing agents to toggle the shape of Au nanoparticles between hexagons and stars as well as dumbbells and pyramids (Figure 27) [238]. Such tuneability on thickness and shape control is attributed to the binding affinity of oligonucleotides to different crystal planes or faces of the seeds as nucleation sites [239]. Using a combination of poly-A/T/G/C or oligonucleotides of different lengths, the size and shape, such as nanoflowers, of Au nanoparticles can be tailored [240]. Depending on the seed being used, Pd-Au bimetallic core-shell nano-constructs can be fabricated via a DNA-mediated process [241]. 48 Figure 27. Shape-directing effects of DNA oligomers on nanoparticle synthesis [238]. Peptides could potentially provide more control over the size and shape of resulting nanoparticles when compared to nucleic acids [242,243].The number of naturally occurring amino acids that make up proteins is significantly larger than the four available to DNA. With the advent of incorporating artificial amino acids into peptides via solid-phase peptide synthesis and via amber codon suppression, the binding strength between peptides and nanoparticle seeds can be tuned precisely (Figure 28). Lipids have long been known to form nanoscale micelles and vesicles that are used as drug delivery vehicles [244]. In recent years, the core of lipid constructs can be switched from liquids to solids. In other words, lipids can be used to coat the surface of nanoparticles [245]. These nanoparticles have been used for photodynamic and photothermal therapies as well as enabling theragnostic technologies for cancer treatment [246]. 49 Figure 28. Facet-dictating peptides displaying differential binding affinities towards various exposed crystal faces of nanoparticles [242]. 7. Practical Significance of Nucleation and Growth in Solution Practical significance has continuously been motivating the studies about nucleation and growth. Meanwhile, the knowledge from both classical and non-classical nucleation and growth theories have guided the design and control over different applications in real scenarios. 7.1 Uniform Lithium Deposition The quality of Li metal anode (more specifically, the quality of the Li layer on it) determines the performances of both Li-sulphur and Li-air batteries. The formation of a uniform and compact Li deposition (i.e. large nuclei size and small nucleation number density on the substrate) requires accurate control over nucleation and growth during the Li plating process. Failed to do so may induce severe capacity loss due to the formation of “dead Li”, more severely, leading to potential safety hazards [247]. Therefore, the control of heterogeneous nucleation and growth of Li shows essential importance for Li batteries production. A facile and effective method by merely tuning the deposition temperature was 50 recently proposed by Yan and co-workers [248]. The driving force for Li electrodeposition can be divided into two main parts, namely the nucleation overpotential and the plateaus overpotential which is mainly due to mass transfer of Li ions from the bulk electrolyte to the solid-electrolyte interphase [249] (Figure 29c). According to CNT, nucleation of a new solid phase needs to overcome a free energy barrier (Equation Error! Reference source not found.). In the nucleation region, the volume energy term is closely related to the nucleation overpotential [250]: 4𝜋𝑟3 4𝜋𝑟3 2 ∆𝐺 = ―𝑛∆𝜇 + 𝜎𝐴 = ― ∆𝜇 + 4𝜋𝑟 𝜎 = ― F𝜂 + 4𝜋𝑟2𝜎 3𝑣 3𝑣 𝑟∗ = 2𝜎𝑣 𝐹𝜂 19 20 where F is Faraday’s constant and η is the nucleation overpotential. At the same current density, Li nucleation overpotential significantly decreases as the temperature increases from 20 ˚C to 60 ˚C, which leads to a decrease in the free energy barrier and a more lithiophilic surface (Figure 29c). From Equation Error! Reference source not found., a clear relationship between critical nuclei size and nucleation overpotential can be observed which also leads to a cubic relationship between nucleation number density and nucleation overpotential if assuming spherical nuclei. The plateaus overpotential in Figure 29c is mainly determined by the current density and the diffusion properties of Li ions in bulk electrolyte in the post-nucleation growth stage. At the same current density, plateau overpotential decreases with increasing temperature, indicating that the Li growth process is promoted at high temperatures (Figure 29d). Due to the combined effects of elevated temperature on nucleation and growth stages, large Li nuclei size and small nucleation number density could be achieved on the substrate at elevated temperature (Figure 29a), detailed mechanisms of nucleation and growth at high and low temperatures were proposed as shown in Figure 30. To further support experimental results, computational simulation demonstrates numerically the effects of temperature on nucleation, plateau overpotentials (Figure 29d), and nucleation number density (Figure 29b). 51 Figure 29. (a) Statistic histograms of Li nuclei size and nucleation density for Li plating at 0.05 mA cm-2. (b) Change in Li nucleation densities with temperature. (c) Chronoamperometric comparison of Li nucleation at varied temperature at 0.05 mA cm-2. (d) Change in nucleation overpotentials and experimental and simulated masstransfer overpotentials with temperature [248]. Figure 30. Schematic illustration of proposed Li nuclei generation and growth mechanism [248]. 52 Another strategy for the formation of uniform deposition of Li is to modify the surface condition of metallic current collectors. Wei and co-workers [251] reported a uniform Li deposition method recently by coating the current collector, i.e. Cu foil (CF), with a thin 3 ˚C GaInSnZn liquid-metal layer. Li deposition follows heterogeneous nucleation, in which the surface condition plays a vital role. In traditional processes using uncoated CF, due to the use of rough surface with defects which could act as nucleation sites, Li preferentially nucleate and grow on these defects, resulting in non-uniform Li deposition and even dendritic Li in the plating process. Therefore, a coating which may ideally provide a smooth and lithiophilic surface could be a solution. They adopted a gallium-based liquid-metal alloy as the coating material in their work. The contact angle was 29.6˚ for uncoated CF, while the liquid-metal-coated Cu foil (LCF) showed even better wettability with a contact angle close to 0 (Figure 31a). Meanwhile, from SEM images (Figure 31c and d), it can be seen that the surface became much smoother after coating compared with that of uncoated CF (Figure 31b). It could be also be used to explain the decrease in contact angle observed. In CNT, according to Equations Error! Reference source not found. and Error! Reference source not found., a lithiophilic surface (contact angle 0 < θ < 90) could significantly reduce the heterogeneous nucleation energy barrier. Therefore, the presence of the liquid-metal layer could effectively lower the nucleation barrier and inhibit non-uniform nucleation of Li from surface defects and growth of Li dendrites in the deposition process. 53 Figure 31. (a) Contact angles of liquid electrolyte on CF and LCF. (b) SEM image of CF. (c and d) SEM images of LCF [251]. 7.2 Synthesis of Supported Metal Catalysts Supported metal nanoparticles are widely used and investigated as heterogeneous catalysts in both academic research and industrial applications [252,253] However, controlling the nucleation and growth steps to tune the size, polydispersity, morphology, and structure of active sites of supported metal nanoparticles is an ongoing challenge. In order to achieve high metal loading while keeping high dispersity and small size of metal nanoparticles on the support, Cho and co-workers [254] proposed a strategy by inducing regioselective nucleation of inorganic precursors on the pore walls via surface modification with basic groups, as shown in Figure 32. The ammonium group increases the basicity of the porous environment, causing nucleation or local precipitation of metal hydroxide which is later converted to oxide nanoparticles even at a low concentration of the precursor species. This strategy managed to get rid of homogeneous nucleated nanoparticles in the bulk solution which may attach/deposit 54 onto the supports, and introduce heterogeneous nucleation locally to the sites functionalised with –C3H6–N+(Me)3(OH)- group. Figure 32. Selective precipitation of metal nitrate precursors on mesopore walls can be realized by functionalization of mesopore walls with –C3H6–N+(Me)3(OH)- groups [254]. The concept of “single-atom catalysis”, i.e. to downsize supported nanoparticles to the atom scale to maximise metal atom efficiency, maintain catalytic performance, and decrease costs, has attracted interests recently [255]. Huang and co-workers [256,257] presented two examples recently about one-pot solution synthesis of supported metal/metal oxide catalysts. The logic of their work is similar to that of Cho’ work [54] which is to avoid homogeneous nucleation in solution in order to get monodispersed particles/atoms on the supports. The first system they investigated is nitrogen (N)doped mesoporous carbon (NMC) supported atomically dispersed platinum (Pt) catalysts (Pt/NMC-LT) [257]. Instead of functionalising the support, they employed ethanol as a mild reducing agent and controlled the reaction temperature at -40 ˚C. It can be seen from HAADF-STEM images in Figure 33a and b, under -40 ˚C, only isolated Pt atoms are anchored on the surface of NMC substrates. However, under room temperature, Pt sub-nanometre clusters were also observed (Figure 33b). 55 Figure 33. HAADF-STEM images of (a) Pt/NMC-LT and (b) Pt/NMC-RT. (c) Schematic illustration of two nucleation pathways of Pt atoms in ethanol and NMC substrate reaction mixture. (d) Energy diagram of Path-2 for Pt–Pt dimer formation at -40 ˚C (up panel) and RT (bottom panel). The initial state (IS), transition state (TS), and final state (FS) are shown from left to right. The ethanol molecules bound with Pt atoms and the NMC substrate are highlighted by spheres. C, N, Pt, O and H atoms are depicted by grey, blue, light blue, red, and white spheres, respectively [257]. As discussed above, supersaturation is introduced by chemical reaction (reduction) using weak reductants, i.e. ethanol and decreasing reaction temperature to -40 ˚C would decrease supersaturation thus increase the critical energy barrier. According to CNT, the critical energy barrier for heterogeneous nucleation is usually lower than that for homogeneous nucleation. If well controlled, the critical energy barrier in the system could be maintained at a specific range to theoretically exclude the possible involvement of homogeneous nucleation in the bulk solution. Huang and co-workers [256] also extended the strategy for synthesis of nitrogendoped mesoporous carbon supported clustered CoOx composite catalyst (CoOx/NMC). A two-step synthetic route for CoOx/NMC was adopted, including the nucleationinhibited solution synthesis of CoOOH/NMC at -40 ˚C and succeeding annealing process at 500 ˚C under an argon atmosphere. Nucleation was enabled by the redox reaction between CoCl2 and OH- released by NaBH4 hydrolysis at -40 ˚C. Similar nucleation environment as their previous work [257] was created: low reaction temperature and low reaction kinetics. The reaction rate was controlled by the limited 56 releasing of OH- ions as NaBH4 hydrolysis reaction is quite slow at -40 ˚C. They managed to produce ultrafine CoOx clusters (2-3 nm) on the surface of NMC substrates, as shown in Figure 34. Figure 34. HAADF-STEM images at different magnifications of CoOx/NMC with supported ultrafine clusters (2-3 nm) [256]. However, the main issue with this strategy is that the process of catalyst synthesis is rather time-consuming due to the low temperature and slow reaction kinetics. The nucleation step requires 12 hours to finish in a typical procedure, as reported [256]. 7.3 Morphology and Size Tuning Inorganic materials exhibit a variety of morphology- and size-dependent properties at the nanoscale. These properties would eventually determine the performance of these materials or devices. Therefore, control over these properties via facile and robust experimental methods is of practical importance in many industries. By merely tuning precursor solutions for precipitation processes, Lai and co-workers [258] have managed to manipulate inorganic materials to form either one-, two- or three-dimensional structures. According to nucleation and growth theories discussed above, supersaturation is the driving force for both nucleation and growth steps. For minerals and electrolyte crystals, supersaturation, S, can be written as: 𝑆= 𝑎𝛼A𝑎𝛽B 1𝑣 𝑐𝛼𝐴𝑐𝛽𝐵 ( ) ( ) 𝐾𝑠𝑝 ≈ 𝐾𝑠𝑝 1𝑣 21 Where cA and cB can be considered as the concentration of metal cations and 57 dissociated reactant anions, respectively, v is the number of ions in the material’s formula unit, and Ksp is the solubility product constant. From Equation Error! Reference source not found., it can be seen that to regulate the concentration of ions is crucial in controlling the supersaturation, thus the nucleation and growth. Meanwhile, it is believed that the kinetic effects also influence the processes of precipitation, by selecting reactants with different electrolytic dissociation values, 𝛼 = 𝐶𝐵 𝐶 , nucleation and growth rates can be controlled. 𝐴𝐵 Lai and co-workers [258] illustrated the formation mechanisms of various morphologies via tuning two parameters simultaneously, i.e. supersaturation and dissociation value, in Figure 35. For weak electrolyte systems (𝛼 ≪ 1), due to the presence of non-equilibrium states, reactants could slowly but continuously release new ions for the precipitation reaction, meanwhile, due to the consumption of ions for the precipitation reaction, the reequilibrium of the weak electrolyte would happen and therefore could provide a consistent driving force for the growth stage. More specifically, there are two scenarios: 1. When a low supersaturation was achieved through a weak electrolyte, it results in 1D growth of the product (Figure 35a, green reaction path), 2. When a high supersaturation was obtained via a weak electrolyte (a relative higher α compared with scenario 1, but still much less than 1), it leads to 2D growth of the product (Figure 35a, orange reaction path). In contrast, for strong electrolyte-based reactants (𝛼 ≈ 1), the solute can completely, or almost completely, release ions all at once. It results in the absence of a chemical driving force within the growth stage so that the materials uniformly grow on each axis and are prone to form 3D isotropic morphologies. There are also two scenarios: 1. When a low supersaturation was achieved through a strong electrolyte, due to their relatively slow nucleation and growth rate, the precipitates usually have regular shapes (Figure 35a, blue reaction path). 2. When a high supersaturation was achieved through a strong electrolyte, as both the nucleation and growth happen very fast, a large number of small irregular particles forms with the whole process difficult to control. 58 Figure 35. Mechanism of the formation of 1D, 2D, and 3D morphologies. (a) Schematic illustrations of the formation of 1D, 2D and 3D structures with regular shapes. Green arrow = 1D reaction path; orange arrow = 2D reaction path; blue arrow = 3D reacting path. TEM images of (b) a BaF2 tube, (c) a hollow BaF2 cube, (d) a porous CaF2 cube, and (e) a holey Co(OH)2 sheet [258]. Another example was reported by Wang and co-workers [72] about the synthesis of silver particles with controlled morphologies by regulating the pH and reactant concentrations. Although the strategy they used is slightly different from the one proposed by Lai and co-workers [258], the key concept is still the same: controlling the morphologies by tuning reaction kinetics and supersaturation. The relationship between morphology and supersaturation is shown in Figure 36. At low driving force, as shown in Equation Error! Reference source not found., when g value is equalto 2, growth follows the parabolic growth law. As nucleation is a rare event, the integration-controlled growth mechanism would result in mono-crystalline polyhedral crystals with smooth faces. At high driving force, the growth mechanism changes from integration-controlled to diffusion-controlled which would result in morphologies of dendrites and polycrystalline spherulites [259]. 59 Figure 36. Morphology change of crystalline particles as a function of the driving force, i.e. supersaturation, according to classical crystal growth theory [259]. The experimental findings for silver particles precipitation by the reduction of AgNO3 with ascorbic acid (AA) [72] also supported the classical crystal growth theory discussed above. When constant pH value was used (pH = 1.5), polyhedral silver particles were observed to be formed when the molar ratio of AA/AgNO3 is equal to 0.5:1 (Figure 37A); further increase the molar ratio of AA/AgNO3 to 5:1 and 10:1, i.e. further increase the supersaturation, resulted in the formation of dendrites and spherulites, respectively (Figure 37B and C). Figure 37. SEM images of silver particles formed at pH 1.5 with different molar ratios of AgNO3/ascorbic acid (mM/mM): (A) 10/5, (B) 10/50, and (C) 10/100 [72]. When the molar ratio of AA/AgNO3 was kept as a constant, i.e. 5:1, increasing the pH value of the system changes the final product morphologies dramatically. Although the oxidation potential of AA slightly decreases with increasing pH, at acidic conditions, lower pH shifts the reaction equilibrium towards the reactants. Therefore, supersaturation increases with an increase in pH which consequently results in a 60 gradual shift from integration-controlled growth to diffusion-controlled growth. Correspondingly, polyhedral, hopper and dendritic crystals were observed, respectively, as shown in Figure 38A - C. It also agrees well with the classical crystal growth theory [55]. However, it was also observed that larger particles were produced under high initial supersaturation which is against the classical nucleation and growth theory. Wang and co-workers [72] claimed that it might be ascribed to higher nucleation and aggregation rates within the framework of particle-based growth hypotheses. Figure 38. SEM images of silver particles formed at AgNO3/AA = 20 mM/100 mM, where initial pH of the AA solution was varied at: (A) -0.19, (B) 0.14, (C) 1.39, (D) 1.94, (E) 2.59, (F) 9.16, and (G) 9.78 [72]. 7.4 Surface Protection and Modification The nucleation of CaCO3 on the surface is widely involved in the development of unwanted inorganic foulants in desalination and the petroleum industries [260][261]. 61 Suppressing nucleation, more particularly heterogeneous nucleation, of CaCO3 could, therefore, be a cost-effective, energy-efficient solution to address inorganic fouling issues in the water purification and energy fuel sectors. Zhao and co-workers [262] proposed a novel method to control heterogeneous nucleation of CaCO3 using polymer coatings via initiated chemical vapour deposition (iCVD). For fouling tests, Cu/Ni alloy foils were selected as the substrates which have a similar composition with the tube materials used in heat exchangers and four iCVD polymers, namely, Polydivinylbenzene trimethylcyclotrisiloxane) (PV3D3), (PDVB), Poly(1,3,5-trivinyl-1,3,5- Poly(1,3,5,7-tetra-vinyl-1,3,5,7-tetra- methylcyclotetra-siloxane) (PV4D4) and Poly(1H,1H,2H,2H-perfuorodecyl acrylate) (PPFDA) were selected as coatings based on their surface energy, film roughness, and durability. According to the classical heterogeneous nucleation theory (Section 2.1 Development of CNT), by controlling the wetting conditions which is usually characterized by contact angle measurements, the nucleation free energy barrier and nucleation rate of heterogeneous nucleation can be tuned. It can be seen from Figure 39 (black squares) that the contact angle is higher than 130˚ for all the four iCVD polymers, indicating that all the surfaces are not favoured for CaCO3. If we adopt this contact angle as a reference, and use Equations Error! Reference source not found. and Error! Reference source not found. to calculate the heterogeneous nucleation energy barrier, it can be obtained that: ∗ ∗ ∗ ∆𝐺ℎ𝑒 = 𝜙∆𝐺ℎ𝑜 = 0.916∆𝐺ℎ𝑜 22 It means the free energy barrier reduction due to the presence of a foreign body is not noticeable and these iCVD polymer coatings could effectively inhibit heterogeneous nucleation of CaCO3. 62 Figure 39. (a) Contact angles of CaCO3 on iCVD polymers calculated from Young–Dupre equation (black squares) and the energy barrier ratio of heterogeneous nucleation to homogeneous nucleation based on classical nucleation theory (red circles), and (b) Contact angles of liquids with different known surface tension on iCVD polymer surfaces [262]. The SEM images shown in Figure 40 further confirmed the hypothesis based on classical nucleation theory. Compared with uncoated Cu/Ni surface (Figure 40a), Cu/Ni surfaces coated with iCVD PV3D3, PV4D4 and PDVB (Figure 40b-d) show significantly reduced amounts of CaCO3 crystals after the fouling test at 110 ˚C, while iCVD PPFDA coated Cu/Ni surface (Figure 40e) shows promoted heterogeneous nucleation of CaCO3 for the fouling tests which is due to the hydrolysis of acrylate polymer in a hot aqueous solution. The loss of passivation leads to the corrosion of Cu/Ni and further promotes the heterogeneous nucleation. Figure 40. (a–e) Scanning electron microscopy (SEM) images for (a) uncoated Cu/Ni and (b–e) iCVD coated Cu/Ni foil surfaces ((b) PV3D3, (c) PV4D4, (d) PDVB, and (e) PPFDA) after CaCO3 scaling tests at 110 ˚C. (f–j) Energy dispersive X-ray (EDX) mapping images for (f) uncoated Cu/Ni and (g–j) iCVD coated Cu/Ni foil surfaces ((g) PV3D3, (h) PV4D4, (i) PDVB, and (j) PPFDA) after CaCO3 scaling tests at 110 ˚C [262]. Unlike heterogeneous nucleation of CaCO3 in desalination and petroleum industries 63 which is undesirable, however, the heterogeneous nucleation of inorganic materials is desired in some medical applications, such as calcium phosphate (the main component of bone) formation on implant coating surfaces. It is usually considered as a descriptor indicating whether successful implant osseointegration has been achieved [263]. Golda-Cepa and co-workers [264] addressed experimentally and computationally the necessity of treatment of implant coating surfaces, i.e. parylene C surface, in promoting calcium phosphate formation. Due to the hydrophobicity native of parylene C surface, it is a challenge for calcium phosphate to nucleate and grow heterogeneously. According to the classical heterogeneous nucleation theory, a hydrophobic surface (contact angle greater than 90˚) does not offer a significant reduction of the free energy barrier. Consequently, it results in a relatively low calcium phosphate nucleation rate which is comparable with the homogeneous nucleation rate in the bulk solution. Even the calcium phosphate layer was formed on the surface, the poor adhesion of calcium phosphate to the parylene C surface would affect its performance. The strategy proposed by Golda-Cepa and co-workers [264] was to substitute 50-60% native −Cl groups on the parylene C surface with −OH groups using plasma treatment, which leads to increased wettability and biocompatibility of the surface. The hypothesis is that calcium phosphate formation on a plasma treated surface is much faster due to the relatively low energy barrier and high nucleation rate according to CNT. From the experimental characterisation results via SEM and contact angle measurements, it can be found that after the plasma treatment, the parylene C surface becomes rough in the nanoscale, with nanocorrugations in the range of 60-200 nm (Figure 41a), and hydrophilic (Figure 41b), with a water contact angle θW of 0.1° and the corresponding surface free energy (SFE) of 72.9 mJ/ m2 with 48.6 and 24.3 mJ/m2 polar (𝛾𝑝𝑠) and dispersive (𝛾𝑑𝑠) components, respectively. 64 Figure 41. Oxygen-plasma-modified parylene C surface: (A) SEM morphology, (B) polar and dispersive components of the SFE determined from the contact angle measurements [264]. From SEM images, it can be clearly seen that the morphologies and sizes of formed calcium phosphate particles varied on unmodified and plasma treated surfaces (Figure 42A). On unmodified parylene C surface, there are few, large crystallites with 1-3 μm in diameter, while on the plasma-treated surface, a more significant number of crystallites, with significantly smaller diameters of 200−500 nm, can be observed due to the higher nucleation rate (Figure 42B). The phenomena observed agree well with the classical crystal growth theory. Figure 42. (A) SEM images of calcium phosphate crystallites formed on unmodified and oxygen plasma-modified parylene C surfaces, (B) histograms quantifying the differences in size distribution of crystallites [264]. 65 7.5 Nano-safety by Design More and more promising nanomaterials have been introduced to our daily life. This action was accompanied by concerns on the nanotoxicity underlying effects of nanomaterials on animals and human beings [265]. In recent years, safe-by-design nanomaterials has become the subject of rapidly increasing interest in various research fields and a variety of strategies, including coating, size control, doping, grafting, loading, managing shape and crystallinity, and reduction of persistence, have been proposed to control and mitigate the potential hazards [266]. Among these, size control and managing shape and crystallinity need to be achieved via the control of nucleation and growth. One of the most used techniques for nanoparticle size control is the addition of ligands which affect both the nucleation (e.g. changing interfacial tension and thus nucleation rate) and growth (e.g. inhibiting particle growth due to agglomeration) [49,267] As mentioned above, gold nanoparticles (Ag NPs) are usually considered as biocompatible materials and widely used in healthcare industries [7]. However, whether ultrafine Au NPs, especially those used in bioimaging with the diameter less than 1 nm, directly affect neuronal development is still unclear. Recently, Hu and coworkers [268] adopted an X-ray assisted protocol [269] for the ultrafine Au NPs synthesis using mercaptoundecanoic acid (MUA) as the capping ligand. MUA, a longchain organic molecule with thiol groups, binds directly to Au. This interaction lowers the interfacial tension, leading to a smaller particle size in the nucleation stage (Equation Error! Reference source not found.) and prevents further growth of particles due to coalescence and agglomeration as described in non-classical growth theory. Size-dependent toxicity of Au NPs on C. elegans was also revealed by investigating the neuronal cell viability, as shown in Figure 43. It is found that axonal growth was significantly reduced by exposure to both bare and MUA coated Au NPs (Figure 43a), but no apparent size-dependent effects were observed within the size range investigated (6.45 ± 1.58 to 0.80 ± 0.12 nm). The effect on cell viability (using the MTT assay), however, was found to be size-dependent, indicating that decreasing particle size (i.e. increasing the MUA/Au NP ratio) decreases neuronal survival rate. 66 Figure 43. (a) Adverse effects on axonal growth upon exposure on Au NPs, and (b) Cellular viability of neurons exposed to Au NPs indicated that small Au NPs reduced neuronal cell viability. T-test: *p < 0.05, **p < 0.01. Error bars: ± SD. Compared with the size-dependent toxicity of nanomaterials, few studies have reported the influence of crystal structure on [266,270]. For example, titanium dioxide (TiO2) particles have been reported to present crystal structure dependent cytotoxicity [271] and genotoxicity [272]. As shown in Figure 44a, rutile nanoparticles (DJ3) showed no significant difference (p > 0.05) in toxicity from the control, whereas anatase nanoparticles (HR3) greatly inhibited algal growth by 70.5% at 1000 mgL−1. The results in Figure 44b indicate that treatments with anatase and rutile nanoparticles induced oxidative DNA damage, and a slightly higher level of oxidative DNA damage was detected when treated with a mixture of anatase and rutile nanoparticles. Figure 44. (a) Effects of oxide particles (1000 mgL−1) on algal growth as a function of alga survival under varied treatment compared to control. * and ** denote significant differences from the control at 95% and 99% confidence levels, respectively. The control was performed without particles [271]. (b) Induction of oxidative DNA damage by either the anatase or rutile forms alone in comparison to an anatase–rutile mixture. Cells embedded in gel on slides were treated for 1 h in total darkness with 20 μl of 10 μg/ml anatase-sized (200 nm) particles, or 20 μl of 10 μg/ml rutile-sized (200 nm) particles, or with a mixture of 10 μl each. The DNA strand breaks were analysed by comet assay with FPG digestion. *p < 0.001 compared to the untreated control; #0.05 > p > 0.001 compared with the anatase or rutile forms alone [272]. 67 Although different synthetic protocols have been developed to address the challenge of controlling TiO2 polymorphism, size, and morphology (Figure 45) [273,274], most of them are based on trial-and-error experience, methods based on the understanding of the formation mechanism are still very limited [275,276]. Kinsinger and co-workers [274] proposed a strategy to control the crystal structure of TiO2 by merely tuning the pH value. Titanium (IV) bis(ammonium lactato) dihydroxide (TiBALDH) was used as the precursor during the hydrothermal process. At near neutral pH conditions (e.g. pH = 7.8), rutile nanoparticles were the predominant phase as the organic ligands are relatively hydrolytically stable, leading to condensation through the corner-shared bonds. Both rutile and anatase nanoparticles were observed when increasing the pH value to 9. This phenomenon is due to the hydrolysis of organic ligands and condensation reactions through the corner-shared bonds, which are competing reactions. Further increasing the pH to 10 or 11, the hydrolysis rate of the organic ligands increases significantly, enabling condensation through edge-shared bonds, yielding anatase. The pH-dependent growth mechanisms were also revealed based on experimental findings. Due to the low solubility of crystallites at low pH values, nonclassical particle attachment based growth dominates the formation of rutile nanoparticles, while increasing the pH value to greater than 10, Ostwald ripening under the classical growth framework became the predominant growth mechanism due to the much higher solubility of TiO2 which favours the Ostwald ripening mechanism. The phenomena of broad size distribution with increasing reaction time supported the hypothesis of Ostwald ripening dominant growth. 68 Figure 45. TEM images of TiO2 synthesized at pH 7.8/150 ˚C (a-b). TEM images of rutile and anatase (circled) TiO2 crystals synthesized at pH 9/150 ˚C for (c) 12 h and (d) 72 h. Selected area diffraction patterns and d-spacing measurements (3.51 Å, (101) planes of anatase; 3.24 Å, (110) places of rutile) inserted for phase identification. TEM images of anatase TiO2 crystals synthesized at pH 11/150 ˚C for (e) 12 h and (f) 72 h [274]. 8. Summary and Outlook For decades, classical nucleation and growth theories are still the only models often invoked by both experimental and computational studies, as noted in all the case studies in Section 7. However, precise control and manipulation of the processes are increasingly important in order to produce low-dimensional solids of specific functionalities with defined structure, crystallinity, crystalline orientation, size, shape and/or the hosting environment, even from single atom upwards. Due to the complexity and sensitivity of the local free-energy landscape during nucleation and growth, classical theories are unable to consider the underlying mechanisms in sufficient detail. In the past three decades, numerous implications of non-classical nucleation and growth in diverse systems have emerged, followed by the development of non69 classical nucleation theories, such as two-step nucleation, pre-nucleation cluster and non-classical growth theories, i.e. involving particle attachment and aggregation. Nonetheless, many knowledge gaps and concerns remain. For instance, the two-step nucleation mechanism was obtained and mainly observed in a protein solution, while the pre-nucleation clusters concept was developed based on minerals, mainly calcium carbonate. The general applicability of the concepts for other systems need to be validated, which can then be coupled with CNT to generate a broad view of the mechanism of nucleation. The structures of solvent and ions as well as forces at solidsolution interfaces during growth by particle attachment are still unknown. The predictive power of these non-classical models will need to be tested in a wide context. To address these knowledge gaps and concerns, in-situ experimental approaches are critically important, as addressed in Section 5. More details of the cluster structure, composition, thermodynamic and kinetic influences of its evolution, to be observed under high temporal and spatial resolutions, will be needed using the state-of-art techniques, including in-situ LP-TEM and in-situ synchrotron X-ray techniques, as well as alternative platforms, such as microfluidic devices. Much improved understanding and control of the processes can be achieved by close coupling of experiment, simulation and even deep-learning techniques to pinpoint events at the atomic and microscopic levels during nucleation and growth [277]. Furthermore, after approximately 100 years of study on the topic, it is now highly significant to channel the knowledge and skills base from laboratory to factory for sustainable advancement of modern technologies. 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Chem Rev 2016;116:7078–116. https://doi.org/10.1021/acs.chemrev.5b00744. 100 Declaration of interests ☒ The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. ☐The authors declare the following financial interests/personal relationships which may be considered as potential competing interests: On behalf of all authors, I declare there is no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. Signed: (ZX Guo) ; Date: 30 July 2020 Ps. If all signatures are required, we can submit this later. This is to speed up the process. 101