Crystal Size Distribution Research Articles

CFD-population balance modelling for a flat sheet membrane-assisted antisolvent crystallization

A comprehensive model has been developed to couple CFD with the population balance equation (PBE) for a flat sheet membrane-assisted antisolvent crystallization (FS-MAAC) process. The model accurately depicts the fluid dynamics, mass transfer, heat transfer and crystal size distribution (CSD) in the FS-MAAC crystallizer. The crystallization system considered was to produce α-form crystals of glycine. The model investigates the effects of different parameters, such as the velocities of the crystallizing and antisolvent solutions, antisolvent composition, temperature, and gravity. A good agreement was observed between the simulation results and experimental data for the α-form crystals of glycine. The simulation results show a steady-state antisolvent concentration profile in the liquid layer and varied only in the z-direction. Regardless of the variations in the velocity of either the antisolvent solution or the crystallizing solution, the CSD remained narrow, with mean crystal sizes ranging from 27 to 40 μm. Furthermore, increasing mass transfer through the antisolvent transmembrane flux leads to a narrower CSD. Slower antisolvent permeation rates at higher temperatures also promote crystal growth. Also, a narrow CSD is maintained regardless of the initial circulation position of the antisolvent solution. In conclusion, membrane antisolvent crystallization provides a reliable and consistent solution for obtaining crystals with desired CSD under optimal operating conditions.

The evolution of crystal‐poor rhyolite in the middle Okinawa Trough and its implications for the state of magma chamber

The crystal‐poor rhyolitic pumice is the product of extreme magma differentiation and is characterized by highly vesicular, honeycomb‐like structure. However, little is known about the evolutionary history and the time of volatile saturation of the pumice‐forming melt. A crystal‐poor rhyolitic pumice (TVG7‐1) has been collected from the Yoron Hole hydrothermal field in the middle Okinawa Trough, a young continental margin back‐arc basin in the western Pacific. This study conducted a detailed analysis on the texture and in situ chemical composition of plagioclase, orthopyroxene and Fe‐Ti oxides to reveal the evolution process, storage state and eruption triggers of eruptible silicic melt. Texture and zoning of specific minerals and mineral populations suggest a magmatic evolution history of open system. Additionally, the hollow reentrant texture, as well as results from plagioclase‐liquid hygrometers, confirm a water‐rich melt pocket. The exsolution of volatiles (H2O, etc.), in this melt pocket, will contribute to local oxidation conditions, which may have been recorded by the concordant behaviour of FeO and An in plagioclase. Then, the overpressure caused by volatile exsolution would destabilize the magma chamber, which will eventually be broken by magma mixing/recharge, and lead to violent melt evacuation. Consequently, crystal size distribution (CSD) provides a new perspective on understanding the kinetic effect of magma mixing/recharge in the Okinawa Trough, especially on the mineral populations. Our study reveals the petrogenesis of crystal‐poor rhyolite within the framework of the mush model, refines the magma evolution history and demonstrates that pumice magma reaches volatile saturation before the eruption.

Recent Progress in Antisolvent Crystallization of Pharmaceuticals with a Focus on the Membrane‐Based Technologies

AbstractContinuous crystallization of pharmaceuticals has been in the center of attention during the past two decades, with a more focus on the large‐scale production of active pharmaceutical ingredients. The increasing demand for pharmaceuticals requires high‐throughput production of drug crystals with different solubilities, stabilities, shapes, habits, polymorphs, and size distributions. With numerous advantages including low cost, ease of scale‐up, and superior control over polymorph and size distribution of drug crystals, antisolvent crystallization is one of the most promising crystallization methods recently attempted. However, it fails to deliver the required characteristic where the crystal systems tend to grow and for the preparation of metastable polymorphs. This review focuses on the most recent efforts to tackle these drawbacks by coupling antisolvent crystallization with cooling, supercritical‐assisted, microfluidics‐assisted, and membrane‐assisted crystallization. This systematic review aims to provide a concise summary of each coupled antisolvent technique and their positive and negative aspects. This review can be used as a guideline for pharmacist, biologists, and chemists, who are interested in the crystal engineering of pharmaceuticals to pave the way for further developments in this field.

Effect of substituting Li2O with ZnO on the crystallization and properties of Li2O–Al2O3–SiO2 transparent glass ceramics

The transparent glass ceramic Li2O–Al2O3–SiO2 (LAS) was successfully prepared through a melting method. The impact of ZnO substitution for Li2O on the crystallization and properties of LAS glass ceramics was investigated. The results revealed that with the increase in ZnO substitution from 0% to 4%, the Q4 structural units in the base glass increased, reinforcing the integrity of the glass network structure. This led to an elevation in the glass transition temperature (from 533.5°C to 545.7°C), crystallization temperature (from 728.6°C to 832.3°C), and Vickers hardness (from 5.98 to 6.44 GPa). Additionally, the primary crystalline phases in the glass ceramics transformed from Li2Si2O5 and LiAlSi4O10 to cristobalite, and the multiphase crystalline structure transitioned to a single phase with a spherical morphology of the crystalline grains. The discussion delved into the size distribution of crystals in the glass ceramics, revealing that the increase in ZnO content refined the size and homogenized the distribution of the cristobalite crystals. Glass ceramics with 0% and 4% ZnO substitution, nucleated at 570°C for 4 h and crystallized at 700°C for 2 h, yielded lithium disilicate glass ceramic and cristobalite glass ceramic, respectively, with maximum transmittances (at 550 nm) of 86.92% and 88.79%. The study indicated that the type and size of precipitated crystalline phases significantly influenced the whiteness of the glass ceramics, with minimal impact on other color parameters. Moreover, the presence of fine grains in the glass ceramics, compared with the base glass, imparted a higher hardness. The addition of ZnO exhibited an increasing trend in the toughness of the glass ceramics. At a ZnO substitution of 4% and a crystallization temperature of 700°C, the glass ceramic with cristobalite as the crystalline phase demonstrated optimal comprehensive performance.

Emplacement of shergottites in the Martian crust inferred from three‐dimensional petrofabric and crystal size distribution analyses

AbstractShergottites are mafic to ultramafic igneous rocks that represent the majority of known Martian meteorites. They are subdivided into gabbroic, poikilitic, basaltic, and olivine–phyric categories based on differences in mineralogy and textures. Their geologic contexts are unknown, so analyses of crystal sizes and preferred orientations have commonly been used to infer where shergottites solidified. Such environments range from subsurface cumulates to shallow intrusives to extrusive lava flows, which all have contrasting implications for interactions with crustal material, cooling histories, and potential in situ exposure at the surface. In this study, we present a novel three‐dimensional (3‐D) approach to better understand the solidification environments of these samples and improve our knowledge of shergottites' geologic contexts. Shape preferred orientations of most phases and crystal size distributions of late‐forming minerals were measured in 3‐D using X‐ray computed tomography (CT) on eight shergottites representing the gabbroic, poikilitic, basaltic, and olivine–phyric categories. Our analyses show that highly anisotropic, rod‐like pyroxene crystals are strongly foliated in the gabbroic samples but have a weaker foliation and a mild lineation in the basaltic sample, indicating a directional flow component in the latter. Star volume distribution analyses revealed that most phases (maskelynite, pyroxene, olivine, and oxides/sulfides) preserve a foliated texture with variable strengths, and that the phases within individual samples are strongly to moderately aligned with respect to one another. In combination with relative cooling rates during the final stages of crystallization determined from interstitial oxide/sulfide crystal size distribution analyses, these results indicate that the olivine–phyric samples were emplaced as shallow intrusives (e.g., dikes/sills) and that the gabbroic, poikilitic, and basaltic samples were emplaced in deeper subsurface environments.

Efficient estimation of crystal filterability using the discrete element method and the Kozeny-Carman equation

A new method is proposed for efficiently predicting filter cake resistance as a function of crystal size distribution. The method is useful for the preliminary design of processes where an economic tradeoff is encountered between a crystallization step and a filtration step. In that case it is necessary to estimate the filter cake resistance repeatedly as a function of crystal size distribution for the process design and optimization. The method is faster than CFD-DEM and more precise than the random packing assumption. The proposed method is validated using published experimental data. To demonstrate the proposed method, an integrated crystallization-filtration process of ammonium alum is simulated and analyzed. The results show that by increasing the residence time of ammonium alum crystals in the crystallizer from 15 min to 60 min, the crystal cake resistance can be reduced by 42% and the filter area can be reduced by 23%.

Synergistic mechanism of steam blanching and freezing conditions on the texture of frozen yellow peaches based on macroscopic and microscopic properties.

Freezing and blanching are essential processing steps in the production of frozen yellow peaches, inevitably leading to texture softening of the fruit. In this study, the synergistic mechanism of stem blanching, freezing conditions (-20°C, -40°C, -80°C, and liquid nitrogen [-173°C]), and sample sizes (cubes, slices, and half peaches) on macroscopic properties of texture, cellular structure, and ice crystal size distribution of frozen yellow peaches were measured. Blanching enhanced the heat and mass transfer rates in the subsequent freezing process. For nonblanched samples, cell membrane integrity was lost at any freezing rate, causing a significant reduction in textural quality. Slow freezing further exacerbated the texture softening, while the ultra-rapid freezing caused structural rupture. For blanched samples, the half peaches softened the most. The water holding capacity and fracture stress were not significantly affected by changes in freezing rate, although the ice crystal size distribution was more susceptible to the freezing rate. Peach cubes that had undergone blanching and rapid freezing (-80°C) experienced 4% less drip loss than nonblanched samples. However, blanching softened yellow peaches more than any freezing conditions. The implementation of uniform and shorter duration blanching, along with rapid freezing, has been proven to be more effective in preserving the texture of frozen yellow peaches. Optimization of the blanching process may be more important than increasing the freezing rate to improve the textural quality of frozen yellow peaches.

Assessing phosphorus recovery from anaerobic digestion effluent of tapioca starch processing in a pilot – scale fluidized – bed homogeneous crystallizer: Effects of operation modes

This present study aimed to investigate the effects of two crystallization operation modes, batchwise operation (BO) and continuous operation (CO), on P recovery efficiency and characteristics of precipitates in a pilot – scale fluidized – bed homogenous crystallizer, using real anaerobic digestion (AD) effluent derived from tapioca starch processing as influent. Characterization techniques, including SEM – EDX, powder XRD, profile – matching, FT – IR, and crystal size distribution (CSD) analysis, were employed to identify phase compositions. Additionally, the purity and %P content of the target product were quantified using principles of hierarchical equilibrium thermodynamics and elemental analysis. As a result, the highest P recovery efficiency was 72.5 % for BO and 83.2 % for CO at a pH of 9 and a mixing rate of 400 rpm. Phase identification results revealed that struvite formed with Ca – rich solids, such as hydroxyapatite (HAP), notably exhibited higher impurity levels originating from CO modes. Precipitates from BO modes predominantly held 65 – 75 % struvite, with %P content ranging from 7.4 to 13.1 % — surpassing that of single superphosphate fertilizer (SSP, 18 – 22 % as P2O5), resulting in a suitable process in this study. Moreover, results obtained from the cost – benefit analysis (CBA) highlighted that BO scenario had economic viability (NP +0.05 to +1.53) with an estimate production cost of 3.47 USD/kg Premoved. Hence, the findings not only indicated that real AD effluent is suitable for P recovery, yielding high – quality struvite products, but also contribute to understanding the nuanced impact of crystallization modes on recovery yields and characteristics. This insight is invaluable for optimizing the process, leading to environmental benefits through reduced P and nitrogen discharge.

The influence of olivine settling on the formation of basaltic cumulates revealed by micro-tomography and numerical simulations

The speed at which crystals settle in magmatic reservoirs affects the solidification rate of magmas and their differentiation. Despite extensive prior work on the subject, most of our quantitative understanding of the process is still restricted to treating crystals as spherical particles and does not address the geometric complexities of natural crystals. Here, we use three-dimensional (3D) X-ray microcomputed tomography (X-μCT) observations on olivine crystals from Kīlauea Volcano (Hawai‘i) to document their highly intricate and variable geometries, and the textural growth relationships between the olivine crystals and their inclusions (melt, spinel, and fluid/vapor bubbles). Olivine crystals generally have clustered polyhedral or skeletal shapes, which reflect variable magmatic conditions (or growth rates) during their formation. The cumulative presence of spinel, melt, fluid, and vapor inclusions affects the density of the host crystals by up to 6% relative, and thus plays a limited role on modifying crystal settling rate. In contrast, the overall crystal shape plays a major role. We performed numerical simulations employing a finite element method to investigate the effect of crystal morphology on settling rate and the evolution of the particle volume fraction in a magmatic convective layer. We show that for all olivine geometries investigated, the settling velocity is highest when the long axis of the crystal is aligned with the flow direction of the melt. Increasing the aspect ratio of the olivine tends to decrease its settling velocity and results in an increase in the influence of its orientation on the terminal velocity (UT). Extrapolation of the simulation results to variable particle volume fractions (Φ = 0–0.5) indicates high crystal settling rates (UT = ∼9.7 × 10−6–1.4 × 10−5 m/s) that are used to estimate the timescales for the formation of olivine cumulates in natural melt-dominated basaltic systems. The formation of olivine cumulates is therefore rapid, potentially leading to the accumulation of a crystal layer at the bottom, where the frictional contacts between the crystals exert a rheological lock-up acting against further convection. Crystal accumulation in the locked layer (parametrized with the solid/liquid volume ratio in the reservoir) is a function of the reservoir size and crystal fraction, and takes a few years in small reservoirs (<1 km thick) and a few decades in larger reservoirs (several kms thick). We propose a calibration of olivine suspension timescales for mafic magma reservoirs (based on the knowledge of the particle volume fraction, reservoir height, and olivine morphology). This calibration is used to estimate the rate of cumulate build-up, and can help interpret crystal size distributions in the framework of crystal suspension times.

Magnesium source with function of slowly releasing Mg and pH control for impurity-resistance synthesis ultra-large struvite from wastewater

Struvite (MgNH4PO4·6H2O, Magnesium ammonium phosphate, MAP), recovered from wastewater, has potential application as a slow-release fertilizer. However, crystal size distribution (CSD) of recovered MAP typically lied in the range of 50–300 μm, due to fast nucleation rate and notably narrow metastable zone width (MSZW) of MAP, with purity levels 40–90 %. In order to control the rate of nucleation, a novel magnesium source with the form of MgHPO4·3H2O wrapped with Mg(OH)2 was prepared, referred to as P-3. This compound gradually released Mg2+ and PO43−, regulating solution concentration kept in MSZW to promote crystal growth. The inherent Mg(OH)2 within P-3 also acted as a pH regulator in wastewater, eliminating the necessity for additional acid or alkali adjustments during crystallization process. The MAP precipitated by P-3 exhibited an impressive CSD of 5000–7000 μm, with a maximum size reaching 10,000 μm. This represented the largest CSD reported in literature for recovered MAP from wastewater. The significance of the ultra-large MAP precipitated by P-3 lied in its enhanced resistance to impurity adsorption, resulting in MAP with a remarkable purity 97 %, under conditions of low heavy metal ion concentration approximately 5 mg/L. Furthermore, the removal efficiency of ammonia nitrogen (NH4+) can reach 92 %. In comparison, two other magnesium sources, soluble salts (MgCl2 and Na2HPO4, P-1) and a combination of insoluble salts (Mg(OH)2 and MgHPO4, P-2) were evaluated alongside P-3. The CSD of MAP precipitated from P-1, P-2 was both <100 μm, with purity levels of 90 and 92 % and NH4+ removal efficiency of 92 and 90 %, respectively. Importantly, the strategy of obtaining ultra-large size MAP from wastewater in this study provided novel insights into the crystallization of other insoluble salts with large sizes.

Uncertainty analysis of seed recipe for optimal control of crystal size distribution in batch cooling crystallization

Seed recipe is known to directly impact crystal growth behavior and product performance in crystallization processes. However, effectively evaluating and reducing the uncertain influence of seed recipe on product consistency in batch crystallization is challenging. This paper utilizes uncertainty analyses based on the population balance model to evaluate the impact of seed recipe destabilization. Monte Carlo simulation (MCS) was employed as a direct and efficient method to quantify the risk of failing to achieve the desired product crystal size distribution (CSD). Sensitivity analysis was conducted by integrating the modified Morris method with the PAWN method to analyze the effects of individual parameters and all parameters in the seed recipe from local and global perspectives. To achieve the targeted product CSD in the presence of seed recipe uncertainties, a novel linear weighted multi-objective function was developed to establish the optimal cooling profile, which was optimized by the enhanced particle swarm optimization (PSO) algorithm. The results demonstrated that even under seed recipe uncertainties, the targeted product CSD can be achieved with minimal error through cooling profile optimization alone, without dissolution.

Multivariate population balance modeling and simulation of ultrasound-assisted crystallization of a plate-type pharmaceutical: Nucleation, growth, and breakage

The application of ultrasound is recently gaining significant interest in crystallization because of its significant impact on nucleation and growth rates, particle breakage, crystal habit, polymorphism, and crystal size distribution. Pyrazinamide, an essential drug for the treatment of mycobacterium tuberculosis, has four different polymorphic forms. The metastable δ-polymorph exhibit plate-type habit which is desirable for downstream operations compared to commercially available needle-type α-polymorph. This contribution presents a detail experimental and computational study on the effect of ultrasound and its amplitude on nucleation, growth, and breakage of crystals for unseeded batch cooling sonocrystallization of δ-polymorph of pyrazinamide from its 1,4-dioxane solution. A series of sonocrystallization experiments are conducted with different cooling rates and ultrasonic amplitudes and a bivariate population balance model involving crystal nucleation, growth, and breakage is developed and fully validated. The model simulations give important insights on time evolution of mean crystal size and aspect ratio of plate-type crystals.

The Impact of Gravity Waves on the Evolution of Tropical Anvil Cirrus Microphysical Properties

AbstractAnvil cirrus generated by deep convection covers large fractions of the tropics and has important impacts on the Earth's radiation budget and climate. In situ measurements made with high‐altitude aircraft indicate a rapid transition in ice crystal size distributions and habits as anvil cirrus ages. We use numerical simulations to investigate the impact of high‐frequency gravity waves on the evolution of anvil cirrus microphysical properties. The impacts of both monochromatic gravity waves and ubiquitous stochastic mesoscale temperature fluctuations are simulated. In both cases, the interplay between wave‐driven temperature fluctuations, deposition growth/sublimation, and sedimentation causes accelerated removal of both small ice crystals (diameters less than about 10 μm) and large crystals (diameters larger than ≈30 μm). These changes are consistent with the observed evolution of anvil cirrus microphysical properties. The Kelvin effect (higher saturation vapor pressure over curved surfaces) is a critical factor in the anvil evolution, driving mass transfer from small to large ice crystals. The wave‐driven decrease in ice concentration is much faster for typical anvil cirrus detrained at ≃11.5–12.5 km than for less frequent anvils at 15.5–17.5 km because of the strong temperature dependence of deposition growth and sublimation rates. The simulations also show that waves, along with the Kelvin effect, drive growth of mid‐sized (5–20 μm) ice crystals, which is consistent with the observed transition to bullet rosette habits in aging anvil cirrus. We conclude that high‐frequency gravity waves, which are generally not resolved in large‐scale models, likely have important impacts on anvil cirrus microphysical properties and lifetimes.

Euler’s First-Order Explicit Method–Peridynamic Differential Operator for Solving Two-Dimensional Population Balance Equations in Crystallization

The population balance equations (PBEs) serve as the primary governing equations for simulating the crystallization process. Two-dimensional (2D) PBEs pertain to crystals that exhibit anisotropic growth, which is characterized by changes in two internal coordinates. Because PBEs are the hyperbolic equations, it becomes imperative to establish a high-resolution scheme to reduce numerical diffusion and numerical dispersion, thereby ensuring accurate crystal size distribution. This paper uses Euler’s first-order explicit (EE) method–Peridynamic Differential Operator (PDDO) to solve 2D PBE, namely, the EE method for discretizing the time derivative and the PDDO for discretizing the internal crystal-size derivative. Five examples, including size-independent growth with smooth and non-smooth distributions, size-dependent growth, nucleation, and size-independent/dependent growth for batch crystallization are considered. The results show that the EE–PDDO method is more accurate than the HR method and that it is as good as the fifth-order Weighted Essential Non-Oscillatory (WENO) method in solving 2D PBE. This study extends the EE–PDDO method to the simulation of 2D PBE, and the advantages of the EE-PDDO method in dealing with discontinuous and sharp front problems are demonstrated.

Preliminary Result on Optimum Seed Generation Bandwidth for Object-Based Image Segmentation (OBIS) of Porphyritic Igneous Thin Sections

Crystal size distribution (CSD) analysis is one of many methods for studying the crystallization history of magma. It involves labor-intensive digitation of all crystals, which may prolong the processing of large data sets. This study presents a preliminary result of Object-Based Image Segmentation (OBIS) as a semi-automatic approach in crystal digitation. Five data sets containing 9 photomicrographs of porphyritic igneous rock thin sections were processed using SAGA GIS. The procedure produced an optimum bandwidth equation of y = 38.455 ln(x) + 114, where x is the average size of sampled crystal in mm. Segmentation tests on another sample using the formula returned good and consistent results with important notes on sensitivity to textures which may result in crystal segment separation, such as fractures, veins, and sieve, as well as the inability to separate all groundmass crystals. Even though it shows good results, this formula only applies where the pixel-to-length conversion factor of 562.2 pixel/mm. Keywords: OBIS, SAGA GIS, Optimum bandwidth, Photomicrograph, Porphyritic igneous rock thin section.

Exploring the separation properties of high-Si CHA membranes for the CO2 capturing technology: Impact of the selective layer thickness and growth mechanism

This study investigates the influence of the CHA selective layer's thickness, coated on a mono-channel alumina support using the secondary growth method, on the performance of CO2 separation from CH4. The membrane layer's thickness was explored by adjusting the concentration and duration of the seeding process, as well as the distribution of crystal size in the suspension. Single gas analysis results revealed that utilizing smaller crystal seeds, with an average crystallite size of approximately 600 nm, exhibited the highest performance. Furthermore, a membrane thickness of 2.1 μm demonstrated an ideal CO2/CH4 permselectivity of 205 with a CO2 permeance of 2.39 x 10-6 [mol/(m2sPa)]. For the equimolar CO2 - CH4 gas mixture, the high-Si membrane displayed a CO2/CH4 selectivity of 210 with a CO2 permeance of 8.06 x 10-7 [mol/(m2sPa)]. In both gas permeation measurement, CO2 permeance exhibited a slight linear decrease with increasing thickness, while CH4 permeance initially decreased and then increased non-linearly.

An open-source robust machine learning platform for real-time detection and classification of 2D material flakes

The most widely used method for obtaining high-quality two-dimensional (2D) materials is through mechanical exfoliation of bulk crystals. Manual identification of suitable flakes from the resulting random distribution of crystal thicknesses and sizes on a substrate is a time-consuming, tedious task. Here, we present a platform for fully automated scanning, detection, and classification of 2D materials, the source code of which we make openly available. Our platform is designed to be accurate, reliable, fast, and versatile in integrating new materials, making it suitable for everyday laboratory work. The implementation allows fully automated scanning and analysis of wafers with an average inference time of 100 ms for images of 2.3 Mpixels. The developed detection algorithm is based on a combination of the flakes’ optical contrast toward the substrate and their geometric shape. We demonstrate that it is able to detect the majority of exfoliated flakes of various materials, with an average recall (AR50) between 67% and 89%. We also show that the algorithm can be trained with as few as five flakes of a given material, which we demonstrate for the examples of few-layer graphene, WSe2, MoSe2, CrI3, 1T-TaS2 and hexagonal BN. Our platform has been tested over a two-year period, during which more than 106 images of multiple different materials were acquired by over 30 individual researchers.

The Effect of Three Factors Interaction on the Size Distribution of White Sugar Crystals in the Batch Vacuum Pan

Crystal size disribution is a parameter used to indicate the quality of sugar crystals obtained from the crystallization process. The better the crystal size distribution, the better the quality of the sugar crystals produced. The good quality of sugar crystals has an impact on the easier separation process that will occur in the centrifugal machine and can reduce sugar loss both in the centrifugal machine and in the sugar grader. The purpose of this study is to determine the effect of the number of sugar seeds, the quality of the mother liquor and the length of time used in the crystallization process on the quality of white sugar crystals produced in the Batch Vacuum Pan and to obtain the best interaction from several levels used for each factor, which can be used as a reference for producing sugar products that have crystal size distribution values according to the desired standard. Each treatment was carried out twice. Observations were made on material characteristics (brix, pol, and purity) and product sugar characteristics (average crystal size and coefficient of variation of crystal size). Measurement of the characteristics of sugar using a sieving (granulometer) which is then calculated using the ICUMSA GS2-37 method. The influence of factor’s main effect and interaction were analyzed using analysis of variance at the level of p value ≤ 0.05. Further tests for each factor’s main effect and interaction with p values ≤ 0.05 were carried out using the Duncan Multiple Range Test (DMRT). The best distribution of sugar crystal size was obtained from the interaction of sugar seed factors with levels of 3 m3, 5 m3, or 10 m3 which interacted with the quality factor of mother liquor (fine liquor + 0 m3 molasses), and 2 hours of cooking time, Where the results of the interaction of this factor produce a percentage of sugar with a size larger than 0.8 mm as much as 80%.

Prediction of temperature-dependent nucleation and growth rates from crystallization-related heat release.

We propose a method for determining the time and, therefore, temperature-dependent relative nucleation and growth rates during crystallization. We do so by linking the partial differential equationgoverning the time dynamics of the crystal size distribution to kinetic (Avrami) parameters describing heat release. This approach is tested in silico by nucleating and growing diffusion limited aggregates with time-varying morphology and growth rates unhindered by impingement. The associated heat release is analyzed, showing that nucleation and growth rates could be extracted with high fidelity.

PEGDA hydrogel microspheres with encapsulated salt for versatile control of protein crystallization

Due to their biocompatibility and adjustable chemical structure and morphology, hydrogels have great potential in many applications, and can be used to enhance protein crystal quality and crystallization efficiency, contributing to biomedicine manufacturing. Monodispersed PEGDA hydrogel microspheres (HMSs) were synthesized using a Lego-inspired microfluidic device. The generated droplets were then UV polymerized, partially hydrolyzed with 0.1 M NaOH solution to improve their absorption capacity, and soaked in a buffer solution containing 0, 0.5, 1, 2, and 4 M NaCl. Salt-loaded HMSs were used as the medium for the enhanced crystallization of hen egg white lysozyme from aqueous solutions. Different supersaturations were achieved in the protein solutions by releasing NaCl of different concentrations from HMSs, as confirmed by electrical conductivity measurements. HMSs with or without NaCl can both provide heterogeneous nucleation sites due to their nano-porous structure and wrinkled surface. The addition of NaCl-loaded HMSs to the protein solution can also increase or decrease the supersaturation in the whole solution or locally near the HMS, leading to controllable nucleation time and crystal size distribution dependent on the NaCl concentration loaded into HMSs.