Crystallization - a Primer (With Pictures and Minimal Equations)
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Colloidal Crystallization: Nucleation and Growth
Colloidal Crystallization: Nucleation and Growth Dave Weitz Harvard Urs Gasser Konstanz Andy Schofield Edinburgh Rebecca Christianson Harvard Peter Pusey Edinburgh Peter Schall Harvard Frans Spaepen Harvard Eric Weeks Emory John Crocker UPenn •Colloids as model systems – soft materials •Nucleation and growth of colloidal crystals •Defect growth in crystals •Binary Alloy Colloidal Crystals NSF, NASA http://www.deas.harvard.edu/projects/weitzlab EMU 6/7//04 Colloidal Crystals Colloids 1 nm - 10 µm solid particles in a solvent Ubiquitous ink, paint, milk, butter, mayonnaise, toothpaste, blood Suspensions can act like both liquid and solid Modify flow properties Control: Size, uniformity, interactions Colloidal Particles •Solid particles in fluid •Hard Spheres •Volume exclusion •Stability: •Short range repulsion •Sometimes a slight charge Colloid Particles are: •Big Slow •~ a ~ 1 micron • τ ~ a2/D ~ ms to sec •Can “see” them •Follow individual particle dynamics Model: Colloid Æ Atom Phase Behavior Colloids Atomic Liquids U U s s Hard Spheres Leonard-Jones Osmotic Pressure Attraction Centro-symmetric Centro-symmetric Thermalized: kBT Thermalized: kBT Gas Gas Liquid Density Liquid Solid Solid Phase behavior is similar Hard Sphere Phase Diagram Volume Fraction Controls Phase Behavior liquid - crystal liquid coexistence crystal 49% 54% 63% 74% φ maximum packing maximum packing φRCP≈0.63 φHCP=0.74 0 Increase φ => Decrease Temperature F = U - TS Entropy Drives Crystallization 0 Entropy => Free Volume F = U - TS Disordered: Ordered: •Higher configurational -
Entropy and the Tolman Parameter in Nucleation Theory
entropy Article Entropy and the Tolman Parameter in Nucleation Theory Jürn W. P. Schmelzer 1 , Alexander S. Abyzov 2 and Vladimir G. Baidakov 3,* 1 Institute of Physics, University of Rostock, Albert-Einstein-Strasse 23-25, 18059 Rostock, Germany 2 National Science Center Kharkov Institute of Physics and Technology, 61108 Kharkov, Ukraine 3 Institute of Thermal Physics, Ural Branch of the Russian Academy of Sciences, Amundsen Street 107a, 620016 Yekaterinburg, Russia * Correspondence: [email protected]; Tel.: +49-381-498-6889; Fax: +49-381-498-6882 Received: 23 May 2019; Accepted: 5 July 2019; Published: 9 July 2019 Abstract: Thermodynamic aspects of the theory of nucleation are commonly considered employing Gibbs’ theory of interfacial phenomena and its generalizations. Utilizing Gibbs’ theory, the bulk parameters of the critical clusters governing nucleation can be uniquely determined for any metastable state of the ambient phase. As a rule, they turn out in such treatment to be widely similar to the properties of the newly-evolving macroscopic phases. Consequently, the major tool to resolve problems concerning the accuracy of theoretical predictions of nucleation rates and related characteristics of the nucleation process consists of an approach with the introduction of the size or curvature dependence of the surface tension. In the description of crystallization, this quantity has been expressed frequently via changes of entropy (or enthalpy) in crystallization, i.e., via the latent heat of melting or crystallization. Such a correlation between the capillarity phenomena and entropy changes was originally advanced by Stefan considering condensation and evaporation. It is known in the application to crystal nucleation as the Skapski–Turnbull relation. -
Bottom-Up Self-Assembly Based on DNA Nanotechnology
nanomaterials Review Bottom-Up Self-Assembly Based on DNA Nanotechnology 1, 1, 1 1 1,2,3, Xuehui Yan y, Shujing Huang y, Yong Wang , Yuanyuan Tang and Ye Tian * 1 College of Engineering and Applied Sciences, State Key Laboratory of Analytical Chemistry for Life Science, Nanjing University, Nanjing 210023, China; [email protected] (X.Y.); [email protected] (S.H.); [email protected] (Y.W.); [email protected] (Y.T.) 2 Shenzhen Research Institute of Nanjing University, Shenzhen 518000, China 3 Chemistry and Biomedicine Innovation Center, Nanjing University, Nanjing 210023, China * Correspondence: [email protected] These authors contributed equally to this work. y Received: 9 September 2020; Accepted: 12 October 2020; Published: 16 October 2020 Abstract: Manipulating materials at the atomic scale is one of the goals of the development of chemistry and materials science, as it provides the possibility to customize material properties; however, it still remains a huge challenge. Using DNA self-assembly, materials can be controlled at the nano scale to achieve atomic- or nano-scaled fabrication. The programmability and addressability of DNA molecules can be applied to realize the self-assembly of materials from the bottom-up, which is called DNA nanotechnology. DNA nanotechnology does not focus on the biological functions of DNA molecules, but combines them into motifs, and then assembles these motifs to form ordered two-dimensional (2D) or three-dimensional (3D) lattices. These lattices can serve as general templates to regulate the assembly of guest materials. In this review, we introduce three typical DNA self-assembly strategies in this field and highlight the significant progress of each. -
Heterogeneous Nucleation of Water Vapor on Different Types of Black Carbon Particles
https://doi.org/10.5194/acp-2020-202 Preprint. Discussion started: 21 April 2020 c Author(s) 2020. CC BY 4.0 License. Heterogeneous nucleation of water vapor on different types of black carbon particles Ari Laaksonen1,2, Jussi Malila3, Athanasios Nenes4,5 5 1Finnish Meteorological Institute, 00101 Helsinki, Finland. 2Department of Applied Physics, University of Eastern Finland, 70211 Kuopio, Finland. 3Nano and Molecular Systems Research Unit, 90014 University of Oulu, Finland. 4Laboratory of Atmospheric Processes and their Impacts, School of Architecture, Civil & Environmental Engineering, École 10 Polytechnique Federale de Lausanne, 1015, Lausanne, Switzerland 5 Institute of Chemical Engineering Sciences, Foundation for Research and Technology Hellas (FORTH/ICE-HT), 26504, Patras, Greece Correspondence to: Ari Laaksonen ([email protected]) 15 Abstract: Heterogeneous nucleation of water vapor on insoluble particles affects cloud formation, precipitation, the hydrological cycle and climate. Despite its importance, heterogeneous nucleation remains a poorly understood phenomenon that relies heavily on empirical information for its quantitative description. Here, we examine heterogeneous nucleation of water vapor on and cloud drop activation of different types of soots, both pure black carbon particles, and black carbon particles mixed with secondary organic matter. We show that the recently developed adsorption nucleation theory 20 quantitatively predicts the nucleation of water and droplet formation upon particles of the various soot types. A surprising consequence of this new understanding is that, with sufficient adsorption site density, soot particles can activate into cloud droplets – even when completely lacking any soluble material. 1 https://doi.org/10.5194/acp-2020-202 Preprint. Discussion started: 21 April 2020 c Author(s) 2020. -
Optimal Operation of an Integrated Bioreaction–Crystallization Process
中国科技论文在线 http://www.paper.edu.cn Chemical Engineering Science 56 (2001) 6165–6170 www.elsevier.com/locate/ces Optimal operation ofan integrated bioreaction–crystallization process for continuous production of calcium gluconate using external loop airlift columns Jie Baoa, Kenichi Koumatsua, Keiji Furumotob, Makoto Yoshimotoa, Kimitoshi Fukunagaa, Katsumi Nakaoa; ∗ aDepartment of Applied Chemistry and Chemical Engineering, Yamaguchi University, Tokiwadai, Ube, Yamaguchi 755-8611, Japan bOshima National College of Maritime Technology, Oshima, Yamaguchi 742-2106, Japan Abstract A kinetic model was proposed to optimize the integrated bioreaction–crystallization process newly developed for production of calcium gluconate crystals using external loop airlift columns. The optimal operating conditions in the bioreactor were determined using an objective function deÿned to maximize the productivity as well as to minimize biocatalyst loss. The optimization of the crystallizer was carried out by matching the crystallization rate to the optimal production rate in the bioreactor because the bioreaction was found to be the rate controlling process. The calcium gluconate productivity under the optimal conditions of the integrated process was obtained by the simulation based on the process model. The productivity ofthe proposed process was found to be comparable to that ofthe current batch fermentationprocess. ? 2001 Elsevier Science Ltd. All rights reserved. Keywords: Process kinetic model; Optimization; Calcium gluconate; Bioreaction–crystallization -
The Role of Latent Heat in Heterogeneous Ice Nucleation
EGU21-16164, updated on 02 Oct 2021 https://doi.org/10.5194/egusphere-egu21-16164 EGU General Assembly 2021 © Author(s) 2021. This work is distributed under the Creative Commons Attribution 4.0 License. The role of latent heat in heterogeneous ice nucleation Olli Pakarinen, Cintia Pulido Lamas, Golnaz Roudsari, Bernhard Reischl, and Hanna Vehkamäki University of Helsinki, INAR/Physics, University of Helsinki, Finland ([email protected]) Understanding the way in which ice forms is of great importance to many fields of science. Pure water droplets in the atmosphere can remain in the liquid phase to nearly -40º C. Crystallization of ice in the atmosphere therefore typically occurs in the presence of ice nucleating particles (INPs), such as mineral dust or organic particles, which trigger heterogeneous ice nucleation at clearly higher temperatures. The growth of ice is accompanied by a significant release of latent heat of fusion, which causes supercooled liquid droplets to freeze in two stages [Pruppacher and Klett, 1997]. We are studying these topics by utilizing the monatomic water model [Molinero and Moore, 2009] for unbiased molecular dynamics (MD) simulations, where different surfaces immersed in water are cooled below the melting point over tens of nanoseconds of simulation time and crystallization is followed. With a combination of finite difference calculations and novel moving-thermostat molecular dynamics simulations we show that the release of latent heat from ice growth has a noticeable effect on both the ice growth rate and the initial structure of the forming ice. However, latent heat is found not to be as critically important in controlling immersion nucleation as it is in vapor-to- liquid nucleation [Tanaka et al.2017]. -
Using Supercritical Fluid Technology As a Green Alternative During the Preparation of Drug Delivery Systems
pharmaceutics Review Using Supercritical Fluid Technology as a Green Alternative During the Preparation of Drug Delivery Systems Paroma Chakravarty 1, Amin Famili 2, Karthik Nagapudi 1 and Mohammad A. Al-Sayah 2,* 1 Small Molecule Pharmaceutics, Genentech, Inc. So. San Francisco, CA 94080, USA; [email protected] (P.C.); [email protected] (K.N.) 2 Small Molecule Analytical Chemistry, Genentech, Inc. So. San Francisco, CA 94080, USA; [email protected] * Correspondence: [email protected]; Tel.: +650-467-3810 Received: 3 October 2019; Accepted: 18 November 2019; Published: 25 November 2019 Abstract: Micro- and nano-carrier formulations have been developed as drug delivery systems for active pharmaceutical ingredients (APIs) that suffer from poor physico-chemical, pharmacokinetic, and pharmacodynamic properties. Encapsulating the APIs in such systems can help improve their stability by protecting them from harsh conditions such as light, oxygen, temperature, pH, enzymes, and others. Consequently, the API’s dissolution rate and bioavailability are tremendously improved. Conventional techniques used in the production of these drug carrier formulations have several drawbacks, including thermal and chemical stability of the APIs, excessive use of organic solvents, high residual solvent levels, difficult particle size control and distributions, drug loading-related challenges, and time and energy consumption. This review illustrates how supercritical fluid (SCF) technologies can be superior in controlling the morphology of API particles and in the production of drug carriers due to SCF’s non-toxic, inert, economical, and environmentally friendly properties. The SCF’s advantages, benefits, and various preparation methods are discussed. Drug carrier formulations discussed in this review include microparticles, nanoparticles, polymeric membranes, aerogels, microporous foams, solid lipid nanoparticles, and liposomes. -
Thermodynamics and Kinetics of Binary Nucleation in Ideal-Gas Mixtures
1 Thermodynamics and kinetics of binary nucleation in ideal-gas mixtures Nikolay V. Alekseechkin Akhiezer Institute for Theoretical Physics, National Science Centre “Kharkov Institute of Physics and Technology”, Akademicheskaya Street 1, Kharkov 61108, Ukraine Email: [email protected] Abstract . The nonisothermal single-component theory of droplet nucleation (Alekseechkin, 2014) is extended to binary case; the droplet volume V , composition x , and temperature T are the variables of the theory. An approach based on macroscopic kinetics (in contrast to the standard microscopic model of nucleation operating with the probabilities of monomer attachment and detachment) is developed for the droplet evolution and results in the derived droplet motion equations in the space (V , x,T) - equations for V& ≡ dV / dt , x& , and T& . The work W (V , x,T) of the droplet formation is calculated; it is obtained in the vicinity of the saddle point as a quadratic form with diagonal matrix. Also the problem of generalizing the single-component Kelvin equation for the equilibrium vapor pressure to binary case is solved; it is presented here as a problem of integrability of a Pfaffian equation. The equation for T& is shown to be the first law of thermodynamics for the droplet, which is a consequence of Onsager’s reciprocal relations and the linked-fluxes concept. As an example of ideal solution for demonstrative numerical calculations, the o-xylene-m-xylene system is employed. Both nonisothermal and enrichment effects are shown to exist; the mean steady-state overheat of droplets and their mean steady-state enrichment are calculated with the help of the 3D distribution function. -
Crystallization in Patterns: a Bio-Inspired Approach**
PROGRESS REPORTS Crystallization in Patterns: A Bio-Inspired Approach** By Joanna Aizenberg* Nature produces a wide variety of exquisite, highly functional mineralized tissues using simple inorganic salts. Biomineralization occurs within specific microenvironments, and is finely tuned by cells and specialized biomacromolecules. This article surveys bio- inspired approaches to artificial crystallization based on the above concept: that is, the use of organized organic surfaces patterned with specific initiation domains on a sub- micrometer scale to control patterned crystal growth. Specially tailored self-assembled monolayers (SAMs) of x-terminated alkanethiols were micropatterned on metal films using soft lithography and applied as organic templates for the nucleation of calcium carbonate. Crystallization results in the formation of large-area, high-resolution inorganic replicas of the underlying organic patterns. SAMs provide sites for ordered nucleation, and make it possible to control various aspects of the crystallization process, including the precise localization of particles, nucleation density, crystal sizes, crystallographic orientation, morphology, polymorph, stability, and architecture. The ability to construct periodic arrays of uniform oriented single crystals, large single crystals with controlled microporosity, or films presenting patterns of crystals offers a potent methodology to materials engineering. 1. Technological Challenge and Biological Of the many challenges facing materials science, the devel- Inspiration opment of an alternative, bottom±up crystallization route, which would enable the direct, patterned growth of crystals The ability to control crystallization is a critical requirement with controlled physico-chemical properties, became an at- in the synthesis of many technologically important materi- tractive, strategic goal. The fundamental principles of the [12±17] als.[1±5] Crystalline inorganic structures with micrometer-scale bottom±up approach can be borrowed from nature. -
Unsolved Problems in Nanotechnology
Unsolved Problems in Nanotechnology 61 Biographical sketch of Matthew Tirrell Matthew Tirrell received his undergraduate education in Chemical Engineering at Northwestern University and his Ph.D. in 1977 in Polymer Science from the University of Massachusetts. He is currently Dean of the College of Engineering at the University of California, Santa Barbara. From 1977 to 1999 he was on the faculty of Chemical Engineering and Materials Science at the University of Minnesota, where he served as head of the department from 1995 to 1999. His research has been in polymer surface properties including adsorption, adhesion, surface treatment, friction, lubrication and biocompatibilty. He has co-authored about 250 papers and one book and has supervised about 60 Ph.D. students. Professor Tirrell has been a Sloan and a Guggenheim Fellow, a recipient of the Camille and Henry Dreyfus Teacher-Scholar Award and has received the Allan P. Colburn, Charles Stine and the Professional Progress Awards from AIChE. He was elected to the National Academy of Engineering in 1997, became a Fellow of the American Institute of Medical and Biological Engineers in 1998, was elected Fellow of the American Association for the Advancement of Science in 2000 and was named Institute Lecturer for the American Institute of Chemical Engineers in 2001. 62 Unsolved Problems in Nanotechnology: Chemical Processing by Self-Assembly Matthew Tirrell Departments of Chemical Engineering and Materials Materials Research Laboratory California NanoSystems Institute University of California, Santa Barbara, CA 93106-5130 [email protected] Abstract The many impressive laboratory demonstrations of controllable self-assembly methods generate considerable hope and interest in self-assembly as a manufacturing method for nano-structured products. -
The Bio Revolution: Innovations Transforming and Our Societies, Economies, Lives
The Bio Revolution: Innovations transforming economies, societies, and our lives economies, societies, our and transforming Innovations Revolution: Bio The The Bio Revolution Innovations transforming economies, societies, and our lives May 2020 McKinsey Global Institute Since its founding in 1990, the McKinsey Global Institute (MGI) has sought to develop a deeper understanding of the evolving global economy. As the business and economics research arm of McKinsey & Company, MGI aims to help leaders in the commercial, public, and social sectors understand trends and forces shaping the global economy. MGI research combines the disciplines of economics and management, employing the analytical tools of economics with the insights of business leaders. Our “micro-to-macro” methodology examines microeconomic industry trends to better understand the broad macroeconomic forces affecting business strategy and public policy. MGI’s in-depth reports have covered more than 20 countries and 30 industries. Current research focuses on six themes: productivity and growth, natural resources, labor markets, the evolution of global financial markets, the economic impact of technology and innovation, and urbanization. Recent reports have assessed the digital economy, the impact of AI and automation on employment, physical climate risk, income inequal ity, the productivity puzzle, the economic benefits of tackling gender inequality, a new era of global competition, Chinese innovation, and digital and financial globalization. MGI is led by three McKinsey & Company senior partners: co-chairs James Manyika and Sven Smit, and director Jonathan Woetzel. Michael Chui, Susan Lund, Anu Madgavkar, Jan Mischke, Sree Ramaswamy, Jaana Remes, Jeongmin Seong, and Tilman Tacke are MGI partners, and Mekala Krishnan is an MGI senior fellow. -
Important Factors Influencing Protein Crystallization
Global Journal of Biotechnology and Biomaterial Science Mohnad Abdalla1*, Wafa Ali Eltayb1, Mini Review Abdus Samad1, Elshareef SHM1 and TIM Dafaalla2 1Hefei National Laboratory for Physical Sciences at the Important Factors Influencing Microscale and School of Life Sciences, University of Science and Technology of China, Hefei, Anhui 230027, People’s Protein Crystallization Republic of China 2College of Plant Science, Jilin University, Changchun 130062, China Abstract Dates: Received: 16 September, 2016; Accepted: The solution of crystallization problem was introduced around twenty years ago, with the 29 September, 2016; Published: 30 September, introduction of crystallization screening methods. Here reported some of the factors which affect 2016 protein crystallization, solubility, Concentration of precipitant, concentration of macromolecule, ionic *Corresponding author: Mohnad Abdalla, strength, pH, temperature, and organism source of macromolecules, reducing or oxidizing environment, Hefei National Laboratory for Physical Sciences additives, ligands, presence of substrates, inhibitors, coenzymes, metal ions and rate of equilibration. at the Microscale and School of Life Sciences, The aim of this paper to give very helpful advice for crystallization. University of Science and Technology of China, Hefei, Anhui 230027, PR China, E-mail: Buffer is most straight forward way to make a crystallization www.peertechz.com problem by effect the protein behave. There are many rules and Keywords: Proteins; Crystallization; Isoelectric point; different protein crystallization methods, some of it has been pH; Solubility; Stability developed during the recent years. However, Protein crystallization still represents a great challenge for bio crystallography. The Introduction cumulation of crystallization information in crystallization databases and in structural articles it allow us to design crystallization X-ray crystallography has provided 3D structures of thousands experiments depending on the character of the protein.