Kinetics and Mechanisms of Aggregative Nanocrystal Growth

The aggregative growth and oriented attachment of nanocrystals and nanoparticles are reviewed, and they are contrasted to classical LaMer nucleation and growth, and to Ostwald ripening. Kinetic and mechanistic models are presented, and experiments directly observing aggregative growth and oriented attachment are summarized. Aggregative growth is described as a nonclassical nucleation and growth process. The concept of a nucleation function is introduced, and approximated with a Gaussian form. The height (Γmax) and width (Δtn) of the nucleation function are systematically varied by conditions that influence the colloidal stability of the small, primary nanocrystals participating in aggregative growth. The nucleation parameters Γmax and Δtn correlate with the final nanocrystal mean size and size distribution, affording a potential means of achieving nucleation control in nanocrystal synthesis.

[1]  O. L. Weaver,et al.  Nucleation in short-range attractive colloids: ordering and symmetry of clusters. , 2012, Langmuir : the ACS journal of surfaces and colloids.

[2]  R. L. Penn,et al.  Effect of Ionic Strength on the Kinetics of Crystal Growth by Oriented Aggregation , 2012 .

[3]  F. Emmerling,et al.  Formation mechanism of colloidal silver nanoparticles: analogies and differences to the growth of gold nanoparticles. , 2012, ACS nano.

[4]  S. Whitelam,et al.  Real-Time Imaging of Pt3Fe Nanorod Growth in Solution , 2012, Science.

[5]  Shawn P. Shields,et al.  Gold Nanocluster Agglomeration Kinetic Studies: Evidence for Parallel Bimolecular Plus Autocatalytic Agglomeration Pathways as a Mechanism-Based Alternative to an Avrami-Based Analysis , 2012 .

[6]  Daniel J. Hellebusch,et al.  High-Resolution EM of Colloidal Nanocrystal Growth Using Graphene Liquid Cells , 2012, Science.

[7]  James E. Evans,et al.  Direct in situ observation of nanoparticle synthesis in a liquid crystal surfactant template. , 2012, ACS nano.

[8]  P. Skrdla Roles of nucleation, denucleation, coarsening, and aggregation kinetics in nanoparticle preparations and neurological disease. , 2012, Langmuir : the ACS journal of surfaces and colloids.

[9]  H. Xin,et al.  In situ observation of oscillatory growth of bismuth nanoparticles. , 2012, Nano letters.

[10]  M. Harada,et al.  Nucleation and aggregative growth process of platinum nanoparticles studied by in situ quick XAFS spectroscopy. , 2012, Langmuir : the ACS journal of surfaces and colloids.

[11]  Z. Hens,et al.  Tuning the postfocused size of colloidal nanocrystals by the reaction rate: from theory to application. , 2012, ACS nano.

[12]  A. Hubin,et al.  New Insights into the Early Stages of Nanoparticle Electrodeposition , 2012 .

[13]  P. Skrdla Use of Dispersive Kinetic Models for Nucleation and Denucleation to Predict Steady-State Nanoparticle Size Distributions and the Role of Ostwald Ripening , 2012 .

[14]  Louise R. Giam,et al.  Nanoreactors for studying single nanoparticle coarsening. , 2012, Journal of the American Chemical Society.

[15]  Helmut Cölfen,et al.  Prenucleation clusters and non-classical nucleation , 2011 .

[16]  T. Yonezawa,et al.  Size of elementary clusters and process period in silver nanoparticle formation. , 2011, Journal of the American Chemical Society.

[17]  Kui Yu,et al.  In-situ observation of nucleation and growth of PbSe magic-sized nanoclusters and regular nanocrystals. , 2011, Small.

[18]  N. Tamura,et al.  Nucleation and Growth of Metal Nanoparticles during Photoreduction Using In Situ Time-Resolved SAXS Analysis , 2011 .

[19]  P. Skrdla Activation energy distributions predicted by dispersive kinetic models for nucleation and denucleation: anomalous diffusion resulting from quantization. , 2011, The journal of physical chemistry. A.

[20]  James E. Evans,et al.  Controlled growth of nanoparticles from solution with in situ liquid transmission electron microscopy. , 2011, Nano letters.

[21]  E. Chan,et al.  Focusing nanocrystal size distributions via production control. , 2011, Nano letters.

[22]  S. Hassan Microscopic mechanism of nanocrystal formation from solution by cluster aggregation and coalescence. , 2011, The Journal of chemical physics.

[23]  P. Skrdla Kinetics and Thermodynamics of Efficient Chiral Symmetry Breaking in Nearly Racemic Mixtures of Conglomerate Crystals , 2011 .

[24]  J. Anwar,et al.  Uncovering molecular processes in crystal nucleation and growth by using molecular simulation. , 2011, Angewandte Chemie.

[25]  Shawn P. Shields,et al.  Nucleation Control in the Aggregative Growth of Bismuth Nanocrystals , 2011 .

[26]  A Paul Alivisatos,et al.  Precursor conversion kinetics and the nucleation of cadmium selenide nanocrystals. , 2010, Journal of the American Chemical Society.

[27]  M. Harada,et al.  Mechanism of silver particle formation during photoreduction using in situ time-resolved SAXS analysis. , 2010, Langmuir : the ACS journal of surfaces and colloids.

[28]  Peter N. Njoki,et al.  Aggregative growth in the size-controlled growth of monodispersed gold nanoparticles. , 2010, Langmuir : the ACS journal of surfaces and colloids.

[29]  V. Privman,et al.  Models of synthesis of uniform colloids and nanocrystals , 2010, 1006.0533.

[30]  W. Buhro,et al.  Pathway from a Molecular Precursor to Silver Nanoparticles: The Prominent Role of Aggregative Growth , 2010 .

[31]  D. Holland-Moritz,et al.  Colloids as model systems for metals and alloys: a case study of crystallization , 2010, Journal of physics. Condensed matter : an Institute of Physics journal.

[32]  Shawn P. Shields,et al.  Nucleation Control of Size and Dispersity in Aggregative Nanoparticle Growth. A Study of the Coarsening Kinetics of Thiolate-Capped Gold Nanocrystals , 2010 .

[33]  Klaus Rademann,et al.  Nucleation and growth of gold nanoparticles studied via in situ small angle X-ray scattering at millisecond time resolution. , 2010, ACS nano.

[34]  F. Emmerling,et al.  Mechanism of gold nanoparticle formation in the classical citrate synthesis method derived from coupled in situ XANES and SAXS evaluation. , 2010, Journal of the American Chemical Society.

[35]  S. Roth,et al.  Competition between heterogeneous and homogeneous nucleation near a flat wall , 2009, Journal of physics. Condensed matter : an Institute of Physics journal.

[36]  F. Huang,et al.  Pure multistep oriented attachment growth kinetics of surfactant-free SnO2 nanocrystals. , 2009, Physical chemistry chemical physics : PCCP.

[37]  Xiaogang Peng,et al.  Nucleation kinetics vs chemical kinetics in the initial formation of semiconductor nanocrystals. , 2009, Journal of the American Chemical Society.

[38]  L. Benning,et al.  Quantification of initial steps of nucleation and growth of silica nanoparticles: An in-situ SAXS and DLS study , 2009 .

[39]  R. Finke,et al.  Is There a Minimal Chemical Mechanism Underlying Classical Avrami-Erofe’ev Treatments of Phase-Transformation Kinetic Data? , 2009 .

[40]  Jun Li,et al.  Formation and Stability of Gold Nanoflowers by the Seeding Approach: The Effect of Intraparticle Ripening , 2009 .

[41]  P. Skrdla Crystallizations, solid-state phase transformations and dissolution behavior explained by dispersive kinetic models based on a Maxwell-Boltzmann distribution of activation energies: theory, applications, and practical limitations. , 2009, The journal of physical chemistry. A.

[42]  M. Davidson,et al.  Evolution of Colloidal Nanocrystals: Theory and Modeling of their Nucleation and Growth , 2009 .

[43]  A. Alivisatos,et al.  Observation of Single Colloidal Platinum Nanocrystal Growth Trajectories , 2009, Science.

[44]  K. Jensen,et al.  Insights into the kinetics of semiconductor nanocrystal nucleation and growth. , 2009, Journal of the American Chemical Society.

[45]  R. Finke,et al.  Transition-metal nanocluster size vs formation time and the catalytically effective nucleus number: a mechanism-based treatment. , 2008, Journal of the American Chemical Society.

[46]  T. Hyeon,et al.  Colloidal chemical synthesis and formation kinetics of uniformly sized nanocrystals of metals, oxides, and chalcogenides. , 2008, Accounts of chemical research.

[47]  V. Privman,et al.  Computational model for the formation of uniform silver spheres by aggregation of nanosize precursors. , 2008, The Journal of chemical physics.

[48]  Luciana Meli,et al.  Aggregation and coarsening of ligand-stabilized gold nanoparticles in poly(methyl methacrylate) thin films. , 2008, ACS nano.

[49]  P. C. Gibbons,et al.  Size- and Shape-Controlled Synthesis of Bismuth Nanoparticles , 2008 .

[50]  C. Rao,et al.  Growth kinetics of gold nanocrystals: a combined small-angle X-ray scattering and calorimetric study. , 2008, Small.

[51]  R. Finke,et al.  Transition-Metal Nanocluster Stabilization versus Agglomeration Fundamental Studies: Measurement of the Two Types of Rate Constants for Agglomeration Plus Their Activation Parameters under Catalytic Conditions , 2008 .

[52]  R. Finke,et al.  The Four-Step, Double-Autocatalytic Mechanism for Transition-Metal Nanocluster Nucleation, Growth, and Then Agglomeration: Metal, Ligand, Concentration, Temperature, and Solvent Dependency Studies , 2008 .

[53]  V. Privman,et al.  Model of nanocrystal formation in solution by burst nucleation and diffusional growth. , 2007, Langmuir : the ACS journal of surfaces and colloids.

[54]  E. W. Meijer,et al.  Mesoscopic order and the dimensionality of long-range resonance energy transfer in supramolecular semiconductors. , 2007, The Journal of chemical physics.

[55]  P. Skrdla,et al.  Use of Dispersive Kinetic Models To Describe the Rate of Metal Nanoparticle Self-Assembly , 2008 .

[56]  Hai-rong Liu,et al.  Formation mechanism of critical nucleus during nucleation process of liquid metal sodium. , 2007, The Journal of chemical physics.

[57]  R. L. Penn,et al.  Size dependent kinetics of oriented aggregation , 2007 .

[58]  Jun Li,et al.  Size control of gold nanocrystals in citrate reduction: the third role of citrate. , 2007, Journal of the American Chemical Society.

[59]  T. Hyeon,et al.  Kinetics of monodisperse iron oxide nanocrystal formation by "heating-up" process. , 2007, Journal of the American Chemical Society.

[60]  Sung Il Park,et al.  A Theoretical Model for Digestive Ripening , 2007 .

[61]  Xiaogang Peng,et al.  Formation of monodisperse and shape-controlled MnO nanocrystals in non-injection synthesis: self-focusing via ripening. , 2007, Journal of the American Chemical Society.

[62]  C. Millot,et al.  Hit and miss of classical nucleation theory as revealed by a molecular simulation study of crystal nucleation in supercooled sulfur hexafluoride. , 2007, The Journal of chemical physics.

[63]  M. Drofenik,et al.  Hydrothermal Synthesis of Ba‐Hexaferrite Nanoparticles , 2007 .

[64]  S. J. Cooper,et al.  Direct measurement of critical nucleus size in confined volumes. , 2007, Langmuir : the ACS journal of surfaces and colloids.

[65]  H. Schöpe,et al.  Nucleation kinetics in deionized charged colloidal model systems: a quantitative study by means of classical nucleation theory. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[66]  B. Bagchi,et al.  Elucidating the mechanism of nucleation near the gas-liquid spinodal. , 2007, Physical review letters.

[67]  J. Mullin,et al.  Effect of selected impurities on the continuous precipitation of calcium sulphate (gypsum) , 2007 .

[68]  Sandeep Kumar,et al.  Aggregative growth of silicalite-1. , 2007, The journal of physical chemistry. B.

[69]  N. Pradhan,et al.  Interparticle influence on size/size distribution evolution of nanocrystals. , 2007, Journal of the American Chemical Society.

[70]  E. Tok,et al.  Configuration dependent critical nuclei in the self assembly of magic clusters. , 2007, Physical chemistry chemical physics : PCCP.

[71]  Yonglan Luo One-step preparation of gold nanoparticles with different size distribution , 2007 .

[72]  H. Yasuhara,et al.  Modeling the kinetics of silica nanocolloid formation and precipitation in geologically relevant aqueous solutions , 2007 .

[73]  Jinsheng Zheng,et al.  Oriented attachment kinetics for ligand capped nanocrystals: coarsening of thiol-PbS nanoparticles. , 2007, The journal of physical chemistry. B.

[74]  T. Egan,et al.  Kinetics of beta-haematin formation from suspensions of haematin in aqueous benzoic acid. , 2006, Dalton transactions.

[75]  Anand Prakash,et al.  Implementation of a discrete nodal model to probe the effect of size-dependent surface tension on nanoparticle formation and growth , 2006 .

[76]  F. Huang,et al.  A multistep oriented attachment kinetics: coarsening of ZnS nanoparticle in concentrated NaOH. , 2006, Journal of the American Chemical Society.

[77]  Timothy O. Drews,et al.  Mechanistic principles of nanoparticle evolution to zeolite crystals , 2006, Nature materials.

[78]  N. Zheng,et al.  One-step one-phase synthesis of monodisperse noble-metallic nanoparticles and their colloidal crystals. , 2006, Journal of the American Chemical Society.

[79]  R. Behm,et al.  Direct identification of critical clusters in chemical vapor deposition. , 2006, Physical review letters.

[80]  A. Datye,et al.  Particle Size Distributions in Heterogeneous Catalysts: What Do They Tell Us About the Sintering Mechanism? , 2006 .

[81]  E. Fras,et al.  About Kolmogorov's statistical theory of phase transformation , 2005 .

[82]  N. Lümmen,et al.  Homogeneous nucleation of iron from supersaturated vapor investigated by molecular dynamics simulation , 2005 .

[83]  Timothy O. Drews,et al.  A mathematical model for crystal growth by aggregation of precursor metastable nanoparticles. , 2005, The journal of physical chemistry. B.

[84]  T. Palberg,et al.  Microscopic investigations of homogeneous nucleation in charged sphere suspensions. , 2005, The Journal of chemical physics.

[85]  N. Mantzaris Liquid-phase synthesis of nanoparticles: Particle size distribution dynamics and control , 2005 .

[86]  D. A. Schwartz,et al.  The influence of dopants on the nucleation of semiconductor nanocrystals from homogeneous solution. , 2005, Journal of nanoscience and nanotechnology.

[87]  R. Finke,et al.  Nanocluster Nucleation, Growth, and Then Agglomeration Kinetic and Mechanistic Studies: A More General, Four-Step Mechanism Involving Double Autocatalysis , 2005 .

[88]  R. Finke,et al.  A mechanism for transition-metal nanoparticle self-assembly. , 2005, Journal of the American Chemical Society.

[89]  B. J. McCoy,et al.  Distribution kinetics of polymer crystallization and the Avrami equation. , 2005, The Journal of chemical physics.

[90]  P. Mulvaney,et al.  Nucleation and growth kinetics of CdSe nanocrystals in octadecene , 2004 .

[91]  R. Finke,et al.  Transition-Metal Nanocluster Kinetic and Mechanistic Studies Emphasizing Nanocluster Agglomeration: Demonstration of a Kinetic Method That Allows Monitoring of All Three Phases of Nanocluster Formation and Aging , 2004 .

[92]  R. L. Penn,et al.  Kinetics of Oriented Aggregation , 2004 .

[93]  M. Swihart,et al.  Aerosol dynamics modeling of silicon nanoparticle formation during silane pyrolysis: a comparison of three solution methods , 2004 .

[94]  Frank E. Osterloh,et al.  A Simple Large-Scale Synthesis of Nearly Monodisperse Gold and Silver Nanoparticles with Adjustable Sizes and with Exchangeable Surfactants , 2004 .

[95]  Xiaogang Peng,et al.  In Situ Observation of the Nucleation and Growth of CdSe Nanocrystals , 2004 .

[96]  Y. Kawazoe,et al.  Ultra-stable nanoparticles of CdSe revealed from mass spectrometry , 2004, Nature materials.

[97]  B. Korgel,et al.  Growth kinetics and metastability of monodisperse tetraoctylammonium bromide capped gold nanocrystals , 2004 .

[98]  Xiaogang Peng,et al.  Single-phase and gram-scale routes toward nearly monodisperse Au and other noble metal nanocrystals. , 2003, Journal of the American Chemical Society.

[99]  Anand Prakash,et al.  A Simple Numerical Algorithm and Software for Solution of Nucleation, Surface Growth, and Coagulation Problems , 2003 .

[100]  J. Banfield,et al.  The role of oriented attachment crystal growth in hydrothermal coarsening of nanocrystalline ZnS , 2003 .

[101]  F. Ross,et al.  Dynamic microscopy of nanoscale cluster growth at the solid–liquid interface , 2003, Nature materials.

[102]  B. J. McCoy,et al.  Distribution kinetics of Ostwald ripening at large volume fraction and with coalescence. , 2003, Journal of colloid and interface science.

[103]  V. Privman,et al.  Model of Controlled Synthesis of Uniform Colloid Particles: Cadmium Sulfide , 2003, cond-mat/0305197.

[104]  D. Schiffrin,et al.  Purification of dodecanethiol derivatised gold nanoparticles. , 2003, Chemical communications.

[105]  Feng Huang,et al.  Two-Stage Crystal-Growth Kinetics Observed during Hydrothermal Coarsening of Nanocrystalline ZnS , 2003 .

[106]  Narendra M Dixit,et al.  Nucleation rates and induction times during colloidal crystallization: links between models and experiments. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[107]  E. Ruckenstein,et al.  Effect of shape on the critical nucleus size in a three-dimensional ising model: Energetic and kinetic approaches , 2002 .

[108]  Zhiyong Tang,et al.  Spontaneous Organization of Single CdTe Nanoparticles into Luminescent Nanowires , 2002, Science.

[109]  J. Turkevich,et al.  Coagulation of Colloidal Gold , 2002 .

[110]  Scott L. Cumberland,et al.  Inorganic Clusters as Single-Source Precursors for Preparation of CdSe, ZnSe, and CdSe/ZnS Nanomaterials , 2002 .

[111]  Xiaogang Peng,et al.  Nearly monodisperse and shape-controlled CdSe nanocrystals via alternative routes: nucleation and growth. , 2002, Journal of the American Chemical Society.

[112]  C. Sorensen,et al.  Gram-scale synthesis of monodisperse gold colloids by the solvated metal atom dispersion method and digestive ripening and their organization into two- and three-dimensional structures. , 2002, Journal of the American Chemical Society.

[113]  A. Rogach,et al.  Evolution of an Ensemble of Nanoparticles in a Colloidal Solution: Theoretical Study , 2001 .

[114]  P. Vekilov,et al.  Nucleation of Protein Crystals: Critical Nuclei, Phase Behavior, and Control Pathways , 2001 .

[115]  C. Zukoski,et al.  Silver Nanoparticle Formation: Predictions and Verification of the Aggregative Growth Model , 2001 .

[116]  F. Hodaj,et al.  Kinetics of nucleation in the concentration gradient , 2001 .

[117]  Andrew Schofield,et al.  Real-Space Imaging of Nucleation and Growth in Colloidal Crystallization , 2001, Science.

[118]  U. Banin,et al.  Size-dependent optical spectroscopy of a homologous series of CdSe cluster molecules. , 2001, Journal of the American Chemical Society.

[119]  P. Vekilov,et al.  Direct observation of nucleus structure and nucleation pathways in apoferritin crystallization. , 2001, Journal of the American Chemical Society.

[120]  V. Privman,et al.  Model of Formation of Monodispersed Colloids , 2001, cond-mat/0102079.

[121]  J. Widegren,et al.  Additional Investigations of a New Kinetic Method To Follow Transition-Metal Nanocluster Formation, Including the Discovery of Heterolytic Hydrogen Activation in Nanocluster Nucleation Reactions , 2001 .

[122]  A. Gualtieri Synthesis of sodium zeolites from a natural halloysite , 2001 .

[123]  Christopher M. Sorensen,et al.  Digestive Ripening, Nanophase Segregation and Superlattice Formation in Gold Nanocrystal Colloids , 2000 .

[124]  M. Maye,et al.  Heating-Induced Evolution of Thiolate-Encapsulated Gold Nanoparticles: A Strategy for Size and Shape Manipulations , 2000 .

[125]  M. Maye,et al.  Manipulating core-shell reactivities for processing nanoparticle sizes and shapes , 2000 .

[126]  Mansoo Choi,et al.  An Analysis of Aerosol Dynamics in the Modified Chemical Vapor Deposition , 1999 .

[127]  Y. Ben‐Eliyahu,et al.  Hydride nucleation and formation of hydride growth centers on oxidized metallic surfaces—kinetic theory , 1999 .

[128]  Clara Silvestre,et al.  Non-isothermal crystallization of polymers , 1999 .

[129]  Jillian F. Banfield,et al.  Morphology development and crystal growth in nanocrystalline aggregates under hydrothermal conditions: insights from titania , 1999 .

[130]  Park,et al.  Mechanism of Formation of Monodispersed Colloids by Aggregation of Nanosize Precursors. , 1998, Journal of colloid and interface science.

[131]  Charles F. Zukoski,et al.  Formation mechanisms and aggregation behavior of borohydride reduced silver particles , 1998 .

[132]  R. Finke,et al.  Nanocluster Formation Synthetic, Kinetic, and Mechanistic Studies.† The Detection of, and Then Methods To Avoid, Hydrogen Mass-Transfer Limitations in the Synthesis of Polyoxoanion- and Tetrabutylammonium-Stabilized, Near-Monodisperse 40 ± 6 Å Rh(0) Nanoclusters , 1998 .

[133]  Banfield,et al.  Imperfect oriented attachment: dislocation generation in defect-free nanocrystals , 1998, Science.

[134]  D. Eberl,et al.  Deducing growth mechanisms for minerals from the shapes of crystal size distributions , 1998 .

[135]  Xiaogang Peng,et al.  Kinetics of II-VI and III-V Colloidal Semiconductor Nanocrystal Growth: “Focusing” of Size Distributions , 1998 .

[136]  R. Finke,et al.  Transition Metal Nanocluster Formation Kinetic and Mechanistic Studies. A New Mechanism When Hydrogen Is the Reductant: Slow, Continuous Nucleation and Fast Autocatalytic Surface Growth , 1997 .

[137]  P. Norby HYDROTHERMAL CONVERSION OF ZEOLITES : AN IN SITU SYNCHROTRON X-RAY POWDER DIFFRACTION STUDY , 1997 .

[138]  G. Carlow Ostwald ripening on surfaces when mass conservation is violated: spatial cluster patterns , 1997 .

[139]  L. Levine,et al.  Finite size corrections for the Johnson-Mehl-Avrami-Kolmogorov equation , 1997 .

[140]  D. F. Evans,et al.  Fundamentals of Interfacial Engineering , 1996 .

[141]  M. J. Ruiz-Montero,et al.  Numerical evidence for bcc ordering at the surface of a critical fcc nucleus. , 1995, Physical review letters.

[142]  Kikuo Okuyama,et al.  Evaluation of Sintering of Nanometer-Sized Titania Using Aerosol Method , 1995 .

[143]  Xin Zheng Simulation of bimodal size distributions for coarsening , 1994 .

[144]  A. McPherson,et al.  Light-scattering investigations of nucleation processes and kinetics of crystallization in macromolecular systems. , 1994, Acta crystallographica. Section D, Biological crystallography.

[145]  Charles F. Zukoski,et al.  Gold sol formation mechanisms: Role of colloidal stability , 1994 .

[146]  Mathias Brust,et al.  Synthesis of thiol-derivatised gold nanoparticles in a two-phase liquid-liquid system , 1994 .

[147]  M. Bawendi,et al.  Synthesis and characterization of nearly monodisperse CdE (E = sulfur, selenium, tellurium) semiconductor nanocrystallites , 1993 .

[148]  E. Matijević Preparation and Properties of Uniform Size Colloids , 1993 .

[149]  A. McPherson,et al.  Light scattering investigations of protein and virus crystal growth: ferritin, apoferritin and satellite tobacco mosaic virus , 1993 .

[150]  W. van Osdol,et al.  Effects of the anesthetic dibucaine on the kinetics of the gel-liquid crystalline transition of dipalmitoylphosphatidylcholine multilamellar vesicles. , 1992, Biophysical journal.

[151]  C. Serna,et al.  The formation of a–Fe_2O_3 monodispersed particles in solution , 1992 .

[152]  Shun Wachi,et al.  Dynamic modelling of particle size distribution and degree of agglomeration during precipitation , 1992 .

[153]  Peter W Voorhees,et al.  Ostwald Ripening of Two-Phase Mixtures , 1992 .

[154]  Charles F. Zukoski,et al.  Studies of the kinetics of the precipitation of uniform silica particles through the hydrolysis and condensation of silicon alkoxides , 1991 .

[155]  C. Zukoski,et al.  Uniform Silica Particle Precipitation : An Aggregative Growth Model , 1991 .

[156]  J. Hostomský,et al.  Calcium carbonate crystallization, agglomeration and form during continuous precipitation from solution , 1991 .

[157]  S. Pratsinis,et al.  Gas phase production of particles in reactive turbulent flows , 1991 .

[158]  P. Meakin,et al.  Universal diffusion-limited colloid aggregation , 1990 .

[159]  Klein,et al.  Universal reaction-limited colloid aggregation. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[160]  C. Zukoski,et al.  Colloidal interactions during the precipitation of uniform submicrometre particles , 1990 .

[161]  Yang,et al.  Phase transformations in lipids follow classical kinetics with small fractional dimensionalities. , 1988, Physical review. A, General physics.

[162]  Witten,et al.  Universal kinetics in reaction-limited aggregation. , 1987, Physical review letters.

[163]  T. Sugimoto Preparation of monodispersed colloidal particles , 1987 .

[164]  Weitz,et al.  Dynamic scaling of cluster-mass distributions in kinetic colloid aggregation. , 1986, Physical review letters.

[165]  W. Wagner The size of critical nuclei in Cu-rich CuCo , 1986 .

[166]  J. Turkevich,et al.  Colloidal gold. Part I , 1985 .

[167]  R. Ball,et al.  Computer simulation of chemically limited aggregation , 1985 .

[168]  Huang,et al.  Limits of the fractal dimension for irreversible kinetic aggregation of gold colloids. , 1985, Physical review letters.

[169]  M. Anisimov,et al.  Gas-flow diffusion chamber for vapour nucleation studies. Relations between nucleation rate, critical nucleus size and entropy of transition from a metastable into a stable state , 1985 .

[170]  William D. Callister,et al.  Materials Science and Engineering: An Introduction , 1985 .

[171]  R. Jullien,et al.  Chemically limited versus diffusion limited aggregation , 1984 .

[172]  Horst Weller,et al.  Photo-Chemistry of Colloidal Metal Sulfides 8. Photo-Physics of Extremely Small CdS Particles: Q-State CdS and Magic Agglomeration Numbers , 1984 .

[173]  M. Kolb,et al.  Hierarchical model for chemically limited cluster―cluster aggregation , 1984 .

[174]  P. Meakin Formation of fractal clusters and networks by irreversible diffusion-limited aggregation , 1983 .

[175]  Rémi Jullien,et al.  Scaling of Kinetically Growing Clusters , 1983 .

[176]  L. Sander,et al.  Diffusion-limited aggregation , 1983 .

[177]  Paul Meakin,et al.  Diffusion-controlled cluster formation in two, three, and four dimensions , 1983 .

[178]  L. Sander,et al.  Diffusion-limited aggregation, a kinetic critical phenomenon , 1981 .

[179]  S. Kaliaguine,et al.  Alumina trihydrate crystallization. Part 2. A model of agglomeration , 1976 .

[180]  R. Rowell,et al.  Time dependence of the size distribution, number concentration and surface area in La Mer sulfur sols , 1975 .

[181]  N. Uyeda,et al.  Nucleus interaction and fine structures of colloidal gold particles , 1973 .

[182]  C. W. Shoppee Christopher Kelk Ingold, 1893-1970 , 1972, Biographical Memoirs of Fellows of the Royal Society.

[183]  J. Wendorff,et al.  Transitions in mesophase forming systems. I. Transformation kinetics and pretransition effects in cholesteryl myristate , 1971 .

[184]  I. Lifshitz,et al.  The kinetics of precipitation from supersaturated solid solutions , 1961 .

[185]  Victor K. La Mer,et al.  Nucleation in Phase Transitions. , 1952 .

[186]  Howard Reiss,et al.  The Growth of Uniform Colloidal Dispersions , 1951 .

[187]  J. Hillier,et al.  A study of the nucleation and growth processes in the synthesis of colloidal gold , 1951 .

[188]  V. Lamer,et al.  Theory, Production and Mechanism of Formation of Monodispersed Hydrosols , 1950 .

[189]  J. A. V. BUTLER,et al.  Theory of the Stability of Lyophobic Colloids , 1948, Nature.

[190]  M. Avrami Granulation, Phase Change, and Microstructure Kinetics of Phase Change. III , 1941 .

[191]  M. Avrami Kinetics of Phase Change. II Transformation‐Time Relations for Random Distribution of Nuclei , 1940 .

[192]  M. Avrami Kinetics of Phase Change. I General Theory , 1939 .

[193]  E. Hughes,et al.  54. Mechanism of substitution at a saturated carbon atom. Part III. Kinetics of the degradations of sulphonium compounds , 1935 .

[194]  E. Hughes,et al.  Dynamics and Mechanism of Aliphatic Substitutions , 1933, Nature.

[195]  C. K. Ingold 266. Significance of tautomerism and of the reactions of aromatic compounds in the electronic theory of organic reactions , 1933 .