Nucleation rates and the kinetics of particle growth II. The birth and death process

1964 ◽  
Vol 277 (1369) ◽  
pp. 167-182 ◽  
Keyword(s):  
Steady State ◽  
Homogeneous Nucleation ◽  
Time Lag ◽  
Particle Growth ◽  
Statistical Problem ◽  
Death Process ◽  
Birth And Death Process ◽  
Growth Mechanisms ◽  
Nucleation Kinetics ◽  
Kinetics Of

The model considered in part I is generalized to include growth mechanisms in which the chemical reaction which proceeds at the particle-atm osphere interface is reversible, so that molecules may evaporate from a particle as well as condense upon it. The Becker-Döring-Zeldovich-Frenkel theory of homogeneous nucleation kinetics is then reviewed in the light of the known statistical problem of the birth -and -death process, and an improved approximation is introduced which significantly alters the calculated results. Both steady-state nucleation kinetics and the time lag problem are discussed.

scholarly journals Computational investigation of structure, dynamics and nucleation kinetics of a family of modified Stillinger–Weber model fluids in bulk and free-standing thin films

2016 ◽  
Vol 18 (5) ◽  
pp. 4102-4111 ◽  
Author(s):  
Melisa M. Gianetti ◽  
Amir Haji-Akbari ◽  
M. Paula Longinotti ◽  
Pablo G. Debenedetti
Keyword(s):  
Thin Films ◽  
Homogeneous Nucleation ◽  
Computational Investigation ◽  
Nucleation Kinetics ◽  
Free Standing ◽  
Structure Dynamics ◽  
Critical Nuclei ◽  
Kinetics Of ◽  
Model Fluids ◽  
Weber Model

Critical nuclei for bulk homogeneous nucleation at ζ = 0.845 for different values of λ.

Crystallization and Homogeneous Nucleation Kinetics of Poly(ε-caprolactone) (PCL) with Different Molar Masses

2012 ◽  
Vol 45 (9) ◽  
pp. 3816-3828 ◽  
Author(s):  
Andreas Wurm ◽  
Evgeny Zhuravlev ◽  
Kathrin Eckstein ◽  
Dieter Jehnichen ◽  
Doris Pospiech ◽  
...  
Keyword(s):  
Homogeneous Nucleation ◽  
Nucleation Kinetics ◽  
Kinetics Of

Measurements of adsorption for membranes in situ with the use of time-lags and steady state flows

1979 ◽  
Vol 365 (1722) ◽  
pp. 267-281 ◽  
Keyword(s):  
Steady State ◽  
Standard Procedure ◽  
Time Lag ◽  
Sorption Isotherms ◽  
Time Lags ◽  
Carbon Membrane ◽  
Differential Diffusion ◽  
Use Of Time ◽  
Kinetics Of

Isotherms, steady state flows, the four time-lags, the kinetics of sorption and of the approach to the steady state of flow have been measured and analysed to investigate the properties of a graphitized carbon membrane. Sorption isotherms determined on the membrane in situ by a kinetic pro­cedure involving the time-lags and steady state flows were in agreement with isotherms determined by a standard procedure. Analysis of the time-lag and other results left the possibility of a small dependence of the diffusion coefficient, D , upon positional coordinate or upon time, but the dominant influence upon D was its dependence upon concentration, C . Differential diffusion coefficients increased very rapidly with C outside the range of the Henry law. Uptakes of diffusant in the steady state of flow, measured directly, through time-lag measurements and from steady state concentration contours across the membrane were in good agreement.

Homogeneous nucleation kinetics of parallelepipeds

1977 ◽  
Vol 62 (1) ◽  
pp. 303-307 ◽  
Author(s):  
G.J. Shiflet ◽  
K.C. Russell ◽  
H.I. Aaronson
Keyword(s):  
Homogeneous Nucleation ◽  
Nucleation Kinetics ◽  
Kinetics Of

scholarly journals Kinetics of activation and inactivation of swelling-stimulated K+/Cl- transport. The volume-sensitive parameter is the rate constant for inactivation.

1990 ◽  
Vol 95 (6) ◽  
pp. 1021-1040 ◽  
Author(s):  
M L Jennings ◽  
N al-Rohil
Keyword(s):  
Steady State ◽  
Rate Constants ◽  
Time Lag ◽  
Cell Swelling ◽  
Phosphatase Inhibitors ◽  
Kcl Transport ◽  
Lag Period ◽  
Activated Flux ◽  
Kinetics Of ◽  
Hypotonic Swelling

Red blood cells of several species are known to exhibit a ouabain-insensitive, anion-dependent K+ (Rb+) flux that is stimulated by cell swelling. We have used rabbit red cells to study the kinetics of activation and inactivation of the flux upon step changes in tonicity. Sudden hypotonic swelling (210 mosmol) activates the flux after a lag period of 10 min at 37 degrees C and 30-50 min at 25 degrees C. In cells that were preswollen to activate the transporter, sudden shrinkage (by addition of hypertonic NaCl) causes a rapid inactivation of the flux; the time lag for inactivation is less than 2 min at 37 degrees C. A minimal model of the volume-sensitive KCl transport system requires two states of the transporter. The activated (A) state catalyzes transport at some finite rate (turnover number unknown because the number of transporters is unknown). The resting (R) state has a much lower or possibly zero transport rate. The interconversion between the states is characterized by unimolecular rate constants R k12 in equilibrium with k21 A. The rate of relaxation to any new steady state is equal to the sum of the rate constants k12 + k21. Because the rate of transport activation in a hypotonic medium is lower than the rate of inactivation in an isotonic medium, we conclude that the volume-sensitive rate process is inactivation (the A to R transition); that is, cell swelling activates transport by lowering k21. Three phosphatase inhibitors (fluoride, orthovanadate, and inorganic phosphate) all inhibit the swelling-activated flux and also slow down the rate of approach to the swollen steady state. This finding suggests that a net dephosphorylation is necessary for activation of the flux and that the net dephosphorylation takes place as a result of swelling-induced inhibition of a kinase rather than stimulation of a phosphatase.

The Freezing of n-Alkanes C15H32 and C17H36: An Unsual Mechanism of Homogeneous Nucleation

2003 ◽  
Vol 217 (12) ◽  
pp. 1597-1612
Author(s):  
Inez Weidinger ◽  
Juliane Klein ◽  
Peter Stöckel ◽  
E. Biller ◽  
Helmut Baumgärtel ◽  
...  
Keyword(s):  
Phase Transition ◽  
Homogeneous Nucleation ◽  
Nucleation Process ◽  
Nucleation Kinetics ◽  
Solid Layer ◽  
Elastic Light Scattering ◽  
Scattering Pattern ◽  
Electrodynamic Balance ◽  
Induction Times ◽  
Kinetics Of

AbstractThe nucleation kinetics of n-alkane droplets with carbon numbers of 15 and 17 was observed in an electrodynamic balance. Changes in the elastic light scattering pattern of the single levitated microdroplets indicate the phase transition liquid to solid. Measurements of the nucleation rates gave information on the dynamics of the nucleation process and allow to propose a new mechanism for the nucleation. Large induction times observed for the C15H32 droplets indicate that the nucleation starts after a solid layer has been built up at the surface.

Homogeneous Nucleation Kinetics of Ice from Water

1970 ◽  
Vol 41 (7) ◽  
pp. 3027-3036 ◽  
Author(s):  
G. R. Wood ◽  
A. G. Walton
Keyword(s):  
Homogeneous Nucleation ◽  
Nucleation Kinetics ◽  
Kinetics Of

Homogeneous and Heterogeneous Nucleation of Oxygen in Si-CZ

2011 ◽  
Vol 178-179 ◽  
pp. 495-500
Author(s):  
Josef Kubena ◽  
Alan Kubena ◽  
Ondřej Caha ◽  
Mojmir Meduna
Keyword(s):  
Homogeneous Nucleation ◽  
Annealing Temperature ◽  
Nucleation Theory ◽  
Classical Nucleation Theory ◽  
Nucleation Kinetics ◽  
Czochralski Silicon ◽  
Oxygen Precipitate ◽  
Different Populations ◽  
The Impact ◽  
Kinetics Of

We present numerical simulations of nucleation kinetics of vacancies and interstitials during RTA and we study the impact of annealing temperature on bulk micro defect concentration. Since the concentration of vacancies and oxygen and also its diffusion kinetics are significantly different inside Czochralski silicon, we assume the nucleation of vacancies and oxygen independent on each other. We show that different populations of voids formed during RTA can influence formation of oxygen precipitate nuclei. According to classical nucleation theory the homogeneous nucleation dominates around temperatures 500 °C while the calculation of oxygen diffusion into the voids shows that the oxygen clusters over the critical size can be formed above temperatures 700 °C. The nuclei concentration of BMD is thus the superposition of homogeneous nucleation below 700 °C and heterogeneous one prevailing above 700 °C.

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