Comparison of the interfacial energy and pre-exponential factor calculated from the induction time and metastable zone width data based on classical nucleation theory

2016 ◽  
Vol 450 ◽  
pp. 50-55 ◽  
Author(s):  
Lie-Ding Shiau
Keyword(s):  
Interfacial Energy ◽  
Induction Time ◽  
Nucleation Theory ◽  
Classical Nucleation Theory ◽  
Exponential Factor ◽  
Metastable Zone Width ◽  
Zone Width ◽  
Metastable Zone

Comment on “Relation between metastable zone width and induction time of butyl paraben in ethanol” by H. Yang, CrystEngComm, 2015, 17, 577

CrystEngComm ◽  
2015 ◽  
Vol 17 (23) ◽  
pp. 4402-4404 ◽  
Author(s):  
Lie-Ding Shiau
Keyword(s):  
Integral Equation ◽  
Induction Time ◽  
Nucleation Theory ◽  
Classical Nucleation Theory ◽  
Metastable Zone Width ◽  
Zone Width ◽  
Metastable Zone

An integral equation is developed to predict MSZW from the induction time results based on the classical nucleation theory.

scholarly journals A Linear Regression Model for Determining the Pre-Exponential Factor and Interfacial Energy Based on the Metastable Zone Width Data

Crystals ◽  
2020 ◽  
Vol 10 (2) ◽  
pp. 103
Author(s):  
Lie-Ding Shiau
Keyword(s):  
Linear Regression ◽  
Regression Model ◽  
Interfacial Energy ◽  
Linear Regression Model ◽  
Nucleation Theory ◽  
Theory Approach ◽  
Exponential Factor ◽  
Metastable Zone Width ◽  
Zone Width ◽  
Metastable Zone

A linear regression model is presented in this study to determine the pre-exponential factor and interfacial energy of the crystallized substance based on classical nucleation theory using the metastable zone width data. The nucleation event is assumed corresponding to a point at which the total number density of the nuclei has reached a fixed (but unknown) value. One equation is derived for any temperature-dependent functional form of the solubility. Another equation is derived for the van’t Hoff solubility expression. The pre-exponential factor and interfacial energy obtained from these two equations are found consistent for the studied systems, including glutamic acid, glycine, and 3-nito-1,2,4-triazol-5-one. The results obtained from these two equations are also compared with those obtained from the integral method and classical 3D nucleation theory approach.

Relation between metastable zone width and induction time of butyl paraben in ethanol

CrystEngComm ◽  
2015 ◽  
Vol 17 (3) ◽  
pp. 577-586 ◽  
Author(s):  
Huaiyu Yang
Keyword(s):  
Kinetic Parameters ◽  
Induction Time ◽  
Nucleation Theory ◽  
Classical Nucleation Theory ◽  
Metastable Zone Width ◽  
Zone Width ◽  
Metastable Zone ◽  
Thermodynamic And Kinetic Parameters ◽  
Experimental Values

A relation between induction time and metastable zone width has been developed based on Classical Nucleation Theory, by which relation metastable zone width has been extrapolated from the induction time results and compared with experimental values. Influences of several thermodynamic and kinetic parameters on metastable zone width have been estimated.

A model for determination of the interfacial energy from the induction time or metastable zone width data based on turbidity measurements

CrystEngComm ◽  
2014 ◽  
Vol 16 (41) ◽  
pp. 9743-9752 ◽  
Author(s):  
Lie-Ding Shiau ◽  
Tsan-Sheng Lu
Keyword(s):  
Interfacial Energy ◽  
Induction Time ◽  
Metastable Zone Width ◽  
Zone Width ◽  
Metastable Zone

A model is developed to recover the interfacial energy from the induction time and the metastable zone width data.

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