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.

scholarly journals Effects of CO 3 2− and OH − on the solubility, metastable zone width and nucleation kinetics of borax decahydrate

2019 ◽  
Vol 6 (6) ◽  
pp. 181862 ◽  
Author(s):  
Jing Chen ◽  
Jiaoyu Peng ◽  
Xingpeng Wang ◽  
Yaping Dong ◽  
Wu Li
Keyword(s):  
Sodium Hydroxide ◽  
Sodium Carbonate ◽  
Three Dimensional ◽  
Nucleation Theory ◽  
Theory Approach ◽  
Nucleation Kinetics ◽  
Metastable Zone Width ◽  
Zone Width ◽  
Liquid Interfacial Energy ◽  
Metastable Zone

Measurements of the solubility and metastable zone width (MZW) of borax decahydrate in sodium carbonate and sodium hydroxide aqueous were obtained. The onsets of nucleation were detected by the turbidity technique with the temperature range from 285 to 315 K. The results showed that the solubility of borax gradually decreased and the MZW broadened with the mass percentage of sodium carbonate increasing from 0% up to 9.22%. Correspondingly, the solubility and MZW had the same trend with the addition of sodium hydroxide. Meanwhile, the nucleation parameters of borax were determined and analysed to explain the trends obtained. Applying the classical three-dimensional nucleation theory approach, it was found that the addition of carbonate and hydroxide ions led to the values of solid–liquid interfacial energy ( γ ) increasing, which indicated the CO 3 2− and OH − ions adsorbed on the nuclei but suppressed nucleation rate.

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.

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.

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