Determination of Metastable Zone Width, Induction Period and Interfacial Energy of a Ferroelectric Crystal ‐ Potassium Ferrocyanide Trihydrate (KFCT)

Kanagadurai, R.; Durairajan, R.; Sankar, R.; Sivanesan, G.; Elangovan, S. P.; Jayavel, R.

doi:10.1155/2010/903061

Cited by 4 publications

(3 citation statements)

References 10 publications

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“…The driving force for the nucleation from the supersaturated solution is ΔG v * = (−K T/v) ln S, where v is the molar volume of the crystal, T is the absolute temperature, S is the supersaturation ratio, and K is the Boltzmann's constant (1.38 × 10 -23 J K −1 ). The Gibbs free energy obeys in the critical state that d(ΔG)/dr = 0 and hence the relations [25,26] for critical nucleation parameters are obtained as follows. The critical radius is r* = 2σ/ΔG* or r* = 2 σv N/RT ln S; the Gibbs critical free energy change is ΔG* = mRT/N(ln S) 2 ; the interfacial energy is σ = (RT/N) [3m/16πv 2 ] 1/3 , where N is the Avogadro number; and R is the universal gas constant.…”

Section: Theorymentioning

confidence: 99%

Investigations on critical parameters, growth, structural and spectral studies of beta-alaninium picrate (BAP) single crystals

Shanthi¹,

Selvarajan²,

Perumal

2014

Phys. Scr.

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Beta-alaninium picrate (BAP) salt has been synthesized and the solubility of the synthesized sample in double distilled water was determined at different temperatures. Solution stability was studied by observing the metastable zone width by employing the polythermal method. Induction period values for different supersaturation ratios at room temperature were determined based on the isothermal method. The nucleation parameters such as critical radius, critical free energy change, interfacial tension, and nucleation rate have been estimated for BAP salt on the basis of the classical nucleation theory. The lattice parameters of the grown BAP crystal were determined using the x-ray diffraction (XRD) technique. The reflection planes of the sample were confirmed by the powder XRD study and diffraction peaks were indexed. Fourier transform infrared spectroscopy and Fourier transform-Raman studies were used to confirm the presence of various functional groups in the BAP crystal. The nonlinear optical property of the grown crystal was studied using the Kurtz-Perry powder technique. UV-visible spectral studies were carried out to understand optical transparency and the type of band gap of the grown BAP crystal.

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Section: Theorymentioning

confidence: 99%

Investigations on critical parameters, growth, structural and spectral studies of beta-alaninium picrate (BAP) single crystals

Shanthi¹,

Selvarajan²,

Perumal

2014

Phys. Scr.

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“…The solubility corresponds to the equilibrium between a solid and its solution at a given temperature and pressure. Thermodynamically, this means that the chemical potential of the pure solid is equal to the chemical potential of the same solute in the saturated solution [2]. On the one hand, it is desirable to select a solvent in which it is moderately soluble to grow high quality crystal.…”

Section: Solubility Measurementmentioning

confidence: 99%

Determination of Metastable Zone Width, Induction, Period and Interfacial Energy of (R)-3-(methylamino)-1-Phenylpropanol Hydrochloride

Zhu

Lei

Wang

et al. 2011

AMR

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Solubility, metastable zone width and induction period of (R)-3-(methylamino)-1-phenylpropanol hydrochloride (MPH) in ethanol were determined by synthetic method at atmospheric pressure. The measured induction period data are also used to estimate the interfacial tension values of the system. The determined interfacial tension values have been also used to evaluate the nucleation parameters, such as the radius of the critical nuclei, the free energy change per unit volume, the critical free energy barriers.

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“…Theoretically, crystals will precipitate when the solution reaches supersaturation. However, some researches show that it takes some time from the formation of supersaturation to the appearance of a stable crystal nucleus. − This period is called the induction time. If the induction time of supersaturated solution can be predicted, then spontaneous nucleation can be avoided by adjusting the average residence time to be less than the induction time.…”

Section: Introductionmentioning

confidence: 99%

Intensive Research on the Nucleation Induction Time in Cooling Crystallization of the Myo-inositol–Water System: Data Measurement and Establishment of Prediction Models

Zheng,

Deng,

2023

Ind. Eng. Chem. Res.

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In order to solve the problem including tiny particle size and pipeline scaling caused by the spontaneous nucleation of inositol supersaturated liquid, the nucleation induction time of the myo-inositol−water system was studied comprehensively in this work. Supersaturation, temperature, and stirring linear velocity were chosen as factors; sufficient induction time data are measured under different conditions. Based on classical nucleation theory, temperature and stirring linear velocity were introduced into the fitting model of the induction time. In the glass crystallizer, two prediction models for the induction time were obtained by fitting the data from homogeneous and heterogeneous zones, respectively. The calculated values were in good agreement with the experimental values. Root-mean-square deviation and mean relative deviation were also used as evaluation indicators of the equations. In order to facilitate industrial applications, crystallizers made of 304 and 316 steels were used to conduct experiments, and the data obtained were used to determine the correction factor. Finally, the correction factor for the model was determined to be 0.85 in the homogeneous zone and 0.90 in the heterogeneous zone. Due to the margin of the correction factor, all predicted values are slightly lower than the experimental values. The induction time data of the inositol solution obtained under 16 different conditions were used to test the prediction model, and the results showed that the model was reliable. The results of this study are instructive for reducing the spontaneous nucleation of myo-inositol cooling crystallization and inspiring to the prediction method of induction time.

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Determination of Metastable Zone Width, Induction Period and Interfacial Energy of a Ferroelectric Crystal ‐ Potassium Ferrocyanide Trihydrate (KFCT)

Cited by 4 publications

References 10 publications

Investigations on critical parameters, growth, structural and spectral studies of beta-alaninium picrate (BAP) single crystals

Investigations on critical parameters, growth, structural and spectral studies of beta-alaninium picrate (BAP) single crystals

Determination of Metastable Zone Width, Induction, Period and Interfacial Energy of (R)-3-(methylamino)-1-Phenylpropanol Hydrochloride

Intensive Research on the Nucleation Induction Time in Cooling Crystallization of the Myo-inositol–Water System: Data Measurement and Establishment of Prediction Models

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