Model of apparent crystal growth rate and kinetics of seeded precipitation from sodium aluminate solution

In attempts to obtain protein crystals of a sufficient size for structural studies, lack of knowledge of the physicochemical properties of protein solutions and of their crystal-growth behaviour lead to a bottleneck for drug design as well as for X-ray crystallography. Most formal investigations on crystal-growth phenomena have been focused on equilibrium studies, where the protein is soluble, and on the kinetics of crystal growth, which is related to both nucleation and crystal-growth phenomena. The aim of this work is to measure the crystal-growth rate along a capillary tube used as a growing cell. These experiments were carried out using the gel-acupuncture technique [García-Ruiz et al. (1993). Mater. Res. Bull. 28, 541–546; García-Ruiz & Moreno (1994). Acta Cryst. D50, 484–490; García-Ruiz & Moreno (1997). J. Cryst. Growth, 178, 393–401]. Crystal-growth investigations took place using lysozyme and thaumatin I as standard proteins. The maximum average growth rate obtained in the lower part of the capillary tube was about 35 Å s−1 and the minimum average growing rate in the upper part of the capillary tube was about 8 Å s−1. The crystal-growth rate as a function of the supersaturation was experimentally estimated at a constant height along the capillary tube.

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Precipitation Reaction of Aluminum Hydroxide from Sodium Aluminate Solution in View of Alumina Manufacturing Process. VIII-X. VIII. Discussion on the Kinetics of Aluminum Hydroxide Precipitation Reaction

The Journal of the Society of Chemical Industry Japan ◽

10.1246/nikkashi1898.66.2_172 ◽

1963 ◽

Vol 66 (2) ◽

pp. 172-177 ◽

Cited By ~ 2

Author(s):

Jun-ichiro Shimosato

Keyword(s):

Aluminum Hydroxide ◽

Manufacturing Process ◽

Sodium Aluminate ◽

Precipitation Reaction ◽

Aluminate Solution ◽

Sodium Aluminate Solution ◽

Kinetics Of

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Studies on nucleation and crystal growth kinetics of plutonium(IV) oxalatex

Radiochimica Acta ◽

10.1515/ract-2021-1074 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Chuanbo Li ◽

Bo Wang ◽

Xiang Li ◽

Taihong Yan ◽

Weifang Zheng

Keyword(s):

Growth Rate ◽

Crystal Growth ◽

Nucleation Rate ◽

Crystal Growth Rate ◽

Acid Solutions ◽

Dilution Ratio ◽

Secondary Nucleation ◽

Supersaturation Ratio ◽

Crystal Growth Kinetics ◽

Kinetics Of

Abstract A new method is developed to calculate the dilution ratio N of the two reactant solutions during nucleation rate determination. When the initial apparent supersaturation ratio S N = f(N) in the dilution tank is controlled between 1.66 and 1.67, the counted nuclei is the most, both nuclei dissolving and secondary nucleation avoided satisfactorily. Based on this methoed, Plutonium(IV) oxalate is precipitated by mixing equal volumes of tetravalent plutonium nitrate and oxalic acid solutions. Experiments are carried out by varying the supersaturation ratio from 8.37 to 22.47 and temperature from 25 to 50 °C. The experimental results show that the nucleation rate of plutonium(IV) oxalate in the supersaturation range cited above can be expressed by the equation R N = A N exp(−E a /RT)exp[−B/(ln S)2], where A N = 4.8 × 1023 m−3 s−1 , and E a = 36.2 kJ mol−1, and B = 20.2. The crystal growth rate of plutonium(IV) oxalate is determined by adding seed crystals into a batch crystallizer. The crystal growth rate can be expressed by equation G(t) = k g exp(−E’ a /RT) (c − c eq) g , where k g = 7.3 × 10−7 (mol/L)−1.1(m/s), E’ a = 25.7 kJ mol−1, and g = 1.1.

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Influence of magnetic field on the seeded precipitation of gibbsite from sodium aluminate solution

Minerals Engineering ◽

10.1016/j.mineng.2012.02.015 ◽

2012 ◽

Vol 32 ◽

pp. 12-18 ◽

Cited By ~ 7

Author(s):

Xiaobin Li ◽

Danqin Wang ◽

Qiusheng Zhou ◽

Guihua Liu ◽

Zhihong Peng

Keyword(s):

Magnetic Field ◽

Sodium Aluminate ◽

Aluminate Solution ◽

Sodium Aluminate Solution ◽

Seeded Precipitation

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Effects of Na4EDTA and EDTA on seeded precipitation of sodium aluminate solution

Transactions of Nonferrous Metals Society of China ◽

10.1016/s1003-6326(10)60008-8 ◽

2010 ◽

Vol 20 ◽

pp. s37-s41 ◽

Cited By ~ 9

Author(s):

Bao-lin LÜ ◽

Qi-yuan CHEN ◽

Zhou-lan YIN ◽

Hui-ping HU

Keyword(s):

Sodium Aluminate ◽

Aluminate Solution ◽

Sodium Aluminate Solution ◽

Seeded Precipitation

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Co-Crystallization Kinetics of 2:1 Benzoic Acid–Sodium Benzoate Co-Crystal: The Effect of Templating Molecules in a Solution

Crystals ◽

10.3390/cryst11070812 ◽

2021 ◽

Vol 11 (7) ◽

pp. 812

Author(s):

Freshsya Zata Lini ◽

Dhanang Edy Pratama ◽

Tu Lee

Keyword(s):

Growth Rate ◽

Free Energy ◽

Crystal Growth ◽

Energy Barrier ◽

Crystal Growth Rate ◽

Supramolecular Assemblies ◽

Solution Phase ◽

Crystal Habit ◽

Free Energy Barrier ◽

Kinetics Of

The addition of dissolved templating molecules in crystallization will create “supramolecular assemblies” within the solution, serving as “anchor points” for the solute molecules to nucleate and grow. In this work, nucleation and crystal growth kinetics of 2:1 benzoic acid (HBz)–sodium benzoate (NaBz) co-crystallization with or without templates in a solution were analyzed by monitoring the concentration of the mother liquor during cooling crystallization. The results showed that the addition of the dissolved 2:1 or 1:1 HBz–NaBz co-crystals as templating molecules could reduce the critical free energy barrier of 2:1 HBz–NaBz co-crystal during its nucleation, but did not significantly affect the order of crystal growth rate. On the other hand, the critical free energy barrier of the nucleation process was increased if dissolved NaBz was used as a templating molecule, while a significant rise in the order of crystal growth rate occurred. The crystal habit obtained from the NaBz-templated system was needle-like, suggesting that sodium–sodium coordination chains of NaBz supramolecular assemblies in the solution phase were responsible for creating elongated crystals. Conversely, a large prismatic crystal habit found in non-templated and 2:1 and 1:1 HBz–NaBz co-crystal-templated systems implied that those templating molecules formed sparsely interconnected supramolecular assemblies in the solution phase.

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