solubility equation
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Author(s):  
Eftychios Hadjittofis ◽  
Silvia M. Vargas ◽  
James D. Litster ◽  
Kyra L. Sedransk Campbell

The interplay between polymorphism and facet-specific surface energy on the dissolution of crystals is examined in this work. It is shown that, using cationic additives, it is possible to produce star-shaped calcite crystals at very high supersaturations. In crystallization processes following the Ostwald rule of stages these star-shaped crystals appear to have higher solubility than both their rhombohedral counterparts and needle-shaped aragonite crystals. The vapour pressures of vaterite, aragonite, star-shaped calcite and rhombohedral calcite crystals are measured using thermogravimetric analysis and the corresponding enthalpies of melting are obtained. Using inverse gas chromatography, the surface energy of the aforementioned crystals is measured as well and the surface energy of the main crystal facets is calculated. Combining the effect of facet-specific surface energies and the enthalpies of melting on a modified version of the classical solubility equation for regular solutions, it is proved that the star-shaped calcite crystals can indeed have higher apparent solubility than aragonitecrystals.


ADMET & DMPK ◽  
2020 ◽  
Author(s):  
Alex Avdeef ◽  
Manfred Kansy

<p class="ADMETabstracttext">The aim of the study was to explore to what extent small molecules (mostly from the Rule of 5 chemical space) can be used to predict the intrinsic aqueous solubility, S<sub>0</sub>, of big molecules from beyond the Rule of 5 (bRo5) space. It was demonstrated that the General Solubility Equation (GSE) and the Abraham Solvation Equation (ABSOLV) underpredict solubility in systematic but slightly ways. The Random Forest regression (RFR) method predicts solubility more accurately, albeit in the manner of a ‘black box.’ It was discovered that the GSE improves considerably in the case of big molecules when the coefficient of the log P term (octanol-water partition coefficient) in the equation is set to -0.4 instead of the traditional -1 value. The traditional GSE underpredicts solubility for molecules with experimental S<sub>0</sub> &lt; 50 µM. In contrast, the ABSOLV equation (trained with small molecules) underpredicts the solubility of big molecules in all cases tested. It was found that the errors in the ABSOLV-predicted solubilities of big molecules correlate linearly with the number of rotatable bonds, which suggests that flexibility may be an important factor in differentiating solubility of small from big molecules. Notably, most of the 31 big molecules considered have negative enthalpy of solution: these big molecules become less soluble with increasing temperature, which is compatible with ‘molecular chameleon’ behavior associated with intramolecular hydrogen bonding. The X‑ray structures of many of these molecules reveal void spaces in their crystal lattices large enough to accommodate many water molecules when such solids are in contact with aqueous media. The water sorbed into crystals suspended in aqueous solution may enhance solubility by way of intra-lattice solute-water interactions involving the numerous H‑bond acceptors in the big molecules studied. A ‘Solubility Enhancement–Big Molecules’ index was defined, which embodies many of the above findings. <strong></strong></p>


Molecules ◽  
2019 ◽  
Vol 25 (1) ◽  
pp. 44 ◽  
Author(s):  
Floriane Montanari ◽  
Lara Kuhnke ◽  
Antonius Ter Laak ◽  
Djork-Arné Clevert

Simple physico-chemical properties, like logD, solubility, or melting point, can reveal a great deal about how a compound under development might later behave. These data are typically measured for most compounds in drug discovery projects in a medium throughput fashion. Collecting and assembling all the Bayer in-house data related to these properties allowed us to apply powerful machine learning techniques to predict the outcome of those assays for new compounds. In this paper, we report our finding that, especially for predicting physicochemical ADMET endpoints, a multitask graph convolutional approach appears a highly competitive choice. For seven endpoints of interest, we compared the performance of that approach to fully connected neural networks and different single task models. The new model shows increased predictive performance compared to previous modeling methods and will allow early prioritization of compounds even before they are synthesized. In addition, our model follows the generalized solubility equation without being explicitly trained under this constraint.


2019 ◽  
pp. 660-664
Author(s):  
Denis V. Arapov ◽  
Vladimir A. Kuritsyn ◽  
Sergey G. Tikhomirov ◽  
Vladimir V. Denisenko

A method to expand solubility equation for pure sugar solutions to a generalized solubility model has been developed. The proposed approach can be used to calculate the solubility of a substance in an impure solvent with the known equation of its solubility in a pure solvent. A generalized mathematical model of solubility of sucrose in pure and industrial solutions has been obtained. The adequacy of the model was tested on 6 samples of impure solutions, including a water-ethanol-sucrose mixture. The solubility of sucrose in ethanol for a mass concentration from 1.0 to 99.0% of ethanol in the solution is calculated.


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