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題名 | Improved MSA Theory for Concentrated Electrolyte Solutions Based on Monte Carlo Simulation at High Ionic Strengths=應用於高濃度電解值溶液之改良式MSA理論--高離子強度下之蒙地卡羅模擬 |
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作者 | Lee,Lloyd L.; Llano-restrepo,Mario; Chapman,Walter G.; Shukla,Keshawa P.; |
期刊 | Journal of the Chinese Institute of Chemical Engineers |
出版日期 | 19960700 |
卷期 | 27:4 1996.07[民85.07] |
頁次 | 頁213-233 |
分類號 | 341.372 |
語文 | eng |
關鍵詞 | 高濃度電解值溶液; MSA理論; 高離子; 蒙地卡羅模擬; Monte carlo simulation; Electrolyte solution; Mean spherical approximation theory; Hypernetted-chain equation; Hypervertex equations; |
英文摘要 | Current search for valid ionic solution properties correlations at high concentrations has focused on the mean spherical approximation (MSA) because of its ability to treat ion size effects. We propose a fundamentally sound modification of the MSA based on comparisons with new Monte Carlo simulations for aqueous salt solutions. The osmotic coefficient ψ=P□/pk□Tin this study is decomposed into three parts in line with the primitive-model pair potentials. The more familiar long-range (Coulombic), and the contact hard-core parts are well reproduced by most approximate ionic theories. The short-range electrostatic (SRE) contribution is the part that poses as a challenge to many theoretical efforts. In order to characterize the SRE behavior, Monte Carlo simulation with Ewald sum is carried out for 1-1 electrolytes up to 15 molar. The short-range electrostatic ψ'□ is a non-negligible quantity that can reach 30% of the value of the long-rangeψ'□. Any ionic solution theory that ignoresψ'□ will incur inaccuracies. An interesting behavior of the SRE ψ is a unimodal maximum as the molarity M varies from 0 to 15. This takes place an ~10M for aqueous LiCl solutions, well beyond the ranges investigated by most existing simulation data. The new MC data cover L.01, 2.2, 3.4, 4.3, 5.3 and 6.4 molar for NaCl, and in addition, 7.5, 10, 12.5 and 15 molar for LiCl solutions. The diameter ratio σ__/σ₊₊ ranges from 1 to 3. To interpret this behavior, we examine a number of prevailing theories including the mean spherical approximation (MSA), hypernetted-chain (HNC) equation, hypervertex equations, and number of modified MSA equation (such as LIN, LIN+SQ and EXP). In addition to 1-1 electrolytes, comparisons are also made with molten salt (at Bjerrum lengths ~30) and 2-2 electrolyte data. Some of our observations are consistent with previous studies on primitive model systems based on leas extensive simulation data sets. However, none of the analytical theories (HNC presently excluded) are able to reproduce MC results for wide ranges. We propose two analytical formulations: MIXL and MIXQ based on the MSA solutions from Blum and Hoye for this purpose. These have been tested: MIXQ is good for concentrated electrolyte solutions (up to 15M), and MIXL is valid for high Bjerrum length molten salts. |
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