Department of Chemistry, University College London, 20 Gordon Street, London WC1H 0AJ, United Kingdom.
J Phys Chem B. 2011 Dec 1;115(47):13854-61. doi: 10.1021/jp200378q. Epub 2011 Nov 7.
We have employed atomistic simulation techniques to investigate the thermodynamics of mixing in the solid solutions of calcite (CaCO(3)) and rhodochrosite (MnCO(3)). Our calculations show that the fully disordered solid solution has positive enthalpies of mixing for the entire range of compositions, which confirm recent experiments. The consideration of a small degree of ordering in the simulations leads to mixing enthalpies in quantitative agreement with experimental measurements. We argue that earlier measurements of negative mixing enthalpies for the Mn-rich solid solution were probably due to relatively high degrees of ordering in the samples. Our calculations show that the lowest energy configuration for each composition is always the one that maximizes the homogeneity of the cations within (0001) layers but maximizes the heterogeneity across layers. In particular, for Mn/Ca = 1, the most stable configuration corresponds to the ordered structure of kutnahorite, where layers of Ca and Mn ions alternate along the c axis, similar to the Ca/Mg ordering in dolomite. Our simulations predict that kutnahorite becomes less stable than the fully disordered 50:50 solid solution at ~850 K, and this disordering temperature decreases to a value in better agreement with experiment (695 K), if a transition to a partially ordered structure is considered. Our results thus suggest that the "disordered" (Mn,Ca)CO(3) solid solutions, which are known to be favored by kinetic factors, are actually not fully disordered, but contain a higher abundance of lower-energy cation arrangements than that expected from a completely random distribution.
我们采用原子模拟技术研究了方解石(CaCO(3))和菱锰矿(MnCO(3))固溶体的混合热力学。我们的计算表明,完全无序的固溶体在整个组成范围内具有正的混合焓,这与最近的实验结果相符。在模拟中考虑少量有序度会导致混合焓与实验测量值定量一致。我们认为,早期富锰固溶体的负混合焓测量结果可能是由于样品中存在较高程度的有序度。我们的计算表明,对于每种组成,最低能量的构型始终是最大化(0001)层内阳离子均匀性但最大化层间异质性的构型。特别是对于 Mn/Ca = 1,最稳定的构型对应于水菱锰矿的有序结构,其中 Ca 和 Mn 离子层沿 c 轴交替排列,类似于白云石中的 Ca/Mg 有序。我们的模拟预测,水菱锰矿在约 850 K 时变得不如完全无序的 50:50 固溶体稳定,如果考虑到向部分有序结构的转变,这个无序化温度会降低到与实验更吻合的值(695 K)。因此,我们的结果表明,已知受动力学因素影响的“无序”(Mn,Ca)CO(3)固溶体实际上并非完全无序,而是包含比完全随机分布更高丰度的低能阳离子排列。