Departamento de Física Aplicada, Universidad de Vigo, Campus de As Lagoas, 32004 Ourense, Spain.
J Chem Phys. 2011 Mar 7;134(9):094502. doi: 10.1063/1.3549828.
The temperature and pressure dependence of isobaric thermal expansivity, α(p), in liquids is discussed in this paper. Reported literature data allow general trends in this property that are consistent with experimental evidence to be established. Thus, a negative pressure dependence is to be expected except around the critical point. On the other hand, α(p) exhibits broad regions of negative and positive temperature dependence in the (T, p) plane depending on the nature of the particular liquid. These trends are rationalized here in terms of various molecular-based equations of state. The analysis of the Lennard-Jones, hard sphere square well and restricted primitive model equations allows understanding the differences in the α(p) behavior between liquids of diverse chemical nature (polar, nonpolar, and ionic): broader regions of negative temperature and positive pressure dependencies are obtained for liquids characterized by larger ranges of the interparticle potential. Also, using the statistical associating fluid theory (SAFT) allowed the behavior of more complex systems (basically, those potentially involving chain and association effects) to be described. The effect of chain length is rather simple: increasing it is apparently equivalent to raise the interaction range. By contrast, association presents a quite complex effect on α(p), which comes from a balance between the dispersive and associative parts of the interaction potential. Thus, if SAFT parameters are adjusted to obtain low association ability, α(p) is affected by each mechanism at clearly separate regions, one at low temperature, due to association, and the other to dispersive forces, which has its origin in fluctuations related with vapor-liquid transition.
本文讨论了等压热膨胀系数α(p)随温度和压力的变化关系。文献报道的数据确定了该性质的一般趋势,这些趋势与实验证据一致。因此,除了临界点附近,通常可以预期α(p)随压力的降低而降低。另一方面,α(p)在(T, p)平面上表现出宽的负温度和正压力依赖性区域,这取决于特定液体的性质。本文从各种基于分子的状态方程的角度来合理化这些趋势。对 Lennard-Jones、硬球方阱和受限原始模型方程的分析允许理解具有不同化学性质(极性、非极性和离子)的液体之间α(p)行为的差异:对于具有较大粒子间势能范围的液体,获得了更宽的负温度和正压力依赖性区域。此外,使用统计关联流体理论 (SAFT) 允许描述更复杂系统(基本上是那些可能涉及链和缔合效应的系统)的行为。链长的影响相当简单:增加链长显然相当于增加相互作用范围。相比之下,缔合对α(p)产生了相当复杂的影响,这来自于相互作用势能中色散和缔合部分之间的平衡。因此,如果调整 SAFT 参数以获得低缔合能力,α(p)会受到每个机制在明显不同区域的影响,一个是由于缔合而在低温下,另一个是由于与蒸汽-液体转变相关的波动引起的色散力。