Further Development of Scaled Particle Theory for Rigid Spheres: Application of the Statistical Thermodynamics of Curved Surfaces
Further Development of Scaled Particle Theory for Rigid Spheres: Application of the Statistical Thermodynamics of Curved Surfaces
复制标题
刚性球尺度粒子理论的进一步发展：曲面统计热力学的应用
DOI：
10.1063/1.1676297
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发表时间：
1971
影响因子：
4.4
通讯作者：
D. Tully‐Smith
中科院分区：
文献类型：
--
作者：
H. Reiss;D. Tully‐Smith
曲面的热力学和统计热力学被用来研究尺度粒子理论，作为宏观思想到分子领域的延伸。热力学表达式G（r），缩放粒子理论的中心功能，推导出这是精确的r近似分子直径的值，但其中包含的参数，只能指定的基础上的分子信息。这些参数是压力p; γs，对应于张力表面的表面张力;和δ1，张力表面与属于“r‐cule”或溶质硬球的半径为r的表面的距离。γs和δ1取决于r和密度ρ，而p取决于ρ。它表明，G的形式选择在原来的（1959年）标度粒子理论代表了一个不一致的，但幸运的扩展到分子领域的宏观思想。在引入另一个参数δ后，张力面与张力面之间的距离为δ。
The thermodynamics and statistical thermodynamics of curved surfaces are used to investigate scaled particle theory as an extension of macroscopic ideas into the molecular domain. A thermodynamic expression for G(r), the central function of scaled particle theory, is derived which is exact down to values of r approximating molecular diameters but which contains parameters which can only be specified on the basis of molecular information. These parameters are the pressure p; γs, the surface tension corresponding to the surface of tension; and δ1, the distance of the surface of tension from the surface of radius r belonging to the “r‐cule” or solute hard sphere. γs and δ1 depend upon both r and the density ρ, while p depends on ρ. It is shown that the form for G chosen in the original (1959) scaled particle theory represented an inconsistent but fortunate extension of macroscopic ideas into the molecular domain. Upon the introduction of yet another parameter, δ, the distance between the surface of tension a...