This work reports experimental densities ρ, sound speeds u, and refractive indices n for the ternary system (toluene + n-hexane + cyclohexane) and related binary subsystems at 298.15 K and ambient pressure. Experimental data were used to derive excess molar volumes (\({V}_{m}^{E}\)), excess isentropic compressibilities (\({\kappa }_{S}^{E}\)), and refractive index deviations (Δn). Redlich–Kister and Cibulka's equations correlated the binary and ternary excess and deviation data, respectively, with standard deviations below the estimated uncertainties of the corresponding properties. The excess and deviation properties helped probe the interactions between mixture components. Furthermore, the Perturbed Chain Statistical Associating Fluid Theory Equation of State modeled the density of binary and ternary mixtures. Schaaff’s collision factor theory and Nomoto’s relation were compared for their capability to predict the sound speed of the studied mixtures. Mixing rules by Lorentz-Lorenz, Gladstone-Dale, Laplace, and Eykman modeled the mixtures' refractive indices. The average absolute percentage deviation between experimental and calculated values measured the models' predicting capabilities. The modeled densities are reasonably concordant with experimental data with deviations of 0.25%, 0.32%, 0.74%, and 0.31% for the binary n-hexane + cyclohexane, toluene + cyclohexane, and toluene + n-hexane, and ternary toluene + n-hexane + cyclohexane mixture, respectively. Nomoto’s relation was better for predicting binary (overall deviation of 0.46%) and ternary (deviation of 0.62%) sound speeds. Lorentz–Lorenz mixing rule was the best option for predicting binary (overall deviation of 0.08%) and ternary (deviation of 0.14%) refractive indices.

这项工作报告了三元系统（甲苯 + 正己烷+ 环己烷）和相关二元子系统在 298.15 K 和环境压力下的实验密度ρ、声速u和折射率n 。实验数据用于推导过量摩尔体积 ( \({V}_{m}^{E}\) )、过量等熵压缩率 ( \({\kappa }_{S}^{E}\) )和折射率偏差 (Δ n )。Redlich-Kister 和 Cibulka 方程分别将二元和三元过量和偏差数据与低于相应属性的估计不确定性的标准偏差相关联。过量和偏差特性有助于探究混合物成分之间的相互作用。此外，扰动链统计关联流体理论状态方程对二元和三元混合物的密度进行了建模。比较了沙夫的碰撞因子理论和野本关系式预测所研究混合物的声速的能力。Lorentz-Lorenz、Gladstone-Dale、Laplace 和 Eykman 的混合规则对混合物的折射率进行了建模。实验值和计算值之间的平均绝对百分比偏差衡量了模型的预测能力。对于二元正己烷+环己烷、甲苯+环己烷、甲苯+正己烷和三元甲苯+ 正己烷， 模型密度与实验数据相当一致，偏差分别为0.25%、0.32%、0.74%和0.31 %。分别为己烷+环己烷混合物。野本关系式更适合预测二元（总体偏差 0.46%）和三元（偏差 0.62%）声速。洛伦兹-洛伦兹混合规则是预测二元（总体偏差 0.08%）和三元（偏差 0.14%）折射率的最佳选择。