Isothermal vapor-liquid equilibria, excess molar volume and the deviation of refractive indices for binary mixtures of 1-butanol, 1-hexanol, 3-methyl-1-butanol and butyl acetate

Study of Density, Surface Tension, and Refractive Index of Binary Mixtures Containing Alkyl Levulinate and n-Alcohol from 298.15 to 323.15 K

“…The property deviation increases with an increasing chain length of alcohol from 1-butanol to 1hexanol for binary mixtures of 3-methyl-1-butanol with 1alcohol. 37 In another study on binary mixtures of ethanol with benzene and pyridine, the ΔR of the ethanol−pyridine mixture is less negative compared to the ethanol−benzene mixture. 31 The molar refraction deviation can be used to measure the strength of the interaction between components in a mixture.…”

“…In this study, for Vm E and other cases, the best fit for eq 3 was obtained using a total of four fitting parameters: A 0 , A 1 , A 2 , and A 3 . In other studies, the fitting has featured a different number of parameters, including two, 31 three, 31,46−49 four, 14,15,31,32,36,39,50 five, 5,10,13,45 and six 37 parameters, where the optimal number of fitting parameters were determined using several approaches, such as inspection of the variation of the standard deviation, 6,10,44,46−48 F-test, 31,36 and Akaike Information Criteria. 37 Equations 3 and 4 were also used to determine the standard deviation of other deviation properties, surface tension deviation (Δγ) and molar refraction deviation (ΔR), where Y is the value of the respective deviation property, as will be discussed in the subsequent sections.…”

“…In other studies, the fitting has featured a different number of parameters, including two, 31 three, 31,46−49 four, 14,15,31,32,36,39,50 five, 5,10,13,45 and six 37 parameters, where the optimal number of fitting parameters were determined using several approaches, such as inspection of the variation of the standard deviation, 6,10,44,46−48 F-test, 31,36 and Akaike Information Criteria. 37 Equations 3 and 4 were also used to determine the standard deviation of other deviation properties, surface tension deviation (Δγ) and molar refraction deviation (ΔR), where Y is the value of the respective deviation property, as will be discussed in the subsequent sections. The values of fitting parameters, A i , and standard deviation, σ, from fitting the Redlich−Kister equation to the observed excess molar volumes (Vm E ) are summarized in Table 5.…”

“…The deviation of refractometry property for binary mixture is also influenced by molecular interactions, size, and structures of the molecules. 37 Unlike the refractive index, which is dependent on the temperature, the molar refractivity, R, for a substance is nearly independent of the temperature. 67 This condition is supported by the data of the current binary mixtures, as only a slight difference of R was observed as the temperature increased.…”

“…In this study, for V m E and other cases, the best fit for eq was obtained using a total of four fitting parameters: A 0 , A 1 , A 2 , and A 3 . In other studies, the fitting has featured a different number of parameters, including two, three, ,− four, ,,,,,, five, ,,, and six parameters, where the optimal number of fitting parameters were determined using several approaches, such as inspection of the variation of the standard deviation, ,,,− F -test, , and Akaike Information Criteria …”