New Method of NPOH Equation-Based to Estimate the Physicochemical Properties of Noncyclic Alkanes

Abstract

Changes in various physicochemical properties (P (n) ) of noncyclic alkanes can be roughly classified as linear and nonlinear changes. In our previous study, the NPOH equation was proposed to express nonlinear changes in the properties of organic homologues. Until now, there has been no general equation to express nonlinear changes in the properties of noncyclic alkanes involving linear and branched alkane isomers. This work, on the basis of NPOH equation, proposes a general equation to express nonlinear changes in the physicochemical properties of noncyclic alkanes, including a total of 12 properties, boiling point, critical temperature, critical pressure, acentric factor, heat capacity, liquid viscosity, and flash point, named as the "NPNA equation", as follows: ln(P, where a, b, c, and f are coefficients, and P (n) represents the property of the alkane with n carbon atom number. n, S CNE , ΔAOEI, and ΔAIMPI are number of carbon atoms, sum of carbon number effects, average odd− even index difference, and average inner molecular polarizability index difference, respectively. The obtained results show that various nonlinear changes in the properties of noncyclic alkanes can be expressed by the NPNA equation. Nonlinear and linear change properties of noncyclic alkanes can be correlated with four parameters, n, S CNE , ΔAOEI, and ΔAIMPI. The NPNA equation has the advantages of uniform expression, usage of fewer parameters, and high estimation accuracy. Furthermore, using the above four parameters, a quantitative correlation equation can be established between any two properties of noncyclic alkanes. Employing the obtained equations as model equations, the property data of noncyclic alkanes, involving 142 critical temperatures, 142 critical pressures, 115 acentric factors, 116 flash points, 174 heat capacities, 142 critical volumes, and 155 gas enthalpies of formation, a total of 986 values, were predicted, which have not be experimentally measured. NPNA equation not only can provide a simple and convenient estimation or prediction method for the properties of noncyclic alkanes but also can provide new perspectives for studying quantitative structure−property relationships of branched organic compounds.

Using the Intermolecular Interaction Index to Understand the Change in Boiling Points of Alkanes

“…For the boiling points of alkanes, Mihalić and Trinajstić reported some successful models involving different topological indices, and recently Cao and Cao reported a new model. Here we compare the QSPR model of this work to previous reports, as shown in Table .…”

General Equation to Estimate the Physicochemical Properties of Aliphatic Amines

“…In 2023, Cao et al further proposed a general equation to express nonlinear changes in the physicochemical properties of noncyclic alkanes, including a total of 12 properties, named the “NPNA equation”, as shown in eq . ln ( P ( n ) ) = a + b ( n − 1 ) + c ( S CNE ) + d ( Δ AOEI ) + f ( Δ AIMPI ) In eq , a , b , c , and f are coefficients and P ( n ) represents the nonlinear change property of the alkane with n carbon atom number. ΔAOEI and ΔAIMPI are average odd–even index difference and average inner molecular polarizability index difference, respectively.…”

“…6,7 PEI(R) is calculated by using the method of Cao and Li. 8 In 2023, Cao et al 9 further proposed a general equation to express nonlinear changes in the physicochemical properties of noncyclic alkanes, including a total of 12 properties, named the "NPNA equation", as shown in eq 5.…”

“…In 2023, Cao et al 9 further proposed a general equation to express nonlinear changes in the physicochemical properties of noncyclic alkanes, including a total of 12 properties, named the “NPNA equation”, as shown in eq 5 . In eq 5 , a , b , c , and f are coefficients and P ( n ) represents the nonlinear change property of the alkane with n carbon atom number.…”