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where, p(alkylbenzene) denotes the thermochemical property (heat of atomization, enthalpy of formation and boiling points) of alkylbenzenes; X1CC and X1CH are the eigenvalues of the C–C and C–H σ bond orbital-connection matrices, respectively. X1π is the eigenvalue of the conjugated π bond orbital-connection matrix. NC–C and NC–H are the number of C–C and C–H σ bonds in the alkylbenzene, respectively, and a, b, c, d, e, and k are coefficients.

Extending bond orbital-connection matrix method to the QSPR study of alkylbenzenes: Some thermochemical properties
Authors:Shuo Gao  Chenzhong Cao  
Institution:aSchool of Chemistry and Chemical Engineering, Central South University, Changsha 410083, PR China;bSchool of Chemistry and Chemical Engineering, Hunan University of Science and Technology, Xiangtan 411201, PR China
Abstract:The properties of alkylbenzenes were estimated, using the contributions of the σ bonds, the conjugated π bond and the steric effect in alkylbenzene molecule. And a novel bond orbital-connection matrix, conjugated π bond orbital-connection matrix in aromatic molecules, was proposed. The eigenvalues of the conjugated π bond orbital-connection matrix can well express the contribution of the conjugated π bond to the properties of aromatic molecules. Using this eigenvalue together with the parameters proposed in our early works, the bond orbital-connection matrix method was extended successfully to the QSPR studies of alkylbenzenes and a general model was obtained to evaluate the thermochemical properties of alkylbenzenes, that is,
p(alkylbenzene)=aNC–C+bX1CC+cNC–H+dX1CH+eSZ/E+kX1π,
Keywords:Enthalpy of formation  Heat of atomization  Alkylbenzene  Monoalkene  Bond orbital-connection matrix  Steric effect of cis/trans configuration
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