A. Perdih*, M. Perdih
Mala vas 12, SI-1000 Ljubljana, Slovenia
ABSTRACT
The suitability of topological indices J, W, Z, D, MTI, Xu, ID, c,
ll1, EAmax, and l1
as branching indices, as well as of physicochemical properties MON, BP,
d, Vi, Vm, Vc, Tc, Pc, dc, Zc, ac, DHv, A, B,
C, nD, MR, a0, b0, DHf°g, DGf°g,
S, R2, and w, as reference properties for the branching of alkanes is tested
by means of the Principal Component Analysis (PCA). On the PCA plots, alkanes
are separated by several criteria in the following descending order of
importance: carbon number, number of branches, whether the carbons are
tertiary or quaternary, the position of branches, the shape and symmetry
of molecules. Most properties and indices correlate highly with the carbon
number of alkanes and the influence of branching on them is much lower.
MON (motor octane number) depends first of all on the number of CH2
groups. The properties are divided into intrinsic and interaction-dependent
ones. It is explained why the latter ones are less suitable as primary
references for branching. Two definitions of branching are presented, the
Methane-based definition as a general definition and the n-Alkane-based
definition as a special definition more familiar to chemists.