SOME TOPOLOGICAL INDICES DERIVED FROM THE
v^{m}d^{n} MATRIX.

PART 8. THE L_{ij}(m,n) INDICES

Anton Perdih,* Branislav
Perdih

Mala vas 12, SI-1000 Ljubljana, Slovenia

__Abstract__

The best correlation between
some L_{ij}(m,n) indices and physicochemical properties of alkanes,
using data from propane to all octanes inclusive is observed at the pairs
L_{ij}(0,0) and Mw (r = 1),
L_{ij}(^{1}/_{4},^{1}/_{4}) and
Tc^{2}/Pc
(r = 0.9995), L_{ij}(0,0) and MR (r = 0.998), L_{ij}(0,^{1}/_{2}) and Tc/Pc (r = 0.998),
L_{ij}(-^{1}/_{3},0) and DHf°g (r = 0.994),
L_{ij}(0,^{1}/_{3}) and Vc (r = 0.991), and
L_{ij}(^{1}/_{3},0) and BP (r = 0.991). The best correlation using only data of
octanes is observed at the pairs L_{ij}(^{1}/_{2},‑1)
and Tc/Pc (r = -0.996), L_{ij}(-^{1}/_{4},-1) and
w (r = ‑0.994),
L_{ij}(1,-1) and BP/Tc (r = -0.991), L_{ij}(^{1}/_{4},3) and MON (r =
-0.984), L_{ij}(^{1}/_{4},^{1}/_{4}) and
Tc^{2}/Pc
(r = 0.982),
L_{ij}(‑^{1}/_{2},-6) and C (r = 0.967),
L_{ij}(-1,-2) and S (r = ‑0.961), as well as at
L_{ij}(1,^{1}/_{2}) and Pc (r = ‑0.961).
Thirteen L_{ij}(m,n) indices having -1 < **m** < 0 and -2
£ **n** < 0 have a regular sequence of
isomers. These L_{ij}(m,n) indices seem to be good sources of the
susceptibility for branching derived BI_{A} type branching
indices.