SOME TOPOLOGICAL INDICES DERIVED FROM THE v^mdⁿ 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 Tc²/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 Tc²/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.