The distance matrix S and the topological index of distance matrix W~* were redefined in this paper. W~* = MSI, M = (m_1, m_2, …, m_n), S = (S_(ij)_(n * n)), I = (I_1, I_2, …, I_n)~T, m_i is the number of bonded electrons. I_i is electronegativity, S_(ij), R_(ij) is the sum of bond length from i to j. To AB_n molecules, W~* = n(1 + ΔI)·[I_1 + 0.5(3n-1)I_2]/R. W~* is equal to the distance matrix topological index W of Wiener's to the systems of saturated hydrocarbons, but W~* can generally be applied to the systems of unsaturated hydrocarbons, organic compounds which include some heteroatoms and inorganic compounds. In this paper several systems were studied by W~*, the standard formative enthalpies of halide methyl, the standard formative enthalpies of SiX_n (X = F, Cl, Br, I, n = 1 ～ 4), the standard formative enthalpies of saturated hydrocarbons, the retention indices of gas chromatography RI of unsaturated hydrocarbon. All the correlation coefficients are larger than 0.99. W is the special form of W~* to saturated hydrocarbons.

Key words: TOPOLOGY, MATRICES, HALOHYDROCARBON, METHANE, ENTHALPY OF FORMATION, OCTANOL, WATER, DISTRIBUTING COEFFICIENT