The descriptive and utility power of linear combinations of connectivi
ty terms (LCCT) derived by a trial-and-error procedure from a medium-s
ized set of 8 connectivity indices: {chi} = {D, D-v, (0) chi, (0) chi(
v), (1) chi, (1) chi(v), chi(t), chi(t)(v)} or from a subset of it has
been tested on properties of heterogeneous classes of biochemical com
pounds centered on the homogeneous class of natural L-amino acids. To
choose the appropriate combination of indices the forward selection an
d the complete combinatorial technique have been used, whenever more t
han a single term was necessary for the description. The forward selec
tion technique searches only a subspace of the complete combinatorial
space, but nevertheless has many advantages among which to be a good t
ool for an elementary and direct test for newly defined indices. The m
odeling has been followed centering the attention not only on the pred
ictive power of the proposed linear equations but also on their utilit
y. The modeling of the solubility of the entire heterogeneous class of
n = 43 amino acids, purines and pyrimidines could satisfactorily be a
chieved with a set of supraconnectivity terms based on the chi(t)(v) i
ndex mainly. The unfrozen water content of a mixed class of inorganic
salts and natural amino acids has satisfactorily been modeled with two
connectivity terms and the modeling shows a remarkable utility. The u
tility of the given LCCT can nevertheless be enhanced, especially when
the modeling requires 2 or more terms, with the introduction of the c
orresponding orthogonal indices, as can be seen for S(AA + PP) and UWC
. Further, the delta cardinal number is used as starting point for the
definition of a supravalence index a to be used for a topological cod
ification of the genetic code and the amino acids in proteins. In fact
, the notion of supravalence can be extended to the triplet code words
to generate the different families and subfamilies of the genetic cod
e and to visualize the connections of amino acids in proteins. Three p
roperties of the DNA-RNA bases (U, T, A, G and C), the singlet excitat
ion energies Delta E-1 and Delta E-2, and the molar absorption coeffic
ient epsilon(260) have been simulated with a single connectivity term
chosen from the same medium-sized set of 8 molecular connectivity indi
ces.