Quantum molecular similarity measures (QMSM) and the possibility to co
nstruct a discrete n-dimensional representation of any electronic stru
cture is briefly described. The quantum molecular similarity indices (
QMSI) are presented next. They constitute a possible transformation of
the initial QMSM, intended to be useful in a great variety of applica
tions. A set of diverse possibilities in QMSI definitions is given. A
comparison of the indices obtained directly from electronic density di
stributions with those derived from the QMSM discrete representation o
f molecules leads to a handful of useful results, allowing a mathemati
cal connection between the initial description of Carbo and the Hodgki
n-Richards QMSI's. From the discussion of this kind of comparative rea
soning a description of new index forms can be deduced. A brief numeri
cal example is given.