A molecular descriptor known as R3m
(the R-GETAWAY third-order
autocorrelation index weighted by the atomic mass) was previously
identified as capable of grouping members of an 18-compound library
of organic molecules that successfully formed amorphous solid dispersions
(ASDs) when co-solidified with the co-polymer polyvinylpyrrolidone
vinyl acetate (PVPva) at two concentrations using two preparation
methods. To clarify the physical meaning of this descriptor, the R3m
calculation is examined in the context of the physicochemical mechanisms
of dispersion formation. The R3m equation explicitly captures information
about molecular topology, atomic leverage, and molecular geometry,
features which might be expected to affect the formation of stabilizing
non-covalent interactions with a carrier polymer, as well as the molecular
mobility of the active pharmaceutical ingredient (API) molecule. Molecules
with larger R3m values tend to have more atoms, especially the heavier
ones that form stronger non-covalent interactions, generally, more
irregular shapes, and more complicated topology. Accordingly, these
molecules are more likely to remain dispersed within PVPva. Furthermore,
multiple linear regression modeling of R3m and more interpretable
descriptors supported these conclusions. Finally, the utility of the
R3m descriptor for predicting the formation of ASDs in PVPva was tested
by analyzing the commercially available products that contain amorphous
APIs dispersed in the same polymer. All of these analyses support
the conclusion that the information about the API geometry, size,
shape, and topological connectivity captured by R3m relates to the
ability of a molecule to interact with and remain dispersed within
an amorphous PVPva matrix.