Described here is a QSPR equation for calculating glass transition
temperatures for acrylate
and methacrylate polymers, especially those with bulky ester
substituents. This approach is based on
molecular mechanics calculations and exclusively involves a force field
to describe a particular polymer
system; i.e., no group additivity values are required. Results
from two different force fields yielded similar
results, indicating that this model is not dependent on a particular
force field parameter set but rather
on the atomic properties that the force field describes. The
molecular mechanics calculation results (energy
term), the repeat unit mass, and a measure of the volume surrounding
the polymer segment (TSSV)
were used to determine an energy density function that is related to
experimental T
g values. This
energy
density function is important because it illustrates that the glass
transition temperature of an amorphous
polymer is related not only to the volume surrounding the polymer
segment but also to its conformational
energy. Limitations of other QSPR approaches (stemming from not
having a particular group or bond
connectivity described within the given model) are not present in this
approach.
We have previously described an original model called the EVM
(energy, volume, and mass)
model, which uses only three descriptors, the energy of a polymer
segment conformation using molecular
mechanics and molecular dynamics, its volume (the occupied space by the
atoms as well the unoccupied
space between them), and the repeat unit molar mass, to calculate
successfully the glass transition
temperatures (T
g) of aliphatic acrylate and
methacrylate polymers. We report here the application
of
this model to a series of various polystyrenes. The EVM model
allows correct description of the substituent
position effect on the ring as well as on the backbone, for various
alkyl group and halides. The estimated
T
g values with the EVM model are in excellent
agreement with literature values. We compare this
model
with two other methods (Bicerano's model and Porter's approach) and
find better or comparable
correlations.
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