  The specific heat is a central property of condensed matter systems including
polymers and oligomers in their condensed phases. Yet, predictions of this
quantity from molecular simulations and successful comparisons to experimental
data are scarce if existing at all. One reason for this may be that the
internal energy and thus the specific heat cannot be coarse-grained so that
they defy their rigorous computation with united-atom models. Moreover, many
modes in a polymer barely contribute to the specific heat because of their
quantum mechanical nature. Here, we demonstrate that an analysis of the
mass-weighted velocity autocorrelation function allows specific heat
predictions to be corrected for quantum effects so that agreement with
experimental data is on par with predictions of other routinely computed
quantities. We outline how to construct corrections for both all-atom and
united-atom descriptions of chain molecules. Corrections computed for eleven
hydrocarbon oligomers and commodity polymers deviate by less than
$k_\textrm{B}/10$ within a subset of nine molecules. Our results may benefit
the prediction of heat conductivity.
