These include that 1) intramolecular vibrational degrees are treated classically instead of quantum mechanically, 2) intermolecular vibrational degrees of freedom, which are absent in the classical model, also have to be treated quantum mechanically and included in the corrections, and 3) nuclear quantum effects are omitted in the classical simulations. The nuclear quantum effects are significant at lower temperatures, including in some circumstances up to room temperature i. e. 300K. To reproduce the correct final C P , we must further analytically correct the classical ideal gas heat capacities with the corrections accounting for the differences 1) and 2) cited earlier using expressions given in standard texts such as McQuarrie. Analytical expressions for corrections 1) and 2) can also be obtained for other thermodynamic properties which come from temperature derivative of Gibbs energy such as entropy, internal energy, Gibbs energy, and enthalpy using thermodynamic equations given in texts such as Introduction to Chemical Engineering Thermodynamics by Smith and Van Ness. There are no analytical corrections reported for nuclear quantum effects so the deviations of simulated heat capacity from experimental heat capacities are expected to be higher for lower temperatures i. e. 273 K-300 K.