Now that we have seen the types of studies that have been performed mainly using the scQED procedure, we will circle back to an explicit comparison between the pQED and scQED methods and showcase some results obtained on similar systems as already described. Further, the use of either pQED and scQED schemes should give the same result in the infinite basis limit. However, as we shall see in this section, each approach has its own strengths and limitations that need to be considered when applying to a specific calculation. In Fig. , the absorption spectra for the benzene molecule is shown in analogy to the toluene molecule discussed in Fig. , with cavity loss introduced in the same way (see discussion near Eq. 143). For these choices of coupling strength Fig. (i-iii) and cavity loss in Fig. ) parameters, the pQED-TD-DFT and scQED-TD-DFT methods provide nearly identical numerical results. It should be noted that this system is simpler than the toluene example since no nearby electronic excited states are present to mix with the character of the polaritons using these choices of parameters. Additionally, the coupling strength and cavity loss rates are very small in this example. Importantly, note that one would not have a priori knowledge on how many electronic or Fock states are required to obtain this pQED-TD-DFT Hamiltonian, and as mentioned before the number of of basis electronic and photonic states should be treated as convergence parameters.