The
optical absorption spectrum of a perylene diimide (PDI) dye in acetonitrile
solution is simulated using the recently developed (J. Chem.
Theory Comput.
2020, 16, 1215–1231)
Ad-MD|gVH method. This mixed quantum-classical (MQC)
approach is based on an adiabatic (Ad) separation of soft(classical)/stiff(quantum)
nuclear degrees of freedom and expresses the spectrum as a conformational
average (over the soft coordinates) of vibronic spectra (for the stiff
coordinates) obtained through the generalized vertical Hessian (gVH) vibronic approach. The average is performed over snapshots
extracted from classical molecular dynamics (MD) runs, performed with
a specifically parameterized quantum-mechanically derived force field
(QMD-FF). A comprehensive assessment of the reliability of different
approaches, designed to reproduce spectral shapes of flexible molecules,
is here presented. First, the differences in the sampled configurational
space and their consequences on the prediction of the absorption spectra
are evaluated by comparing the results obtained by means of the specific
QMD-FF and of a general-purpose transferable FF with those of a reference ab initio MD (AIMD) in the gas phase, in both a purely classical
scheme (ensemble average) and in the Ad-MD|gVH framework.
Next, classical ensemble average and MQC predictions are also obtained
for the PDI dynamics in solution and compared with the results of
a ″static″ approach, based on vibronic calculations
carried out on a single optimized perylene diimide structure. In the
classical ensemble average approach, the remarkably different samplings
obtained with the two FFs lead to sizeable changes in both position
and intensity of the predicted spectra, with the one computed along
the QMD-FF trajectory closely matching its AIMD counterpart. Conversely,
at the Ad-MD|gVH level of theory, the different samplings
deliver very similar vibronic spectra, indicating that the error found
in the absorption spectra obtained with the general-purpose FF mainly
concerns the stiff modes. In fact, it can be effectively corrected
by the quadratic extrapolation performed by gVH to
locate the minima of the ground- and excited-state potential energy
surfaces along such coordinates. Furthermore, in the perspective of
studying the self-assembling process of PDI dyes and the vibronic
spectra of large-size aggregates, the use of a molecule-specific QMD-FF
also appears mandatory, considering the significant errors found in
the GAFF trajectory in the flexible lateral chain populations, which
dictate the supramolecular aggregation properties.