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42776-AC6
The Nonresonant Chiro-Optical Response of Isolated and Solvated Molecules
Patrick H. Vaccaro, Yale University and Kenneth B. Wiberg, Yale University
Molecular chirality plays pivotal roles in diverse
fields of chemical, physical, and biological importance. The two molecules of
opposite handedness comprising an enantiomeric pair exhibit wavelength-resolved
optical activities (or interactions with circularly-polarized light) of equal
magnitude yet opposite sign, thus affording a facile means for their relative
discrimination. Nevertheless, the a priori correlation of a measured chiro-optical response with a specific
enantiomer still presents formidable challenges, especially given the
complexities accompanying strong environmental perturbations. Burgeoning
theoretical methods promise to resolve these difficulties by computationally
predicting requisite structure-property relationships; however, their ability
to assist in the assignment of absolute stereochemical configuration remains a
subject of study. The synergistic program of experimental and theoretical
research conducted under the auspices of this PRF grant addresses such issues
by probing the nonresonant optical activity (or circular birefringence) of
model organic compounds under tandem solvated and isolated (solvent-free)
conditions, where the latter vapor-phase work has exploited ultrasensitive
Cavity Ring-Down Polarimetry (CRDP). Complementary quantum chemical
calculations, performed at the highest levels of density-functional and
coupled-cluster theory, have been employed to critically access and
quantitatively interpret laboratory findings. A summary of the results that
have emerged from these endeavors is as follows:
1.
Solvation can
influence nonresonant optical activity in pronounced and counterintuitive ways,
with solvent-induced perturbations capable of modifying the magnitude and the sign of chiro-optical response evoked from rigid molecules.
2.
Solvents of high
dielectric constant (e.g.,
acetonitrile) consistently provide better mimics of isolated-molecule optical
activity than their less-polar counterparts (e.g., cyclohexane), a finding that would appear to
contradict conventional wisdom regarding the nature of solute-solvent
interactions. Canonical models of implicit solvation (e.g., Onsager Reaction Field Theory) are incapable of
rationalizing chiro-optical results obtained for nominally-rigid species.
3.
Conformational
flexibility (extrinsic non-rigidity)
can modify optical activity grossly, with the pronounced temperature dependence
exhibited by specific rotation parameters reflecting changes in the relative
population of structural isomers that often possess antagonistic chiro-optical
properties. Consequently, the differential stabilization of individual
conformers upon solvation (owing, in part, to their unique distributions of
charge density) strongly affects the overall response evoked from an ensemble
of non-rigid chiral molecules.
4.
Vibrational motion (intrinsic non-rigidity) can influence the chiro-optical
response evoked from solvated and isolated species significantly. In some
cases, vibrational averaging over zero-point displacement of the molecular
framework is essential for the reliable prediction of optical activity from
quantum chemical calculations.
5.
Direct
sum-over-states calculations of specific rotation have shown that contributions
arising from an unphysically-large number of excited states must be included
for convergence to be achieved with optical activity predictions deduced from
linear response theory. This result highlights critical inadequacies of
conventional quantum chemical basis sets, which describe core-electronic
features well, but afford less attention to properties that are dominated by
the peripheral distribution of electron density (viz., optical activity).
6.
Molecules that
attain chirality by virtue of stereogenic axes (e.g., allenes) have been found to exhibit surprisingly
large and systematic differences between their isolated and solvated
nonresonant chiro-optical properties, despite the fact that solution-phase
specific rotation parameters depend only slightly on solvent medium.
Significant discrepancies have been uncovered between density-functional and
coupled-cluster predictions of optical activity for such species.
7.
For non-rigid, polar
molecules dissolved in media that do not support specific solute-solvent
interactions, density-functional calculations of conformer-specific optical
activity combined with polarizable continuum models of solvation (to gauge
conformer populations) provide a viable approach for predicting nonresonant
chiro-optical response. However, the results emerging from such
thermal-averaging procedures depend critically upon the quality of attendant
free-energy analyses (relative DG values for conformers must be obtained with
<10% accuracy), as well as on the polarity differences among conformers
(large changes are best suited for continuum dielectric models).
Molecules targeted by
ongoing PRF efforts have been selected to embody diverse physical/chemical
characteristics and unique structural/bonding motifs that reflect upon the
issues mentioned above. This research program depends heavily on the active
participation of graduate/undergraduate students and postdoctoral fellows, who
often serve as the primary nexus for the synergistic exchange of ideas and
information. Students are trained in a collegial atmosphere that encourages
individual excellence, yet still fosters the cooperative spirit essential for
fruitful execution of substantial efforts. All personnel share in the
implementation and interpretation of chiro-optical studies, thereby gaining
valuable experience in endeavors that span the entire realm of chemistry (from
organic synthesis to chemical physics) and impact upon frontier disciplines of
science. Consequently, a significant development of human resources, as
embodied in the training of our future generation of scientists, engineers, and
educators, is being accomplished in addition to completion of stated research
goals.
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