The high transition dipole strength of the azide asymmetric
stretch
makes aryl azides good candidates as vibrational probes (VPs). However,
aryl azides have complex absorption profiles due to Fermi resonances
(FRs). Understanding the origin and the vibrational modes involved
in FRs of aryl azides is critically important toward developing them
as VPs for studies of protein structures and structural changes in
response to their surroundings. As such, we studied vibrational couplings
in 4-azidotoluene and 4-azido-N-phenylmaleimide in
two solvents, N,N-dimethylacetamide
and tetrahydrofuran, to explore the origin and the effects of intramolecular
group and solvent on the FRs of aryl azides using density functional
theory (DFT) calculations with the B3LYP functional and seven basis
sets, 6-31G(d,p), 6-31+G(d,p), 6-31++G(d,p), 6-311G(d,p), 6-311+G(d,p),
6-311++G(d,p), and 6-311++G(df,pd). Two combination bands consisting
of the azide symmetric stretch and another mode form strong FRs with
the azide asymmetric stretch for both molecules. The FR profile was
altered by replacing the methyl group with maleimide. Solvents change
the relative peak position and intensity more significantly for 4-azido-N-phenylmaleimide, which makes it a more sensitive VP. Furthermore,
the DFT results indicate that a comparison among the results from
different basis sets can be used as a means to predict more reliable
vibrational spectra.