Traditionally, deviation from Stokes–Einstein–Debye
(SED) relation in terms of viscosity dependence of medium dynamics,
i.e.,
with p ≠ 1, is
taken as a signature of dynamic heterogeneity. However, it does not
guarantee medium heterogeneity, as the decoupling may also originate
from the deviation of the basic assumption of SED. Here, we developed
a method to find a stronger relation between viscosity decoupling
(p ≠ 1) and dynamic heterogeneity in terms
of rotational motion. Our approach exploited the fact that in heterogeneous
media, a solvatochromic probe will be solvated to a different extent
at different microdomains (subpopulations), and photoselection of
these subpopulations can be achieved by excitation or emission wavelength-dependent
measurements. We hypothesized that the dynamics of a homogeneous system
might show viscosity decoupling, but the extent of decoupling at different
excitations (or at different emissions) should not be different. On
the other hand, in a heterogeneous medium, this extent of viscosity
decoupling (p-value) should be different at different
excitations (or at different emissions). As proof of concept, we investigated
three versatile solvent media: squalane (viscous molecular liquid),
1-ethyle-3-methylimidazolium ethyl sulfate ionic liquid (IL), and
[0.78 acetamide + 0.22 LiNO3] deep eutectic solvent (DES).
We found that squalane is homogeneous, although it shows fractional
viscosity dependence (p ≠ 1). Interestingly,
mild heterogeneity in IL and significant heterogeneity in the DES
were observed. Overall, we conclude that the difference in the p-value as a function of excitation (or emission) wavelength-dependent
might be a superior way for the detection of dynamic heterogeneity.