Finding
the relation between thermodynamics and kinetics for a
reaction is of fundamental importance. Here, the thermodynamics and
kinetics correlation of excited-state intramolecular proton transfer
(ESIPT) was investigated by the TD-DFT calculation under the CAM-B3LYP/6-311+G**
level. We choose the family 2-(2′-aminophyenyl)benzothiazole
and its amino derivatives as paradigms, which all possess the NH-type
intramolecular hydrogen bond (H-bond), and investigate the corresponding
ESIPT reaction. The H-bond strength can be systematically tuned, so
both activation energy ΔG
‡ and free energy difference between proton transfer tautomer (T*,
product) and normal species (N*, reactant) ΔG
T*–N* can be varied. To minimize the environmental
interference such as solvent external H-bond and polarity perturbation,
a nonpolar solvent such as cyclohexane is chosen as a bath with a
polarizable continuum solvation model for the calculation. As a result,
the comprehensive computational approach reveals a linear relationship
between ΔG
T*–N* and ΔG
‡, which can be expressed as ΔG
‡ = ΔG
0 + αΔG
T*–N*. The fundamental
insight is reminiscent of the Bell–Evans–Polanyi (BEP)
principle where α represents the character of the position of
the transition state along the proton motion coordinate. In other
words, the more exergonic the ESIPT reaction is, the faster the proton
transfer rate can be observed. To verify that such a correlation is
not a sporadic event, another ESIPT family with an −OH proton,
1-hydroxy-11H-benzo[b]fluoren-11-one
and its derivatives, was also investigated and proved to follow the
BEP principle as well. Unlike the quantum mechanics description of
proton transfer where either proton tunneling is dominant or solute/solvent
is coupled in ESIPT, this work demonstrates that reaction kinetics
and thermodynamics are strongly correlated within the same class of
ESIPT molecules with an intrinsic barrier free from solvent perturbation,
being faster with the more exergonic reaction.