where ∆H ‡ and ∆S ‡ are the effective activation enthalpy and entropy, respectively, which can be extracted by plotting ln(k/T ) as a function of 1/T . We further denote the effective activation enthalpy and entropy inside the cavity as ∆H ‡ c and ∆S ‡ c , respectively, and the corresponding values outside the cavity as ∆H ‡ 0 , ∆S ‡ 0 , respectively. One can further define their difference as ∆∆H ‡ ≡ ∆H ‡ c -∆H ‡ 0 , and ∆∆S ‡ ≡ ∆S ‡ c -∆S ‡ 0 , which characterizes the pure cavity induced effects. According to the assumption that k = k 0 + k VSC , they can be evaluated analytically as follows