The consecutive binding
of two potassium ions to a bis(18-crown-6)
analogue of Tröger’s base (BCETB) in water was studied
by isothermal titration calorimetry using four different salts, KCl,
KI, KSCN, and K
2
SO
4
. A counterintuitive result
was observed: the enthalpy change associated with the binding of the
second ion is more negative than that of the first (Δ
H
bind,2
°
< Δ
H
bind,1
°
). This remarkable finding is supported
by continuum electrostatic theory as well as by atomic scale replica
exchange molecular dynamics simulations, where the latter robustly
reproduces experimental trends for all simulated salts, KCl, KI, and
KSCN, using multiple force fields. While an enthalpic K
+
–K
+
attraction
in water poses
a small, but fundamentally important, contribution to the overall
interaction, the probability of the collapsed conformation (COL) of
BCETB, where both crown ether moieties (CEs) of BCETB are bent in
toward the cavity, was found to increase successively upon binding
of the first and second potassium ions. The promotion of the COL conformation
reveals favorable intrinsic interactions between the potassium coordinated
CEs, which further contribute to the observation that Δ
H
bind,2
°
< Δ
H
bind,1
°
. While the observed trend is independent
of the counterion, the origin of the significantly larger magnitude
of the difference Δ
H
bind,2
°
– Δ
H
bind,1
°
observed experimentally for KSCN was studied in light of the weaker
hydration of the thiocyanate anion, resulting in an enrichment of
thiocyanate ions close to BCETB compared to the other studied counterions.