Skip to main content
. Author manuscript; available in PMC: 2010 Mar 25.
Published in final edited form as: J Am Chem Soc. 2009 Mar 25;131(11):4012–4021. doi: 10.1021/ja808175m

TABLE 2.

Thermodynamic analysis of binding of ferrocene guests with βCD and CB[7]. Q1, Q2: ionic charge of R1 and R2 groups (Table 1). From left to right, the remaining columns show the measured binding free energy, when available; calculated binding free energy; calculated changes in mean potential plus solvation energy, configurational entropy, mean van der Waals energy, mean Coulombic energy, mean total electrostatic energy (ΔEel = ΔUC + ΔWel), valence energy and nonpolar solvation energy; and the energy efficiency. Units: kcal/mol. The Boltzmann average of energy term signs are omitted for brevity

Changes in Mean Energy Terms
Q1,Q2 ΔGexptο ΔGcalcο Δ(U + W) TΔScfgο ΔUvdw ΔUC ΔWel ΔEel ΔUval ΔWnp ΔGcalcοΔ(U+W)
Cucurbit [7] uril
F 0, 0 -11.4 -19.8 8.4 -25.6 -3.2 9.8 6.6 1.9 -2.5 0.57
F1 0, 0 -12.9 -10.5 -25.3 14.8 -27.0 -17.0 19.8 2.8 1.5 -2.6 0.42
F2 +1, 0 -16.8 -14.6 -32.5 17.9 -29.9 -77.9 75.8 -2.0 2.3 -2.9 0.45
F3 +1, 0 -17.2 -14.5 -31.1 16.6 -33.0 -70.2 74.8 4.6 0.2 -3.0 0.47
F4 +1, 0 -12.8 -31.1 18.3 -34.3 -71.2 76.7 5.5 0.8 -3.1 0.41
F5 -1, 0 NB -0.9 -8.4 7.5 -5.3 -9.0 7.0 -2.0 -0.1 -0.9 0.1
F6 +1,+1 -21.0 -21.0 -38.8 17.8 -39.2 -133.2 136.2 3.0 0.8 -3.4 0.54
β-Cyclodextrin
F 0, 0 -8.6 -17.2 8.7 -17.6 -0.1 3.4 3.4 -0.7 -2.3 0.50
F1 0, 0 -4.8 -16.1 11.3 -18.1 0.2 4.6 4.8 0.4 -2.4 0.30
F2 +1, 0 -3.1 -19.3 16.3 -20.7 -15.0 17.1 2.1 1.9 -2.6 0.16
F3 +1, 0 -4.7 -2.0 -8.7 6.7 -13.0 3.2 4.4 7.7 -1.3 -2.1 0.23
F4 +1, 0 -3.1 -12.2 9.1 -14.0 2.8 2.2 5.0 -1.1 -2.1 0.26
F5 -1, 0 -4.6 -4.1 -19.7 15.6 -16.6 -19.6 18.2 -1.4 0.7 -2.4 0.21
F6 +1,+1 ≥ 0