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. 2021 Oct 27;143(44):18605–18616. doi: 10.1021/jacs.1c08457

Table 2. Anion Binding Constants and Free Energy Values for Unscreened (Inline graphic and Inline graphic) and Screened (Inline graphic and Inline graphic) Models Determined from 1H NMR Spectroscopya,b.

  unscreened model affinity
screened (Debye–Hückel) model affinity
anion KX–U,0 (M–1) KX–U,0 (kJ·mol–1) KX–S,0 (M–1)c Inline graphic (kJ·mol–1)
F 104 ± 14d –11.49 ± 0.32 61 ± 4 –10.18 ± 0.16
Cl 290 ± 20e –14.06 ± 0.17 452 ± 4 –15.15 ± 0.02
Br 1860 ± 237d –18.64 ± 0.33 2890 ± 65 –19.74 ± 0.06
I 12 800 ± 1450d –23.43 ± 0.29 19 900 ± 1700 –24.52 ± 0.20
a

[Host 1] = at 0.4 mM concentration in unbuffered D2O

b

The pD values of the solutions were uncorrected.

c

Results correspond to a host Born radius of 6.5 Å. Values correspond to Born radii of 5.5 and 7.5 Å were as follows: F, 58 and 64, Cl, 446 and 457, Br, 2880 and 2890, and I, 19 900 and 19 800 M–1.

d

Inline graphic values for F, Br, and I obtained by competitive complexation model (eq 14a) using Inline graphic = 290 M–1.

e

Inline graphic value obtained by fitting to the standard 1:1 model, accounting for 4 equiv of Cl and floating the initial point.