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Chemistry · Glossary

What is Formation and dissociation constants?

Also known as: overall formation constant · successive formation constant · dissociation constant

Definition 12.3 University Chemistry — Year 1 · Chapter 12 — Complexation

For a central ion M and a ligand L (charges omitted), the overall formation constant of MLn\mathrm{ML}_n is the constant βn\beta_n of M+n L⇌MLn\mathrm{M} + n\,\mathrm{L} \rightleftharpoons \mathrm{ML}_n,

βn=[MLn][M][L]n.\beta_n = \frac{[\mathrm{ML}_n]}{[\mathrm{M}][\mathrm{L}]^n} .

The successive formation constant KiK_i is that of the addition of one ligand, MLi−1+L⇌MLi\mathrm{ML}_{i-1} + \mathrm{L} \rightleftharpoons \mathrm{ML}_i. The dissociation constant is the inverse, Kd=1/KiK_d = 1/K_i, and pKd=log⁡Ki\mathrm{p}K_d = \log K_i, so that a complex/ligand pair is described exactly like an acid–base pair, with the ligand in place of the proton.

complexlog⁡βn\log\beta_nlog⁡Ki\log K_i
[Cu(NHX3)Xn]2+[\ce{Cu(NH3)_n}]^{2+}, n=1n = 1 to 44.10, 7.51, 10.33, 12.364.10, 3.41, 2.82, 2.03
[Ag(NHX3)Xn]+[\ce{Ag(NH3)_n}]^{+}, n=1,2n = 1, 23.32, 7.223.32, 3.90
[Zn(OH)X4]2−[\ce{Zn(OH)4}]^{2-}log⁡β4=14.45\log\beta_4 = 14.45
[FeSCN]2+[\ce{FeSCN}]^{2+}, [FeF]2+[\ce{FeF}]^{2+}2.96; 6.85
[CaY]2−[\ce{CaY}]^{2-}, [MgY]2−[\ce{MgY}]^{2-}, [NiY]2−[\ce{NiY}]^{2-}12.69, 10.90, 20.54
Formation constants at 25 ∘C25\,{}^{\circ}\mathrm{C}. The ammine, hydroxo, thiocyanato and fluoro constants are computed from tabulated standard Gibbs energies of formation; the edta constants are critically selected values at zero ionic strength, as are the pKa\mathrm{p}K_a of edta used below, 2.23, 3.15, 6.80 and 11.24.
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