錯体化学
[ L ′ ] = [ L ] + [ A L ] + [ A 2 L ] + ⋯ + [ A n L ] = [ L ] ( 1 + [ A + ] K a , n + [ A + ] 2 K n ⋅ K n − 1 + ⋯ + [ A + ] n K n ⋅ K n − 1 ⋯ K 1 ) {\displaystyle {\begin{aligned}\left[\mathrm {L} '\right]&=[\mathrm {L} ]+[\mathrm {AL} ]+[\mathrm {A} _{2}\mathrm {L} ]+\cdots +[\mathrm {A} _{n}\mathrm {L} ]\\&=[\mathrm {L} ]\left(1+{\frac {[\mathrm {A} ^{+}]}{K_{\mathrm {a} ,n}}}+{\frac {[\mathrm {A} ^{+}]^{2}}{K_{n}\cdot K_{n}-1}}+\cdots +{\frac {[\mathrm {A} ^{+}]^{n}}{K_{n}\cdot K_{n}-1\cdots K_{1}}}\right)\\\end{aligned}}} (32-3)
となる。
ここで、平衡定数Kiは
K i = [ A i L ] [ L ] [ A ] i {\displaystyle K_{i}={\frac {[\mathrm {A} _{i}\mathrm {L} ]}{[\mathrm {L} ][\mathrm {A} ]^{i}}}}