Table 1 DDL models for Eu(III)/Am(III) adsorption on aluminum (hydr)oxide minerals

\(\equiv AlOH+{H}^{+}\leftrightarrow { \equiv AlOH}_{2}^{+}\)

6.03 ± 0.25^a

8.50 ± 0.29^a

6.78 ± 0.29^a

\(\equiv AlOH\leftrightarrow \equiv Al{O}^{-}+{H}^{+}\)

− 7.47 ± 0.42^a

− 9.20 ± 0.52^a

− 10.10 ± 0.43^a

\(\equiv {Al}_{s}OH+{Eu}^{+3}\leftrightarrow \equiv {Al}_{s}O{Eu}^{+2}+{H}^{+}\)

N/A

N/A

N/A

\(\equiv {Al}_{s}OH+{Eu}^{+3}+{H}_{2}O\leftrightarrow \equiv {Al}_{s}O{EuOH}^{+}+{2H}^{+}\)

− 1.54 ± 0.16

0.50 ± 0.08

N/A

\(\equiv {Al}_{w}OH+{Eu}^{+3}\leftrightarrow \equiv {Al}_{w}O{Eu}^{+2}+{H}^{+}\)

N/A

N/A

3.25 ± 0.22

\(\equiv {Al}_{w}OH+{Eu}^{+3}+{H}_{2}O\leftrightarrow \equiv {Al}_{w}O{EuOH}^{+}+{2H}^{+}\)

− 5.45 ± 0.18

− 5.03 ± 0.08

− 5.10 ± 0.23

RMSE

0.1978

0.1166

0.1799

R²

0.7804

0.9229

0.8282

Correlation coefficient

0.146

− 0.023

− 0.124

\(\equiv AlOH+{Am}^{+3}+{H}_{2}O\leftrightarrow \equiv AlO{AmOH}^{+}+{2H}^{+}\)

− 3.91 ± 0.29

− 2.36 ± 0.08

N/A

RMSE

0.1907

0.1059

N/A

R²

0.7856

0.9323

N/A