Table 2 CD-MUSIC models for Eu(III)/Am(III) adsorption on aluminum (hydr)oxide minerals

\({\equiv AlOH}^{-0.5}+{H}^{+}\leftrightarrow { \equiv AlOH}_{2}^{+0.5}\)

1

0

0

9.6^a

9.0^b

9.87^c

\({\equiv AlOH}^{-0.5}+{Na}^{+}\leftrightarrow {\equiv AlOH}^{-0.5}{Na}^{+}\)

–

–

–

− 0.8^a

− 0.096^b

0.7^c

\({\equiv AlOH}^{-0.5}+{H}^{+}+ {Cl}^{-}\leftrightarrow { \equiv AlOH}_{2}^{+0.5}{Cl}^{-}\)

–

–

–

8.00^a

8.82^b

9.74^c

\({\equiv AlOH}^{-0.5}+{H}^{+}+ {C{O}_{3}}^{-2}\leftrightarrow {\equiv AlOCOO}^{-1.5}+{H}_{2}O\)

− 1

0

0

− 0.3^d

− 0.3^d

− 0.3^d

\({\equiv {Al}_{s}OH}^{-0.5}+{Eu}^{+3}+{H}_{2}O\leftrightarrow { \equiv {Al}_{s}OEuOH}^{+0.5}+2{H}^{+}\)

0.5

0.5

0

1.61 ± 0.12

0.89 ± 0.08

N/A

\({\equiv {Al}_{w}OH}^{-0.5}+{Eu}^{+3}+{H}_{2}O\leftrightarrow { \equiv {Al}_{w}OEuOH}^{+0.5}+2{H}^{+}\)

0.5

0.5

0

− 2.71 ± 0.09

− 4.63 ± 0.07

− 2.99 ± 0.24

RMSE

0.1766

0.1134

0.1982

R²

0.8235

0.9261

0.7914

Correlation coefficient

− 0.111

− 0.009

N/A

\({\equiv {Al}_{s}OH}^{-0.5}+{Am}^{+3}+{H}_{2}O\leftrightarrow { \equiv {Al}_{s}OAmOH}^{+0.5}+2{H}^{+}\)

0.5

0.5

0

3.45 ± 2.72

N/A

N/A

\({\equiv {Al}_{w}OH}^{-0.5}+{Am}^{+3}+{H}_{2}O\leftrightarrow { \equiv {Al}_{w}OAmOH}^{+0.5}+2{H}^{+}\)

0.5

0.5

0

− 1.47 ± 0.27

− 1.93 ± 0.08^#

N/A

RMSE

0.1818

0.1001

N/A

R²

0.8129

0.9382

N/A

Correlation coefficient

− 0.044

N/A

N/A