Table. 3 Comparison of enthalpy values (in kJ mol−1) from ML predictions, experimental measurements, and DFT calculations, considering variations in crystal symmetries, Hubbard U (in eV) and \(\frac{1}{2}{E}_{{O}_{2}}\) values

From: Discovery of materials for solar thermochemical hydrogen combining machine learning, computational chemistry, experiments and system simulations

Formula

U

Pred.

Vieten

\(\Delta {h}_{o,{\rm{pred}}}\)

δ=0.5

Exp.

\(\Delta {h}_{o,\exp }\)

DFT

ortho → trigonal

\(\Delta {h}_{o,{\rm{DFT}},{\rm{o}}-{\rm{t}}}\)

Θ= 4/24

δ = 0.5

DFT

ortho → ortho

\(\Delta {h}_{o,{\rm{DFT}},{\rm{o}}}\)

Θ= 4/24

δ = 0.5

\(\frac{1}{2}{E}_{{O}_{2}}\)PBE

\(\frac{1}{2}{E}_{{O}_{2}}\)corr

\(\frac{1}{2}{E}_{{O}_{2}}\)PBE

\(\frac{1}{2}{E}_{{O}_{2}}\)corr

Oxidized:

Ba0.875Ca0.125Zr0.875Mn0.125O₃

Reduced:

Ba0.875Ca0.125Zr0.875Mn0.125O₃−δ

2

457

305

497.958

536.934

466.440

505.416

3.9

478.554

517.530