Similarly, the ICOHP for OH*-adsorbed systems (Figures ), 3d, 4d, and 5d TMOs exhibit overlapping values due to similar adsorption energies, and a consistent right shift in 1st order expansion. In rutile systems, the 3 rd order ICOHP shows a linear improvement compared to the 0 th order, while in corundum systems, the correlations are highly sensitive to the structure changes for the higher orders. Pentoxide systems show consistent connections across the 0 th , 1 st , and 3 rd orders. Interestingly, the fitted plots for the 5d TMOs are steeper, indicating that adsorption energies do not significantly affect ICOHP values. At low-coverage corundum and pentoxide systems at higher orders, ICOHP is extremely sensitive to structural changes, and the motheod doesn't work as effectively for high-coverage rutile systems.