environment similar to the surface atoms. Based on the same logic, the supported atoms on the surface have possibly strong magnetism. The lack of the orbital polarization isn’t the obstacle to study the structural influence on the orbital moments. In order to clearly illustrate the effects of the crystal deformations (or the cubic distortions), we compare the results on the deformed surface with that on the prefect Au(110)-(1$\times$2) surface. The absorbed 3d atoms on the prefect surface still modify their positions to reach their stable positions, while the surface atoms are fixed. We find from Fig. \[fig3\] that the surface relaxations generally quench the orbital moments of the absorbed 3d atoms except for the absorbed V and Ti atoms. The changes of the orbital moments in response to the relaxations are closely related to the changes of the depth of the 3d atoms embedded in the trough of the reconstructed Au(110) surface. The absorbed atoms are deeper in the through, their orbital moments are quenched to smaller values due to the stronger crystal field. The absorbed V atom rises above the top row of the trough after the relaxations and its orbital moment enhances, opposes to the orbital quenching for 