The MD simulation was conducted at room temperature using the GAFF forcefield and the SPC/E water model. A phenol molecule was fixed in the center of the simulation box, and 443 water molecules filled the rest of the box. It can be observed that when the isovalue of 𝛿𝑔̅ inter is large, only the strongest average interactions between phenol and water are displayed. Specifically, the hydroxyl group of phenol simultaneously acts as both a H-bond donor and acceptor with surrounding water molecules. As the isovalue decreases to 0.003 a.u., slightly weaker interactions, such as π-H bonds, become visible, represented by isosurfaces above and below the sixmembered ring. When the isovalue is further reduced to 0.0018 a.u., isosurfaces corresponding to the weakest vdW interactions between phenol and water become apparent. This example demonstrates that the amIGM isosurfaces are particularly effective for intuitively examining interactions. By properly adjusting the isovalue, the exhibition of interactions can be precisely controlled, and the distribution of isosurfaces aligns with the molecular symmetry, underscoring the reasonableness and unique advantages of the amIGM method. Additional application examples of amIGM, such as protein-ligand interactions and the shuttle motion of fullerene in a carbon nanotube, can be found in Ref. and are recommended for interested readers.