An image processing apparatus is provided that can adjust an output profile used for color matching in output devices. State estimation of a local electrical grid can be based on a local grid model and local electrical grid information. A is at least one element selected from the group consisting of Groups IA, IIA and IIIA; each of M1 and M2 is at least one element selected from the group consisting of Groups IIA, IIIA, IVA and VA and transition metal elements, respectively; and 0<x\u22661.