The problem of coexisting deformed and spherical states in Odd-Mass Nuclei is discussed within the framework of the Unified Model. The emphasis is made on the coupling between such states. Numerical calculations were performed for 115In. The basic spherical states are either 116Sn plus a (proton) hole or 114Cd plus a (proton) particle. The agreement between calculated and experimental quantities is rather good.Departamento de Física