We present a new method by which wavefunctions with simple structure are renormalized so as to contain more complicated structure. This method, called H n -cooling method, is applied to the study of the quadrupole collective motion of 56 Fe, 54 Cr, 58 Fe and 56 Cr. The shell-model wavefunctions of lowestlying states of these nuclei are well treated by this method. By using the wavefunctions obtained via the H n -cooling method, IBM-2 parameters are derived from a realistic shell-model hamiltonian and transition operators. The Majorana interaction becomes sizably repulsive, primarily as an effect of the renormalization. The bosonic E2 effective-charges are enhanced due to the renormalization, while a quenching occurs in the M 1 and M 3 parameters for proton bosons. It is shown that the χ parameters take similar values in the 1 hamiltonian and in the E2 operator.