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A description of the even–even Pt isotopes for A = 190 to 196 in the framework of the Interacting Boson Model (IBM-1) is carried out. Energy levels, B(E2) and B(M1) values, branching ratios, E2/M1 mixing ratios and QJ values of the above nuclei have been calculated. The energy levels, B(E2) values and the electric quadrupole moment QJ results are reasonably consistent with the experimental data. The magnetic dipole is compared with the available experimental data. Furthermore, the calculated results are better than previous studies.

The energies of the ground, [Formula: see text] and [Formula: see text] bands as well as the associated [Formula: see text] values have been calculated using interacting boson model (IBM). We have developed a new method called “new empirical equation” for each even–even rare-earth Er–Os for [Formula: see text]. Also, the relation of the gamma energy over spin as a function of the spin [Formula: see text] (E-GOS) has been drawn. The ratio between the energies of the [Formula: see text] and [Formula: see text] states as a function of [Formula: see text] has been drawn to determine the property of the ground-state band, these curves indicated that these isotopes have a rotational property SU(3), with the [Formula: see text] property for [Formula: see text]Os isotopes. The contour plots of the potential energy surface for Er–Os for [Formula: see text] are studied using the simplified form of interacting boson model with an intrinsic coherent state. The critical points have been determined for [Formula: see text]Os isotopes. The behaviors of energy and [Formula: see text] ratios in the ground-state band are examined.

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