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The properties of the yrast states for 100-110Pd even–even (e–e) nuclei have been established. The relation between the moment of inertia 2ϑ/ℏ2 and the square of the rotational energy (ℏω)2 has been drawn to identify the back-bending that may occur at a certain state for each isotope. The relation between gamma-energy over spin Eγ/I as a function of spin I has been drawn to determine the evolution in each isotope ranging from vibration to rotational properties. The suitable limit in the interacting boson model IBM-1 has been used to calculate the yrast states for each isotope, which are then compared with the experimental results.
The low-lying collective properties of 102Pd, 106Cd, 124Te and 128Xe nuclei have been established. The relation between gamma-energy over spin Eγ/I as a function of spin I has been drawn to determine the properties of these nuclei in the ground states band. The combined vibrator-γ-soft energy equation was used to calculate the energy of the ground states band for the above nuclei, and it was compared with the calculated energy by using the U(5)–O(6) of the IBM-1. The calculation of the combined equation and the IBM-1 is in good agreement with the measured and other calculated values.