The interacting boson model with isospin (IBM-3) was applied to study the band structure and electromagnetic transition properties of the low-lying states in the even-even N = Z nucleus 52 Fe. The isospin excitation states with T = 0, 1 and 2 were identified, and compared with the available data. The study shows that the 2 + 3 state is the lowest mixed symmetry state in 52 Fe. The excitation energy of the second 0 + 2 state with T = 0 in nucleus 52 Fe was identified. The model calculations with the data show a reasonably good agreement.
energy level, isospin, mixed symmetry states, electromagnetic transitionsWith the development of radioactive ion beam facilities and large detector arrays, the study of the structure of heavy nuclei (A≥40) with N = Z has been a subject of intense interest during the last few years. The main reason is that (i) the structure of these nuclei provides a sensitive test for the isospin symmetry of nuclear force; (ii) these nuclei may give new insights into neutron-proton (np pair) correlations that are unknown up to present; (iii) these nuclei are important for rp-process nucleosynthesis. Much experimental and theoretical work -, e.g. refs. [1 28], has been carried out recently for the investigation and understanding of the structure of the atomic nuclei with N = Z, the initial focus being on heavy odd-odd N = Z nuclei [1][2][3][4][5][6][7] . However, many experimental studies have been started recently for heavy even-even N = Z nuclei [9,11,13,24] (A≥40 up to A = 88). The neutron-proton correlations in the T = 0 channel are an interesting aspect of the N = Z nuclei, where T = 0 pairing may lead to a new collective mode [29,30] . Nuclei with N = Z are expected to exhibit interesting deformation characteristics, such as the reduction of the moment of inertia and the backbending phenomenon, etc.In many nuclear models, the studies of even-even nuclei are much easier than those of odd-odd nuclei. The interacting boson model (IBM) of nuclei, introduced by Arima and Iachello [31] , is phenomenologically successful in describing the spectra of medium heavy nuclei and heavy nu-