In this project, the relationship between the Giant Dipole Resonance (GDR) and the shape of the nuclei (prolate-oblate) of the odd-A deformed ^169-189W, ^169-189Re, ^173-193Os, ^173-193Ir, ^177-197Pt and ^177-197Aunuclei (W-Os-Pt region) located in the transition region of the periodic table was investigated for the first time using the Translational and Galileo Invariant Quasiparticle Phonon Nuclear Model (TGI-QPNM). The cross sections of the odd-A nuclei ^185,187Re, ¹⁸⁹Os, ^191,193Ir, ¹⁹⁵Pt and ¹⁹⁷Au , whose photo-absorption cross sections were determined by various experimental techniques, were calculated with TGI-QPNM and the obtained results were compared with the available experimental data.

The photo-absorption cross-sections calculated with TGI-QPNM for the considered odd-A nuclei and the k^th moment (σ_-2, σ_-1 ve σ₀)of the total photo-absorption cross-sections agree with the available experimental data. The obtained results showed changes in the photo-absorption cross-section resonance shape of the odd-A ^169-189W, ^169-189Re,^173-193Ir and ^177-197Pt isotope chains. While no change was observed in the resonance shape of the ^173-193Os isotope chain, the ^177-197Au isotope chain exhibited a single-peak structure.