The measurements of lifetimes and electromagnetic moments of the isomeric states in some of the nuclei around $$A\approx$$
A
≈
135 carried out at BARC-TIFR Pelletron Linac Facility at TIFR, Mumbai, are highlighted. The results from these measurements, along with similar studies reported in the literature, provide a wealth of nuclear structure information in Ba, La, and Ce isotopes in the $$A \approx$$
A
≈
135 region. Comparison of the measured moments with the calculations gives a unique testing ground for the predictive power of the nuclear models. Plans for similar studies in other mass regions are also described at the end.