Nature of potential families from elastic 16O +16O rainbow scattering*Dedicated to the loving memories of F Bary Malik for inspiring us to use NM potentials; and Devika Basak, who was not only the loving wife of our group leader (AKB), but a source of extraordinary care, affection and inspiration for all his students and colleagues, sadly leaving us on 18 November 2020, just weeks before this article was accepted. (11th June 2021)