Reanalysis of the photoassociation spectrum of the weakly binding (6S 1/2 + 6P 3/2 ) 1 g 133 Cs 2 levels, reported in the previous study J. Mol. Spectro. 255 (2009) 106], is performed by using a Lu-Fano graph coupled to the improved LeRoy-Bernstein formula including two additional modified terms. A more accurate coefficient (c 3 ) is obtained for the leading long-range potential (-c 3 /R 3 ) of a diatomic molecule.
