“…More specifically, studies have shown that improvements in basis function set (according to variational energy criteria) leads to an increase of the entropy sum for atomic systems. This leads to the conjecture that S t can be regarded as an indicator of the quality of basis functions [38][39][40], proposal known as Gadre-Sears-Chakravorty-Bendale (GSCB) conjecture. Furthermore, previous works show that the value of the entropy sum not depend of the atomic number for fundamental or excited state of free hydrogenic-like atoms, while in an isoelectronic multielectronic atoms series its value depends of the atomic number [41].Despite the success of using the Shannon entropy in atomic, molecular and chemical physics, one aspect that still requires discussion is its dimensional problem.…”