it recovers an asymptote in -r -1 12 on condition that α + β = 1. Then, by setting the fraction of EXX in SR to α = a x , and choosing a suitable value for the range-separation parameter µ, RSHs become definitively an excellent answer to properties driven by long-range interactions such as intra-or inter-molecular charge-transfer excitations. Here again, µ is usually set by fitting to training reference energy databases. However, some of us recently showed that µ can be determined nonempirically by enforcing to reproduce the total energy of the hydrogen atom. In this investigation, we will specifically focus on this family of RSHs and we will specifically adapt them to the sTDA framework.