Thanks a lot. It is now much clear.

However, I think I have to probably redo calculations because the RIM/Bare deviations

for the q's at the border are larger than 10^-03, as you suggested. But maybe the current deviation can still be considered as okay.

Yes, particle in a box, increasing the vacuum, ie the box in the same energy window, you will find more and more unbound states.

In Yambo you can also define the number of states as energy range, so the number is defined consequently, but me personally do not find it very practical

I see, then I wonder why people investigating convergence on MoS2 https://arxiv.org/pdf/1311.1384.pdf take only 200 bands for vacuums of up to 60 angstrom!

This is somehow irritating.

Bests

Martin