What is the easiest method for characterizing large number of samples to investigate their porosity? The thickness of the samples is 300 nm. Please do not mention SEM, STM or AFM.
SEM AFM are not good for porosity measurenment. They can be used only to physically see the pores. For porosity measurements BET is the best and easiest way. It gives u a numeric value of the porosity in your sample. Moreover, u get SSA, estimated pore size etc as well.
First, it depends on the size of the pores and thus, on your material.
For instance, BET is considered OK for >50 nm (may vary depending on the pore structure). Same goes for Mercury intrusion porometry or Liquid extrusion porometry.
Second, it also depends on what you consider is porosity : if you're interested in the "real total" porosity, you might need to use SEM to image occluded pores, whereas if you're only interested in "through" pores, liquid extrusion would suffice.
Knowing what type of material and pore size/type you're trying to characterize would help.
A basic answer in terms or costs and time would be BET and/or liquid extrusion but no guarantee this will fit your task without more info.
to characterise a sample surface, without damaging it, you could also use a 3D no-contact optical profilometer with the possibility of obtaining very detailed maps of the surface morphology, comparing the number, diameter and depth of the pores.