  We examine the ordering behavior of hard plate-like particle in a very narrow
slit-like pore using the Parsons-Lee density functional theory and the
restricted orientation approximation. We observe that the plates are
orientationally ordered and align perpendicularly (face-on) to the walls at low
densities, a first order layering transition occurs between uniaxial nematic
structures having n and n+1 layers at intermediate densities and even a phase
transition between a monolayer with parallel (edge-on) orientational order and
n layers with perpendicular one can be detected at high densities. In addition
to this, the edge-on monolayer is usually biaxial nematic and a
uniaxial-biaxial nematic phase transition can be also seen at very high
densities.
