  We report preliminary heat capacity and vapor pressure measurements of the
first and second layers of 4He adsorbed on ZYX graphite. ZYX is known to have
much better crystallinity than Grafoil, the most commonly-used exfoliated
graphite substrate, such as a ten-times larger platelet size. This allows us to
distinguish different phases in 2D helium-4 much more clearly and may provide
qualitatively different insights into this system. We found a significantly
asymmetric density-dependence of the heat-capacity peak associated with the 1/3
phase formation comparing with that obtained with Grafoil. The 2nd-layer
promotion density is determined as 11.8+-0.3 nm-2 from the heat-capacity
measurement of low density samples in the 2nd layer and vapor pressure
measurement.
