The reversible magnetization for H parallel to ab has been studied for
grain-aligned YBa2Cu4O8 in order to determine whether the Hao-Clem th
eory can properly describe the vortex state in this orientation, as we
ll as the orientation for H parallel to c. Between temperatures of 70
and 76 K, the magnetization is reversible to better than 2% and the re
sults scale very well to the universal Hao-Clem curve even though the
supercurrents have a highly noncircular path as they circulate around
a vortex parallel to the ab plane. The thermodynamic critical field is
the same for H parallel to ab as for H parallel to c, as expected, an
d the Ginzburg-Landau parameter kappa(ab) = 380 compared to kappa(c) =
70 is consistent with an anisotropy value gamma = 5.8 +/- 0.4.