Molecular simulations of a nematic liquid crystal confined Fn cylinder geom
etry with homeotropic anchoring have been carried out. The core structure o
f a disclination line defect of strength +1 has been examined, and comparis
on made with various theoretical treatments, which are presented in a unifi
ed way. It is found that excellent fits to the cylindrically symmetrized or
der tensor profiles may be obtained with appropriate parameter choices; not
withstanding this, on the time scales of the simulation, the cylindrical sy
mmetry of the fore is broken and two defects of strength +1/2 may be resolv
ed. PACS number(s): 61.30.Cz, 61.30.Jf, 61.20.Ja, 07.05.Tp.