The levitation force between a permanent magnet and a superconducting
thin film was investigated experimentally. The configuration consisted
of a cylindrical NdFeB permanent magnet placed above a circular YBa2C
u3O7-delta disk with common cylinder axis. Precise measurements were m
ade of the vertical force F-z and the magnetic stiffness kappa(z) as a
function of the magnet-superconductor separation at 77 K. Several fea
tures contrasting the levitation force produced using bulk superconduc
tors were observed. Thin films produced very high values for F-z and k
appa(z) per unit volume of superconducting material. The hysteretic be
havior of F-z during decreasing and increasing separation resulted in
loops of nearly symmetrical shape, which also contain a peak in the re
pulsive force branch. The observations are analyzed and explained with
good quantitative agreement using recent theories for flux penetratio
n in thin superconductors in transverse magnetic fields.