We performed a crystal orientation dependent study of the tunneling sp
ectra in high-temperature superconductors. The comparison of the tunne
ling spectra for different orientations and materials as measured by L
ow Temperature Scanning Tunneling Microscopy/Spectroscopy (LTSTM/S) gi
ves information about the relation between tunneling spectra and order
parameter symmetry. Our data - obtained on well characterized, high q
uality (100), (110), and (001) epitaxial YBa2Cu3O7-delta thin films an
d Nd1.85Ce0.15CuO4-y single crystals - can be interpreted by assuming
zero-energy surface states resulting from the sign change of the pair
potential in d-wave superconductors. The observed spatially continuous
and bias voltage independent zero bias conductance peak (ZBCP) on (11
0) YBa2Cu3O7-delta surfaces is then due to the d(x2-y2)-wave symmetry.
Compared with that, Nd1.85Ce0.15CuO4-y never exhibited any ZBCP as ex
pected because of its s-wave superconductivity.