We have investigated the unoccupied electronic states of the Si-terminated
(0001) surface of hexagonal 6H-SiC. The main problem with these surfaces is
the reliable preparation of well defined surface reconstructions. We give
reproducible methods to prepare the (1 X 1), (root3 X root3) R30 degrees, (
3 X 3), and the (6 root3 X 6 root3) R30 degrees surface by controlled heati
ng of the SiC sample in a Si flux. These surface reconstructions show a cha
racteristic LEED pattern and a characteristic Si/C peak ratio in Auger elec
tron spectroscopy. We present k-resolved inverse photoemission spectra for
the (1 X 1), (root3 X root3) R30 degrees, and (3 X 3) surface. We compare t
he measured dispersion relations with ab initio local density approximation
surface band structure calculations of the (1 X 1)- and the (root3 X root3
) R30 degrees -reconstructed 6H-SiC(0001) surface and with a Mott-Hubbard m
odel of the electronic ground state of the (root3 X root3) R30 degrees and
(3 X 3) reconstruction. The comparison between experiment and theory suppor
ts the Hubbard model: The experiment determines a value of U=2.0 eV for the
Mott-Hubbard Coulomb interaction parameter for the (root3 X root3) R30 deg
rees reconstruction and U=1.25 eV for the (3 X 3)-reconstructed surface, re
spectively.