  We present a first-principles study of the atomic hydrogen adsorption onto
the Be(10\={1}0) thin film. There are two types of Be(10\={1}0) surfaces
according to the interlayer spacing between the surface and its
nearest-neighbor layer. We show that the H adsorption features on these two
kinds of surfaces are remarkably different. The work function, averaged
electrostatic potential, and the local charge density consistently show that
the charge is transferred from H to Be for L-type (see the text below)
surfaces, while the transfer process is inverted for S-type surfaces.
