Electrons occupying surface states on the close-packed faces of the no
ble metals form a two-dimensional (2D) nearly-free electron gas that c
an be imaged with a scanning tunneling microscope (STM). We find that
Fe adatoms strongly scatter metallic surface state electrons, acid so
are good building blocks for constructing atomic-scale barriers to con
fine these electrons. The barriers (''quantum corrals'') are construct
ed by individually positioning Fe adatoms using the tip of a cold (4K)
STM. Tunneling spectroscopy performed inside of the corrals reveals d
iscrete resonances, consistent with size quantization. A more quantita
tive understanding is obtained by accounting for the multiple-scatteri
ng of the surface state electrons with the corrals' constituent adatom
s. This scattering is characterized by a complex phase shift which can
be extracted from the electronic density pattern inside a quantum cor
ral.