Ca/Si(111) "3x1" reconstruction was the first anisotropic surface structure that I have studied looking for one-dimensional behavior. The quotation marks around "3x1" assignment are because of some controversy of the actual atomic arrangement: essentially almost all studies with diffraction techniques (LEED, RHEED) produce a typical 3x1 pattern. STM observations however indicate a 3x2 arrangement, which agrees with photoemission results. In fact, recent model of a 3x2 reconstruction in a similar Ba-induced system suggests the most elegant way to reconsile the various experimental observations.
An STM image of the rows of this reconstruction shows a "zig-zag" pattern typical for other 3x1 reconstructions on Si(111) (mostly alkali-induced).

There are two main types of structural models proposed for these zig-zag chains. First model (left image below) associates the observed bright protrusions with actual atoms (or atomic orbitals) arranged in a zig-zag manner. Models of the second type (right image below) assume a chain of ring-like structures instead, and associate the bright spots with two edges of the rings.
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While even some basic considerations such as typical bond lengths are not very consistent with a simple zig-zag chain of atoms, the ring-like model tends to explain the observed STM images well. Another strong supporting evidence for the ring-like structural element is the observation of the edge row features. Basically rows on the boundaries of the 3x1 domains are of bright-dark-bright structure consistent with the ring-like structural units, but not consistent with a double-wide-bright-dark structure expected for a chain-like arrangement.
Does this surface have a 1D metallic band? Go on to the PES results for the answer!
Au-induced "5x1" on Si(111)
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