Until recently, surface reconstruction and roughening have been studie
d as separate surface phenomena and have been described theoretically
by means of separate models. This approach is reasonable when the deco
nstruction transition has a displacive character as occurs for example
on Mo(001) and W(001) surfaces. In these cases only in-plane degrees
of freedom are involved in the reconstruction process. Conversely, a u
nified approach to reconstruction and roughening seems more appropriat
e when the reconstructed phase is produced by the low-temperature orde
ring of a large concentration of point defects (vacancies, adatoms) or
extended defects (steps). The reconstruction in these cases involves
off-plane degrees of freedom. Since roughening derives from the prolif
eration of thermally excited steps, the interplay between steps and de
constructive defects may provide the connection between the two transi
tions. A notable example of these latter systems is provided by the (1
10) surface of noble and near-noble metals; the (110) surface of the h
eavier metals (Au, Pt) reconstructs at low temperature in the 2 x 1 mi
ssing-row structure. In the present article we review some statistical
mechanics models able to display both deconstruction and roughening o
f the fcc(110) missing-row phase, chosen as a paradigmatic example of
the interplay between the two transitions. The properties of the phase
between deconstruction and roughening, produced by the different mode
ls are analysed, and compared with the results of molecular-dynamics s
imulations with continuous potentials. The fingerprint of the differen
t phases in scattering measurements are discussed and compared with th
e experimental data available.