Experimental studies of the phase transitions in the adsorption system Li/M
o(112) are presented. This system is a model system for highly anisotropic
interactions. From measurements of the half-widths of the low-energy electr
on diffraction spot profiles a phase diagram is derived for the whole submo
nolayer region of coverage in the temperature range 100-500 K. The commensu
rate low-coverage phases below theta=0.6 form chains normal to the troughs
of the substrate. The commensurate p(4X1) phase, which is completed at a co
verage, theta, of 0.25 monolayers (ML), seems to he truly long range ordere
d, whereas the p(2x1) phase at theta=0.5 still contains domain boundaries e
ven at the lowest temperature of 100 K. Both undergo temperature driven ord
er-disorder phase transitions. In contrast, the incommensurate phases exist
ing in the coverage range theta=0.66-0.90 form chains along the troughs, wh
ich are only weakly coupled normal to the troughs of the substrate. These p
hases exhibit two coverage-driven phase transitions from rectangular to obl
ique units cells and back at critical coverages of 0.66 and 0.85, respectiv
ely, and represent floating solids. As a function of temperature, they unde
rgo a two-dimensional melting transition. Close to the critical coverages,
the melting temperatures show a sharp drop below the temperature range acce
ssible in our experiments. Both functional dependences of the angular devia
tion from 90 degrees and of the melting temperature on coverage are in good
agreement with a phenomenological theoretical model, assuming an instabili
ty of the shear modulus of the adsorbate unit cell at the critical coverage
s.