We develop an exactly solvable microscopic model for analyzing the strain-m
ediated interaction of vacancy lines in a pseudomorphic adsorbate system. T
he model is applied to Ga/Si(112) by extracting values for the microscopic
parameters from total-energy calculations. The results, which are in good a
greement with experimental observations, reveal an unexpectedly complex int
erplay between compressive and tensile strain within the mixed Ga-Si surfac
e layer.