It is shown that the second moment approximation to the tight binding method allows a functional to be set up which describes transition metals, noble metals and their alloys. It is assumed that the local electronic density of states is rectangular and that the width varies from site to site. It is then shown how the Monte Carlo method can be used to study order in solid solution with a large difference in size between components: atoms of different nature are exchanged and their neighbours are simultaneously displaced in accordance with the microscopic theory of elasticity. The phase diagram of the simulated alloys is then constructed. Experimental results are qualitatively well reproduced but transition temperatures are difficult to evaluate accurately because of a bad estimation of the vibration entropy. A local tendency towards ordering due to chemical effects is shown at the defect proximity. 40 figs., 100 refs.