A general regular-type geometric model with both regular and non-regul
ar weight factors is presented for quaternary and higher-order systems
. It is thermodynamically strict for regular solutions and may be used
in a semi-empirical manner for non-regular solutions in a systematic
prediction of their thermodynamic properties and phase diagrams from b
inary selected data. All known corresponding models such as the extend
ed forms of the Kohler, Toop, Muggianu and Colinet models and many mor
e new ones for the multicomponent systems are then demonstrated as its
simple special forms with different weight factors.