A modified associate species thermochemical model has been developed for the liquid/glass in nuclear waste glass systems, and provides a simple means for relatively accurately representing the thermochemistry of the liquid/glass phase. A modification of the methodology is required when two immiscible liquids are present, such that a positive interaction energy is included in the representation. The approach has been extended to include spinel-forming constituents together with the base glass system as well as development of a models for spinel phases.