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This lecture covers the concept of phase diagrams in binary systems, focusing on the phases present as a function of temperature and composition. The instructor explains the invariants, such as eutectic and peritectic points, and provides examples using Fe-C and Al-Ga systems. The lecture also discusses the formation of intermetallic phases and the miscibility gap. Students learn to interpret phase diagrams, identify different types of points, and understand the behavior of alloys at specific temperatures. Additionally, the lecture introduces the rule of levers to determine phase compositions and emphasizes the importance of understanding phase transformations in materials science.