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this lecture is not a lecture itamp;#39;s a worked problem basically where i walk you through how a binary phase diagram works to explain the crystallization of a basaltic system so letamp;#39;s this is saying how do we explain a rock of clinopyroxene and plagioclase like we see here in this beautiful photomicrograph we can explain it based on the textures present or we could use a set of of thermodynamic mathematical models validated by experiments to explain the conditions for how this gabbro of basaltic composition worked so letamp;#39;s get rid of that picture it was beautiful to have to start but now we need to do get rid of that and weamp;#39;re going to do our worked set so this is just an to title this will be this is an example of a binary phase diagram and itamp;#39;s of a basaltic composition melt our melt composition that weamp;#39;re starting with and so so what weamp;#39;re going to do is weamp;#39;re going to walk through the cooling um crystallization sequence o