How does temperature play a role in nucleosynthesis?

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How does temperature play a role in nucleosynthesis? I am studying the Big Bang, and am wondering how the first hydrogen atoms were made. This is a basic question, and am wondering how they were made.
 
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A great deal depends on temperature. This lecture (Susskind, Cosmology, Lecture 8) talks about that in detail, going back much further than just hydrogen. If the start seems unclear, begin at lecture 7.