Starting with hydrogen, in what order do elements undergo fission on the sun?

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I think you mean, in what order do elements undergo fusion on the sun.  Fission occurs when larger elements, such as uranium, split into smaller elements and release one or more sub-atomic particles such as neutrons, in the process.

Fusion is the joining together of two small elements to form a new larger element.  The primary fusion process on the sun is the combining of two hydrogen atoms to form an atom of helium.

On stars like our sun, the only fusion reactions are hydrogen combining to form helium.

On stars that are bigger than the sun, additional fusion reactions can take place. In turn, helium and hydrogen can combine to form lithium.  Two helium can combine to form berylium and so on. This process can continue until iron (element 26) is formed.

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