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An elements most stable form is usually is usually its more "basic" form. For example, O2 has a deltaH of 0 since it's only using one element. Another example would be that C(gr)--> C(gr) is in its most stable form since it doesn't take any energy to remain in the same state, but C(gr)--> C(diamond) is NOT because it requires energy to make C(gr) into diamond form.
In this context, "most stable form" is regarding most stable elemental form. Most elements are monatomic and thus are most stable as is. However the diatomic molecules, as its name implies, is most stable when there are two atoms of it. (ex: O2)
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