Unlike helium discussed in an earlier post hydrogen does not like to live in isolation. The single electron in a hydrogen atom occupies an unfilled electron shell. If importance is that hydrogen is the only atom to which quantum mechanics equations can be applied and solved exactly. This is fortunate because the functions that result from those equations, hydrogenic orbitals are used to calculate approximate solutions to quantum mechanics equations applied to more complex atoms and molecules.
Hydrogen's unfilled shell wants a second electron. However if a second electron is just added the atom has an overall negative(-1) charge which is not especially stable. Ideally and atom wants to fill its electron shells without giving the stuff made up of that matter an overall positive or negative charge. A way for hydrogen to accomplish this is to partner with another hydrogen and share a pair of electrons.
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