Bones takes 2-3 months to unite completely and the process of remodeling and consolidation takes carries on for years together. But this should not concern you much( all technical stuff). In the process of bone healing
there is "stage of calcification " in which calcium and other other minerals fills up the gap. only when more than 50% of the calcium is deposited , it is visible on X rays.
what I want to say is that the radiological (x ray) union always lags behind the clinical union i.e bones may have united but they are not visible on x rays. it takes 6-8 weeks for x rays to show the union. So x rays should not concern you, the bone may have already be united.
my advise to you is DONT WORRY. But avoid heavy activity with that hand until 3 months as the bone is united but not consolidated. it may refracture.
I hope you are satisfied.